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Problem 23601

竣, What type of solutions does this equation have? $v^{2}-11=-11$
䯚 two imaginary solutions no solutions two real solutions one real solution Submit

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Problem 23602

Unit 2 Week 2 Mastery Check: (40 Points) Note: You may use this website https://www.desmos.com/calculator to help you graph anything. \#1: Graph $\log _{2} x$ using $x=2,4,8,16,32$ (Count by 4's along the $x$ -axis up to 32 and go by 1 's up to 5 on the $y$ -axis) (5 Points)

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Problem 23603

Write the expression as a single logarithm. $3 \log _{2} x-\frac{1}{3} \log _{2} y+5 \log _{2} z$

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Problem 23604

In algebra, we use a(n) $\qquad$ to represent a variable.
Answer here

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Problem 23605

A rectangular bird feeder costs $\$ 18.00$ . A cylindrical bird feeder costs $\$ 24.00$ . The expected cost to keep the rectangular bird feeder filled is $\$ 3.00$ per week. The expected cost to keep the cylindrical bird feeder filled is $\$ 2.00$ per week. The equation models the break-even point. $18+3 x=24+2 x$
What does $x$ represent? the total cost to fill the rectangular bird feeder the total cost to fill the cylindrical bird feeder after the number of weeks the after any number of weeks any number of weeks bird feeders are filled $Y$ the number of bird feeders purchased each week

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Problem 23606

4 Find the following products: a $\left(2 x^{2}-3 x+5\right)(3 x-1)$ b $\left(4 x^{2}-x+2\right)(2 x+5)$ c $\left(2 x^{2}+3 x+2\right)(5-x)$ d $(x-2)^{2}(2 x+1)$ e $\left(x^{2}-3 x+2\right)\left(2 x^{2}+4 x-1\right)$ f $\left(3 x^{2}-x+2\right)\left(5 x^{2}+2 x-3\right)$ g $\left(x^{2}-x+3\right)^{2}$ h $\left(2 x^{2}+x-4\right)^{2}$ $(2 x+5)^{3}$ ) $\left(x^{3}+x^{2}-2\right)^{2}$

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Problem 23607

\#2: Find the domain of the function $f(x)=\operatorname{Ln}\left(4-x^{\wedge} 2\right)$ . (2 Points)

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Problem 23608

Combine any like terms in the expression. If there are no like terms, rewrite the expression. $10 g+9 g+2 g-8 g$ $\square$ jubmit

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Problem 23609

Follow the seven step strategy to graph the following rational function. $f(x)=-\frac{1}{x^{2}-4}$
Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comple A. The equation(s) of the vertical asymptote(s) is/are $x=2, x=-2$ . (Type an equation. Use a comma to separate answers as needed.) B. There is no vertical asymptote.
Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comp A. The equation(s) of the horizontal asymptote(s) is/are $\mathrm{y}=0$ . (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote.
Plot points between and beyond each $x$ -intercept and vertical asymptote. Find the value of the function at the giver x $f(x)=-\frac{1}{x^{2}-4}$ $\begin{array}{ll}-7 & -4\end{array}$ 0 4 7 $\square$ $\square$ $\square$ $\square$ $\square$ (Simplify your answers.)

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Problem 23610

㸚, Solve for $k$ . $11 k^{2}-5 k=0$ (xi. Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $k=$ Submit

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Problem 23611

15. In a football game, all of the home team's points are from 7 -point touchdowns and 3 -point field goals. The team scores six times. Write and solve a system of linear equations to find the numbers of touchdowns and field goals that the home team scores. (Section 5.1, Section 5.2, and Section 5.3) 260 Chapter 5 Solving Systems of Linear Equations

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Problem 23612

11 B I U A Name:
Exponential Growth/ Exponential Decay Date: $\qquad$ Period: $\qquad$ d. In how many days total will the video stop being a fan favorite?
The typical student loan has an interest rate of approximately $5 \%$ . This means a $\$ 20,000$ loan paid off over 10 years will end up costing you $\$ 28,900$
The New Jersey Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated. Create an equation that represents the number of teams, $t$ , that remained in the tournament after r rounds. I

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Problem 23613

The equation $-7(w-3)=70$ is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline $-7(w-3)=70$ & Given equation \\ \hline $\frac{-7(w-3)}{-7}=\frac{70}{-7}$ & "Choose one" \\ \hline $w-3=-10$ & "Choose one" \\ \hline $w-3+3=-10+3$ & \begin{tabular}{l} Sddition Property of Equality \\ Subtraction Property of Equality \\ Multiplication Property of Equality \\ Division Property of Equality \\ Simplifying \end{tabular} \\ \hline & \begin{tabular}{l} Distributive Property \end{tabular} \\ \hline \end{tabular}

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Problem 23614

Translate the sentence into an inequality. Four subtracted from $y$ is less than -15 . $\square$

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Problem 23615

Express the following equations in logarithmic form: (a) $5^{2}=25$ is equivalent to the logarithmic equation: $\square$ (b) $10^{-3}=0.001$ is equivalent to the logarithmic equation: $\square$

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Problem 23616

The equation $-7(w-3)=70$ is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline $-7(w-3)=70$ & Given equation \\ \hline $\frac{-7(w-3)}{-7}=\frac{70}{-7}$ & "Choose one" \\ \hline $w-3=-10$ & "Choose one" \\ \hline $w-3+3=-10+3$ & "Choose one" \\ \hline $w=-7$ & "Choose one" \\ \hline \end{tabular}

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Problem 23617

ollow the seven step strategy to graph the following rational function. $f(x)=\frac{2 x^{2}}{x^{2}-1}$
What is the $y$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $y$ -intercept is 0 . (Type an integer or a simplified fraction.) B. There is no $y$ -intercept.
What is/are the $x$ -intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept(s) is/are 0. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no $x$ -intercept.
Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the vertical asymptote(s) is/are $\square$ 7. (Type an equation. Use a comma to separate answers as needed.) B. There is no vertical asymptote.

