Algebra

Problem 30701

Find the values that make the expression $\frac{3 y-5}{y^{2}-36}$ undefined. Choose from: A. $y=6, y=-6$ B. $y=36$ C. $y=6$ D. $y=\frac{5}{3}$

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Problem 30702

The Lopez family drove 210 miles to Nashville and 390 miles total. Find the distance to Knoxville and the property of equality used.

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Problem 30703

A car on a $2.6^{\circ}$ uphill grade has a resistance of $112 \mathrm{lb}$ . Find the car's weight to the nearest hundred pounds.

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Problem 30704

Simplify the expression: $\frac{18 k^{3}}{6 k}$ . What is the result? A. $3 k^{2}$ B. $12 k^{2}$ C. 12 D. $3 k$

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Problem 30705

1. Solve $-\frac{3}{4} y=\frac{8}{20}$ for $y$ .
2. The Lopez family drove 210 miles to Nashville and 390 miles total. Find the distance from Nashville to Knoxville.
3. Explain a property of equality to isolate the variable.
4. How far is Knoxville from Nashville, and how can you verify your answer?
5. If they drive 47 miles less to Chattanooga, write an equation for the distance from Memphis to Chattanooga. How far is Chattanooga from Nashville?

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Problem 30706

Simplify the expression: $\frac{a^{2}-ab+9a-9b}{a+9}$ . Use grouping to factor the numerator.

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Problem 30707

Graph the inequality $x \leq -1$ or $x > 2$ on a number line.

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Problem 30708

Simplify the expression: $\frac{-10 x-10 y}{x+y}$ . Choose the correct option: A. $\frac{1}{10}$ B. -10 C. $-\frac{1}{10}$ D. 10

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Problem 30709

What grade does Jenny need on her third History test to average 80 if she scored 70 on the first two tests?

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Problem 30710

Find $x$ for the function $f(x)=\frac{9 e^{x}}{e^{x}-2}$ where $e^{x}-2=0$ .

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Problem 30711

Simplify the expression: $\frac{3 x-3 y}{3 y-3 x}$ . Choose A. 1, B. -3, C. 3, or D. -1.

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Problem 30712

Simplify the product: $\frac{x^{2}+x}{2} \cdot \frac{8}{x+1}$ . Select the correct answer.

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Problem 30713

Find the product and simplify: $\frac{z^{3}}{40 z} \cdot \frac{5}{2 z^{2}}$ . Options: A. $\frac{1}{16 z}$ B. $\frac{z}{16}$ C. $\frac{1}{16}$ D. $\frac{z^{3}}{16 z^{2}}$

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Problem 30714

Find the slope of the line given by the equation $12 x - 3 y = -21$ .

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Problem 30715

Find the $x$ -intercept and $y$ -intercept of the line $-x + 2y = 2$ . $x$ -intercept: 2, $y$ -intercept: ?

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Problem 30716

Find the distance from the zero at 4 to the line of symmetry at $x=-3$ , and determine the other zero of the quadratic function.

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Problem 30717

Find the slope-intercept form of a line with $x$ -intercept $=7$ and $y$ -intercept $=2$ .

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Problem 30718

Solve the system using Gaussian elimination and backward substitution. Find the ordered triple for $x$ , $y$ , $z$ :
$\begin{array}{rr} x+2y+4z= & 14 \\ -x+3y+4z= & 8 \\ x+y-5z= & -20 \end{array}$
Choose A, B, or C based on the solution type.

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Problem 30719

Jeremy walked $\frac{1}{4}$ of the way to school (1.5 miles). How far did he ride with his friend?

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Problem 30720

Find the quotient and simplify: $(y-4)^{2}/5 \div (5y-20)/25$ . Select one: A, B, C, or D.

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Problem 30721

A car moves at 41 m/s using 756 J/s. How far does it travel using 52,700 J? Calculate the distance.

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Problem 30722

To eliminate $x$ in the system below, if you multiply the first equation by 8, what should you multiply the second by?
$\begin{array}{l} -6 x+8 y=-5 \\ -8 x-13 y=0 \end{array}$

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Problem 30723

Find the $y$ -intercept and $x$ -intercept of the line: $5x - 6y = 30$ . What are the intercepts?

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Problem 30724

Find the solutions for $x^{2}=81$ using factoring methods.

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Problem 30725

Solve the compound inequality: $3(z-1) \geq -3$ or $7-z \leq 9$ . Provide the solution set in interval notation.

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Problem 30726

Find the new function after a horizontal shrink by $1 / 3$ applied to $f(x)=|x-1|+3$ .

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Problem 30727

Add and simplify: $\frac{2}{11+x}+\frac{x+6}{11+x}$ . Choose the correct answer from the options given.

