Browse Algebra problems Studdy Solved!

Problem 28701

Solve the equation $k^{2}-10k-15=-8$ by completing the square. Find the value to add and the equation form $(k-a)^{2}=b$ . List solutions.

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Problem 28702

Use like bases to solve the exponential equation. $9^{(2 x)}=27^{(x+3)}$ $\mathrm{x}=$ $\qquad$ Do not type "x=" $\square$

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Problem 28703

30. Solve: $\frac{x+3}{x^{2}+5 x+6}=\frac{3}{2 x+4}-\frac{1}{x+3}$

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Problem 28704

Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30 -minute class.
If he teaches at the same rate, how many poses will Javier teach in today's class? $\square$ poses

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Problem 28705

32. Write a linear equation that is parallel to $5x + 2y = -8$ and passes through the point $(8, -9)$ . $Y-Y = m(x-x)$
34. Write a linear equation that is perpendicular to $2x - 5y = 5$ and passes through the point $(2, -9)$ . ne $k$ is the perpendicular bisector of $\overline{RS}$ , write a

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Problem 28706

through: $(-1, 4)$ , parallel to $y = -5x + 2$

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Problem 28707

A factory needs to package $2,835$ cartons of orange juice in boxes. How many more small boxes than large boxes are needed to package the cartons of orange juice? $5.\text{NS}0.2.2$
Box Size | Number of Cartons ------- | -------- Small | $15$ Large | $35$

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Problem 28708

5. $\frac{5 i}{-5+7 i}$ simplify

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Problem 28709

2. A store has a $20 \%$ off sale on pants. With this discount, the price of one pair of pants before tax is $\$ 15.20$ . What was the original price of the pente? (A) 3304 (B) $\$ 12.16$ (C) $\$ 18.24$ (C) $\$ 1900$
3. Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is $5 \frac{1}{2} \%$ of the seerigg price a. How much commission will the salesperson earn by selling a couch for \$495? b. How much money will the store get from the sale of the couch?

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Problem 28710

7 Mark for Review
In a semi-log plot, which of the following pairs of functions appear linear as parallel lines?
A $f(x)=2 x$ and $g(x)=2 x+3$ (B) $f(x)=x^{2}$ and $g(x)=3 x^{2}$ C.) $f(x)=2^{x}$ and $g(x)=3 \cdot 2^{x}$ (D) $f(x)=\ln (2 x)$ and $g(x)=3 \ln (2 x)$

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Problem 28711

3. Show that the lines $x - 2y + 1 = 0$ and $3x - 6y - 7 = 0$ are parallel.
What is the slope of any line perpendicular to these lines?

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Problem 28712

16. It costs the theater \$750 to put on each performance. If tickets are \$8 each, how many tickets must they sell for their next performance to profit at least \$1,200?
$\ge$ 1260

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Problem 28713

Solve. Round your answers to three decimal places. a) $5^{x-1} = 3.92$ b) $x = \log_3{25}$ c) $4^{2x} = 5^{2x-1}$ d) $x = \log_2{53.2}$

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Problem 28714

3. Solve the following system of equations using elimination and write the solution as a coordinate pair:
$-4x - 2y = 14$ $-10x + 7y = -25$

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Problem 28715

points. How many points did each friend earn?
4. Kyle sells used cars. He is paid $\$ 14 /$ hour plus an $8 \%$ commission on sales ( $\$ 0.08$ per $\$ 1$ earned). What dollar amount of car sales must Kyle make to earn $\$ 1200$ in a 38-h work week?
5. One summer, Brittany had a paper route and a babysitting job. She made twice as much money babysitting as she did delivering papers. Altogether she made $\$ 900$ that summer. How much did s earn doing each job?
6. Chantal works at a clothing store. She earns $\$ 15$ per hour plus $\$ 0.05$ for each piece of clothing s sells. a) Write an equation to represent Chantal's total earnings. b) Find Chantal's earnings if she sells 25 pieces of clothing during a 4 hour shift. c) Tonight Chantal is working a 5 hour shift. How many pieces of clothing must Chantal sell to e \$76.55?

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Problem 28716

$2^{3 x-10}=4$

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Problem 28717

$(4 x+2)^{5}, 5^{\text {th }}$ term

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Problem 28718

$\text{Write a formula for the general term (the nth term) of the arithmetic sequence } 5, 2, -1, -4. \text{ Then use the formula for } a_n \text{ to find } a_{20}.$

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Problem 28719

Solve for $h$ in the literal equation: $A = \frac{1}{2}(b_1 + b_2)h$
$h = 2A(b_1 + b_2)$
$h = \frac{b_1 + b_2}{2A}$
$h = \frac{2A}{b_1 + b_2}$
$h = \frac{A}{2(b_1 + b_2)}$

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Problem 28720

Find the difference quotient $\frac{f(x+h)-f(x)}{h}$ , where $h \neq 0$ , $f(x)=8 x-2$
Simplify your answer as much as possible. $\frac{f(x+h)-f(x)}{h}=$