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Problem 23618

ALGEBRA I-B-TORRES (LMS) 3-1: MathXL for School: Additional Practice (LMS graded) DUE Dec 2 - 11:59 pm Part 1 of 2
Use set-builder notation to describe the domain and range of the function.
Describe the domain of the function. If multiple correct answers are possible, use the narrowest possible answer. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. $\{x \mid x$ is an odd integer and $\square$ $\leq x \leq$ $\square$ B. $\{x \mid x<$ $\square$ C. $\{x|x\rangle$ $\square$ D. $\{x \mid x$ is an integer and $\square$ $\leq x \leq$ $\square$ \}
Help me solve this View an example Get more help - Clear all Check answer Review Progress Question 1 of 6 Back Next Type here to search 71F Clear 837 PM 12/2/2024

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Problem 23619

Find two numbers $a$ and $b$ such that the following system of linear equations is consistent dependent. $\left\{\begin{array}{r} a x-5 y=b \\ -4 x+3 y=6 \end{array}\right.$
Note that the ALEKS graphing calculator may be helpful in checking your answer. $a=$ $\square$ $b=$

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Problem 23620

The partial graph of $g(x)=\frac{1}{f(x)}$ is shown. The maximum point of $g(x)$ is at $(2,4)$ and the $y$ -intercept of $g(x)$ is 2 .
Given that $f(x)$ is a quadratic function, the equation of $f(x)$ , can be written in the form $y=a(x-p)^{2}+q$ . The value of $a+p+q$ , to the nearest tenth, is $\qquad$ . (Record your answer in the numerical response box from left to right) $\square$

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Problem 23621

lect the expressions that are equivalent to $(-5 k+3)+(6 k+3)$ $\begin{array}{c} (6 k+3)+(-5 k+3) \\ 6 k+3+-5 k+3 \\ -5 k+6 k+6 \end{array}$ $k+6$

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Problem 23622

$\log \frac{2}{5}=$ $\square$ $\ln 24.7=$

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Problem 23623

Listen
Identify the graph of $h(x)=\sqrt{x}+4$ .
Determine when the function is positive, negative, increasing, or decreasing and describe the end behavior of the function.
The function is $\square$ over the interval and over $\square$

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Problem 23624

Find the slope and the $y$ -intercept of the line. $y=5 x-4$ slope:
Undefined y-intercept: $\square$

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Problem 23625

Solve the system by substitution. $\begin{aligned} y & =2 x+4 \\ -3 x+6 y & =15 \end{aligned}$

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Problem 23626

Consider the function $h(x)=-\frac{1}{2} x^{2}-2 x+2$
What is the vertex of $h$ ? $\square$ What is the equation of the line of symmetry of $h$ ? $\square$ $h$ has a Select an answer $\square$ of $\square$ The $x$ -intercept(s) of $h$ is/are $\square$ The $y$ -intercept of $h$ is $\square$
Graph $h(x)$
Clear All Draw:

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Problem 23627

Solve the following systems using the method of substitution: $-3 x+10 y=11$ a) $\frac{x}{2}+3 y=3$

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Problem 23628

5. $343 x^{3}+64$

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Problem 23629

The population of deer in South Bend, Tennessee is being monitored for research purposes. There were 56 deer tagged initially in January 2023. Researchers found the deer growing at a monthly rate of $3.5 \%$ , which can be represented by the model: $y=56 e^{.035 t}$ . Following this trend, how many months did it take for the deer population to reach 103. Round up.

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Problem 23630

Solve the quadratic equation by completing the square: $t^{2}-10 t-20=19$ The solutions are: $t=$ $\square$ Question Help: Message instructor Calculator

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Problem 23631

Solve for $x$ . $\log _{x} 100=2$
Simplify your answer as much as possible. $x=$ $\square$ $\log$ $\log _{\square} \square$
No solution

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Problem 23632

The population of a small town in central Florida has shown a linear decline in the years 1989-2001. In 1989 the population was 35900 people. In 2001 it was 26900 people. A) Write a linear equation expressing the population of the town, $P$ , as a function of $t$ , the number of years since 1989. Answer: $\square$ B) If the town is still experiencing a linear decline, what will the population be in 2006? $\square$

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Problem 23633

3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank rate of $16 \frac{3}{4}$ liters per minute. The tank also has a drain that allows solution to leave the tank at a rate $19 \frac{4}{5}$ liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complet sentences. Answer:

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Problem 23634

Question 8 Given that $f(x)=x^{2}+4 x-5$ find the domain of $y=\frac{1}{f(x)}$ 1) $x \neq 0$ (2) $x \neq-5$ and $x \neq 1$ $3 x=-5$ and $x=1$ $4 \quad x \in \mathbb{R}$ Answer saved

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Problem 23635

10. $1024 x^{4}-648 x$

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Problem 23636

1. [-/1 Points] DETAILS MY NOTES LARCALCPRECALC3 2.2.026. ASK YOUR TEACHER PRACTICE ANOTHER
Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.) $f(x)=3 x^{5}-9 x+4.5$ The graph rises to the right. The graph falls to the right. The graph rises to the left. The graph falls to the left. Need Help? Read It Submit Answer