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Problem 30728

Step 1: $\quad$ Subtract the exponents of powers with like bases. $\left(\frac{x^{6} y}{2}\right)^{-2}$
Step 2: Apply the power of a product rule. $\frac{x^{-12} y^{-2}}{2^{-2}}$
Step 3: Write negative exponents as reciprocals using positive exponents. $\frac{1}{2^{2} x^{12} y^{2}}$
Step 4: Evaluate the power with the integer base. $\frac{1}{4 x^{12} y^{2}}$
In which step did Loi make the first error?

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Problem 30729

Which $x$ -value is a solution to $-6 x+8<-16 ?$

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Problem 30730

$\begin{aligned} y & = 5 - \frac{x}{5} \\ D: & \leq x \leq \\ R: & \leq y \leq \end{aligned}$

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Problem 30731

Oliver has a points card for a movie theater. - He receives 65 rewards points just for signing up. - He earns 9.5 points for each visit to the movie theater. - He needs 141 points for a free movie ticket.
Write and solve an equation which can be used to determine $v$ , the number of visits Oliver must make to earn a free movie ticket.
Answer Attempt 1 out of 2
Equation: $\square$ Answer: $v=$ $\square$

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Problem 30732

A new apartment complex is being built down the street from Denise's house. The apartment complex has 4 floors, and residents can choose between the Kensington floor plan with 2 bedrooms or the Windshire floor plan with 3 bedrooms. There are $k$ Kensington apartments and $w$ Windshire apartments on each floor.
Pick all the expressions that represent how many bedrooms are in the new apartment complex. $4(2 k+3 w)$ $20(k+w)$ $8 k+12 w$ $4(2 k)+4(3 w)$

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Problem 30733

Find the vertex, axis of symmetry (AOS), domain, range, and transformations of the function $f(x) = 3|x-2|$ .

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Problem 30734

$\frac{\sqrt{3 x} \cdot 3 x}{2}-\frac{2 x \cdot x^{2 / 3 \sqrt{3} x}}{2}$

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Problem 30735

Temukan nilai eigen dan vektor eigen dan matriks A -3 3 3-5 3 6-64

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Problem 30736

1. Temukan nilai eigen dan vektor eigen dari matriks $A=\left[\begin{array}{ccc}1 & -3 & 3 \\ 3 & -5 & 3 \\ 6 & -6 & 4\end{array}\right]$

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Problem 30737

20. People are entering a stadium at a steady rate of 32 people per minute. When the gates open, there are already 46 people in the stadium. No one leaves the stadium for the first hour after the gates have opened. (a) How many people will be in the stadium 30 minutes after it opens? Show the calculations that lead to you answer. (b) Write a linear equation for the number of people, $n$ , as a function of the time in minutes, $m$ , since the gates were opened. $\begin{aligned} 32(30) & =960 \text { people } \\ & +46 \text { people } \\ & 1006 \text { people } \end{aligned}$ $n(m)=32 n+46$ (c) After one hour, no additional people enter, but some start to leave. If it takes a total of 4 hours for the stadium to completely empty, what is the average rate at which people leave, in people per hour? Show the calculations that lead to your answer. $\begin{aligned} h(60) & =32(60)+46 \\ & =1966 \text { prople } \end{aligned}$ $=1966$ people $\frac{1966}{3}=6553 \geqslant \text { people pe }$

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Problem 30738

Sale! 75\% OFF of the original price! Video (b) Questions answered 13 Time elapsec
The sale price of a computer keyboard is $\$ 9$ . What was the original price? 00 10 HR MIN \\square$ Smarts out of 1 Submit

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Problem 30739

QUESTION 2 Multiply and simplify completely. $(2-\sqrt{6})(4+\sqrt{6})$ $\square$

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Problem 30740

Use the Quadratic Formula to solve the equation $x^{2}-8 x+61=0$ $x=$ $\square$ (Separate answers by a comma. Write answers as integers or reduced fractions.)
If the answer is radical use sqrt(5) to denote $\sqrt{5}$ (use the correct radicand in the problem!) If the answer is complex use $i$ to denote $i$ . Question Help: $\square$ Message instructor Submit Question Jump to Answer

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Problem 30741

A bike store sells scooters at a 54\% markup. If the store bought each scooter for $\$ 29.95$ , what is the selling price to the nearest dollar?

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Problem 30742

Simpliby mo expression $x^{4} y^{3} \cdot x^{2} y^{8}$

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Problem 30743

Radicals
Use the product rule to simplify the radical. $\begin{array}{c} \sqrt{54} \\ \sqrt{54}=\square \end{array}$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

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Problem 30744

d) $210=40(1.5)^{x}$

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Problem 30745

LATIHAN
1. Temukan nilai eigen dan vektor eigen dari matriks $A=\left[\begin{array}{ccc}1 & -3 & 3 \\ 3 & -5 & 3 \\ 6 & -6 & 4\end{array}\right]$
2. Temukan nilai eigen dan vektor eigen dari matriks $A=\left[\begin{array}{cc}0 & 1 \\ -2 & -3\end{array}\right]$

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Problem 30746

Fill in all necessary information from the given function. 1.

