Algebra

Problem 29701

d) $80=100\left(\frac{1}{2}\right)^{x}$

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Problem 29702

Solve the system below by interpreting it as the matrix equation $A X=B$ and finding the inverse coefficient matrix. $\begin{aligned} x-7 y+5 z & =90 \\ -3 x+25 y-18 z & =-319 \\ x+6 y-5 z & =-71 \end{aligned}$
Calculate $A^{-1}$ . $\square$ Calculate $A^{-1} B$ . $\square$ What is $x$ ? \begin{tabular}{|c|c|} \hline & $5524$ \\ \hline \multicolumn{2}{|l|}{5524 ( 5} \\ \hline (3) Not equivalent. & \\ \hline \end{tabular}

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Problem 29703

choose the letter that best answers the question or completes the statement.
1. Motion is described with respect to a b. displacement. c. slope. d. frame of reference.
2. Displacement is distance combined with a. direction. b. speed. c. velocity. d. magnitude.
3. Displacement vectors of 3 m and 5 m in the same direction combine to make a displacement vector that is a. 2 m . b. 0 m . c. 8 m . d. 15 m .
4. Average speed is the total distance divided by the a. average distance. b. average acceleration. c. total time. d. slope.
5. The slope of a distance-time graph is equal to the a. speed. b. acceleration. c. displacement. d. motion.
6. Velocity is
10. The rate at which velocity is changing at a given instant is described by (4)Text) assessment at PHSchool.com me a. instantaneous acceleration. b. average speed. c. constant speed. d. vector addition.
Understanding Concepts
11. Why is it necessary to choose a single frame reference when measuring motion?
12. For what kinds of distances would you choos make measurements in millimeters? In kilom
13. Light from a star travels to Earth in a straig line at a constant speed of almost 300,000 What is the acceleration of the light?
14. If two displacement vectors add to yield displacement of zero, what do you know the two displacements?
15. How will the total distance traveled by in 2 hours be affected if the average sp is doubled?
16. How do you know that a speedomete you the instantaneous speed of a car?
17. On a distance-time graph, what wou curve describing constant speed look
18. A spider is crawling on a wall. First it 1 meter up, then 1 meter to the left 1 meter down. What is its total disp
19. A jogger travels 8.0 kilometers in 1 What is the jogger's average spees
20. You see a lightning bolt in the sky clap of thunder 3 seconds later. travels at a speed of $330 \mathrm{~m} / \mathrm{s} . \mathrm{Hc}$ was the lightning? (Hint: Assum lightning instantly.)
7. Two or more velocities can be combined by a. graphing the slope. b. using vector addition. c. calculating the instantaneous speed. d. determining the rate.
8. A ball just dropped is an example of a. constant speed. b. instantaneous speed. c. combining displacements. d. free fall.
9. Acceleration is equal to a. distance divided by time. b. change in speed divided by time. c. the slope of a distance-time graph. d. change in speed multiplied by time.

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Problem 29704

Bookwork code: 4H Calculator not allowed
In the pyramid, the number in the top brick is the sum of the numbers in the bottom two bricks. What number should replace $x$ ?

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Problem 29705

$\log _{a} 3 n=\log _{a} n^{3}$

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Problem 29706

Add. Write your answer in simplest form. $-2 \sqrt{5}+9 \sqrt{5}$ $\square$ $\square$ Submit

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Problem 29707

In 18-20, evaluate each expression for $x=1.8, x=5$ , and $x=6.4$ .
18. $x \div 4$
19. $x(3.35)$
20. $2 x+3.1$

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Problem 29708

18. The height of a pool increases by 4 cm for every 10 litres of water added.
After adding some water the height of the pool increased by 0.24 m . 18a. How many groups of 4 cm are there in 0.24 m ? Sets of $4 \mathrm{~cm}=6$
18b How much water was added to the pool? Amount of water $=$ Enter your next step here $\square$ litres

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Problem 29709

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

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Problem 29710

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

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Problem 29711

Part 1 of 2
Find all complex zeros of the given polynomial function, and write the polynomial in completely factored form. $f(x)=3 x^{3}+5 x^{2}-39 x-65$
Find the complex zeros of f . Repeat any zeros if their multiplicity is greater than 1. $\mathrm{x}=\square$ (Simplify your answer. Use a comma to separate answers as needed. Express complex numbers in terms of $i$ . Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

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Problem 29712

Solve the system of equations. $\begin{array}{l} y=6 x-8 \\ y=4 x+6 \end{array}$ $x=$ $\square$ $y=$