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Problem 23637

3. [-/1 Points] DETAILS MY NOTES LARCALCPRECALC3 2.2.034. ASK YOUR TEACHER
Use a graphing utility to graph the functions $f$ and $g$ in the same viewing window. Zoom out sufficiently far to determine if the right-hand and left-hand behaviors of $f$ and $g$ appear identical. $f(x)=3 x^{4}-6 x^{2}, \quad g(x)=3 x^{4}$ Yes No Need Help? Read It Submit Answer

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Problem 23638

(1 point) The graph below is a vertical and/or horizontal shift of $y=1 / x$ (assume no reflections or compression/expansions have been applied). (a) The graph's equation can be written in the form $f(x)=\frac{1}{x+A}+B$ for constants $A$ and $B$ . Based on the graph above, find the values for $A$ and $B$ . $A=$ $\square$ and $B=$ $\square$ (b) Write your answers from part (a) as a single fraction. $f(x)=\frac{M x+C}{x+D}$ for constants $M, C$ , and $D$ . What are the values of $M, C$ , and $D$ ? $M=$ $\square$ $C=$ $\square$ , and $D=$ $\square$

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Problem 23639

Moneysaver's Bank offers a savings account that earns $5 \%$ interest per year, compounded continuously. If Michael deposits $\$ 2600$ , how much will he have in the account after seven years, assuming he makes no withdrawals?
Do not round any intermediate computations, and round your answer to the nearest cent. \ $【I$ \square$

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Problem 23640

Find reciprocal of sum $\frac{1}{R_{1}}+\frac{1}{400}$

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Problem 23641

5. If $f(x)=-x^{2}-2 x+1$ and $g(x)=x+2$ a. Find $(f o g)$ b. Find $g(f(-2)$

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Problem 23642

Write the system of equations as an augmented matrix. $\left\{\begin{array}{l} 4 x-4 y=-44 \\ -7 x-y=-99 \end{array}\right.$ $\square$ $\square$ Reduce the matrix into reduced row echelon form. $\square$ $\square$ $\square$ $\square$ Determine the solution to the original system of equations. $(x, y)=$ $\square$

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Problem 23643

The point $\left(5 \frac{5}{8}, 2 \frac{1}{4}\right)$ lies on the graph of a linear function that represents a proportional relationship. Part A Write an equation for this function. What is the slope?

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Problem 23644

Boyle's Law involves the pressure and volume of gas in a container. It can be represented by the formula $P_{1} V_{1}=P_{2} V_{2}$ . When the formula is solved for $P_{2}$ , the result is 1) $P_{1} V_{1} V_{2}$ 2) $\frac{V_{2}}{P_{1} V_{1}}$ 3) $\frac{P_{1} V_{1}}{V_{2}}$ 4) $\frac{P_{1} V_{2}}{V_{1}}$

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Problem 23645

Let $f(x)=-3 x^{2}-x+2$ ; evaluate $f(x-1)$

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Problem 23646

When solving for the value of $x$ in the equation $4(x-1)+3=18$ , Aaron wrote the following lines on the boarc [line 1] $4(x-1)+3=18$ [line 2] $4(x-1)=15$ [line 3] $4 x-1=15$ [line 4] $4 x=16$ [line 5] $x=4$
Which property was used incorrectly when going from line 2 to line 3 ? 1) distributive 3) associative 2) commutative 4) multiplicative inverse

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Problem 23647

[2] 6. Simplify $2-4|3-x|$ , given that $x<3$ . (a) $4 x-10$ (b) $2 x-6$ (c) $6-2 x$ (d) $14-4 x$

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Problem 23648

17) $(9 i)-(-6 i+10)=$ 18) $(12 i+8)+(-7 i)=$ 19) $(13 i)-(17+3 i)=$ 20) $(3+5 i)+(8+3 i)=$ 21) $(8-3 i)+(4+i)=$ 22) $(10+9 i)+(6+8 i)=$

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Problem 23649

Suppose the amount of a certain radioactive substance in a sample decays from 5.20 mg to 1.90 mg over a period of 6.21 minutes. Calculate the half life of the substance.
Round your answer to 2 significant digits. $\square$ $\square$ $\times 10$

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Problem 23650

5. [-/7 Points] DETAILS MY NOTES LARCALCPRECALC3 2.2.044.
Consider the following. $f(x)=x^{4}-x^{3}-56 x^{2}$ (a) Find all the real zeros of the polynomial function. $\begin{array}{l} x=\square \text { (smallest value) } \\ x=\square \text { (largest value) } \\ x=\square \end{array}$ (b) Determine the multiplicity of each zero and the number of turning points of the graph of the function. - Select- - Select- (smallest $x$ -value) - Select (largest $x$ -value)
The number of turning points is $\square$ -Select-- $\checkmark$ Need Help? Read It

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Problem 23651

Add. Write your answer in simplest form. $9 \sqrt{5}+5 \sqrt{5}$ $\square$ Submit

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Problem 23652

Add. Write your answer in simplest form. $-10 \sqrt{7}+2 \sqrt{7}$ $\square$ Submit

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Problem 23653

- Student A drives a car and hits other causes a loss of \ $12,000 - The insurance features are as follwing. - 1.If driver hits others on purpose, no payment. - 2. Otherwises, the maximum is$ \ $9,000$ - 3. The customer should pay $\$ 1,200$ from their own pocket. - 4. The copayment rate is $16 \%$ . - How much can A claim from insurance company?