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Problem 28721

simplify. $(x+32)+18$

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Problem 28722

Simplify $(x^4 y^{\frac{4}{3}})^3$
$x^7 y^3$ $x^7 y^4$ $x^7 y^{\frac{13}{3}}$ $x^{12} y^3$ $x^{12} y^4$ $x^{12} y^{12}$

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Problem 28723

Read the description of a proportional relationship.
Choc-Arcade has Gina's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Gina with free game tokens every time she buys chocolates. There is a proportional relationship between the number of chocolates Gina buys, $x$ , and the number of free game tokens she gets, $y$ .
The equation that models this relationship is $y = 4x$ .
How many free game tokens does Gina get if she buys 3 chocolates? Write your answer as a whole number or decimal.
tokens

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Problem 28724

A client asked Brody to design a rectangular garden with an area of 38 square feet. Area of a rectangle is its length times its width.
The client also requested that the length of the garden be two feet less than seven times the width. Find the length and width of the garden. Round your answers to three decimal places. The length of the garden should be $\square$ feet, and the width should be $\square$ feet.

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Problem 28725

Solve for all values of $x$ by factoring.
$x^2 - 2x = 0$

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Problem 28726

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. $x^{2}-8 x+16<0$
Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) B. The solution set is the empty set.
Choose the correct graph below. A. C. E. B. D. F.

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Problem 28727

A blogger earns $R(x)=9 x+0.029 x^{2}$ in revenue, where $x$ is the number of subscribers, and has a cost of $C(x)=2000+8 x$ .
Let $P(x)$ be the profit when there are $x$ subsribers. Write a function giving the blogger's profit when there are $x$ subscribers. $P(x)=$ $\square$
The blogger needs at least $\square$ subscribers to break even.

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Problem 28728

Monomials
15. Simplify. $\frac{5m^7p^3 \times 2m^2p^4}{10m^3p^5}$

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Problem 28729

$x^2 - 23x + 44 = -5x + 5$

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Problem 28730

5. The Seesaw Valley basketball team did not record how many baskets each player made, but Jenny remembers that she made three times as many baskets as Gracie. Alexis knows that she made six more baskets than Gracie. Joan thinks that she made 4 fewer baskets than Gracie. Tammy is sure that she made the same number of baskets as Joan. Altogether the five player made 40 baskets. How many baskets did each player make?

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Problem 28731

Question Watch Video Show Examples
Paisley's cab company charges a one-time pickup fee of $\$ 3$ for every ride, as well as a $\$ 3$ charge for each mile traveled. Find the rate of change.
Answer Attemptiout of 4 \\square$ per mile Submit Answer

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Problem 28732

What mass of NaCl are dissolved in 152 mL of a solution if the concentration of the solution is $0.364$ M? $3.24$ g of NaCl will be required

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Problem 28733

12) $3 x^{2}=12+9 x$

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Problem 28734

Approximate each number using a calculator. (a) $2.7^{3.1}$ (b) $2.71^{3.14}$ (c) $2.718^{3.141}$ (d) $e^\pi$
(a) $2.7^{3.1} \approx$ (Round to three decimal places as needed.)

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Problem 28735

$(5,8)$ and $(7,1)$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is $m =$ \_\_\_\_\_\_\_\_. (Type an integer or a simplified fraction.) B. The slope is undefined.
Is the line increasing, decreasing, horizontal, or vertical? A. horizontal B. increasing C. vertical D. decreasing

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Problem 28736

This test: 34 point(s This question: 1 p
Solve the radical equation. Check all proposed solutions. $\sqrt{3-2 x}=x$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ (Simplify your answer. Use a comma to separate anewers as needed.) B. The solution set is the empty set.

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Problem 28737

Subtract the matrices. $\begin{bmatrix} 8 & 2 & -8 \\ -9 & -8 & 4 \\ 9 & 9 & -2 \end{bmatrix} - \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & 5 \\ 2 & 1 & -1 \end{bmatrix}$

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Problem 28738

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Click twice to plot each segment. Click a segment to delete it.

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Problem 28739

2. ¿Cuántas soluciones tiene el sistema de ecuaciones? A Sin solución C Exactamente dos soluciones B Exactamente una solución D Un número infinito de soluciones

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Problem 28740

In the Initial state, Ball 1 and Ball 2 approach each other with velocities shown in the figure; the velocity vectors are not drawn to scale. In the Final state after the collision, they have final velocities and deflection angles as shown. The collision is inelastic, and the system kinetic energy lost is $K$ . In the math expressions below, all "v" terms should be considered as speeds, and $\theta$ or $\phi$ as positive angles. Which one of the following equations is false?
Initial
$m_1$ $V_1$ $V_2$ $m_2$
Final
$m_1$ $V_{1f}$ $\theta$ $\phi$ $V_{2f}$ $m_2$
$\frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2 = \frac{1}{2}m_1v_{1f}^2 + \frac{1}{2}m_2v_{2f}^2 + K$
$m_1v_1 = -m_1v_{1f}\cos(\theta)$
$m_1v_{1f}\sin(\theta) - m_2v_{2f}\sin(\phi) = 0$
$m_1v_1 - m_2v_2 = -m_1v_{1f}\cos(\theta) - m_2v_{2f}\cos(\phi)$
$m_1v_1 < m_2v_2$
1 pts

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Problem 28741

2. Factor $x^{5}-1=$

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Problem 28742

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an $(x, y)$ point. $y=2 x^{2}+4$

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Problem 28743

kam Question 12 of 22
This test: 22 point(s) possible This question: 1 point(s) possible Submit test
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 4 hours, while the outlet pipe can empty it in 10 hours. How long will it take to fill the vat if both pipes are left open?
It will take $\square$ hours. (Simplify yournanswer. Do not round.)