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Problem 29713

4) Tina rode her bike 7 miles in 35 minutes. At this rate, how far will Tina trand after rilingher bike for one hour? who rode their bike the fastest. Anthing or Tina? 5) A tendier has 45 books on a shelf. Gf the bwoks, What percentage is about

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Problem 29714

$14=3+2 x$

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Problem 29715

Whole Numbers Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Micah is twice as old as Richard. Richard is three times as old as Ken. Ken is six years old. How old is Micah? 11 years old 8 years old 36 years old 18 years old

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Problem 29716

Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. How could you correctly rewrite the equation $4(5+3)=2(22-6)$ using the distributive property? $20+18=44-6$ $20+12=44-12$ $12+20=-12+44$ $20+3=44-6$

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Problem 29717

Yuto solved the equation below. $-2(x+5)=-2(x-2)+5$
What is the solution to Yuto's equation? $-10$ 9 no solution infinitely many solutions

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Problem 29718

Factor each quadratic expression. (10) $x^{2}+5 x+6$ (12) $x^{2}-5 x+4$ $13 x^{2}-4 x-12$

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Problem 29719

A class of 204 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 4 students and each bus hold 60 students.

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Problem 29720

Rewrite without parentheses. $-8 a^{4} c^{6}\left(7 c^{2}-3 a+5\right)$
Simplify your answer as much as possible.

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Problem 29721

ما هي العلاقة بين البُعد (Dimension) وعدد المتجهات المستقلة خطيًا في فضاء دعين؟

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Problem 29722

Given two terms in an arithmetic sequence find the recursive formula. 27) $a_{18}=3362$ and $a_{38}=7362$ 28) $a_{18}=44.3$ and $a_{33}=84.8$

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Problem 29723

Factor the expression $4 z^{2}+24 z-28$ . Simplify your answer as much as possible, and put the greatest common factor in the first answer box. $\square$ $(\square)($ $\square$ ) help (formulas)

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Problem 29724

$2(x+2)+x=3(x-1)+6$
No solution $x=$ $\square$ All real numbers are solutions $-4(w+4)=3(w+4)+7$ No solution $w=$ $\square$ All real numbers are solutions Enolanation Check

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Problem 29725

yson wants to solve the inequality $\frac{1}{3} m<-21$ . How can he isolate the variable? Multiply both sides by 3 and reverse the inequality symbol. Multiply both sides by 3 and do not reverse the inequality symbol. Divide both sides by -21 and reverse the inequality symbol. Divide both sides by -21 and do not reverse the inequality symbol.

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Problem 29726

the equations. $9=\frac{5-k}{5}$

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Problem 29727

Solve the system of equations by the addition method. $\left\{\begin{array}{l} 3 x+2 y=3 \\ 9 x+6 y=0 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $\square$ $\square$ ISimplify your answer Type an ordered pair.) B. There are infinitely many solutions. C. There is no solution.

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Problem 29728

se synthetic division to divide. $\frac{x^{4}+x^{3}-11 x^{2}-5 x+30}{x-2}$
12. $\frac{3 x^{3}-2 x^{2}-150}{x-4}$

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Problem 29729

ations
Two graphs are shown below. The $f(x)$ graph is the original graph. Complete the statements below to describe the relationship between the functions $\mathrm{f}(\mathrm{x})$ and $g(x)$ .
The graph of $\mathrm{g}(\mathrm{x})$ is a [ Select ] of the graph of $f(x)$ . Since $f(x)$ ends at $(2,6)$ and $g(x)$ ends at $(4,6)$ we can see that the [ Select ] have been multiplied by [ Select ] We might also notice that $\mathrm{f}(-1)=$ [ Select ] which

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Problem 29730

Which is the equation for the values in the table? 8.51 \begin{tabular}{|c|c|c|c|c|} \hline $x$ & -10 & 10 & 20 & 30 \\ \hline $y$ & -7 & 3 & 8 & 13 \\ \hline \end{tabular}
A $y=-\frac{1}{2} x-2$ B $\quad y=-2 x+2$ C $y=2 x+2$ D $y=\frac{1}{2} x-2$

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Problem 29731

Give the equation of the oblique asymptote, if any, of the function. $f(x)=\frac{x^{2}-7}{49 x-x^{4}}$

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Problem 29732

Question 4 1 pts
Solve the problem.
Economists use what is called a Leffer curve to predict the government revenue for tax rates from $0 \%$ to $100 \%$ . Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function $\mathrm{R}(\mathrm{x})=\frac{10 \mathrm{x}(100-\mathrm{x})}{50+\mathrm{x}}$ , where R is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?