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Problem 23654

Kala-needs $\$ 8346$ for a future project. She can invest $\$ 6000$ now at an annual rate of $3.4 \%$ , compounded quarterly. Assuming that no withdrawals are made, how long will it take for her to have enough money for her project?
Do not round any intermediate computations, and round your answer to the nearest hundredth. $\square$ years

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Problem 23655

Find the solution of the exponential equation $13 e^{x}-19=12$ The exact solution, in terms of the natural logarithm is: $x=$ $\square$ The approximate solution, accurate to 4 decimal places is: $x=$ $\square$

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Problem 23656

Indium-116 is radioactive and has a half life of 14.10 seconds. What percentage of a sample would be left after 48.7 seconds? Round your answer to 2 significant digits.
形 $\%$ $\square$ $\times 10$

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Problem 23657

Solve for $x$ : $\begin{array}{l} \log (x)+\log (x+5)=4 \\ x= \end{array}$
You may enter the exact value or round to 4 decimal places.

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Problem 23658

Question Use the power rule to rewrite the expression $\log k^{3}$ ?
Provide your answer below:

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Problem 23659

Write the system of equations as an augmented matrix. $\left\{\begin{array}{l} -3 x+6 y-6 z=-54 \\ -2 x+3 y-7 z=-106 \\ -7 x-3 y-7 z=-272 \end{array}\right.$
Reduce the matrix into reduced row echelon form.
Identify the solution to the original system of equations. $(x, y, z)=(4,-1,6) \times$

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Problem 23660

There is a pair of $x$ and $y$ values that make each equation true in this system of equations: $\left\{\begin{array}{l} 5 x+3 y=8 \\ 4 x+7 y=34 \end{array}\right.$
Explain why the same pair of values also make $9 x+10 y=42$ true.

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Problem 23661

ite the matrix in reduced row echelon form. $\left[\begin{array}{rrr|r} 2 & -1 & -3 & -26 \\ -5 & 6 & 2 & 53 \\ -2 & 3 & 6 & 99 \end{array}\right]$

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Problem 23662

1. You can write an equation to solve comparison problems. An equation is a number sentence that uses the equal sign ( $=$ ) to show that two expressions have the same value. Phrases, such as times as many as or more than, can be used to compare quantities.
Compare with Multiplication There are 6toys and 3 times as many books. How many books, $b$ , are there?
Compare with Addition There are 6 toys. There are 12 more books than toys. How many books are there? $b=3 \times 6$ $b=6+12$ $b=$ $\qquad$ books $b=$ $\qquad$ books

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Problem 23663

Question 19 (1 point) The height, $h$ , in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function $h(t)=18 \sin (50 \pi t)+18$ , where $t$ is the time, in seconds. What is the piston's minimum height? a) -18 cm b) 18 cm c) 0 cm d) 9 cm

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Problem 23664

Factor $x^{2}-3 x+2$ using FOIL backwards

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Problem 23665

Consider the following piecewise-defined function. $f(x)=\left\{\begin{array}{ll} 7^{-x-4}-3 & \text { If } x<-4 \\ \frac{-36}{x+8}+7 & \text { if } x>-4 \end{array}\right.$
Step 3 of 3 : Evaluate this function at $x=-6$ . Write the exact answer. Do not round. If the answer is undefined, write Und as your answer. $f(-6)=\square$

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Problem 23666

Simplify. $\sqrt{\frac{6}{27}}$

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Problem 23667

53. $\frac{15}{\sqrt{5}}$
54. $\frac{5}{\sqrt{18}}$
58. $\frac{\sqrt{32 a^{5} b^{3}}}{\sqrt{2 a b^{2}}}$
62. $\frac{9 \sqrt[5]{160 x^{8} y^{11}}}{3 \sqrt[5]{5 x y^{2}}}$ 67.) $\frac{\sqrt{7}-\sqrt{3}}{\sqrt{3}-\sqrt{7}}$
55. $\frac{8 \sqrt{3}}{\sqrt{k}}$
59. $\frac{6 \sqrt{45 x^{3}}}{3 \sqrt{5 x}}$ $63 \frac{2}{3+\sqrt{5}}$
68. $\frac{\sqrt{7}+\sqrt{5}}{\sqrt{5}+\sqrt{2}}$
56. $\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}$
60. $\frac{\sqrt[3]{625 x^{6} y^{4}}}{\sqrt[3]{5 x y}}$
64. $\frac{2+\sqrt{5}}{6-\sqrt{3}}$
69. $\frac{3 \sqrt{2}-\sqrt{7}}{4 \sqrt{2}+\sqrt{5}}$
57. $\sqrt[3]{\frac{10}{9}}$
61. $\frac{\sqrt[3]{27 x y^{7}}}{\sqrt[3]{x y}}$
65. $\frac{1+\sqrt{2}}{3+\sqrt{5}}$
70. $\frac{5 \sqrt{3}-3 \sqrt{2}}{3 \sqrt{2}-2 \sqrt{3}}$
66. $\frac{\sqrt{a}}{\sqrt{a}+\sqrt{b}}$

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Problem 23668

Find the inverse of the linear transformation $\begin{array}{l} y_{1}=4 x_{1}+8 x_{2}+17 x_{3} \\ y_{2}=5 x_{1}+9 x_{2}+17 x_{3} \\ y_{3}=x_{1}+2 x_{2}+4 x_{3} \end{array}$ $\begin{array}{l} x_{1}=\square y_{1}+\square y_{2}+\square y_{3} \\ x_{2}=\square y_{1}+\square y_{2}+\square y_{3} \\ x_{3}=\square y_{1}+\square y_{2}+\square y_{3} . \end{array}$ Preview My Answers Submit Answers

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Problem 23669

Question Watch Video Show Examples
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. $y=28(1.01)^{x}$ Answer Attempt 2 out of 2

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Problem 23670

17) $-7 n^{2}+16 n=8 n$

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Problem 23671

LARCALCPRECALC3 2.2.030.
Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.) $f(s)=-\frac{5}{6}\left(s^{3}+7 s^{2}-9 s+6\right)$ The graph rises to the right. The graph falls to the right. The graph rises to the left. The graph falls to the left.

