Browse Algebra problems Studdy Solved!

Problem 27801

What does the transformation $g(x)=3 f(x)$ do to the function $f$ ?

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Problem 27802

Let the number of eighth graders be $x$ . Then, $5x - 3 = 12$ . Find $x$ .

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Problem 27803

The library had 56 books on Friday, which is 8 less than 4 times Thursday's circulation. Find Thursday's circulation: $F=56 \quad T=? \quad 4T-8=56$

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Problem 27804

Write the linear equation $y=2 x+5$ in function notation.

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Problem 27805

Write the linear equation $y=13 x-4$ in function notation.

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Problem 27806

A salesman makes $0.0025 r$ of revenue. A soccer team won $45\%$ , lost $40\%$ , and tied 3. Total games? Mary spends $60\%$ of \$300 for a camera at 25\% off. Original price?

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Problem 27807

Santos won \$50, which is \$10 more than twice the third-place prize. Find the third-place prize amount.

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Problem 27808

A coat costs $d$ dollars, on sale for 20% off, plus 5% tax. What is the total cost? A) $0.84 d$ B) $0.85 d$ C) $1.05 d$ D) $1.25 d$

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Problem 27809

Find the equation of line $L$ in point-slope form, parallel to $y=-2x$ and through (3,4).

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Problem 27810

Write the equations in point-slope and slope-intercept forms for the given points and lines in Exercises 5-8.

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Problem 27811

Determine if $f(x)=\frac{x^{2}}{x^{4}+5}$ is even, odd, or neither. Use a graphing calculator for verification.

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Problem 27812

Andrew got a 20% discount on a \$500 watch. If he spent all his savings, how much did he have before? A) \$400 B) \$1,000 C) \$1,250 D) \$4,000

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Problem 27813

Andrew bought a watch for 40% of his savings after a 20% discount on a \$500 watch. How much did he have initially?

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Problem 27814

Find the domain of the function $f(t)=\sqrt[3]{6 t-2}$ in interval notation.

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Problem 27815

For the reaction of 0.213 moles of CO and 0.510 moles of H₂O, find the limiting reagent and max moles of CO₂ produced.

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Problem 27816

Find the average rate of change of $f(x)=3x$ from $x_{1}=0$ to $x_{2}=5$ .

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Problem 27817

Solve. Show your work. No work = no credit!
$\log_2(x+8) + \log_2(x) = 4$

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Problem 27818

Solve the equation. $\begin{array}{l} x(x+3)=0 \\ x=\square \end{array}$ (Use a comma to separate answers as nee

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Problem 27819

Graph the following system of inequalities. $\begin{array}{l} y>x^{2}-6 \\ y<-x^{2}+3 \end{array}$

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Problem 27820

Solve for x. $\log_{x}2 = 1$

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Problem 27821

Find the value of the expression $t^u - v$ for $t = 2$ , $u = 2$ , and $v = 4$ . Submit

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Problem 27822

Find the difference $2 j(x)-4 g(x)$ $2(12 x-7)-4(-3 x+8)$

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Problem 27823

Highlights \& Notes Reference
An incident ball $A$ of mass 0.10 kg is sliding at $1.4 \mathrm{~m} / \mathrm{s}$ on the horizontal tabletop of negligible friction shown above. It makes a head-on collision with a target ball $B$ of mass 0.50 kg at rest at the edge of the table. As a result of the collision, the incident ball rebounds, sliding backwards at $0.70 \mathrm{~m} / \mathrm{s}$ immediately after the collision. a. Calculate the speed of the 0.50 kg target ball immediately after the collision.
The tabletop is 1.20 m above a level, horizontal floor. The target ball is projected horizontally and initially strikes the floor at a horizontal displacement $d$ from the point of collision. b. Calculate the horizontal displacement $d$ .

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Problem 27824

4. Find the value of the variable(s) that makes the equation true. a. $7^{10}=7^{5} \cdot 7^{f}$ b. $\sqrt[3]{h} \cdot \sqrt[3]{h} \cdot \sqrt[3]{h}=-13$ $f=$ $\qquad$ $h=$ $\qquad$ c. $\sqrt{m} \cdot \sqrt{m}=26$ d. $\frac{7^{5}}{6^{5}}=\left(\frac{6}{7}\right)^{y}$ $m=$ $\qquad$ $y=$ $\qquad$ e. $35^{12}=\left(35^{x}\right)^{2}$ f. $\left(\frac{9}{10}\right)^{-1}=\frac{c}{r}$ g. $18^{0}=\frac{18^{w}}{18^{7}}$ $c=$ $\qquad$ $x=$ $\qquad$ $r=$ $\qquad$

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Problem 27825

Solve the equation. $\begin{array}{l} 3 x^{2}-37 x=-4 x^{2}-3 x-24 \\ x=\square \end{array}$ (Use a comma to separate answers as needed.

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Problem 27826

Question 15 (Mandatory) (1 point) Which function represents $f(x) = -(x+5)^2 - 4$ written in standard form?