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Problem 28744

Given the following graph of polynomial, a peer came up with the equation $p(x)=(x+1)(x+3)(x-2)$
The end behavior doesn't match the graph of the function, below. - Find the error(s) in your peer's work and explain to them in words how they would correct it. - Find the correct equation that matches the graph below.

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Problem 28745

Use transformations of the graph of $\mathrm{f}(\mathrm{x})=e^{\mathrm{x}}$ to graph the given function. Be sure to give the equation of the asymptote. Use the graph to determine the function's domain and range. $g(x)=\frac{1}{4} e^{x}$

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Problem 28746

$2 x^{2}+4 x=2$

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Problem 28747

Add and simplify: $\frac{2}{x+9} + \frac{x+45}{x^2 - 81}$

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Problem 28748

A container of fuel dispenses fuel at the rate of 5 gallons per second. If $y$ represents the amount of fuel remaining in the container, and $x$ represents the number of seconds that have passed since the fuel started dispensing, then $x$ and $y$ satisfy a linear relationship. Complete the statement about the slope of the line representing that relationship in the coordinate plane.
The slope will be $\square$ because the amount of fuel in the tank is $\square$ Select Choice (Lesson 3-10)

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Problem 28749

Algebra I-Study Guide
5. When dividing monomials, the quotient will go on the same side of the division or fraction line as the monomial with the larger exponent.
6. You can add like square roots.
7. You can add unlike square roots.
8. You can multiply or divide like square roots.
9. You can multiply or divide unlike square roots.
10. The Greek letter $\pi$ is pronounced like "pie."
11. Another way of saying that monomials can be added or subtracted is to say they can be combined.
12. The Subtraction Property of Regrouping is useful when dividing monomials.
13. When adding monomials, both the coefficients and exponents are added.
14. If no number is indicated as a coefficient or exponent to a variable, the number 1 is understood to be there.
15. When multiplying two different variables, both the coefficient and exponent are multiplied. T

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Problem 28750

Question
Simplify: $(4 c)^{2}$
Answer Attempt 1 out of 2

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Problem 28751

(Round to the nearest cent.) Peter deposited \$55,814 into an account that has an APR of $9\frac{1}{2}\%$ compounded quarterly. How much money will be in Peters account in nine and a half years? The account balance is approximately \$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ (Round to the nearest cent.)

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Problem 28752

$\frac{P\left(\frac{r}{n}\right)}{\left.1-\left(1+\frac{r}{n}\right)^{-n t}\right]} \text { to }$
Use PMT $=\frac{\left[1-\left(1+\frac{r}{n}\right)^{-n t}\right]}{[t o}$ determine the regular payment amount, rounded to the nearest dollar. The price of a small cabin is $\$ 40,000$ . The bank requires $5.5 \%$ down payment. The buyer is offered two mortgage options: 20 -year fixed at $8 \%$ or 30 -year fixed at $8 \%$ . Calculate the amount of interest paid for each opion. How much does the buyer save in interest with the 20-year option?
Find the monthly payment for the 20 -year option. \\square$ (Round to the nearest dollar as needed.)

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Problem 28753

press the following fraction in simplest form, only using positive exponents. $\frac{\left(2 u^{-5}\right)^{-1}}{6 b^{3}}$
Answer Altempt 1 out of 2 $\square$ Submit Answer

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Problem 28754

Solve the following equation for $B$ . Be sure to take into account whether a letter is capitalized or not. $\frac{B}{5 H}=F+G$

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Problem 28755

$\mathrm{A} = \frac{\mathrm{r}}{2 \mathrm{~L}}$ Solve for $L$ .

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Problem 28756

The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of $9.3 \mathrm{~mm}^{2}$ and an observed doubling time of 4 days. (a) Let $t$ be the time (in days) passed, and let $y$ be the area of the sample at time $t$ .
Write a formula relating $y$ to $t$ . Use exact expressions to fill in the missing parts of the formula. Do not use approximations. $y=\square e^{(\mathbb{D I D}) t}$ (b) What will the area of the sample be in 23 days?
Do not round any intermediate computations, and round your answer to the nearest tenth. $\square \mathrm{mm}^{2}$

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Problem 28757

Quiz 9: 6.1, 6.3 and 6.5 Question 8 of 8 (1 point) | Question Attempt: 1 of 1 Time Remaining: $38: 27$ Antonina
Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions. $\begin{array}{l} 9 x-4 y=-16 \\ 8 x-3 y=-19 \end{array}$
Part: $0 / 2$
Part 1 of 2
Evaluate the determinants $D, D_{v}$ , and $D_{v}$ .