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Problem 23672

Find the equation of the exponential function represented by the table below \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 5 \\ \hline 1 & 2.5 \\ \hline 2 & 1.25 \\ \hline 3 & 0.625 \\ \hline \end{tabular}
Answer Attempt 1 out of 2

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Problem 23673

CL 3-113. Two brothers, Martin and Horace, are in their backyard. Horace is taking down a brick wall on one side of the yard while Martin is building a brick wall on the other side. Martin lays 2 bricks every minute. Meanwhile, Horace takes down 3 bricks each minute from his wall. They both start working at the same time. It takes Horace 55 minutes to finish tearing down his wall. a. How many bricks were originally in the wall that Horace started tearing down? b. Represent this situation with equations, tables, and a graph. c. When did the two walls have the same number of bricks?

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Problem 23674

Simplify. $\sqrt{\frac{35}{4}}$

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Problem 23675

5. What is the solution to the inequality $-7(x+3)<-6(x-2)+4$ ?
A $x<5$ B. $x>5$ c. $x<-37$ D. $x>-37$

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Problem 23676

Answer $\begin{array}{l} =\sqrt{8} \times \sqrt{3}-\sqrt{8} \times 4+\sqrt{150} \\ =\sqrt{24}-4 \sqrt{8}+\sqrt{150} \\ =\sqrt{4 \times 6}-4 \sqrt{4 \times 2}+\sqrt{25 \times 6} \\ =2 \sqrt{6}-8 \sqrt{2}+5 \sqrt{6} \\ =7 \sqrt{6}-8 \sqrt{2} \end{array}$

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Problem 23677

Consider the following. $f(x)=x^{4}-x^{3}-56 x^{2}$ (a) Find all the real zeros of the polynomial function. $\begin{array}{ll} x=-7 \\ x=0 \\ x=8 & \\ x= & \text { (largest value) } \end{array}$ - (largest value) (b) Determine the multiplicity of each zero and the number of turning points of the graph of the fur multiplicity $1 \sim$ multiplicity $2 \checkmark$ multiplicity $1 \sim$ (smallest $x$ -value) (largest $x$ -value)

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Problem 23678

Exponential and Logarithmic Functions Finding the time in a word problem on compound interest
Suppose that $\$ 2000$ is placed in a savings account at an annual rate of $10.8 \%$ , compounded monthly. Assuming that no withdrawals are made, how long will it take for the account to grow to $\$ 3130$ ?
Do not round any intermediate computations, and round your answer to the nearest hundredth. $\square$ years

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Problem 23679

Simplify. $\sqrt{\frac{10}{125}}$

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Problem 23680

3. A table of selected values is given for a one-to-one function, $g$ . What is $g^{-1}(1)$ ? \begin{tabular}{c|cccccc} $x$ & -4 & -2 & 0 & 1 & 5 & 8 \\ \hline $g(x)$ & 10 & 8 & -3 & -1 & -4 & 1 \end{tabular}

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Problem 23681

Write the expression as a sum and/or difference of logarithms. Express powers as factors. $\log _{5}\left(\frac{x^{3}}{x-6}\right), x>6$ $\log _{5}\left(\frac{x^{3}}{x-6}\right)=$ $\square$ (Simplify your answer.)

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Problem 23682

Solve. $\sqrt{x}=7$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x=$ $\square$ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.

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Problem 23683

Add. $(8 z+5)+(7 z+9)$
Submit

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Problem 23684

an wof find What is the ?
16. Stancha diganith Ste has 28 magness Sne amanges the magness impo 4 equal couss wite an equarion using a lener to $=$ equesent the urkioum value to find how thand magness are in each rour.

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Problem 23685

Consider the system of linear equations shown below: $\begin{array}{c} 2 x+9=-4 y \\ -x-y=2 \end{array}$
Create the coefficient matrix, $D$

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Problem 23686

e for $x$ : $625^{2 x-4}=125^{3 x-2}$

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Problem 23687

Question Watch
Solve for x : $6^{3 x-4}=1296^{-4}$
Answer Attempt 1 out of 2

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Problem 23688

Subtract. $(8 h+9)-(h+4)$
Submit

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Problem 23689

One can convert temperature from Kelvin into Fahrenheit using the formula $F=\frac{9}{5}(K-273)+32$ . What is the temperature in Kelvin corresponding to $F$ degrees Fahrenheit? A. $\frac{9}{5}(F-273)-32$ B. $\frac{5}{9}(F-32)+273$ C. $\frac{9}{5}(F-32)+273$ D. $\frac{5}{9}(F-32)-273$

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Problem 23690

Question
Solve for x : $64^{3 x+3}=4^{3 x-3}$
Answer Attempt 1 out of 2

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Problem 23691

Consider the system of linear equations shown below: $\begin{array}{l} 2 x+9=-4 y \\ -x-y=2 \end{array}$ create the matrix, $D_{x}$

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Problem 23692

Tell which property of equality was used. $\begin{aligned} 53 & =\frac{318}{w} \\ 53 \times 61 & =\left(\frac{318}{w}\right) \times 61 \end{aligned}$
Choose the correct answer below. Multiplication Property of Equality Subtraction Property of Equality Addition Property of Equality Division Property of Equality