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Problem 30747

18. Solve the following inequality algebraically $|2 x-6|<7$

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Problem 30748

$3(x+2)=21$

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Problem 30749

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your onswer. How could you correctly rewrite the equation $4(5+3)=2(22-6)$ using the distributive property? $20+12=44-12$

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Problem 30750

Solve for $a$ . Express your answer in simplest radical form if necessary. $a^{3}=78$
Answer Attempt 1 out of 2

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Problem 30751

(4) What is $x$ ?
$x^{2}=169$ $\square$ $\begin{array}{l} x=-84.5 \\ x=-16 \end{array}$ $\qquad$ $\begin{array}{l} \hat{x}=-16 \\ x=-13 \end{array}$ $\square$ $x=13$
$x=16$ $\qquad$ $x=84.5$

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Problem 30752

Find the horizontal asymptote, if any, of the graph of the rational function. $h(x)=\frac{11 x^{3}}{5 x^{2}+8}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choi A. The horizontal asymptote is $\square$ . (Type an equation.) B. There is no horizontal asymptote.

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Problem 30753

Find the horizontal asymptote, if any, of the graph of the rational function. $f(x)=\frac{-6 x+7}{5 x+4}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The horizontal asymptote is $\square$ . (Type an equation. Simplify your answer. Use integers or fractions for any numbers in the equation.) B. There is no horizontal asymptote.

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Problem 30754

$\begin{array}{l}6(w+1)-3 w=3(w+4 \\ 2(3 a-1)=4 a+10 \\ 7 b-3(b+2)=4 b-11 \\ 5(c-2)+3 c=4(2 c+1\end{array}$

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Problem 30755

Essay 10 points Let $f(x)=\frac{1}{x+5}-4$ - Enter the equation of the vertical asymptote of $f(x)$ . - Enter the equation of the horizontal asymptote of $f(x)$ . - Enter the domain of $f(x)$ in interval notation. - Enter the range of $f(x)$ in interval notation. - State the vertical and/or horizontal transformation(s). - Graph $f(x)$ , by hand. - Include: - Asymptotes as dotted lines - x-intercepts as precise points - Open dot where there is a hole in the graph (if applicable) (1 point) each correct answer (5 points) correct labeled graph Remember, you can type in your answer and work or you can take a picture of it and upload the image. Edit View Insert Format Tools Table

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Problem 30756

$\text{Find the slope of the line that passes through each set of points: } (4, 4) \text{ and } (6, 6). \text{ Find the answer below and decorate the stocking with the features listed.}$

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Problem 30757

As a town gets smaller, the population of its high school decreases by $7 \%$ each year. The senior class has 320 students now. In how many years will it have about 100 students? Write an equation. Then solve the equation.
Write an equation to represent this situation. Let $t$ be the number of years before the class will have 100 students. $\square$ (Type an equation using $t$ as the variable. Use integers or decimals for any numbers in the equation.) Solve the equation. $\ln t=$ $\square$ years the senior class will have about 100 students. (Type an integer or decimal rounded to the nearest hundredth as needed.)

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Problem 30758

Given $x>0$ and $y>0$ , select the expression that is equivalent to $\sqrt[4]{256 x^{16} y^{6}}$

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Problem 30759

Graph the function. $f(x)=\sqrt{x}-7$

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Problem 30760

Problem 6 Sothy plans to walk 10000 steps.
He starts his walk at 8:00 AM.
At 8:23 AM, his phone tells him that he has taken 2000 steps.
If he continues at this rate, when will he reach 10000 steps? Submit

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Problem 30761

Simplify each expression $(9 x+7)\left(-5 x^{4}-x^{3}\right)$

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Problem 30762

6. $a^{5}\left(-9 a^{4}-9 a^{3}+4 a^{2}\right)$

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Problem 30763

9. $6 x+8=50$

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Problem 30764

11. $13=-4 k+9$

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Problem 30765

Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function? $y=9 x^{2}-9 x+20$ A. both a relation and a function B. function only C. relation only D. neither a relation nor a function

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Problem 30766

4. $x^{2}-16=0$

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Problem 30767

Solve the Inequality. $y+7<-6$
The inequality is $\square$

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Problem 30768

$\left(\frac{1-\sqrt{5}}{2}\right)^{12}$

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Problem 30769

$\left(2 g^{3}+g^{2}\right)\left(4 g^{3}-7 g^{2}-3 g\right)$

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Problem 30770

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through $(8,-1)$ and perpendicular to the line whose equation is $x-7 y-9=0$