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Problem 28758

The expression $11+x+3$ can be rewritten as the equivalent expression $x+11+3$ using which of the following properties? (1) the commutative property of addition (2) the associative property of addition (3) the distributive property (4) the identity property of multiplication

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Problem 28759

$M(t) = 0.303t + 23.86$ $F(t) = 0.545t + 17.23$

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Problem 28760

Simplify the complex rational expression using either Method I or Method II. $\frac{\frac{y}{2} - \frac{2}{y}}{\frac{2}{y^2} - \frac{1}{2}} = \text{?}$

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Problem 28761

10. Escoge el enunciado que describa correctamente la cantidad de soluciones que hay para este sistema de ecuaciones.
Ⓐ Un número infinito de soluciones, porque las pendientes son iguales y los interceptos en $y$ son iguales.
Ⓑ Exactamente una solución, porque las pendientes son iguales, pero los interceptos en $y$ no son iguales.
Ⓒ Sin solución, porque las pendientes son iguales, pero los interceptos en $y$ no son iguales.
Ⓓ Exactamente una solución, porque las pendientes no son iguales, pero los interceptos en $y$ son iguales.

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Problem 28762

The partial fraction decomposition of $\frac{-5 x^{2}+31 x+8}{(x-3)\left(x^{2}+3 x+10\right)}$ can be written in the form of $\frac{f(x)}{(x-3)}+\frac{g(x)}{\left(x^{2}+3 x+10\right)}$ , where $\begin{array}{l} f(x)=\square \\ g(x)=\square \end{array}$

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Problem 28763

$s \geq 22$ $s > 22$ $s < 22$ $s \leq 22$ A book of stamps at the local post office has less than 22 stamps in it. 10/16 Mia 2x

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Problem 28764

Tracy invests $\$5,500$ into an ETF which earns $4\%$ per year. In 30 years, how much will Tracy's investment be worth if interest is compounded quarterly (4 times a year)? Round to the nearest dollar.

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Problem 28765

Question Find the value of $x$ in the equation below.
$x - 14.6 = 6.2$
Answer Attempt 1 out of 3 $x =$ Watch Video

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Problem 28766

To write an exponent, first type the base than type the : followed by the exponent. Example: 2 to the 5 th power would be typed as 205 reminder $x$ is now a variable NOT multiplication you need to use the to show multiplication Write $7 \cdot 7 \cdot 7 \cdot 7 \cdot 5 \cdot 5 \cdot 5$ in exponential form Write your answer as: base exponent"base exponent Submit Question

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Problem 28767

Select the expression from the options below that properly sets up the partial fraction decomposition for the following rational expression: $\frac{x^{3}+15}{x(x-3)^{2}\left(x^{2}+2\right)^{3}}$
Select the correct answer below: $\frac{A}{x}+\frac{B}{x-3}+\frac{C}{x^{2}+2}$ $\frac{A}{x}+\frac{B}{x-3}+\frac{C}{x+2}+\frac{D}{x^{2}+2}+\frac{E}{x^{3}+2}$ $\frac{A}{x}+\frac{B}{x-3}+\frac{C}{x+2}+\frac{D x+E}{x^{2}+2}$ $\frac{A}{x}+\frac{B}{x-3}+\frac{C x+D}{\left(x^{2}+2\right)^{2}}+\frac{E x+F}{\left(x^{2}+2\right)^{3}}$ $\frac{A}{x}+\frac{B}{x-3}+\frac{C x+D}{\left(x^{2}+2\right)}+\frac{E x+F}{\left(x^{2}+2\right)^{2}}+\frac{G x+H}{\left(x^{2}+2\right)^{3}}$ $\frac{A}{x}+\frac{B}{x-3}+\frac{C}{(x-3)^{2}}+\frac{D x+E}{x^{2}+2}+\frac{F x+G}{\left(x^{2}+2\right)^{2}}+\frac{H x+I}{\left(x^{2}+2\right)^{3}}$

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Problem 28768

(a) If $\log _{4} x=4$ , then $x=$ $\square$ (b) If $\log _{3} x=3$ , then $x=$ $\square$ Submit Question Jump to Answer

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Problem 28769

Question No. 2 The average age of Ram, Shyam and Manu is 30, that of Shyam, Ram and David is 32, that of Shyam, Manu and David is 27 and that of Manu, David and Ram is 28 . What is the age of Shyam?

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Problem 28770

For the functions $f(x)=\frac{3}{x+4}$ and $g(x)=\frac{7}{x+1}$ , find the composition $f \circ g$ and simplify your answer as much as possible. Write the domain using interval notation. $(f \circ g)(x)=$ $\square$
Domain of $f \circ g$ : $\square$

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Problem 28771

$r$ $(k-1)x + y = k$
$s$ $x + (k-1)y = 2$
Considera la retta $s$ e determina:
a) Le rette generatrici e il centro del fascio b) La retta perpendicolare alla retta $3x - y - 5 = 0$ c) La retta parallela alla retta $2x + y - 7 = 0$
Per ognuna delle seguenti coppie di rette, $r$ ed $s$ , discuti al variare di $k$ , la posizione reciproca e, qualora siano incidenti, descrivi l'equazione cartesiana $S$ del luogo geometrico delle intersezioni ottenute, (sempre al variare di $k$ ).