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Problem 29733

Write a function to describe the following scenario.
Joe is trying to fix a broken watch by figuring out how many seconds it is behind. He found that it began at 23 seconds behind and fell further behind by 2 seconds every hour. $y=[?]+\square x$

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Problem 29734

Solve $3|x+1|-2=0$

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Problem 29735

(1 point) Simplify the given expression and enter your answer with positive exponents. $y^{-3}\left(2 y^{4}\right)^{7}$
Simplified answer: $\square$ help (formulas)

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Problem 29736

(1 point) Simplify the given expression and enter your answer with positive exponents. $\frac{6 j k^{7}}{j^{-7}}$
Simplified answer: $\square$ help (formulas)

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Problem 29737

Solve for $x$ : $-(-x-1)=-x+3(-x+7)+6$

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Problem 29738

(2 points) Solve the rational exponent equation. Use factoring where necessary, If there is more than one answer, enter a comma separated list. $x^{2 / 3}=4$ $x=$ $\square$ holp (numbers)

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Problem 29739

$\left(-3 x^{3}+5 x^{2}+10 x+4\right)-\left(x^{3}+7 x^{2}-3 x+1\right)$

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Problem 29740

(1 point) For $f(x)=4 x^{3}+8 x^{2}+4 x$ , determine the $x$ -intercepts and the end behavior. Enter intercepts as a comma separated list of points. Intercepts: $\square$ help (points) - As $x \rightarrow-\infty, f(x) \rightarrow$ $\square$ help (numbers) - As $x \rightarrow \infty, f(x) \rightarrow$ $\square$ help (numbers)
Inputting the function into the Desmos tool below may help investigate the function.

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Problem 29741

$\log _{\frac{1}{4}} 3.2+2 \log _{\frac{1}{4}} 2+\log _{\frac{1}{4}} 5$

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Problem 29742

Find the slope of the line below.
Note: Enter negatives when necessary with no space between the negative sign and the number. If your answer is a fraction, enter your answer as a reduced improper fraction. Ex. $1 / 3$ for $\frac{2}{6}$ $\mathrm{m}=$ $\square$ type your answer...

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Problem 29743

What kind of transformation converts the graph of $f(x)=-2|x|+5$ into the graph of $g(x)=$ $-4|x|+10 ?$ vertical shrink horizontal stretch vertical stretch horizontal shrink

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Problem 29744

Solve for w. 5 8 4 7 M 2 Simplify your answer as much as possible. W = ☐ Go X G

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Problem 29745

Simplify. $\frac{y^{7}}{y^{-3}}$
Write your answer with a positive exponen

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Problem 29746

Simplify. $\frac{x^{-2}}{x^{-8}}$
Write your answer with a positive exponent

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Problem 29747

Simplify. -8 X 9 X Write your answer with a positive exponent only. ☐ X

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Problem 29748

Simplify. $\frac{x^{-8}}{x^{9}}$
Write your answer with a positive exponent only.

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Problem 29749

(2 points) Solve for $x$ by converting the logarithmic equation to exponential form $\begin{array}{l} \log _{c}(x)=2 \\ x=\square \text { help (numbers) } \end{array}$

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Problem 29750

$\log \left(\frac{x}{y}\right)=\frac{\log x}{\log y}$ True False

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Problem 29751

7. $-34 b=272$
9. $65,600=160 j$
11. $-15 x=-120$

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Problem 29752

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. Leave in simplest fractional form. $2 x^{2}-x-3=0$ $\square$

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Problem 29753

Find the arithmetic sequence for $a_{n}=5n+6$ starting with $n=1$ .

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Problem 29754

Find the arithmetic sequence for $n=19$ given the formula $a_{n}=6n+0$ .

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Problem 29755

Find the $x$ -intercepts of the parabola with vertex $(1,245)$ and $y$ -intercept $(0,240)$ . Round to the nearest hundredth.

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Problem 29756

Is it true or false that money grows faster with shorter compounding periods? Choose the correct option.

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Problem 29757

Calculate the total amount and interest after 5 years for a \$5000 deposit at 2\% annual interest, compounded monthly.

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Problem 29758

Find the real zeros of $f(x)=2x^{3}-4x^{2}-34x+68$ and factor it over the reals. A. $x=$ B. No real zeros. Factor: $f(x)=$

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Problem 29759

Solve the inequality $x^{3}-x^{2}-72 x>0$ and express the solution in interval notation.