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Problem 27827

A population of rabbits oscillates 33 above and below an average of 118 during the year, hitting the lowest value in January ( $t = 0$ ). Find an equation for the population, $P$ , in terms of the months since January, $t$ .
$P(t) =$
What if the lowest value of the rabbit population occurred in April instead?
$P(t) =$
Submit Question

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Problem 27828

Question 26 (Mandatory) (1 point) Saved An amusement park usually charges $\$34$ per ticket, but wants to raise the price by $\$1$ per ticket. The revenue that could be generated is modelled by the function $R(x) = -125(x-12)^2 + 35000$ , where $x$ is the number of $\$1$ increases and the revenue, $R(x)$ , is in dollars. What should the ticket price be if the park wants to earn $\$15000$ ?

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Problem 27829

Question 18 (Mandatory) (1 point) The cost of running a carwash is a function of the number of cars washed per hour. The cost function is $C(x) = 1.72x^2 - 18.25x + 47.2$ , where $C(x)$ is the cost in dollars, and $x$ is the number of cars washed per hour. Determine the level of approximate number of cars per hour is most economic.

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Problem 27830

Question 19 (Mandatory) (1 point) Which discriminant indicates that a quadratic function has two distinct real solutions and the function has two x-intercepts? a) $b^2 - 4ac < 0$ b) $b^2 - 4ac \neq 0$ c) $b^2 - 4ac = 0$ d) $b^2 - 4ac > 0$

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Problem 27831

Rosa and Cassandra work for a publishing company. Each week they write humorous comments and blogs on the company's review section of its website. Rosa posts under the blog title Cleverish, and Cassandra posts under the title Writing Lively. They are each assigned a set number of posts each week. The double number line shows the number of posts under Cleverish and the number of posts under Writing Lively.
Use the double number line to calculate the unknown values.
1. How many new posts will appear under Writing Lively this week if there are 128 new posts under Cleverish?
144 posts by Writing Lively I want to do the optional double number line tasks.
2. Suppose that Writing Lively shows 360 posts for this week. How many posts does Cleverish show for this week? posts by Cleverish I want to do the optional double number line tasks.

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Problem 27832

Question 20 (Mandatory) (1 point) Determine the roots of $x^2 - 22x + 121 = 0$ to the nearest hundredth.

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Problem 27833

Question 21 (Mandatory) (1 point) Determine the roots of $3.3x^2 + 1.9x - 2.4 = 0$ to the nearest hundredth.

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Problem 27834

$4b + 18 \le -12b - 14 \le 14 - 5b$

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Problem 27835

2. $(7 + 3i) - (5 - 6i)$

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Problem 27836

In another experiment on the same table, the target ball $B$ is replaced by target ball $C$ of mass 0.10 kg . The incident ball $A$ again slides at $1.4 \mathrm{~m} / \mathrm{s}$ , as shown above left, but this time makes a glancing collision with the target ball $C$ that is at rest at the edge of the table. The target ball $C$ strikes the floor at point $P$ , which is at a horizontal displacement of 0.15 m from the point of the collision, and at a horizontal angle of $30^{\circ}$ from the $+x$ -axis, as shown above right. c. Calculate the speed vof the target ball Cimmediately after the collision. d. Calculate the $y$ -component of incident ball $A^{\prime}$ 's momentum immediately after the collision.
Note On your AP Exam, you will handwrite your responses to free-response questions in a test

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Problem 27837

Solve the system of two linear inequalities graphically.
$\begin{cases} 2x + 4y < -12 \\ x \ge 3 \end{cases}$
Step 3 of 3: Find the region with points that satisfy both inequalities.
Answer 2 Points
Select the region you wish to be shaded: OA OB OC OD

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Problem 27838

Answer the questions about the following function. $f(x)=2 x^{2}-x-1$ (a) Is the point $(2,5)$ on the graph of f ? (b) If $x=-2$ , what is $f(x)$ ? What point is on the graph of $f$ ? (c) If $f(x)=-1$ , what is $x$ ? What point(s) are on the graph of $f$ ? (d) What is the domain of $f$ ? (e) List the x -intercept(s), if any, of the graph of f . (f) List the $y$ -intercept, if there is one, of the graph of $f$ .

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Problem 27839

Assuming a is a positive real number, use properties of logarithms to write the expression as a sum or difference logarithms or multiples of logarithms. Expand the expression as far as possible. $\ln (4 a)$ $\ln (4 a)=$ $\square$ (Type an exact answer in simplified form.)

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Problem 27840

10 Use the properties of complex numbers to simplify $(9+\sqrt{-4})+(-9-\sqrt{-16})$ . (A) $-2 i$ (B) $18-\sqrt{-20}$ (C) $18-2 i$ (D) $6 i$

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Problem 27841

9 Solve the equation $-(x-3)^{2}-3=7$ and write the answer as a complex number in the standard form $a \pm b i$ . (A) -7 (B) $-3 \pm i \sqrt{10}$ (C) $3 \pm i \sqrt{10}$ (D) $3 \pm 10 i$

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Problem 27842

2 Trayvon was asked to construct a polynomial function with the following zeros and multiplicities. Which function should he write? \begin{tabular}{|c|c|} \hline Zero & Multiplicity \\ \hline $x=-5$ & 2 \\ \hline $x=-10$ & 5 \\ \hline \end{tabular} (A) $f(x)=(x-5)^{2}(x-10)^{5}$ (B) $f(x)=(x+5)^{2}(x+10)^{5}$ (C) $f(x)=(x+5)^{5}(x+10)^{2}$ (D) $f(x)=(x-5)^{5}(x-10)^{2}$

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Problem 27843

Find the constant of proportionality $k$ as a fraction in simplest form. Then enter an equation for the relationship between $x$ and $y$ .
| $y$ | $x$ | |---|---| | 2 | 8 | | 4 | 16 | | 6 | 24 | | 8 | 32 |
The constant of proportionality, $k$ is equal to $\Box$ .
The equation is $y = \Box$ .