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Problem 28772

DEPARTMENT: SCIENCE LABORATORY TITLE: MTH 101
The $n^{th}$ term of the sequence is given as $3 \cdot 2^{2n}$ . Obtain the first four term of Sequence.

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Problem 28773

Expand $(2-3 x)^{5}$

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Problem 28774

Example 5.2.1. Let $T\left(x_{1}, x_{2}, x_{3}\right)=\left(x_{1}-x_{2},-2 x_{1}+2 x_{2}+x_{3},-x_{1}+x_{2}+x_{3}\right)$ and $\vec{b}=(1,0,-1)$ . Determine whether $\vec{b} \in T\left(\mathbb{R}^{3}\right)$ .

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Problem 28775

QUESTION 10. At what orbital radius would you place a satellite above the Moon (measured from the centre of the Moon) if it is to be synchronous? Moon: $M = 7.34 \times 10^{22}$ kg, $R = 1740$ km, and $T = 2.36 \times 10^6$ s

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Problem 28776

Solve the quadratic equations by factoring:
1. $x^2 + 4x - 21 = 0$
2. $x^2 - 49 = 0$

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Problem 28777

$8^x = 7$
What is the exact answer? Select the correct choice below and, if necessary, fill in the answer box
A. The solution set is \{\}. (Simplify your answer. Use a comma to separate answers as needed. Use integers or fractions.)
B. There is no solution.

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Problem 28778

What is the concentration of the hydroxide ion when 35.2 mL of 2.93 M NaOH is mixed - $1.35 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}$ ? with 32.2 mL of $1.35 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}$ ?

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Problem 28779

For the following expression, find the correct partial fraction decomposition for $\frac{3 x^{2}+22 x+1}{(5 x+3)\left(x^{2}-2 x+4\right)}$
Provide your answer below: $\square$ $+$ $\square$

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Problem 28780

Question For the following expression, find the correct partial fraction decomposition. $\frac{-z^{3}-z^{2}+z-5}{\left(z^{2}+2\right)\left(z^{2}+2\right)}$

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Problem 28781

Employing elementary row transformations, find the inverse of the matrix $\begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{bmatrix}$

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Problem 28782

For the following expression, find the correct partial fraction decomposition. $\frac{-3 y^{3}+10 y^{2}-20 y+3}{\left(y^{2}-3 y+5\right)\left(y^{2}-3 y+5\right)}$

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Problem 28783

A computer system costing $\$ 6500$ depreciated annually at $32 \%$ . (i) Using the declining balance method work out its value after 3 years. (ii) How long would it take the computer system to reach a value of $\$ 500$ ? Answer to the nearest year.

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Problem 28784

(a) $\begin{aligned} x_{1}+2 x_{2}-x_{3} & =2 \\ & x_{1}+x_{2}+2 x_{3}=0 \\ & x_{1}-x_{2}-x_{3}=1\end{aligned}$

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Problem 28785

الحالة الاولى تمثيل المتباينة الخطية من متغير واحد فى المستوى الديكارتى

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Problem 28786

Exro Credit: A 6 kg sloth has 9 J of kinetic energy. What is the velocity of the sloth? $V K-\frac{1}{r} \mu \omega^{2} \quad K E=3$

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Problem 28787

GENERAL EDUCATION COMMON ASSIGNMENT FOR MATH 1324 Scott wants to purchase a Toyota Rave XLE. The model he wants is available for \ $26,789. Scott has saved \$4,000 for a down payment, and the dealer has offered$ \ $3,500$ for his trade-in. He is considening three financing options Toyota's financial department is offering O\% interest for three years Scott's credit union is offering $1.98 \%$ compounded monthly for four years His bank is offering $2.97 \%$ compounded monthly for five vears Your Assignment: (a) What would Scott's monthly loan payment be for each option? (b) What total amount of interest would Scot pay for each option? (c) Describe the advantages and disadvantages of cach financing opt on (d) it you were Scott, which of these three fimancink copt ams would ta- Use and why?

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Problem 28788

$S=\left[\begin{array}{llll} -9 & 4 & -7 & -6 \end{array}\right]$
The additive inverse is $\square$ (Simplify your answer.)

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Problem 28789

Part 2. Solve the following systems of equations using algebra and write your answers as ordered pairs. Show all work and box your final answer.
5. $2 x-y=12 ; x+5 y=17$
6. $8 x+4 z=52 ; 3 x-2 z=23$

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Problem 28790

The image below is a geometric representation of Completing the Square.
Which of the following expressions correctly describes Completing the Square? $x^{2}+a x+\left(\frac{a}{2}\right)^{2}$ $x^{2}+2 a x+a^{2}$ $x^{2}+a+\left(\frac{a}{2}\right)^{2}$ $x^{2}+a x+a^{2}$

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Problem 28791

The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at $10 \mathrm{~m} / \mathrm{s}$ ? (Type the number, do not include units in your answer) \begin{tabular}{|c|c|} \hline Velocity $(\mathrm{m} / \mathrm{s})$ & Energy (Joules) \\ \hline 0 & 0 \\ \hline 2 & 12 \\ \hline 3 & 27 \\ \hline 6 & 108 \\ \hline 10 & $?$ \\ \hline \end{tabular}