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Problem 29760

Solve the inequality $2x - 8 \geq -3x^2$ and express the solution in interval notation.

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Problem 29761

Calculate $5|\mathbf{A}| + |\mathbf{B}|$ for $\mathbf{A}=\begin{pmatrix}0 & 1 \\ -8 & -4\end{pmatrix}$ and $\mathbf{B}=\begin{pmatrix}7 & 1 \\ 0 & -5\end{pmatrix}$ .

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Problem 29762

Find $A$ and $B$ for the function $f(x)=A x^{3}+B x+1$ given that the tangent at $x=1$ has slope 4 and $f(2)=12$ .

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Problem 29763

How much to deposit today at $3\%$ semiannual compounding to reach $\$8000$ in 3 years? Amount: \$\square.

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Problem 29764

Find the value of $\frac{\left(x^{2}\right)^{3}}{x^{2}}$ when $x=3$ . Choices: 81, 27, 9, 6.

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Problem 29765

Solve the equation: $\frac{3 n-7}{6}=\frac{2 n+5}{3}$ .

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Problem 29766

How much will Karen have in her savings after 15 weeks if she starts with \ $20 and adds \$3 weekly? Use$ d + 15x$.

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Problem 29767

A candle burns $5\%$ of its height per hour. If it starts at 10 inches and burns for 3 hours, find its height: $10 - 0.05 \cdot 10 \cdot 3$ .

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Problem 29768

Find the equivalent expression for $\frac{1}{6}(30 x-24 y)-\frac{1}{8}(32 x-16 y)$ .

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Problem 29769

Find $x$ such that $f(x)=0$ for $f(x)=x^{2}-6x+9$ . Options: A) -3 B) 0 C) 3 D) 9

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Problem 29770

How long for prices to double with an 8.40% inflation rate? Use the formula: $t = \frac{\ln(2)}{\ln(1 + r)}$ .

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Problem 29771

A woman saves \$400 monthly in an annuity at 4.1% interest to reach \$800,000. How many years until retirement?

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Problem 29772

Find an equivalent expression for $\frac{x^{2}-6 x+9}{x^{2}}$ where $x \neq \pm 3$ .

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Problem 29773

Find the real values of $x$ satisfying: $\frac{6}{x+2}-\frac{2}{x-2}=-\frac{4}{x^{2}-4}$ , with $x \neq \pm 2$ .

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Problem 29774

Find the least common denominator of $\frac{2}{x-3}$ and $\frac{1}{x^{2}-4 x+3}$ .

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Problem 29775

Solve for $x$ : $\frac{3 x}{6}+1=7$ . What is $x$ ? Options: $4$ , $12$ , $16$ .

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Problem 29776

Find the equivalent expression for $2 x^{2}-14 x+24$ from the options: A, B, C, D.

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Problem 29777

If $(x-1)$ is a factor of $f(x)=x^{4}-b x^{3}+4 x^{2}+3$ , find the value of $b$ .

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Problem 29778

You owe \$15,000 at 4.45% interest compounded monthly. What are your monthly payments to pay off in 7 years, and total interest paid?

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Problem 29779

Find expressions equivalent to $\sqrt{80}$ , $80^{\frac{1}{2}}$ , $4 \sqrt{5}$ , $4 \sqrt{10}$ , $8 \sqrt{5}$ , $160^{\frac{1}{2}}$ .

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Problem 29780

Identify which functions are one-to-one: $f(x)=\frac{x-1}{3x+3}$ , $f(x)=\sqrt{5x+9}$ , $f(x)=\frac{7}{4x^2}$ , $f(x)=\frac{1}{2}x^3$ , $f(x)=3x^4+7x^3$ .

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Problem 29781

What will a \$10,000 investment be worth after 1 year with a 4.9% annual return?

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Problem 29782

Find the inverse function $f^{-1}$ for $f(x)=\sqrt[3]{x-2}+8$ .

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Problem 29783

Find the solutions to $2 x^{2} = -10 x + 12$ . Select from: $x=1, x=6, x=-3, x=-6, x=-2, x=3$ .

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Problem 29784

Find the solutions for $2 x^{2} = -10 x + 12$ . Choose from: $x=1$ , $x=6$ , $x=-3$ , $x=-6$ , $x=-2$ , $x=3$ .