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Problem 30771

[4] If $A^{-1}=\left[\begin{array}{cc}3 & 2 \\ -1 & 1\end{array}\right]$ and $B^{-1}=\left[\begin{array}{cc}1 & -1 \\ -3 & 4\end{array}\right]$ , and $(A B)^{-1}=\left[\begin{array}{ll}x & z \\ y & h\end{array}\right]$ , then $x+y+z+h$ a) -10 b) 3 c) 8 d) 20 [5] If $\left|\begin{array}{cccc}a & b & c & d \\ e & f & g & h \\ i & j & k & l \\ m & n & o & p\end{array}\right|=-3$ , then $\operatorname{det}\left(2\left[\begin{array}{cccc}a & b & c & d \\ e & f & g & h \\ i & j & k & l \\ m & n & o & p\end{array}\right]\right)=$ a) -6 b) -48 c) -12 d) -32 [6] The linear system given by $A X=B$ where $A$ is $2 \times 2$ square matrix, $A_{x}=\left[\begin{array}{cc}2 & -1 \\ 6 & 1\end{array}\right]$ and $A_{y}=\left[\begin{array}{ll}3 & 2 \\ 1 & 6\end{array}\right]$ , then $X=$ a) $\left[\begin{array}{l}2 \\ 4\end{array}\right]$ b) $\left[\begin{array}{c}-2 \\ 4\end{array}\right]$ c) $\left[\begin{array}{l}4 \\ 2\end{array}\right]$ d) $\left[\begin{array}{l}-4 \\ -2\end{array}\right]$
Q2: Write (T) for the correct statement and (F) for the false one [1] $\qquad$ If $|A|=\left|A^{-1}\right|$ then $|A|$ must equal to 1. [2] $\qquad$ If $A=[-\sqrt{2}]$ then $A^{-1}=\left[-\frac{\sqrt{2}}{2}\right]$ [3] $\qquad$ $3 A^{\mathrm{T}} A$ is a symmetric matrix. [4] $\qquad$ The matrix $A=\left[\begin{array}{cccc}1 & 5 & -3 & 0 \\ 0 & -2 & 0 & 8 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & 2\end{array}\right]$ is singular.

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Problem 30772

8.1 .00 9.1 .00 10.1 .00 11.1 .00 12.1 .00 13.1 .00 14.1 .00

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Problem 30773

Condense each expression to a single logarithm. 19) $\log _{3} x-\log _{3} y$ 20) $\log _{8} a+\log _{8} b$ 21) $\frac{\log _{2} u}{3}$ 22) $2 \log _{3} 12$ 23) $\log _{5} 8+\log _{5} 7$ 24) $\log _{2} 10-\log _{2} 3$ 25) $4 \log x$ 26) $\frac{\log _{5} x}{2}$

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Problem 30774

Joanna has a total of 50 coins in her purse. • The coins are either nickels or quarters. ■ The total value of the coins is $7.10. Which system of equations can be used to determine the number of nickels, n, and quarters, q, that Joanna has in her purse? O n+q= 50 0.05n+ 0.25q = 7.10 n+q=7.10 50n+50q = 7.10 0.05n+ 0.25q = 50 n+q= 7.10 0.05n+ 0.25q = 7.10 50n+ 50q = 7.10

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Problem 30775

Rational Functions, Equations, and Inequalities
NAME $\qquad$ Williams 0.
DATE : 181 1212024 $\qquad$ K $1 / 16$ T 15 c 14 A 112 1) For each function, identify the location of the hole (if applicable), the equation(s) of the vertical asymptote(s) and the equation of the horizontal asymptote. (a) $f(x)=\frac{x+1}{x^{2}+x}$ (b) $g(x)=\frac{x^{2}+4 x+4}{x^{2}-4}$ [K-6]

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Problem 30776

Use the square root property to solve the Quadratic Equation. $2(x-4)^{2}=200$

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Problem 30777

6) Explain how a quadratic function and its reciprocal function are related with regards to positive and negative intervals. Use an example with your explanation.

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Problem 30778

7) A biologist predicted that the population of tadpoles in a pond could be modelled by the function $f(x)=\frac{40 x}{x+7}$ , where x is given in days and $0 \leq x \leq 10$ . The function that actually models the tadpole population is $g(x)=\frac{80}{(x+7)(x+1)}$ for $0 \leq x \leq 10$ . Determine when $\mathrm{f}(\mathrm{x}) \geq \mathrm{g}(\mathrm{x})$ .

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Problem 30779

Use the Box Method to Simplify the following: $(x+3)(x-2)$

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Problem 30780

2 correct factorization of $x^{2}-2 x-15 z$ a $(x+5)(x-3)$ b $(x+5) \quad(x+3)$ $c(x-5)(x-3)$ $d(x-5)(x+3)$

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Problem 30781

Given two points, $(3,3)$ and $(1,-3)$ , write the equation of the line passing through these points.