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Problem 28792

Solve. $5(3 z-8)=-10$
Answer Attempt 1 out of 2

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Problem 28793

[i]. Type the integer that makes the following addition sentence true: $-3+\square=-12$ Submit

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Problem 28794

Give an example of a $2 \times 2$ matrix that is its own inverse.
An example of a $2 \times 2$ matrix that is its own inverse is $\square$

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Problem 28795

Solve Quadratic Equations-Completing the Square
Solve the following quadratic by completing the square. $f(x)=x^{2}+2 x-12$
Steps to Remember
1. Set the $y$ -value equal to 0 . $x=[?] \pm \sqrt{[]}$
2. Remove the constant term from both sides using the opposite operation.
3. Add $\left(\frac{b}{2}\right)^{2}$ to both sides (to complete the square).
4. Factor (write as a perfect square).
5. Solve for $x$ like normal.

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Problem 28796

Given $y=-2 x^{2}+4 x+1$ , identify the vertex, axis of symmetry, and maximum value.

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Problem 28797

Part 1 of 2 a. Use the coding matrix $\mathrm{A}=\left[\begin{array}{rr}2 & -1 \\ 5 & -3\end{array}\right]$ to encode the word LIFT. b. Use its inverse, $A^{-1}=\left[\begin{array}{ll}3 & -1 \\ 5 & -2\end{array}\right]$ , to decode $11,25,-16,-49$ . a. The encoded message is $\square$ (Type the values in the correct order, separated by commas.) Help me solve this View an example Get more help - Review Progress

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Problem 28798

2. $x^{2}+11 x+24$

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Problem 28799

View the accompanying description of how messages are being represented as matrices which are then encoded with matrix multiplication. The matrix $\left[\begin{array}{rrrrrr}56 & 51 & 116 & 65 & 87 & 149 \\ 18 & 120 & 80 & 102 & 102 & 164 \\ 101 & 24 & 154 & 43 & 111 & 162\end{array}\right]$ was encoded using the matrix $A=\left[\begin{array}{rrr}1 & 3 & 2 \\ 4 & 6 & -2 \\ 0 & 1 & 5\end{array}\right]$ What is the message? (i) Click the icon to learn how to convert a message into a matrix that can be encoded.
Write the message below. $\square$ $"$ "
Help me solve this View an example Get more help -

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Problem 28800

The monthly rent for the first house is $\$ 1,190$ , and the Bainters can expect it to increase $1.7 \%$ every year. The Bainters want to calculate their morithly rent over time.
What is an appropriate way to calculate the monthly rent over time? Your answer should include - a specific strategy or model that you could use - an explanation of how you would use that model to solve the problem

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Algebra

Problem 28701

Solve the equation k2−10k−15=−8k^{2}-10k-15=-8k2−10k−15=−8 by completing the square. Find the value to add and the equation form (k−a)2=b(k-a)^{2}=b(k−a)2=b. List solutions.

Problem 28702

Use like bases to solve the exponential equation. 9(2x)=27(x+3)9^{(2 x)}=27^{(x+3)}9(2x)=27(x+3) x=\mathrm{x}=x= \qquad Do not type "x=" □\square□

Problem 28703

30. Solve: x+3x2+5x+6=32x+4−1x+3\frac{x+3}{x^{2}+5 x+6}=\frac{3}{2 x+4}-\frac{1}{x+3}x2+5x+6x+3​=2x+43​−x+31​

Problem 28704

Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30 -minute class.If he teaches at the same rate, how many poses will Javier teach in today's class? □\square□ poses

Problem 28705

Problem 28706

through: (−1,4)(-1, 4)(−1,4), parallel to y=−5x+2y = -5x + 2y=−5x+2

Problem 28707

A factory needs to package 2,8352,8352,835 cartons of orange juice in boxes. How many more small boxes than large boxes are needed to package the cartons of orange juice? 5.NS0.2.25.\text{NS}0.2.25.NS0.2.2Box Size | Number of Cartons ------- | -------- Small | 151515 Large | 353535

Problem 28708

5. 5i−5+7i\frac{5 i}{-5+7 i}−5+7i5i​ simplify

Problem 28709

Problem 28710

Problem 28711

3. Show that the lines x−2y+1=0x - 2y + 1 = 0x−2y+1=0 and 3x−6y−7=03x - 6y - 7 = 03x−6y−7=0 are parallel.What is the slope of any line perpendicular to these lines?