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Problem 29785

Pamela's loan grew by R7980,00 to R32 923,00 in 4 years. Find the annual interest rate (compounded quarterly) as a %.

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Problem 29786

Which equation matches $-4(x-5)+8x=9x-3$ ? A. $-5x=2$ B. $5x=-12$ C. $-5x=-23$ D. $5x=17$

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Problem 29787

Calculate monthly payments and total interest for a \$23,000 loan at 4.35\% interest over 6 years.

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Problem 29788

Find the domain and range of the inverse function $f^{-1}$ where $f(x)=\frac{1}{3x+2}$ .

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Problem 29789

Invest \$5,000 at 3% interest. How much to invest at 5% for total interest of \$275 after one year? Options: \$2,500, \$2,000, \$3,000.

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Problem 29790

Prove by induction that for positive integers $n$ :
$1 + 2(\frac{1}{2}) + 3(\frac{1}{2})^2 + \ldots + n(\frac{1}{2})^{n-1} = 4 - \frac{n+2}{2^{n-1}}$ .

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Problem 29791

Find the values of $x$ that satisfy the inequality $-1 < x < 2$ .

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Problem 29792

Solve the equations: $6x=32$ and $6(x-8)=32$ .

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Problem 29793

Find the $y$ -intercept of the quadratic function $f(x)=a(x-p)(x-q)$ using $a$ , $p$ , and $q$ .

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Problem 29794

Find the function $g$ from the transformations of $f(x)=x^{2}$ : vertical stretch by 2, reflection, then translate. Which is $g$ ? a. $g(x)=-2(x+1)^{2}-4$ b. $g(x)=-2(x+1)^{2}+8$ c. $g(x)=2(-x+1)^{2}-4$ d. $g(x)=-2(x-1)^{2}-4$

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Problem 29795

After adding $3 x$ to $5 - 3 x = 2 x + 9$ , what should you do next? Options: add -9, add $-2 x$ , add -5.

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Problem 29796

Simplify the expression: $5 - y + 8$ .

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Problem 29797

Solve for $c$ in the equation: $-3c + 8 = -14$ .

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Problem 29798

Which set of ordered pairs $(x, y)$ represents a linear function:
A = {(0,5), (3,2), (6,-1), (10,-4)}, B = {(0,-1), (3,2), (0,5), (0,7)}, C = {(2,0), (4,0), (5,-3), (6,-5)}, D = {(-4,-5), (-1,1), (0,3), (4,6)}?

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Problem 29799

कौन-सा द्विघात समीकरण नहीं है: (a) $(x-5)(3 x+2)=x(x+3)$ , (b) $(2 x-2)(x+3)=(x+5)(2 x+5)$ , (c) $(x+3)^{2}=\left(3 x^{2}+2 x+1\right)$ , (d) $x^{3}+x^{2}+x+1=(x+1)^{3}$ ?

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Problem 29800

Solve for $c$ in the equation: $-3c + 8 = -19$ .

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1 ...295 296 297 298 299 300 301 ...313

Algebra

Problem 29701

d) 80=100(12)x80=100\left(\frac{1}{2}\right)^{x}80=100(21​)x

Problem 29702

Problem 29703

Problem 29704

Bookwork code: 4H Calculator not allowedIn the pyramid, the number in the top brick is the sum of the numbers in the bottom two bricks. What number should replace xxx ?

Problem 29705

log⁡a3n=log⁡an3\log _{a} 3 n=\log _{a} n^{3}loga​3n=loga​n3

Problem 29706

Add. Write your answer in simplest form. −25+95-2 \sqrt{5}+9 \sqrt{5}−25​+95​ □\square□ □\square□ Submit

Problem 29707

In 18-20, evaluate each expression for x=1.8,x=5x=1.8, x=5x=1.8,x=5, and x=6.4x=6.4x=6.4.18. x÷4x \div 4x÷419. x(3.35)x(3.35)x(3.35)20. 2x+3.12 x+3.12x+3.1

Problem 29708

Problem 29709

Evaluate the expression for h=−9h=-9h=−9 and j=8j=8j=8. Simplify your answer. jh+j=\frac{j}{h+j}=h+jj​= □\square□ Submit

Problem 29710

Evaluate the expression for h=−9h=-9h=−9 and j=8j=8j=8. Simplify your answer. jh+j=\frac{j}{h+j}=h+jj​= □\square□ Submit