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Problem 30782

$\sqrt{3} \cdot \sqrt{5}$

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Problem 30783

5. $\begin{aligned} y & =-2 x+2 \\ & y=7 x+11\end{aligned}$

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Problem 30784

Mitosis is a process of cell reproduction in which one cell divides into two identical cells. $E$ , coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes. If you begir with 100 E. coli bacteria, how many will there be in 1 hour? a. 1200 bacteria c. 1500 bacteriá b. 1400 bacteria d. 1600 bacteria
Please select the best answer from the choices provided A B C D

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Problem 30785

Exercice 4 Soit la suite $\left(U_{n}\right)$ définiepar $\left\{\begin{array}{c}U_{0}=\frac{2}{3} \\ U_{n+1}=\frac{1}{2} U_{n}+\frac{n}{2 \sqrt{2}}+\frac{1}{\sqrt{2}}\end{array}\right.$
1. Calculer $U_{1}, U_{2}$ et $U_{3}$
2. On pose: $\forall n \geq 0 \quad V_{n}=U_{n} \sqrt{2}-n$ . a. Calculer $V_{0}, V_{1}$ et $V_{2}$ b. Montrer que $\left(V_{n}\right)$ est une suite géométrique c. Exprimer $\boldsymbol{V}_{\boldsymbol{n}}$ puis $\boldsymbol{U}_{\boldsymbol{n}}$ en fonction de $\boldsymbol{n}$ d. Calculer en fonction de $n: S_{n}=\sum_{k=0}^{k=n} v_{k}$

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Problem 30786

A. B. C. $x \leq-3$ and $x \geq 5$ D. $x<-3$ and $x>5$ F. $(-\infty,-3] \cup[5, \infty)$ E. $\mathbb{R}$ G. $(-\infty,-3) \cup(5, \infty)$ H. All real numbers I. No solutions
The questions in this level are taken directly from the Units 3 and 4 Review in "Activity: Review by Unit." Only proceed if you have completed that section of the activity.
Solve the compound inequality $4 x+1 \leq-11$ and $-3 x+1<-14$ . Which of the options shown accurately represent(s) the solutions?

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Problem 30787

15. [Maximum mark: 6] [without GDC]
The function $f$ is given by $f(x)=\sqrt{x-4}+\frac{2}{x-5}+\log (10-x)$ . Find the largest possible domain of the function.

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Problem 30788

How many solutions does the equation have? $|y|-8=6$ no solution one solution two solutions Submit

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Problem 30789

Mrito vour answers without exponents. $8^{-\frac{2}{3}}=\square$ $(45-25)_{2}^{3}=4$

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Problem 30790

$3 x^{2}=5-4 x$

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Problem 30791

ber line represents the solution to the absolute value inequality $|2 x|+6 \geq 16$ ? $\begin{array}{lllll:llllllllllllllll} \\ -10 & -9 & -8 & -7 & -6 & -5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10\end{array}$ -10

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Problem 30792

$\text{Sketch the graph of } y = \log_5 x.$

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Problem 30793

Factor. $2 y^{2}-7 y-15$

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Problem 30794

Question A roclangular photograph that is 5 inches wide and 7 inches long is enlarged to produce a photograph is 12 inchos wide. If the enlarged photograph is in proportion to the original, what is the length, in inche the enlarged pholograph? $\frac{35}{12}$ $\frac{84}{5}$ 8 12 Type here to search

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Problem 30795

2. Calcule o aumento da pressão necessário, para que um volume inicial de 5000 litros de água se rẹduza a 4900 litros $\left(\varepsilon=20.10^{8} \mathrm{~N} / \mathrm{m}^{2}\right.$ . (4 valores).

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Problem 30796

Question $2 x^{2}+5 x-3=$ $(2 x-3)(x+1)$ $(2 x+3)(x-1)$ $(2 x-1)(x+3)$ $(2 x+1)(x-3)$ Type here to search

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Problem 30797

DPS Name: The solutions to the equation $3 x^{2}-4 x+2=2 x-3$ are $1 \frac{2}{3} \pm \frac{\sqrt{2}}{3} i$ $21 \pm \frac{\sqrt{6}}{3} i$ $31 \pm \frac{\sqrt{12}}{3}$ $41 \pm 2 \sqrt{6} i$
From the reference sheet: $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

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Problem 30798

10. Which function is an even function? $\begin{array}{l} y=2 x^{4}+3 x^{2}+4 x \\ y=4 x+2 \end{array}$ 3) $y=3 x^{4}+5 x^{2}+$ 4) $y=6 x^{8}+4 x$

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Problem 30799

5. Which equation is linear?
4. $x y=60$ b. $3 x-2 y=5$ $2 y-x^{2}-3 x+1$
16. State whether each graph has line symmetry any lines of symmetry of points of symmetry. a. point symmetry; $(0,0)$ coint symmetry; $(-2$ , b. (ine symertry; $x=-2$ a. line symmetry; $y=1$

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Problem 30800

A car accelerates from rest at $4.4 \mathrm{~m} / \mathrm{s}^{2}$ . How much time does it need to attain a speed of $5 \mathrm{~m} / \mathrm{s}$ ?
Answer in units of s. Answer in units of s.