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Problem 23693

Calculating equilibrium concentrations when the net reaction proceeds in reverse Consider mixture C, which will cause the net reaction to proceed in reverse. \begin{tabular}{lllll} & & $\leftarrow$ net & & \\ Concentration $(M)$ & { $[\mathrm{XY}]$ } & $\rightleftharpoons$ & { $[\mathrm{X}]$ } & { $[\mathrm{Y}]$ } \\ initial: & 0.200 & & 0.300 & 0.300 \\ change: $\lessgtr$ & $+x$ & & $-x$ & $-x$ \\ equilibrium: & $0.200+x$ & & $0.300-x$ & $0.300-x$ \end{tabular}
The change in concentration, $x$ , is positive for the reactants because they are produced and negative for the products because they are consumed.
Part C
Based on a $K_{\mathrm{c}}$ value of 0.130 and the data table given, what are the equilibrium concentrations of $\mathrm{XY}, \mathrm{X}$ , and Y , respectively? Express the molar concentrations numerically. View Available Hint(s) $\begin{array}{l} \sqrt[\square]{\square} A \Sigma \phi \\ {[\mathrm{XY}],[\mathrm{X}],[\mathrm{Y}]=} \\ \text { M } \end{array}$ ? Submit

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Problem 23694

Question 8, 1.7.1-10 Points: 0 of 1
Match each inequality below with its equivalent interval notation.
1. $x<-2$
2. $x \leq 2$
3. $-6<x \leq 2$
4. $x^{2} \geq 0$
5. $x \geq-2$
6. $2 \leq \mathrm{x}$ 7. 8. 9. $(-\infty, \infty)$ $[-2, \infty)$ $(-\infty, 2]$ $(-\infty,-2]$ $(-6,2]$ $[2, \infty)$ $(-\infty,-2)$ $(0,7)$ $[-6,2)$ $(-\infty,-6) \cup(2, \infty)$
Drag the equivalent interval notation above to the matching inequality below. 1. 9. 2. $\square$ 10. $\square$
3. $\square$ 4. 4.
U
5. $\square$ 6.
7. $\square$ S

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Problem 23695

Write inequalities to represent the situations below.
To ride a roller coaster, a visitor must be taller than $\mathbf{5 2}$ inches. Use h to represent the height (in inches) of a visitor able to ride. $\square$
To get the $\mathbf{1 0 \%}$ discount, a shopper must spend no less than $\mathbf{\$ 5 0 0}$ . Use $\mathbf{d}$ to represent the spending (in dollars) of a shopper who gets the discount. $\square$

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Problem 23696

Review Constants Pe
MISSED THIS? Watch KCV 15.8, IWE 15.9; Read Section 15.8. You can click on the Review link to access the section in your eText.
For the following reaction, $K_{\mathrm{c}}=255$ at 1000 K . $\mathrm{CO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{COCl}_{2}(\mathrm{~g})$ A reaction mixture initially contains a CO concentration of 0.1530 M and a $\mathrm{Cl}_{2}$ concentration of $0.172 M$ at 1000 K .
What is the equilibrium concentration of CO at 1000 K ? Express your answer in molarity to three significant figures. View Available Hint(s) $\square$ Submit
Part B
What is the equilibrium concentration of $\mathrm{Cl}_{2}$ at 1000 K ? Express your answer in molarity to three significant figures. View Available Hint(s) $\square$ Submit

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Problem 23697

Review Constants
What is the equilibrium concentration of CO at 1000 K ? Express your answer in molarity to three significant figures.
MISSED THIS? Watch KCV 15.8, IWE 15.9; Read Section 15.8. You can click on the Review link to access the section in your eText.
For the following reaction, $K_{\mathrm{c}}=255$ at 1000 K . $\mathrm{CO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{COCl}_{2}(\mathrm{~g})$ A reaction mixture initially contains a CO concentration of 0.1530 M and a $\mathrm{Cl}_{2}$ concentration of 0.172 M at 1000 K .

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Problem 23698

Katherin deposits \$75,000 in a 3-year CD account that yields 3.5\% interest, compounded weekly. What is the amount of his interest, to the nearest cent, at the end of 3 years?

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Problem 23699

? Course Help Problem Value: 1 point(s). Problem Score: 0\%. Attempts Remaining: 8 attempts. (1 point) Consider the function $f(x)=\frac{6 x+3}{6 x-1}$
Enter the equations of the vertical asymptotes. If there are no vertical asymptotes, enter none. If there is more than one vertical asymptote, enter a list of the equations separated by a comma (e.g., $x=20, x=-7$ ).
Vertical asymptotes: $\square$ Find the $x$ -intercept(s). If there is more than one $x$ -intercept give a list of the $x$ -intercepts separated by commas (i.e.: $(1,2),(3,4))$ . If there is no $x$ -intercept type in none. $x$ -intercepts: $\square$ Find the $y$ -intercept: $\square$ Find the domain of $f(x)$ : $\square$ Give your answer in interval notation.

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Problem 23700

Factor completely. Remember to look first for a common factor. Check by multiplying. If a polyno $-a^{6}-4 a^{5}+96 a^{4}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $-a^{6}-4 a^{5}+96 a^{4}=$ $\square$ B. The polynomial is prime.