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Problem 27844

Graph the function below, and analyze it for domain, range, continuity, increasing or decreas asymptotes, and end behavior. $f(x)=\log _{5}(125 x)$
The domain is $\square$ (Type your answer in interval notation.)

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Problem 27845

asymptotes, and end behavior. $f(x)=\log _{5}(125 x)$
The domain is $(0, \infty)$ . (Type your answer in interval notation.) The range is $\square$ (Type your answer in interval notation.)

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Problem 27846

asymptotes, and end behavior. $f(x)=\log _{5}(125 x)$ B. There is no vertical asymptote.
Choose the correct choice below and, if necessary, fill in the answe A. The horizontal asymptote(s) is/are $\square$ . (Simplify your answer. Type an equation. Use a comma to

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Problem 27847

Graph the function below, and analyze it tor aomain, asymptotes, and end behavior. $f(x)=\log _{5}(125 x)$ A. The horizontal asymptote(s) is/are $\square$ . (Simplify your answer. Type an equation. Use a B. There is no horizontal asymptote.
Find the end behavior of $f(x)=\log _{5} v^{25 x}$ ). $\lim _{x \rightarrow \infty} f(x)=\square$ $\square$

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Problem 27848

The relationship between intensity, I, of light (in lumens) at a depth of $x$ feet in Lake Erie is given by the following equation. $\log \frac{1}{12}=-0.00235 x$
What is the intensity at a depth of 35 ft ?
The intensity at a depth of 35 ft is approximately $\square$ lumens. (Type an integer or decimal rounded to three decimal places as needed.)

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Problem 27849

Directions: Find the inverse of the following functions. Be sure to show all work and use proper notation.
8. $f(x)=\frac{x-3}{x+2}$
9. $h(x)=\frac{4 x-1}{2 x+3}$ $\begin{array}{l} x=\frac{y-3}{y+2} \\ x(y+2)=y-3 \\ x y+2 x=y-3 \\ 2 x-3=y-x y \\ 2 x-3=y(1-x) \\ y=\frac{2 x-3}{1-x} \end{array}$ $x=\frac{4 y-1}{2 y+3}$ $\begin{array}{l} x(2 y+3)=4 y-1 \\ 2 x y+3 x=4 y-1 \\ 3 x+1=4 y-2 x y \\ 3 x+1=y(4-2 x) \end{array}$ $h(x)^{-1}=\sqrt{y=\frac{3 x+1}{4-2 x}}$
10. $y=\frac{x+4}{x-5}$
11. $g(x)=\frac{2 x+1}{3 x+7}$

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Problem 27850

Directions: Find the inverse of the following functions. Be sure to show all work and use proper notation.
8. $f(x)=\frac{x-3}{x+2}$
9. $h(x)=\frac{4 x-1}{2 x+3}$ $\begin{array}{l} x=\frac{y-3}{y+2} \\ x(y+2)=y-3 \\ x y+2 x=y-3 \\ 2 x-3=y-x y \\ 2 x-3=y(1-x) \\ y=\frac{2 x-3}{1-x} \end{array}$ $x=\frac{4 y-1}{2 y+3}$ $\begin{array}{l} x(2 y+3)=4 y-1 \\ 2 x y+3 x=4 y-1 \\ 3 x+1=4 y-2 x y \\ 3 x+1=y(4-2 x) \end{array}$ $h(x)^{-1}=\sqrt{y=\frac{3 x+1}{4-2 x}}$
10. $y=\frac{x+4}{x-5}$
11. $g(x)=\frac{2 x+1}{3 x+7}$

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Problem 27851

Learn with an example $\checkmark$ or Watch
Graph the line that has a slope of $\frac{1}{10}$ and includes the point $(0,1)$ . Click to select points on the graph. Submit

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Problem 27852

Use the change-of-base formula and a calculator to evaluate $\log _{6} 15$
Rewrite the expression with common logarithms using the change-of-bas $\log _{6} 15=\frac{\log (15)}{\log (6)}$ (Use integers or decimals for any numbers in the expression.) Find the approximation. $\log _{6} 15 \approx$ $\square$ (Simplify your answer. Round to three decimal places as needed.)