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Algebra

Problem 30701

Find the values that make the expression 3y−5y2−36\frac{3 y-5}{y^{2}-36}y2−363y−5​ undefined. Choose from: A. y=6,y=−6y=6, y=-6y=6,y=−6 B. y=36y=36y=36 C. y=6y=6y=6 D. y=53y=\frac{5}{3}y=35​

Problem 30702

The Lopez family drove 210 miles to Nashville and 390 miles total. Find the distance to Knoxville and the property of equality used.

Problem 30703

A car on a 2.6∘2.6^{\circ}2.6∘ uphill grade has a resistance of 112lb112 \mathrm{lb}112lb. Find the car's weight to the nearest hundred pounds.

Problem 30704

Simplify the expression: 18k36k\frac{18 k^{3}}{6 k}6k18k3​. What is the result? A. 3k23 k^{2}3k2 B. 12k212 k^{2}12k2 C. 12 D. 3k3 k3k

Problem 30705

Problem 30706

Simplify the expression: a2−ab+9a−9ba+9\frac{a^{2}-ab+9a-9b}{a+9}a+9a2−ab+9a−9b​. Use grouping to factor the numerator.

Problem 30707

Graph the inequality x≤−1x \leq -1x≤−1 or x>2x > 2x>2 on a number line.

Problem 30708

Simplify the expression: −10x−10yx+y\frac{-10 x-10 y}{x+y}x+y−10x−10y​. Choose the correct option: A. 110\frac{1}{10}101​ B. -10 C. −110-\frac{1}{10}−101​ D. 10

Problem 30709

What grade does Jenny need on her third History test to average 80 if she scored 70 on the first two tests?

Problem 30710

Find xxx for the function f(x)=9exex−2f(x)=\frac{9 e^{x}}{e^{x}-2}f(x)=ex−29ex​ where ex−2=0e^{x}-2=0ex−2=0.

Problem 30711

Simplify the expression: 3x−3y3y−3x\frac{3 x-3 y}{3 y-3 x}3y−3x3x−3y​. Choose A. 1, B. -3, C. 3, or D. -1.

Problem 30712

Simplify the product: x2+x2⋅8x+1\frac{x^{2}+x}{2} \cdot \frac{8}{x+1}2x2+x​⋅x+18​. Select the correct answer.

Problem 30713

Find the product and simplify: z340z⋅52z2\frac{z^{3}}{40 z} \cdot \frac{5}{2 z^{2}}40zz3​⋅2z25​. Options: A. 116z\frac{1}{16 z}16z1​ B. z16\frac{z}{16}16z​ C. 116\frac{1}{16}161​ D. z316z2\frac{z^{3}}{16 z^{2}}16z2z3​

Problem 30714

Find the slope of the line given by the equation 12x−3y=−2112 x - 3 y = -2112x−3y=−21.

Problem 30715

Find the xxx-intercept and yyy-intercept of the line −x+2y=2-x + 2y = 2−x+2y=2. xxx-intercept: 2, yyy-intercept: ?

Problem 30716

Find the distance from the zero at 4 to the line of symmetry at x=−3x=-3x=−3, and determine the other zero of the quadratic function.

Problem 30717

Find the slope-intercept form of a line with xxx-intercept =7=7=7 and yyy-intercept =2=2=2.

Problem 30718

Problem 30719

Jeremy walked 14\frac{1}{4}41​ of the way to school (1.5 miles). How far did he ride with his friend?

Problem 30720

Find the quotient and simplify: (y−4)2/5÷(5y−20)/25(y-4)^{2}/5 \div (5y-20)/25(y−4)2/5÷(5y−20)/25. Select one: A, B, C, or D.

Problem 30721

A car moves at 41 m/s using 756 J/s. How far does it travel using 52,700 J? Calculate the distance.

Problem 30722

To eliminate xxx in the system below, if you multiply the first equation by 8, what should you multiply the second by?−6x+8y=−5−8x−13y=0 \begin{array}{l} -6 x+8 y=-5 \\ -8 x-13 y=0 \end{array} −6x+8y=−5−8x−13y=0​

Problem 30723

Find the yyy-intercept and xxx-intercept of the line: 5x−6y=305x - 6y = 305x−6y=30. What are the intercepts?

Problem 30724

Find the solutions for x2=81x^{2}=81x2=81 using factoring methods.

Problem 30725

Solve the compound inequality: 3(z−1)≥−33(z-1) \geq -33(z−1)≥−3 or 7−z≤97-z \leq 97−z≤9. Provide the solution set in interval notation.