Problem 29711

Problem 29712

Solve the system of equations. y=6x−8y=4x+6\begin{array}{l} y=6 x-8 \\ y=4 x+6 \end{array}y=6x−8y=4x+6​ x=x=x= □\square□ y=y=y=

Problem 29713

4) Tina rode her bike 7 miles in 35 minutes. At this rate, how far will Tina trand after rilingher bike for one hour? who rode their bike the fastest. Anthing or Tina? 5) A tendier has 45 books on a shelf. Gf the bwoks, What percentage is about

Problem 29714

14=3+2x14=3+2 x14=3+2x

Problem 29715

Problem 29716

Problem 29717

Yuto solved the equation below. −2(x+5)=−2(x−2)+5-2(x+5)=-2(x-2)+5−2(x+5)=−2(x−2)+5What is the solution to Yuto's equation? −10-10−10 9 no solution infinitely many solutions

Problem 29718

Factor each quadratic expression. (10) x2+5x+6x^{2}+5 x+6x2+5x+6 (12) x2−5x+4x^{2}-5 x+4x2−5x+4 13x2−4x−1213 x^{2}-4 x-1213x2−4x−12

Problem 29719

A class of 204 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 4 students and each bus hold 60 students.

Problem 29720

Rewrite without parentheses. −8a4c6(7c2−3a+5)-8 a^{4} c^{6}\left(7 c^{2}-3 a+5\right)−8a4c6(7c2−3a+5)Simplify your answer as much as possible.

Problem 29721

ما هي العلاقة بين البُعد (Dimension) وعدد المتجهات المستقلة خطيًا في فضاء دعين؟

Problem 29722

Given two terms in an arithmetic sequence find the recursive formula. 27) a18=3362a_{18}=3362a18​=3362 and a38=7362a_{38}=7362a38​=7362 28) a18=44.3a_{18}=44.3a18​=44.3 and a33=84.8a_{33}=84.8a33​=84.8

Problem 29723

Factor the expression 4z2+24z−284 z^{2}+24 z-284z2+24z−28. Simplify your answer as much as possible, and put the greatest common factor in the first answer box. □\square□ (□)((\square)((□)( □\square□ ) help (formulas)

Problem 29724

2(x+2)+x=3(x−1)+62(x+2)+x=3(x-1)+62(x+2)+x=3(x−1)+6No solution x=x=x= □\square□ All real numbers are solutions −4(w+4)=3(w+4)+7-4(w+4)=3(w+4)+7−4(w+4)=3(w+4)+7 No solution w=w=w= □\square□ All real numbers are solutions Enolanation Check

Problem 29725

Problem 29726

the equations. 9=5−k59=\frac{5-k}{5}9=55−k​

Problem 29727

Problem 29728

se synthetic division to divide. x4+x3−11x2−5x+30x−2\frac{x^{4}+x^{3}-11 x^{2}-5 x+30}{x-2}x−2x4+x3−11x2−5x+30​12. 3x3−2x2−150x−4\frac{3 x^{3}-2 x^{2}-150}{x-4}x−43x3−2x2−150​

Problem 29729

Problem 29730

Problem 29731

Give the equation of the oblique asymptote, if any, of the function. f(x)=x2−749x−x4f(x)=\frac{x^{2}-7}{49 x-x^{4}}f(x)=49x−x4x2−7​

Problem 29732

Problem 29733

Write a function to describe the following scenario.Joe is trying to fix a broken watch by figuring out how many seconds it is behind. He found that it began at 23 seconds behind and fell further behind by 2 seconds every hour. y=[?]+□xy=[?]+\square xy=[?]+□x

Problem 29734

Solve 3∣x+1∣−2=03|x+1|-2=03∣x+1∣−2=0

Problem 29735

(1 point) Simplify the given expression and enter your answer with positive exponents. y−3(2y4)7y^{-3}\left(2 y^{4}\right)^{7}y−3(2y4)7Simplified answer: □\square□ help (formulas)

Problem 29736

(1 point) Simplify the given expression and enter your answer with positive exponents. 6jk7j−7\frac{6 j k^{7}}{j^{-7}}j−76jk7​Simplified answer: □\square□ help (formulas)

Problem 29737

Solve for xxx : −(−x−1)=−x+3(−x+7)+6-(-x-1)=-x+3(-x+7)+6−(−x−1)=−x+3(−x+7)+6

Problem 29738

(2 points) Solve the rational exponent equation. Use factoring where necessary, If there is more than one answer, enter a comma separated list. x2/3=4x^{2 / 3}=4x2/3=4 x=x=x= □\square□ holp (numbers)