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Problem 27853

Use the change-of-base formula and a calculator to evaluate the $\begin{array}{c} \log _{5} 60 \\ \log _{5} 60 \approx \end{array}$ $\square$ (Simplify your answer. Round to three decimal places as needec

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Problem 27854

Use the change-of-base formula and a calculator to evaluate the logarithm. $\begin{array}{c} \log _{7} 175 \\ \log _{7} 175= \end{array}$ $\square$ (Simplify your answer. Type an integer or decimal rounded to three decimal plac

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Problem 27855

4. The Perimeter of a rectangle is 380cm. If one side is 3cm longer than 4 times the other side, what are the possible dimensions?

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Problem 27856

Simplify:? $\left(\frac{2x^2 + 5x + 2}{x + 1}\right)\left(\frac{x^2 - 1}{x + 2}\right)$

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Problem 27857

$\log_4(b-2) + \frac{1}{5}\log_4 c$
$\frac{\log_4(b-2)}{\log_4 c^{\frac{1}{5}}}$
$\log_4(b-2) \cdot \log_4 \sqrt[5]{c}$
$\log_4 \sqrt[5]{(b-2)c}$
$\log_4(b-2)\sqrt[5]{c}$

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Problem 27858

Last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago. The average temperature two Sundays ago was $T$ degrees Celsius.
Which of the following expressions could represent the average temperature last Sunday?
Choose 2 answers:
A. $1.08T$ B. $(1 + \frac{8}{100})T$ C. $T + 0.08$ D. $1.8T$ E. $T + 8$

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Problem 27859

Find the equation of the line through the points $(3,-2)$ and $(-4,12)$ . (Hint: $y=mx+b$ )

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Problem 27860

a. A landscaper pushes a lawnmower forward on flat ground with a displacement of 1000 ft with a force vector $\overrightarrow{\mathrm{F}}=\langle 26,-15\rangle$ , where the force is in pounds. How much work is done by the landscaper? b. Now, analyze the situation in part (a). If a lawnmower is being pushed by its handle, explain the components of the force vector.

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Problem 27861

Select all the equations that have a solution of 36.
A) $11g = 396$
B) $\frac{h}{12} = 3$
C) $-210 = -6j$
D) $\frac{k}{2} = -18$
E) $-9 = \frac{m}{-4}$

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Problem 27862

$\begin{array}{c} \log _{0.1} 10 \\ \log _{0.1} 10 \approx \end{array}$ $\square$ (Simplify your answer. Type an integer or decimal roun

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Problem 27863

Write the expression using only common logarithms. Assume $x$ and $\begin{array}{c} \log _{1 / 89}(x+y) \\ \log _{1 / 89}(x+y)= \end{array}$ $\square$ (Type an exact answer.)

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Problem 27864

Describe how to transform the graph of $g(x)=\ln x$ into the graph of the function given below. Sketch the graph by hand and support with a grapher. $f(x)=\log _{1 / 19} x$
Describe how to transform the graph of $g(x)=\ln x$ into the graph of the given function. Select the correct choife below and fill in the answer box to complete your choice. (Simplify your answer. Type an integer or decimal rounded to three decimal places as needed.)
Reflect across the $x$ -axis, then vertically shrink by A. a factor of $\square$ . B. Horizontally shrink by a factor of $\square$ . C. Vertically shrink by a factor of $\square$ $\square$ . D. Horizontally stretch by a factor of $\square$ . E. Vertically stretch by a factor of $\square$ . F. a factor of $\square$ . View an example Get more help - Cle:

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Problem 27865

$\text{Given the coordinates of two points } (105, 120) \text{ and } (102, 100), \text{ find the equation of the line in slope-intercept form.}$ $\text{Use the formula for the slope } m = \frac{y_2 - y_1}{x_2 - x_1} \text{ to find the slope of the line.}$ $\text{Then, use one of the points to solve for the y-intercept } b \text{ by substituting the values into the equation } y = mx + b.$

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Problem 27866

Simplify the following expression. $3(x-3)+(x-2)(x-1)$

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Problem 27867

Naomi practices the piano 770 minutes in 2 weeks. If $t$ represents the total time she practices for any number of days, $d$ , write a proportional equation for $t$ in terms of $d$ that matches the context.
Answer Attempt 1 out of 2 $t=$ $\square$ Submit Answer

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Problem 27868

$6^{45} \cdot 6^{21} =$
$(7^{11})^7 =$
$\frac{8^{23}}{8^{24}} =$
$17^9 \cdot 17^{-5} =$
$\frac{25^{34}}{25^{32}} =$
$(4^{-8})^{-1} =$
$(\frac{4}{7})^{-3} =$
$5^{-3} =$
$(\frac{3}{7})^0 =$
$\frac{(5^3)^7}{5^6 \cdot 5^{10}} =$
$(n^4)^3 =$
$(64m^4)^{\frac{1}{2}} =$
$(9a^8)^{\frac{3}{2}} =$
$2m^2 \cdot 4m^{\frac{1}{2}} \cdot 2m^{\frac{3}{2}} =$
$(27a^{\frac{1}{3}})^{\frac{2}{3}} =$
$\frac{6x^{\frac{3}{2}}}{2x^{\frac{1}{2}}} =$

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Problem 27869

For $f(x) = x^2$ and $g(x) = x^2 + 4$ , find the following composite functions and state the domain of each.
(a) $f \circ g$ (b) $g \circ f$ (c) $f \circ f$ (d) $g \circ g$