Problem 30726

Find the new function after a horizontal shrink by 1/31 / 31/3 applied to f(x)=∣x−1∣+3f(x)=|x-1|+3f(x)=∣x−1∣+3.

Problem 30727

Add and simplify: 211+x+x+611+x\frac{2}{11+x}+\frac{x+6}{11+x}11+x2​+11+xx+6​. Choose the correct answer from the options given.

Problem 30728

Problem 30729

Which xxx-value is a solution to −6x+8<−16?-6 x+8<-16 ?−6x+8<−16?

Problem 30730

y=5−x5D:≤x≤R:≤y≤\begin{aligned} y & = 5 - \frac{x}{5} \\ D: & \leq x \leq \\ R: & \leq y \leq \end{aligned}yD:R:​=5−5x​≤x≤≤y≤​

Problem 30731

Problem 30732

Problem 30733

Find the vertex, axis of symmetry (AOS), domain, range, and transformations of the function f(x)=3∣x−2∣ f(x) = 3|x-2| f(x)=3∣x−2∣.

Problem 30734

3x⋅3x2−2x⋅x2/33x2\frac{\sqrt{3 x} \cdot 3 x}{2}-\frac{2 x \cdot x^{2 / 3 \sqrt{3} x}}{2}23x​⋅3x​−22x⋅x2/33​x​

Problem 30735

Temukan nilai eigen dan vektor eigen dan matriks A -3 3 3-5 3 6-64

Problem 30736

1. Temukan nilai eigen dan vektor eigen dari matriks A=[1−333−536−64]A=\left[\begin{array}{ccc}1 & -3 & 3 \\ 3 & -5 & 3 \\ 6 & -6 & 4\end{array}\right]A=⎣⎡​136​−3−5−6​334​⎦⎤​

Problem 30737

Problem 30738

Sale! 75\% OFF of the original price! Video (b) Questions answered 13 Time elapsecThe sale price of a computer keyboard is $9\$ 9$9. What was the original price? 00 10 HR MIN \ \square$ Smarts out of 1 Submit

Problem 30739

QUESTION 2 Multiply and simplify completely. (2−6)(4+6)(2-\sqrt{6})(4+\sqrt{6})(2−6​)(4+6​) □\square□

Problem 30740

Problem 30741

A bike store sells scooters at a 54\% markup. If the store bought each scooter for $29.95\$ 29.95$29.95, what is the selling price to the nearest dollar?

Problem 30742

Simpliby mo expression x4y3⋅x2y8x^{4} y^{3} \cdot x^{2} y^{8}x4y3⋅x2y8

Problem 30743

RadicalsUse the product rule to simplify the radical. 5454=□\begin{array}{c} \sqrt{54} \\ \sqrt{54}=\square \end{array}54​54​=□​ □\square□ (Simplify your answer. Type an exact answer, using radicals as needed.)

Find the values that make the expression $\frac{3 y-5}{y^{2}-36}$ undefined. Choose from: A. $y=6, y=-6$ B. $y=36$ C. $y=6$ D. $y=\frac{5}{3}$

A car on a $2.6^{\circ}$ uphill grade has a resistance of $112 \mathrm{lb}$ . Find the car's weight to the nearest hundred pounds.

Simplify the expression: $\frac{18 k^{3}}{6 k}$ . What is the result? A. $3 k^{2}$ B. $12 k^{2}$ C. 12 D. $3 k$

Simplify the expression: $\frac{a^{2}-ab+9a-9b}{a+9}$ . Use grouping to factor the numerator.

Graph the inequality $x \leq -1$ or $x > 2$ on a number line.

Simplify the expression: $\frac{-10 x-10 y}{x+y}$ . Choose the correct option: A. $\frac{1}{10}$ B. -10 C. $-\frac{1}{10}$ D. 10

Find $x$ for the function $f(x)=\frac{9 e^{x}}{e^{x}-2}$ where $e^{x}-2=0$ .

Simplify the expression: $\frac{3 x-3 y}{3 y-3 x}$ . Choose A. 1, B. -3, C. 3, or D. -1.

Simplify the product: $\frac{x^{2}+x}{2} \cdot \frac{8}{x+1}$ . Select the correct answer.

Find the product and simplify: $\frac{z^{3}}{40 z} \cdot \frac{5}{2 z^{2}}$ . Options: A. $\frac{1}{16 z}$ B. $\frac{z}{16}$ C. $\frac{1}{16}$ D. $\frac{z^{3}}{16 z^{2}}$

Find the slope of the line given by the equation $12 x - 3 y = -21$ .

Find the $x$ -intercept and $y$ -intercept of the line $-x + 2y = 2$ . $x$ -intercept: 2, $y$ -intercept: ?