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Algebra

Problem 23601

竣, What type of solutions does this equation have? v2−11=−11v^{2}-11=-11v2−11=−11䯚 two imaginary solutions no solutions two real solutions one real solution Submit

Problem 23602

Problem 23603

Write the expression as a single logarithm. 3log⁡2x−13log⁡2y+5log⁡2z3 \log _{2} x-\frac{1}{3} \log _{2} y+5 \log _{2} z3log2​x−31​log2​y+5log2​z

Problem 23604

In algebra, we use a(n) \qquad to represent a variable.Answer here

Problem 23605

Problem 23606

Problem 23607

\#2: Find the domain of the function f(x)=Ln⁡(4−x∧2)f(x)=\operatorname{Ln}\left(4-x^{\wedge} 2\right)f(x)=Ln(4−x∧2). (2 Points)

Problem 23608

Combine any like terms in the expression. If there are no like terms, rewrite the expression. 10g+9g+2g−8g10 g+9 g+2 g-8 g10g+9g+2g−8g □\square□ jubmit

Problem 23609

Problem 23610

㸚, Solve for kkk. 11k2−5k=011 k^{2}-5 k=011k2−5k=0 (xi. Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. k=k=k= Submit

Problem 23611

Problem 23612

Problem 23613

Problem 23614

Translate the sentence into an inequality. Four subtracted from yyy is less than -15 . □\square□

Problem 23615

Express the following equations in logarithmic form: (a) 52=255^{2}=2552=25 is equivalent to the logarithmic equation: □\square□ (b) 10−3=0.00110^{-3}=0.00110−3=0.001 is equivalent to the logarithmic equation: □\square□

Problem 23616

Problem 23617

Problem 23618

Problem 23619

Problem 23620

Problem 23621

lect the expressions that are equivalent to (−5k+3)+(6k+3)(-5 k+3)+(6 k+3)(−5k+3)+(6k+3) (6k+3)+(−5k+3)6k+3+−5k+3−5k+6k+6\begin{array}{c} (6 k+3)+(-5 k+3) \\ 6 k+3+-5 k+3 \\ -5 k+6 k+6 \end{array}(6k+3)+(−5k+3)6k+3+−5k+3−5k+6k+6​ k+6k+6k+6

Problem 23622

log⁡25=\log \frac{2}{5}=log52​= □\square□ ln⁡24.7=\ln 24.7=ln24.7=

Problem 23623

ListenIdentify the graph of h(x)=x+4h(x)=\sqrt{x}+4h(x)=x​+4.Determine when the function is positive, negative, increasing, or decreasing and describe the end behavior of the function.The function is □\square□ over the interval and over □\square□

Problem 23624

Find the slope and the yyy-intercept of the line. y=5x−4y=5 x-4y=5x−4 slope: Undefined y-intercept: □\square□

Problem 23625

Solve the system by substitution. y=2x+4−3x+6y=15\begin{aligned} y & =2 x+4 \\ -3 x+6 y & =15 \end{aligned}y−3x+6y​=2x+4=15​

Problem 23626

Problem 23627

Solve the following systems using the method of substitution: −3x+10y=11-3 x+10 y=11−3x+10y=11 a) x2+3y=3\frac{x}{2}+3 y=32x​+3y=3

Problem 23628

5. 343x3+64343 x^{3}+64343x3+64

Problem 23629

Problem 23630

Solve the quadratic equation by completing the square: t2−10t−20=19t^{2}-10 t-20=19t2−10t−20=19 The solutions are: t=t=t= □\square□ Question Help: Message instructor Calculator

Problem 23631

Solve for xxx. log⁡x100=2\log _{x} 100=2logx​100=2Simplify your answer as much as possible. x=x=x= □\square□ log⁡\loglog log⁡□□\log _{\square} \squarelog□​□No solution

Problem 23632

Problem 23633

Problem 23634

Question 8 Given that f(x)=x2+4x−5f(x)=x^{2}+4 x-5f(x)=x2+4x−5 find the domain of y=1f(x)y=\frac{1}{f(x)}y=f(x)1​ 1) x≠0x \neq 0x=0 (2) x≠−5x \neq-5x=−5 and x≠1x \neq 1x=1 3x=−53 x=-53x=−5 and x=1x=1x=1 4x∈R4 \quad x \in \mathbb{R}4x∈R Answer saved

Problem 23635

10. 1024x4−648x1024 x^{4}-648 x1024x4−648x

Problem 23636

Problem 23637

Problem 23638

Problem 23639

Problem 23640

Find reciprocal of sum 1R1+1400\frac{1}{R_{1}}+\frac{1}{400}R1​1​+4001​

Problem 23641

5. If f(x)=−x2−2x+1f(x)=-x^{2}-2 x+1f(x)=−x2−2x+1 and g(x)=x+2g(x)=x+2g(x)=x+2 a. Find (fog)(f o g)(fog) b. Find g(f(−2)g(f(-2)g(f(−2)

Problem 23642

Problem 23643

The point (558,214)\left(5 \frac{5}{8}, 2 \frac{1}{4}\right)(585​,241​) lies on the graph of a linear function that represents a proportional relationship. Part A Write an equation for this function. What is the slope?

Problem 23644

Problem 23645

Let f(x)=−3x2−x+2f(x)=-3 x^{2}-x+2f(x)=−3x2−x+2; evaluate f(x−1)f(x-1)f(x−1)

Problem 23646

Problem 23647

[2] 6. Simplify 2−4∣3−x∣2-4|3-x|2−4∣3−x∣, given that x<3x<3x<3. (a) 4x−104 x-104x−10 (b) 2x−62 x-62x−6 (c) 6−2x6-2 x6−2x (d) 14−4x14-4 x14−4x

Problem 23648

Problem 23649

Suppose the amount of a certain radioactive substance in a sample decays from 5.20 mg to 1.90 mg over a period of 6.21 minutes. Calculate the half life of the substance.Round your answer to 2 significant digits. □\square□ □\square□ ×10\times 10×10

Problem 23650

Problem 23651

Add. Write your answer in simplest form. 95+559 \sqrt{5}+5 \sqrt{5}95​+55​ □\square□ Submit

Problem 23652

Add. Write your answer in simplest form. −107+27-10 \sqrt{7}+2 \sqrt{7}−107​+27​ □\square□ Submit