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Problem 27870

$(x^4 y^3 z^2)^3$ $x^1 y z^{-1}$ $x^3 y^3 z^3$ $x^7 y^6 z^5$ $x^{12} y^9 z^6$ $x^{15} y^{10} z^9$ Simplify

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Problem 27871

$2x^2 - 7 = -7$ $x^2 = 0$ Solution(s):

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Problem 27872

16. $\log h^3 - \log h^4$

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Problem 27873

Determine the remainder for the following divisions using the remainder theorem. If the divisor is a factor of the dividend, so state. $(x^3 - 4x^2 + 6x - 4) \div (x - 2)$ When $x^3 - 4x^2 + 6x - 4$ is divided by $x - 2$ , the remainder is $\square$ .

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Problem 27874

Simplify. $-4(3x^4)^3$ What is the coefficient: What is the exponent:

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Problem 27875

One root of $f(x)=2 x^{3}+9 x^{2}+7 x-6$ is -3 . Explain how to find the factors of the polynomial. $\square$ RETRY

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Problem 27876

A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Which equation can we use to find $p$ , the total number of penguins living in the building?
Choose 1 answer: (A) $3 \times 6 \times(4+3)=p$ (B) $(4 \times 6)+(3 \times 6) \times 3=p$ (c) $(4 \times 6)+(3 \times 6)+(3 \times 6)=p$

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Problem 27877

Juan wants to earn at least $\$ 57$ trimming trees. He charges $\$ 7$ per hour and pays $\$ 6$ in equipment fees. What are the possible numbers of hours Juan could trim trees?
Use $t$ for the number of hours. Write your answer as an inequality solved for $t$ . $\square$

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Problem 27878

1. A copper wire has a resistivity of $1.68 \times 10^{-8} \Omega \cdot \mathrm{~m}$ at $20^{\circ} \mathrm{C}$ . The temperature coefficient of resistivity for copper is $\mathbf{0 . 0 0 3 9 3}$ per ${ }^{\circ} \mathrm{C}$ , calculate the resistivity of the wire at $50^{\circ} \mathrm{C}$ .

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Problem 27879

20. Simplify the following expression $4\sqrt{192} - \sqrt{147} + 5\sqrt{75}$

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Problem 27880

1. Calculate the average drift velocity of electrons when a current of 1.5 A is passing through a silver wire of $1.0 \mathrm{~mm}^{2}$ cross-sectional area

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Problem 27881

Solve. $25 x^{4}-15 x^{2}+2=0$

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Problem 27882

Convert the equations to Vertex Form: $y=x^{2}+6 x+10 \quad y=-2 x^{2}-12 x+8$

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Problem 27883

Find the value of $f(7)$ . $y = f(x)$

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Problem 27884

Score on last try: 1 of 2 pts. See Details for more.
Next question Get a similar question You can retry this question below
Find the zeros and fully factor $f(x) = x^3 + 9x^2 + 25x + 21$ , including factors for and non-real zeros. Use radicals, not decimal approximations.
The zeros are | |

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Problem 27885

Back to Home Score: 10/15 Penalty: 1 off
Mis Identifying sequences practice ues December 19 at B.09 AM rades $67 \%$
Distingults) Arithmetic vo, Gemetrics Sequences
Answer Altempt 2 out of 2
This is $\square$ an arithmetic sequence and the common difference $\square$ is equal to $\square$ 5 . $19,14,9, \ldots$
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. (O) Watch Video Show Examples
Question $\square$ $\square$

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Problem 27886

Subtract. $(3q^2 + 6q + 3) - (3q + 3)$

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Problem 27887

7 A nutrition label states that there ore 36 g of carbohydrates in each serving. This accounts for $12 \%$ of the daily value. How many grams of carbohydrates are recommended per day?

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Problem 27888

34. Let $V$ and $W$ be two subspaces of $\mathbb{R}^{n}$ . (a) Is $V \cap W$ a subspace of $\mathbb{R}^{n}$ ? (b) Is $V \cup W$ a subspace of $\mathbb{R}^{n}$ ?

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Problem 27889

Factor the expression:
$9 r^{3} s^{2} - 30 r s^{3}$

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Problem 27890

Use logarithms to solve. Answer exactly. $e^{a-12} - 2 = -39$ $a =$ No Solution Question Help: VIDEO

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Problem 27891

Add. The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\frac{2}{x-4} + \frac{9}{x+3} =$

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Problem 27892

Solve the equation. $15(x+2)^{4}-17(x+2)^{2}=-4$

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Problem 27893

Simplify the expression. $\frac{2 x^{2}-9 x+4}{2 x-1}$
Select the correct choice below and fill in any answ A. $\frac{2 x^{2}-9 x+4}{2 x-1}=$ $\square$ (Simplify your answer.) B. The expression cannot be simplified.

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Problem 27894

Simplify the expression. $\frac{4 x-4}{3 x-15}$
Select the correct choice below and fill in any A. $\frac{4 x-4}{3 x-15}=$ $\square$ B. The expression cannot be simplified.