Find the distance from the zero at 4 to the line of symmetry at $x=-3$ , and determine the other zero of the quadratic function.

Find the slope-intercept form of a line with $x$ -intercept $=7$ and $y$ -intercept $=2$ .

Jeremy walked $\frac{1}{4}$ of the way to school (1.5 miles). How far did he ride with his friend?

Find the quotient and simplify: $(y-4)^{2}/5 \div (5y-20)/25$ . Select one: A, B, C, or D.

To eliminate $x$ in the system below, if you multiply the first equation by 8, what should you multiply the second by?
$\begin{array}{l} -6 x+8 y=-5 \\ -8 x-13 y=0 \end{array}$

Find the $y$ -intercept and $x$ -intercept of the line: $5x - 6y = 30$ . What are the intercepts?

Find the solutions for $x^{2}=81$ using factoring methods.

Solve the compound inequality: $3(z-1) \geq -3$ or $7-z \leq 9$ . Provide the solution set in interval notation.

Find the new function after a horizontal shrink by $1 / 3$ applied to $f(x)=|x-1|+3$ .

Add and simplify: $\frac{2}{11+x}+\frac{x+6}{11+x}$ . Choose the correct answer from the options given.

Which $x$ -value is a solution to $-6 x+8<-16 ?$

$\begin{aligned} y & = 5 - \frac{x}{5} \\ D: & \leq x \leq \\ R: & \leq y \leq \end{aligned}$

Find the vertex, axis of symmetry (AOS), domain, range, and transformations of the function $f(x) = 3|x-2|$ .

$\frac{\sqrt{3 x} \cdot 3 x}{2}-\frac{2 x \cdot x^{2 / 3 \sqrt{3} x}}{2}$

1. Temukan nilai eigen dan vektor eigen dari matriks $A=\left[\begin{array}{ccc}1 & -3 & 3 \\ 3 & -5 & 3 \\ 6 & -6 & 4\end{array}\right]$

Sale! 75\% OFF of the original price! Video (b) Questions answered 13 Time elapsec
The sale price of a computer keyboard is $\$ 9$ . What was the original price? 00 10 HR MIN \\square$ Smarts out of 1 Submit

QUESTION 2 Multiply and simplify completely. $(2-\sqrt{6})(4+\sqrt{6})$ $\square$

A bike store sells scooters at a 54\% markup. If the store bought each scooter for $\$ 29.95$ , what is the selling price to the nearest dollar?

Simpliby mo expression $x^{4} y^{3} \cdot x^{2} y^{8}$

Radicals
Use the product rule to simplify the radical. $\begin{array}{c} \sqrt{54} \\ \sqrt{54}=\square \end{array}$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

d) $210=40(1.5)^{x}$

18. Solve the following inequality algebraically $|2 x-6|<7$

$3(x+2)=21$

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your onswer. How could you correctly rewrite the equation $4(5+3)=2(22-6)$ using the distributive property? $20+12=44-12$

Solve for $a$ . Express your answer in simplest radical form if necessary. $a^{3}=78$
Answer Attempt 1 out of 2

(4) What is $x$ ?
$x^{2}=169$ $\square$ $\begin{array}{l} x=-84.5 \\ x=-16 \end{array}$ $\qquad$ $\begin{array}{l} \hat{x}=-16 \\ x=-13 \end{array}$ $\square$ $x=13$
$x=16$ $\qquad$ $x=84.5$

$\begin{array}{l}6(w+1)-3 w=3(w+4 \\ 2(3 a-1)=4 a+10 \\ 7 b-3(b+2)=4 b-11 \\ 5(c-2)+3 c=4(2 c+1\end{array}$

Given $x>0$ and $y>0$ , select the expression that is equivalent to $\sqrt[4]{256 x^{16} y^{6}}$

Graph the function. $f(x)=\sqrt{x}-7$

Problem 6 Sothy plans to walk 10000 steps.
He starts his walk at 8:00 AM.
At 8:23 AM, his phone tells him that he has taken 2000 steps.
If he continues at this rate, when will he reach 10000 steps? Submit

Simplify each expression $(9 x+7)\left(-5 x^{4}-x^{3}\right)$

6. $a^{5}\left(-9 a^{4}-9 a^{3}+4 a^{2}\right)$

9. $6 x+8=50$

11. $13=-4 k+9$

Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function? $y=9 x^{2}-9 x+20$ A. both a relation and a function B. function only C. relation only D. neither a relation nor a function

4. $x^{2}-16=0$

Solve the Inequality. $y+7<-6$
The inequality is $\square$

$\left(\frac{1-\sqrt{5}}{2}\right)^{12}$

$\left(2 g^{3}+g^{2}\right)\left(4 g^{3}-7 g^{2}-3 g\right)$

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through $(8,-1)$ and perpendicular to the line whose equation is $x-7 y-9=0$