Problem 29739

(−3x3+5x2+10x+4)−(x3+7x2−3x+1)\left(-3 x^{3}+5 x^{2}+10 x+4\right)-\left(x^{3}+7 x^{2}-3 x+1\right)(−3x3+5x2+10x+4)−(x3+7x2−3x+1)

Problem 29740

Problem 29741

log⁡143.2+2log⁡142+log⁡145\log _{\frac{1}{4}} 3.2+2 \log _{\frac{1}{4}} 2+\log _{\frac{1}{4}} 5log41​​3.2+2log41​​2+log41​​5

Problem 29742

Find the slope of the line below.Note: Enter negatives when necessary with no space between the negative sign and the number. If your answer is a fraction, enter your answer as a reduced improper fraction. Ex. 1/31 / 31/3 for 26\frac{2}{6}62​ m=\mathrm{m}=m= □\square□ type your answer...

Problem 29743

What kind of transformation converts the graph of f(x)=−2∣x∣+5f(x)=-2|x|+5f(x)=−2∣x∣+5 into the graph of g(x)=g(x)=g(x)= −4∣x∣+10?-4|x|+10 ?−4∣x∣+10? vertical shrink horizontal stretch vertical stretch horizontal shrink

Problem 29744

Solve for w. 5 8 4 7 M 2 Simplify your answer as much as possible. W = ☐ Go X G

Problem 29745

Simplify. y7y−3\frac{y^{7}}{y^{-3}}y−3y7​Write your answer with a positive exponen

Problem 29746

d) $80=100\left(\frac{1}{2}\right)^{x}$

Bookwork code: 4H Calculator not allowed
In the pyramid, the number in the top brick is the sum of the numbers in the bottom two bricks. What number should replace $x$ ?

$\log _{a} 3 n=\log _{a} n^{3}$

Add. Write your answer in simplest form. $-2 \sqrt{5}+9 \sqrt{5}$ $\square$ $\square$ Submit

In 18-20, evaluate each expression for $x=1.8, x=5$ , and $x=6.4$ .
18. $x \div 4$
19. $x(3.35)$
20. $2 x+3.1$

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

Solve the system of equations. $\begin{array}{l} y=6 x-8 \\ y=4 x+6 \end{array}$ $x=$ $\square$ $y=$

$14=3+2 x$

Yuto solved the equation below. $-2(x+5)=-2(x-2)+5$
What is the solution to Yuto's equation? $-10$ 9 no solution infinitely many solutions

Factor each quadratic expression. (10) $x^{2}+5 x+6$ (12) $x^{2}-5 x+4$ $13 x^{2}-4 x-12$

Rewrite without parentheses. $-8 a^{4} c^{6}\left(7 c^{2}-3 a+5\right)$
Simplify your answer as much as possible.

Given two terms in an arithmetic sequence find the recursive formula. 27) $a_{18}=3362$ and $a_{38}=7362$ 28) $a_{18}=44.3$ and $a_{33}=84.8$

Factor the expression $4 z^{2}+24 z-28$ . Simplify your answer as much as possible, and put the greatest common factor in the first answer box. $\square$ $(\square)($ $\square$ ) help (formulas)

$2(x+2)+x=3(x-1)+6$
No solution $x=$ $\square$ All real numbers are solutions $-4(w+4)=3(w+4)+7$ No solution $w=$ $\square$ All real numbers are solutions Enolanation Check

the equations. $9=\frac{5-k}{5}$

se synthetic division to divide. $\frac{x^{4}+x^{3}-11 x^{2}-5 x+30}{x-2}$
12. $\frac{3 x^{3}-2 x^{2}-150}{x-4}$

Give the equation of the oblique asymptote, if any, of the function. $f(x)=\frac{x^{2}-7}{49 x-x^{4}}$

Write a function to describe the following scenario.
Joe is trying to fix a broken watch by figuring out how many seconds it is behind. He found that it began at 23 seconds behind and fell further behind by 2 seconds every hour. $y=[?]+\square x$

Solve $3|x+1|-2=0$

(1 point) Simplify the given expression and enter your answer with positive exponents. $y^{-3}\left(2 y^{4}\right)^{7}$
Simplified answer: $\square$ help (formulas)

(1 point) Simplify the given expression and enter your answer with positive exponents. $\frac{6 j k^{7}}{j^{-7}}$
Simplified answer: $\square$ help (formulas)

Solve for $x$ : $-(-x-1)=-x+3(-x+7)+6$

(2 points) Solve the rational exponent equation. Use factoring where necessary, If there is more than one answer, enter a comma separated list. $x^{2 / 3}=4$ $x=$ $\square$ holp (numbers)

$\left(-3 x^{3}+5 x^{2}+10 x+4\right)-\left(x^{3}+7 x^{2}-3 x+1\right)$

$\log _{\frac{1}{4}} 3.2+2 \log _{\frac{1}{4}} 2+\log _{\frac{1}{4}} 5$

Find the slope of the line below.
Note: Enter negatives when necessary with no space between the negative sign and the number. If your answer is a fraction, enter your answer as a reduced improper fraction. Ex. $1 / 3$ for $\frac{2}{6}$ $\mathrm{m}=$ $\square$ type your answer...

What kind of transformation converts the graph of $f(x)=-2|x|+5$ into the graph of $g(x)=$ $-4|x|+10 ?$ vertical shrink horizontal stretch vertical stretch horizontal shrink

Simplify. $\frac{y^{7}}{y^{-3}}$
Write your answer with a positive exponen

Simplify. $\frac{x^{-2}}{x^{-8}}$
Write your answer with a positive exponent

Simplify. $\frac{x^{-8}}{x^{9}}$
Write your answer with a positive exponent only.

(2 points) Solve for $x$ by converting the logarithmic equation to exponential form $\begin{array}{l} \log _{c}(x)=2 \\ x=\square \text { help (numbers) } \end{array}$

$\log \left(\frac{x}{y}\right)=\frac{\log x}{\log y}$ True False

7. $-34 b=272$
9. $65,600=160 j$
11. $-15 x=-120$

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. Leave in simplest fractional form. $2 x^{2}-x-3=0$ $\square$

Find the arithmetic sequence for $a_{n}=5n+6$ starting with $n=1$ .

Find the arithmetic sequence for $n=19$ given the formula $a_{n}=6n+0$ .

Find the $x$ -intercepts of the parabola with vertex $(1,245)$ and $y$ -intercept $(0,240)$ . Round to the nearest hundredth.

Find the real zeros of $f(x)=2x^{3}-4x^{2}-34x+68$ and factor it over the reals. A. $x=$ B. No real zeros. Factor: $f(x)=$

Solve the inequality $x^{3}-x^{2}-72 x>0$ and express the solution in interval notation.

Solve the inequality $2x - 8 \geq -3x^2$ and express the solution in interval notation.

Calculate $5|\mathbf{A}| + |\mathbf{B}|$ for $\mathbf{A}=\begin{pmatrix}0 & 1 \\ -8 & -4\end{pmatrix}$ and $\mathbf{B}=\begin{pmatrix}7 & 1 \\ 0 & -5\end{pmatrix}$ .

Find $A$ and $B$ for the function $f(x)=A x^{3}+B x+1$ given that the tangent at $x=1$ has slope 4 and $f(2)=12$ .

How much to deposit today at $3\%$ semiannual compounding to reach $\$8000$ in 3 years? Amount: \$\square.

Find the value of $\frac{\left(x^{2}\right)^{3}}{x^{2}}$ when $x=3$ . Choices: 81, 27, 9, 6.

Solve the equation: $\frac{3 n-7}{6}=\frac{2 n+5}{3}$ .

How much will Karen have in her savings after 15 weeks if she starts with \ $20 and adds \$3 weekly? Use$ d + 15x$.

A candle burns $5\%$ of its height per hour. If it starts at 10 inches and burns for 3 hours, find its height: $10 - 0.05 \cdot 10 \cdot 3$ .

Find the equivalent expression for $\frac{1}{6}(30 x-24 y)-\frac{1}{8}(32 x-16 y)$ .

Find $x$ such that $f(x)=0$ for $f(x)=x^{2}-6x+9$ . Options: A) -3 B) 0 C) 3 D) 9

How long for prices to double with an 8.40% inflation rate? Use the formula: $t = \frac{\ln(2)}{\ln(1 + r)}$ .

Find an equivalent expression for $\frac{x^{2}-6 x+9}{x^{2}}$ where $x \neq \pm 3$ .

Find the real values of $x$ satisfying: $\frac{6}{x+2}-\frac{2}{x-2}=-\frac{4}{x^{2}-4}$ , with $x \neq \pm 2$ .

Find the least common denominator of $\frac{2}{x-3}$ and $\frac{1}{x^{2}-4 x+3}$ .