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Problem 27895

Question 1 of 10 Find the factorization of the polynomial below. $81 x^{2}+72 x+16$ A. $(9 x+4)(9 x-4)$ B. $(9 x+8)(9 x+8)$ C. $(9 x+8)(9 x-8)$ D. $(9 x+4)(9 x+4)$

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Problem 27896

Yuri thinks that $\frac{3}{4}$ is a root of the following function. $q(x)=6 x^{3}+19 x^{2}-15 x-28$
Explain to Yuri why $\frac{3}{4}$ cannot be a root.

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Problem 27897

Question 2 of 10 Which of the following are solutions to the equation below?
Check all that apply. $(2 x+3)^{2}=10$ A. $x=$ B. $x=$ C. $x=\quad+$ D. $x=$ E. $x=-\quad+$ F. $x=-$

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Problem 27898

2: Convert to slope-intercept form: $12 x+2 y=6$

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Problem 27899

Practice 6 In compressing a gas, $355$ J of work is done on the system. At the same time, $185$ J of heat escapes from the system. What is $\Delta U$ for the system?

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Problem 27900

10 Multiple Choice 1 point Simplify the exponential expression. $(-4x^4y^7)^2$ $-16x^8y^{14}$ $16x^8y^{14}$ $16x^6y^9$ $-4x^8y^{14}$ Clear my selection

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Algebra

Problem 27801

What does the transformation g(x)=3f(x)g(x)=3 f(x)g(x)=3f(x) do to the function fff?

Problem 27802

Let the number of eighth graders be xxx. Then, 5x−3=125x - 3 = 125x−3=12. Find xxx.

Problem 27803

The library had 56 books on Friday, which is 8 less than 4 times Thursday's circulation. Find Thursday's circulation: F=56T=?4T−8=56F=56 \quad T=? \quad 4T-8=56F=56T=?4T−8=56

Problem 27804

Write the linear equation y=2x+5y=2 x+5y=2x+5 in function notation.

Problem 27805

Write the linear equation y=13x−4y=13 x-4y=13x−4 in function notation.

Problem 27806

A salesman makes 0.0025r0.0025 r0.0025r of revenue. A soccer team won 45%45\%45%, lost 40%40\%40%, and tied 3. Total games? Mary spends 60%60\%60% of \$300 for a camera at 25\% off. Original price?

Problem 27807

Santos won \$50, which is \$10 more than twice the third-place prize. Find the third-place prize amount.

Problem 27808

A coat costs ddd dollars, on sale for 20% off, plus 5% tax. What is the total cost? A) 0.84d0.84 d0.84d B) 0.85d0.85 d0.85d C) 1.05d1.05 d1.05d D) 1.25d1.25 d1.25d

Problem 27809

Find the equation of line LLL in point-slope form, parallel to y=−2xy=-2xy=−2x and through (3,4).

Problem 27810

Write the equations in point-slope and slope-intercept forms for the given points and lines in Exercises 5-8.

Problem 27811

Determine if f(x)=x2x4+5f(x)=\frac{x^{2}}{x^{4}+5}f(x)=x4+5x2​ is even, odd, or neither. Use a graphing calculator for verification.

Problem 27812

Andrew got a 20% discount on a \$500 watch. If he spent all his savings, how much did he have before? A) \$400 B) \$1,000 C) \$1,250 D) \$4,000

Problem 27813

Andrew bought a watch for 40% of his savings after a 20% discount on a \$500 watch. How much did he have initially?

Problem 27814

Find the domain of the function f(t)=6t−23f(t)=\sqrt[3]{6 t-2}f(t)=36t−2​ in interval notation.

Problem 27815

For the reaction of 0.213 moles of CO and 0.510 moles of H₂O, find the limiting reagent and max moles of CO₂ produced.

Problem 27816

Find the average rate of change of f(x)=3xf(x)=3xf(x)=3x from x1=0x_{1}=0x1​=0 to x2=5x_{2}=5x2​=5.

Problem 27817

Solve. Show your work. No work = no credit!log⁡2(x+8)+log⁡2(x)=4\log_2(x+8) + \log_2(x) = 4log2​(x+8)+log2​(x)=4

Problem 27818

Solve the equation. x(x+3)=0x=□\begin{array}{l} x(x+3)=0 \\ x=\square \end{array}x(x+3)=0x=□​ (Use a comma to separate answers as nee

Problem 27819

Graph the following system of inequalities. y>x2−6y<−x2+3\begin{array}{l} y>x^{2}-6 \\ y<-x^{2}+3 \end{array}y>x2−6y<−x2+3​

Problem 27820

Solve for x. log⁡x2=1\log_{x}2 = 1logx​2=1

Problem 27821

Find the value of the expression tu−vt^u - vtu−v for t=2t = 2t=2, u=2u = 2u=2, and v=4v = 4v=4. Submit

Problem 27822

Find the difference 2j(x)−4g(x)2 j(x)-4 g(x)2j(x)−4g(x) 2(12x−7)−4(−3x+8)2(12 x-7)-4(-3 x+8)2(12x−7)−4(−3x+8)

Problem 27823

Problem 27824

Problem 27825

Solve the equation. 3x2−37x=−4x2−3x−24x=□\begin{array}{l} 3 x^{2}-37 x=-4 x^{2}-3 x-24 \\ x=\square \end{array}3x2−37x=−4x2−3x−24x=□​ (Use a comma to separate answers as needed.