Problem 28712

16. It costs the theater \$750 to put on each performance. If tickets are \$8 each, how many tickets must they sell for their next performance to profit at least \$1,200?≥\ge≥ 1260

Problem 28713

Solve. Round your answers to three decimal places. a) 5x−1=3.925^{x-1} = 3.925x−1=3.92 b) x=log⁡325x = \log_3{25}x=log3​25 c) 42x=52x−14^{2x} = 5^{2x-1}42x=52x−1 d) x=log⁡253.2x = \log_2{53.2}x=log2​53.2

Problem 28714

3. Solve the following system of equations using elimination and write the solution as a coordinate pair:−4x−2y=14-4x - 2y = 14−4x−2y=14 −10x+7y=−25-10x + 7y = -25−10x+7y=−25

Problem 28715

Problem 28716

23x−10=42^{3 x-10}=423x−10=4

Problem 28717

(4x+2)5,5th (4 x+2)^{5}, 5^{\text {th }}(4x+2)5,5th term

Problem 28718

Problem 28719

Problem 28720

Find the difference quotient f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​, where h≠0h \neq 0h=0, f(x)=8x−2f(x)=8 x-2f(x)=8x−2Simplify your answer as much as possible. f(x+h)−f(x)h=\frac{f(x+h)-f(x)}{h}=hf(x+h)−f(x)​=

Problem 28721

simplify. (x+32)+18(x+32)+18(x+32)+18

Problem 28722

Simplify (x4y43)3(x^4 y^{\frac{4}{3}})^3(x4y34​)3x7y3x^7 y^3x7y3 x7y4x^7 y^4x7y4 x7y133x^7 y^{\frac{13}{3}}x7y313​ x12y3x^{12} y^3x12y3 x12y4x^{12} y^4x12y4 x12y12x^{12} y^{12}x12y12

Problem 28723

Problem 28724

Problem 28725

Solve for all values of xxx by factoring.x2−2x=0x^2 - 2x = 0x2−2x=0

Problem 28726

Problem 28727

Problem 28728

Monomials15. Simplify. 5m7p3×2m2p410m3p5\frac{5m^7p^3 \times 2m^2p^4}{10m^3p^5}10m3p55m7p3×2m2p4​

Problem 28729

x2−23x+44=−5x+5x^2 - 23x + 44 = -5x + 5x2−23x+44=−5x+5

Problem 28730

Problem 28731

Question Watch Video Show ExamplesPaisley's cab company charges a one-time pickup fee of $3\$ 3$3 for every ride, as well as a $3\$ 3$3 charge for each mile traveled. Find the rate of change.Answer Attemptiout of 4 \ \square$ per mile Submit Answer

Problem 28732

What mass of NaCl are dissolved in 152 mL of a solution if the concentration of the solution is 0.3640.3640.364 M? 3.243.243.24 g of NaCl will be required

Problem 28733

12) 3x2=12+9x3 x^{2}=12+9 x3x2=12+9x

Problem 28734

Approximate each number using a calculator. (a) 2.73.12.7^{3.1}2.73.1 (b) 2.713.142.71^{3.14}2.713.14 (c) 2.7183.1412.718^{3.141}2.7183.141 (d) eπe^\pieπ(a) 2.73.1≈2.7^{3.1} \approx2.73.1≈ (Round to three decimal places as needed.)

Problem 28735

Problem 28736

Problem 28737

Subtract the matrices. [82−8−9−8499−2]−[12221521−1]\begin{bmatrix} 8 & 2 & -8 \\ -9 & -8 & 4 \\ 9 & 9 & -2 \end{bmatrix} - \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & 5 \\ 2 & 1 & -1 \end{bmatrix}⎣⎡​8−99​2−89​−84−2​⎦⎤​−⎣⎡​122​211​25−1​⎦⎤​

Problem 28738

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Click twice to plot each segment. Click a segment to delete it.

Problem 28739

2. ¿Cuántas soluciones tiene el sistema de ecuaciones? A Sin solución C Exactamente dos soluciones B Exactamente una solución D Un número infinito de soluciones

Problem 28740

Problem 28741

2. Factor x5−1=x^{5}-1=x5−1=

Problem 28742

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x, y)(x,y) point. y=2x2+4y=2 x^{2}+4y=2x2+4

Problem 28743

Problem 28744

Problem 28745

Use transformations of the graph of f(x)=ex\mathrm{f}(\mathrm{x})=e^{\mathrm{x}}f(x)=ex to graph the given function. Be sure to give the equation of the asymptote. Use the graph to determine the function's domain and range. g(x)=14exg(x)=\frac{1}{4} e^{x}g(x)=41​ex

Problem 28746

2x2+4x=22 x^{2}+4 x=22x2+4x=2

Problem 28747

Add and simplify: 2x+9+x+45x2−81\frac{2}{x+9} + \frac{x+45}{x^2 - 81}x+92​+x2−81x+45​

Problem 28748

Solve the equation $k^{2}-10k-15=-8$ by completing the square. Find the value to add and the equation form $(k-a)^{2}=b$ . List solutions.

Use like bases to solve the exponential equation. $9^{(2 x)}=27^{(x+3)}$ $\mathrm{x}=$ $\qquad$ Do not type "x=" $\square$

30. Solve: $\frac{x+3}{x^{2}+5 x+6}=\frac{3}{2 x+4}-\frac{1}{x+3}$

Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30 -minute class.
If he teaches at the same rate, how many poses will Javier teach in today's class? $\square$ poses

through: $(-1, 4)$ , parallel to $y = -5x + 2$

A factory needs to package $2,835$ cartons of orange juice in boxes. How many more small boxes than large boxes are needed to package the cartons of orange juice? $5.\text{NS}0.2.2$
Box Size | Number of Cartons ------- | -------- Small | $15$ Large | $35$

5. $\frac{5 i}{-5+7 i}$ simplify

3. Show that the lines $x - 2y + 1 = 0$ and $3x - 6y - 7 = 0$ are parallel.
What is the slope of any line perpendicular to these lines?