竣, What type of solutions does this equation have? $v^{2}-11=-11$
䯚 two imaginary solutions no solutions two real solutions one real solution Submit

Write the expression as a single logarithm. $3 \log _{2} x-\frac{1}{3} \log _{2} y+5 \log _{2} z$

In algebra, we use a(n) $\qquad$ to represent a variable.
Answer here

\#2: Find the domain of the function $f(x)=\operatorname{Ln}\left(4-x^{\wedge} 2\right)$ . (2 Points)

Combine any like terms in the expression. If there are no like terms, rewrite the expression. $10 g+9 g+2 g-8 g$ $\square$ jubmit

㸚, Solve for $k$ . $11 k^{2}-5 k=0$ (xi. Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $k=$ Submit

Translate the sentence into an inequality. Four subtracted from $y$ is less than -15 . $\square$

Express the following equations in logarithmic form: (a) $5^{2}=25$ is equivalent to the logarithmic equation: $\square$ (b) $10^{-3}=0.001$ is equivalent to the logarithmic equation: $\square$

lect the expressions that are equivalent to $(-5 k+3)+(6 k+3)$ $\begin{array}{c} (6 k+3)+(-5 k+3) \\ 6 k+3+-5 k+3 \\ -5 k+6 k+6 \end{array}$ $k+6$

$\log \frac{2}{5}=$ $\square$ $\ln 24.7=$

Listen
Identify the graph of $h(x)=\sqrt{x}+4$ .
Determine when the function is positive, negative, increasing, or decreasing and describe the end behavior of the function.
The function is $\square$ over the interval and over $\square$

Find the slope and the $y$ -intercept of the line. $y=5 x-4$ slope:
Undefined y-intercept: $\square$

Solve the system by substitution. $\begin{aligned} y & =2 x+4 \\ -3 x+6 y & =15 \end{aligned}$

Solve the following systems using the method of substitution: $-3 x+10 y=11$ a) $\frac{x}{2}+3 y=3$

5. $343 x^{3}+64$

Solve the quadratic equation by completing the square: $t^{2}-10 t-20=19$ The solutions are: $t=$ $\square$ Question Help: Message instructor Calculator

Solve for $x$ . $\log _{x} 100=2$
Simplify your answer as much as possible. $x=$ $\square$ $\log$ $\log _{\square} \square$
No solution

Question 8 Given that $f(x)=x^{2}+4 x-5$ find the domain of $y=\frac{1}{f(x)}$ 1) $x \neq 0$ (2) $x \neq-5$ and $x \neq 1$ $3 x=-5$ and $x=1$ $4 \quad x \in \mathbb{R}$ Answer saved

10. $1024 x^{4}-648 x$

Find reciprocal of sum $\frac{1}{R_{1}}+\frac{1}{400}$

5. If $f(x)=-x^{2}-2 x+1$ and $g(x)=x+2$ a. Find $(f o g)$ b. Find $g(f(-2)$

The point $\left(5 \frac{5}{8}, 2 \frac{1}{4}\right)$ lies on the graph of a linear function that represents a proportional relationship. Part A Write an equation for this function. What is the slope?

Let $f(x)=-3 x^{2}-x+2$ ; evaluate $f(x-1)$

[2] 6. Simplify $2-4|3-x|$ , given that $x<3$ . (a) $4 x-10$ (b) $2 x-6$ (c) $6-2 x$ (d) $14-4 x$

Suppose the amount of a certain radioactive substance in a sample decays from 5.20 mg to 1.90 mg over a period of 6.21 minutes. Calculate the half life of the substance.
Round your answer to 2 significant digits. $\square$ $\square$ $\times 10$

Add. Write your answer in simplest form. $9 \sqrt{5}+5 \sqrt{5}$ $\square$ Submit

Add. Write your answer in simplest form. $-10 \sqrt{7}+2 \sqrt{7}$ $\square$ Submit

Find the solution of the exponential equation $13 e^{x}-19=12$ The exact solution, in terms of the natural logarithm is: $x=$ $\square$ The approximate solution, accurate to 4 decimal places is: $x=$ $\square$

Indium-116 is radioactive and has a half life of 14.10 seconds. What percentage of a sample would be left after 48.7 seconds? Round your answer to 2 significant digits.
形 $\%$ $\square$ $\times 10$

Solve for $x$ : $\begin{array}{l} \log (x)+\log (x+5)=4 \\ x= \end{array}$
You may enter the exact value or round to 4 decimal places.

Question Use the power rule to rewrite the expression $\log k^{3}$ ?
Provide your answer below:

There is a pair of $x$ and $y$ values that make each equation true in this system of equations: $\left\{\begin{array}{l} 5 x+3 y=8 \\ 4 x+7 y=34 \end{array}\right.$
Explain why the same pair of values also make $9 x+10 y=42$ true.

ite the matrix in reduced row echelon form. $\left[\begin{array}{rrr|r} 2 & -1 & -3 & -26 \\ -5 & 6 & 2 & 53 \\ -2 & 3 & 6 & 99 \end{array}\right]$

Factor $x^{2}-3 x+2$ using FOIL backwards

Simplify. $\sqrt{\frac{6}{27}}$

Question Watch Video Show Examples
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. $y=28(1.01)^{x}$ Answer Attempt 2 out of 2

17) $-7 n^{2}+16 n=8 n$

Find the equation of the exponential function represented by the table below \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 5 \\ \hline 1 & 2.5 \\ \hline 2 & 1.25 \\ \hline 3 & 0.625 \\ \hline \end{tabular}
Answer Attempt 1 out of 2

Simplify. $\sqrt{\frac{35}{4}}$