Problem 27826

Question 15 (Mandatory) (1 point) Which function represents f(x)=−(x+5)2−4f(x) = -(x+5)^2 - 4f(x)=−(x+5)2−4 written in standard form?

Problem 27827

Problem 27828

Problem 27829

Problem 27830

Problem 27831

Problem 27832

Question 20 (Mandatory) (1 point) Determine the roots of x2−22x+121=0x^2 - 22x + 121 = 0x2−22x+121=0 to the nearest hundredth.

Problem 27833

Question 21 (Mandatory) (1 point) Determine the roots of 3.3x2+1.9x−2.4=03.3x^2 + 1.9x - 2.4 = 03.3x2+1.9x−2.4=0 to the nearest hundredth.

Problem 27834

4b+18≤−12b−14≤14−5b4b + 18 \le -12b - 14 \le 14 - 5b4b+18≤−12b−14≤14−5b

Problem 27835

2. (7+3i)−(5−6i)(7 + 3i) - (5 - 6i)(7+3i)−(5−6i)

Problem 27836

Problem 27837

Solve the system of two linear inequalities graphically.{2x+4y<−12x≥3 \begin{cases} 2x + 4y < -12 \\ x \ge 3 \end{cases} {2x+4y<−12x≥3​Step 3 of 3: Find the region with points that satisfy both inequalities.Answer 2 PointsSelect the region you wish to be shaded: OA OB OC OD

Problem 27838

Problem 27839

Problem 27840

10 Use the properties of complex numbers to simplify (9+−4)+(−9−−16)(9+\sqrt{-4})+(-9-\sqrt{-16})(9+−4​)+(−9−−16​). (A) −2i-2 i−2i (B) 18−−2018-\sqrt{-20}18−−20​ (C) 18−2i18-2 i18−2i (D) 6i6 i6i

Problem 27841

9 Solve the equation −(x−3)2−3=7-(x-3)^{2}-3=7−(x−3)2−3=7 and write the answer as a complex number in the standard form a±bia \pm b ia±bi. (A) -7 (B) −3±i10-3 \pm i \sqrt{10}−3±i10​ (C) 3±i103 \pm i \sqrt{10}3±i10​ (D) 3±10i3 \pm 10 i3±10i

Problem 27842

Problem 27843

Find the constant of proportionality kkk as a fraction in simplest form. Then enter an equation for the relationship between xxx and yyy.| yyy | xxx | |---|---| | 2 | 8 | | 4 | 16 | | 6 | 24 | | 8 | 32 |The constant of proportionality, kkk is equal to □\Box□.The equation is y=□y = \Boxy=□.

Problem 27844

Graph the function below, and analyze it for domain, range, continuity, increasing or decreas asymptotes, and end behavior. f(x)=log⁡5(125x)f(x)=\log _{5}(125 x)f(x)=log5​(125x)The domain is □\square□ (Type your answer in interval notation.)

Problem 27845

asymptotes, and end behavior. f(x)=log⁡5(125x)f(x)=\log _{5}(125 x)f(x)=log5​(125x)The domain is (0,∞)(0, \infty)(0,∞). (Type your answer in interval notation.) The range is □\square□ (Type your answer in interval notation.)

What does the transformation $g(x)=3 f(x)$ do to the function $f$ ?

Let the number of eighth graders be $x$ . Then, $5x - 3 = 12$ . Find $x$ .

The library had 56 books on Friday, which is 8 less than 4 times Thursday's circulation. Find Thursday's circulation: $F=56 \quad T=? \quad 4T-8=56$

Write the linear equation $y=2 x+5$ in function notation.

Write the linear equation $y=13 x-4$ in function notation.

A salesman makes $0.0025 r$ of revenue. A soccer team won $45\%$ , lost $40\%$ , and tied 3. Total games? Mary spends $60\%$ of \$300 for a camera at 25\% off. Original price?

A coat costs $d$ dollars, on sale for 20% off, plus 5% tax. What is the total cost? A) $0.84 d$ B) $0.85 d$ C) $1.05 d$ D) $1.25 d$

Find the equation of line $L$ in point-slope form, parallel to $y=-2x$ and through (3,4).

Determine if $f(x)=\frac{x^{2}}{x^{4}+5}$ is even, odd, or neither. Use a graphing calculator for verification.

Find the domain of the function $f(t)=\sqrt[3]{6 t-2}$ in interval notation.

Find the average rate of change of $f(x)=3x$ from $x_{1}=0$ to $x_{2}=5$ .