16. It costs the theater \$750 to put on each performance. If tickets are \$8 each, how many tickets must they sell for their next performance to profit at least \$1,200?
$\ge$ 1260

Solve. Round your answers to three decimal places. a) $5^{x-1} = 3.92$ b) $x = \log_3{25}$ c) $4^{2x} = 5^{2x-1}$ d) $x = \log_2{53.2}$

3. Solve the following system of equations using elimination and write the solution as a coordinate pair:
$-4x - 2y = 14$ $-10x + 7y = -25$

$2^{3 x-10}=4$

$(4 x+2)^{5}, 5^{\text {th }}$ term

Find the difference quotient $\frac{f(x+h)-f(x)}{h}$ , where $h \neq 0$ , $f(x)=8 x-2$
Simplify your answer as much as possible. $\frac{f(x+h)-f(x)}{h}=$

simplify. $(x+32)+18$

Simplify $(x^4 y^{\frac{4}{3}})^3$
$x^7 y^3$ $x^7 y^4$ $x^7 y^{\frac{13}{3}}$ $x^{12} y^3$ $x^{12} y^4$ $x^{12} y^{12}$

Solve for all values of $x$ by factoring.
$x^2 - 2x = 0$

Monomials
15. Simplify. $\frac{5m^7p^3 \times 2m^2p^4}{10m^3p^5}$

$x^2 - 23x + 44 = -5x + 5$

Question Watch Video Show Examples
Paisley's cab company charges a one-time pickup fee of $\$ 3$ for every ride, as well as a $\$ 3$ charge for each mile traveled. Find the rate of change.
Answer Attemptiout of 4 \\square$ per mile Submit Answer

What mass of NaCl are dissolved in 152 mL of a solution if the concentration of the solution is $0.364$ M? $3.24$ g of NaCl will be required

12) $3 x^{2}=12+9 x$

Approximate each number using a calculator. (a) $2.7^{3.1}$ (b) $2.71^{3.14}$ (c) $2.718^{3.141}$ (d) $e^\pi$
(a) $2.7^{3.1} \approx$ (Round to three decimal places as needed.)

Subtract the matrices. $\begin{bmatrix} 8 & 2 & -8 \\ -9 & -8 & 4 \\ 9 & 9 & -2 \end{bmatrix} - \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & 5 \\ 2 & 1 & -1 \end{bmatrix}$

2. Factor $x^{5}-1=$

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an $(x, y)$ point. $y=2 x^{2}+4$

Use transformations of the graph of $\mathrm{f}(\mathrm{x})=e^{\mathrm{x}}$ to graph the given function. Be sure to give the equation of the asymptote. Use the graph to determine the function's domain and range. $g(x)=\frac{1}{4} e^{x}$

$2 x^{2}+4 x=2$

Add and simplify: $\frac{2}{x+9} + \frac{x+45}{x^2 - 81}$

Question
Simplify: $(4 c)^{2}$
Answer Attempt 1 out of 2

press the following fraction in simplest form, only using positive exponents. $\frac{\left(2 u^{-5}\right)^{-1}}{6 b^{3}}$
Answer Altempt 1 out of 2 $\square$ Submit Answer

Solve the following equation for $B$ . Be sure to take into account whether a letter is capitalized or not. $\frac{B}{5 H}=F+G$

$\mathrm{A} = \frac{\mathrm{r}}{2 \mathrm{~L}}$ Solve for $L$ .

The expression $11+x+3$ can be rewritten as the equivalent expression $x+11+3$ using which of the following properties? (1) the commutative property of addition (2) the associative property of addition (3) the distributive property (4) the identity property of multiplication

$M(t) = 0.303t + 23.86$ $F(t) = 0.545t + 17.23$

Simplify the complex rational expression using either Method I or Method II. $\frac{\frac{y}{2} - \frac{2}{y}}{\frac{2}{y^2} - \frac{1}{2}} = \text{?}$

$s \geq 22$ $s > 22$ $s < 22$ $s \leq 22$ A book of stamps at the local post office has less than 22 stamps in it. 10/16 Mia 2x

Tracy invests $\$5,500$ into an ETF which earns $4\%$ per year. In 30 years, how much will Tracy's investment be worth if interest is compounded quarterly (4 times a year)? Round to the nearest dollar.

Question Find the value of $x$ in the equation below.
$x - 14.6 = 6.2$
Answer Attempt 1 out of 3 $x =$ Watch Video

(a) If $\log _{4} x=4$ , then $x=$ $\square$ (b) If $\log _{3} x=3$ , then $x=$ $\square$ Submit Question Jump to Answer

DEPARTMENT: SCIENCE LABORATORY TITLE: MTH 101
The $n^{th}$ term of the sequence is given as $3 \cdot 2^{2n}$ . Obtain the first four term of Sequence.

Expand $(2-3 x)^{5}$