Solve. Show your work. No work = no credit!
$\log_2(x+8) + \log_2(x) = 4$

Solve the equation. $\begin{array}{l} x(x+3)=0 \\ x=\square \end{array}$ (Use a comma to separate answers as nee

Graph the following system of inequalities. $\begin{array}{l} y>x^{2}-6 \\ y<-x^{2}+3 \end{array}$

Solve for x. $\log_{x}2 = 1$

Find the value of the expression $t^u - v$ for $t = 2$ , $u = 2$ , and $v = 4$ . Submit

Find the difference $2 j(x)-4 g(x)$ $2(12 x-7)-4(-3 x+8)$

Solve the equation. $\begin{array}{l} 3 x^{2}-37 x=-4 x^{2}-3 x-24 \\ x=\square \end{array}$ (Use a comma to separate answers as needed.

Question 15 (Mandatory) (1 point) Which function represents $f(x) = -(x+5)^2 - 4$ written in standard form?

Question 20 (Mandatory) (1 point) Determine the roots of $x^2 - 22x + 121 = 0$ to the nearest hundredth.

Question 21 (Mandatory) (1 point) Determine the roots of $3.3x^2 + 1.9x - 2.4 = 0$ to the nearest hundredth.

$4b + 18 \le -12b - 14 \le 14 - 5b$

2. $(7 + 3i) - (5 - 6i)$

Solve the system of two linear inequalities graphically.
$\begin{cases} 2x + 4y < -12 \\ x \ge 3 \end{cases}$
Step 3 of 3: Find the region with points that satisfy both inequalities.
Answer 2 Points
Select the region you wish to be shaded: OA OB OC OD

10 Use the properties of complex numbers to simplify $(9+\sqrt{-4})+(-9-\sqrt{-16})$ . (A) $-2 i$ (B) $18-\sqrt{-20}$ (C) $18-2 i$ (D) $6 i$

9 Solve the equation $-(x-3)^{2}-3=7$ and write the answer as a complex number in the standard form $a \pm b i$ . (A) -7 (B) $-3 \pm i \sqrt{10}$ (C) $3 \pm i \sqrt{10}$ (D) $3 \pm 10 i$

Find the constant of proportionality $k$ as a fraction in simplest form. Then enter an equation for the relationship between $x$ and $y$ .
| $y$ | $x$ | |---|---| | 2 | 8 | | 4 | 16 | | 6 | 24 | | 8 | 32 |
The constant of proportionality, $k$ is equal to $\Box$ .
The equation is $y = \Box$ .

Graph the function below, and analyze it for domain, range, continuity, increasing or decreas asymptotes, and end behavior. $f(x)=\log _{5}(125 x)$
The domain is $\square$ (Type your answer in interval notation.)

asymptotes, and end behavior. $f(x)=\log _{5}(125 x)$
The domain is $(0, \infty)$ . (Type your answer in interval notation.) The range is $\square$ (Type your answer in interval notation.)

Learn with an example $\checkmark$ or Watch
Graph the line that has a slope of $\frac{1}{10}$ and includes the point $(0,1)$ . Click to select points on the graph. Submit

Use the change-of-base formula and a calculator to evaluate the $\begin{array}{c} \log _{5} 60 \\ \log _{5} 60 \approx \end{array}$ $\square$ (Simplify your answer. Round to three decimal places as needec

Use the change-of-base formula and a calculator to evaluate the logarithm. $\begin{array}{c} \log _{7} 175 \\ \log _{7} 175= \end{array}$ $\square$ (Simplify your answer. Type an integer or decimal rounded to three decimal plac

Simplify:? $\left(\frac{2x^2 + 5x + 2}{x + 1}\right)\left(\frac{x^2 - 1}{x + 2}\right)$

Find the equation of the line through the points $(3,-2)$ and $(-4,12)$ . (Hint: $y=mx+b$ )

Select all the equations that have a solution of 36.
A) $11g = 396$
B) $\frac{h}{12} = 3$
C) $-210 = -6j$
D) $\frac{k}{2} = -18$
E) $-9 = \frac{m}{-4}$

$\begin{array}{c} \log _{0.1} 10 \\ \log _{0.1} 10 \approx \end{array}$ $\square$ (Simplify your answer. Type an integer or decimal roun

Write the expression using only common logarithms. Assume $x$ and $\begin{array}{c} \log _{1 / 89}(x+y) \\ \log _{1 / 89}(x+y)= \end{array}$ $\square$ (Type an exact answer.)

Simplify the following expression. $3(x-3)+(x-2)(x-1)$

Naomi practices the piano 770 minutes in 2 weeks. If $t$ represents the total time she practices for any number of days, $d$ , write a proportional equation for $t$ in terms of $d$ that matches the context.
Answer Attempt 1 out of 2 $t=$ $\square$ Submit Answer

For $f(x) = x^2$ and $g(x) = x^2 + 4$ , find the following composite functions and state the domain of each.
(a) $f \circ g$ (b) $g \circ f$ (c) $f \circ f$ (d) $g \circ g$

$(x^4 y^3 z^2)^3$ $x^1 y z^{-1}$ $x^3 y^3 z^3$ $x^7 y^6 z^5$ $x^{12} y^9 z^6$ $x^{15} y^{10} z^9$ Simplify

$2x^2 - 7 = -7$ $x^2 = 0$ Solution(s):

16. $\log h^3 - \log h^4$

Simplify. $-4(3x^4)^3$ What is the coefficient: What is the exponent: