Algebra

Problem 28001

Consider the line $5 x+2 y=7$ What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?
Slope of a perpendicular line $\square$
Tolope of a pat alicilime

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Problem 28002

Score: 1/5 Penalty: 1 off
Question Watch Video Show Examples
Value Equations (Basic) L1
Value Inequalities (Level 1)
Value Equations (Basic) L2 ts \& Graph Absolute Value (No Table Given) $4=|-3 a+4|$
Solve for all values of $a$ in simplest form.
Answer Attempt 2 out of 2 ( $\oplus$ Additional Solution $\Theta$ Remove Solution $a=0$ $\square$ $a=$ Submit Answer Still Stuck? Log Out

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Problem 28003

Consider the following functions.
$f(x) = x$ and $g(x) = x^2 - 14$
Step 2 of 4: Find $(f - g)(-2)$ .
Answer How to enter your answer (opens in new window)
$(f - g)(-2) =$

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Problem 28004

1 Matching 2 points
The equation $5\left(\frac{1}{3}\right)^{3 x-1}=10$ is rewritten in the form $\log _{b} d=c$ . Find b, d, and c. b $\square$ $\qquad$ c $\square$ $\qquad$ d $\square$

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Problem 28005

1، a. Identify all possible zeros of the function $P(x)=3+x^{2}-8 x+4$ . b. Use a graphing calculator to prove one of the zeros. SHOW ALL WORK!!! c. Use factoring to find the remaining zeros. SHOW ALL WORK!!!

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Problem 28006

$\left(-3 x^{3}+7 x^{2}+4 x-1\right):(x-3)$
Cociente Resto

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Problem 28007

2. Factor Completely. $x^2 + 2x - 35$

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Problem 28008

Efectủa la siguiente división: $\left(-x^{3}-6 x^{2}-5 x\right):(x+2)$
Cociente Resto

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Problem 28009

$3 x-2=4 y+5$

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Problem 28010

5 VAT (Use with 18.5) 1 Where Hakim lives the VAT is $15 \%$ . How much must he pay for a movie that is priced at $\$ 60$ (before VAT)?
2 A dress costs \ $195.50, including 15\% VAT. What is the cost before the VAT is added? 3 A$ \ $100$ shirt was discounted $15 \%$ . VAT of $15 \%$ was added to the sale price. What was the final cost of the shirt?
6 Hire purchase (Use with 18.6) 1 An item purchased on hire purchase had 29\% added to the original cost. If the cash price was $\$ 600$ , what was the hire purchase price?
2 Suzanne bought a music player on hire purchase by paying $\$ 1$ down, and 12 payments of $\$ 52$ . What was her total cost?
7 Exchanging currency (Use after 18.7) 1 Amal paid $T T \$ 39.10$ for lunch in Trinidad, and Che paid $B B \$ 14$ for a similar lunch in Barbados. If the rate of exchange was $B B \$ 1=\Pi \$ 3.20$ , who paid more for his lunch?
2 If US $\$ 1=\mathrm{BB} \$ 1.98$ , how many US dollars is BB $\$ 118.80$ ?

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Problem 28011

$8 + \boxed{\phantom{12}} \cdot 4 = 56$
Calculate the number that should go in the box below.

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Problem 28012

6. 1. Evaluate the following for $f(x)=\left\{\begin{array}{cc}3 x-5, & x \geq 2 \\ x^{2}, & x<2\end{array}\right.$ a) $f(-5)$ b) $f(2)$ c) $f(5)$

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Problem 28013

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

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Problem 28014

4. $(2 + 3i) - (5 - 2i)$ $i$ $3i$ 5 10 $15i$ $-10i$ $-9i$ $-6i^2$

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Problem 28015

2. If two lemons cost 15 pence how many can be bought for 60 pence?
ten
six eight nine seven
3. Which one of the following words means most nearly the opposite of RANDOM? (remember, financial suitable extravagant systematic relevant
4. In the following line of letters, what letter follows the seventh $E$ ?
BEFBEBIEFSEEDPFESJEEJDEDEPJET B S D
5. What should be the next number in the following series?
3 6 4 7 5 8 ? 3 5 6 7 8
6. ETHNIC is to IRISH as RELIGIOUS is to race Christian persecute worship prejudice

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Problem 28016

Use the Power Property of Logarithms to write each logarithm as a product of logarithms. Simplify, if possible. a) $\log _{12} 8^{7}=$ $\square$ b) $\log \left(x^{7}\right)=$ $\square$

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Problem 28017

Find an equation for the graph shown $y(x)=$ Question Help: Video Message instructor Submit Question

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Problem 28018

What is the output of the function machine shown below when the input is 5 ? $\begin{array}{l} \text { Input } \\ 5 \rightarrow-9 \times 5 \rightarrow ? \end{array}$ Output

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Problem 28019

Expand the logarithm fully using the properties of logs. Express the final answer in terms of $\log{x}$ , $\log{y}$ , and $\log{z}$ .
$\log{\frac{y}{\sqrt[3]{zx^5}}}$

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Problem 28020

Solve for $x$ and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( $\varnothing$ ), leave the number line blank. $3 x-2 \leq-26 \text { and } 3 x-2<31$

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Problem 28021

For the given functions, $f(x) = x^2 + 3$ and $g(x) = 5x - 3$ , find the indicated composition. Write your answer by filling-in the blanks.
a. $(f \circ g)(x) =$
b. $(f \circ g)(4) =$
Moving to another question will save this response.
Question 21 of 23

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Problem 28022

Solve for $x$ and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( $\varnothing$ ), leave the number line blank. $2 x+10 \geq 30 \text { or } 2 x+10>34$

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Problem 28023

What is the range of this function? (3, 6) (10, 9) (-3, 3) (0, 10) (4, 5) (-2, 1) \{-1, 3, 5, 6, 9, 10\} \{-3, -2, 0, 3, 4, 10\} \{0, 2, 3, 4, 10\} \{1, 3, 5, 6, 9, 10\}

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Problem 28024

Divide using long division. $\frac{3x^4 + 3x^3 + 3x - 5}{x - 4}$ Enter the quotient (without the remainder).
Quotient:
Enter the remainder. For example, if the remainder is 10, enter 10. If there is no remainder, enter 0.
Remainder:

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Problem 28025

Find the first four terms of the sequence defined below, where $n$ represents the position of a term in the sequence. Start with $n = 1$ .
$a_n = -7n^2 - 6n - 10$

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Problem 28026

Solve the inequality and graph the solution on the line provided. $2 x+16<2$

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Problem 28027

6. Bebe completed the X-puzzle to the right to factor the trinomial $x^2 + 6x + 5$ , and writes the factors $(x + 3)(x+2)$ . However, when she checks her work by multiplying $(x+3)(x+2)$ , she finds that they're equal to $x^2 +5x+6$ instead of her original trinomial. What did Bebe do wrong?
A. Bebe created the X-puzzle incorrectly. B. Bebe solved the X-puzzle incorrectly. C. Bebe wrote the bubble factors from the X-puzzle incorrectly. D. Bebe checked her factored result incorrectly. Greatest Common Factor

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Problem 28028

$-20+5 x<-30$
Answer Attempt 1 out of 2 $\square$ $\square$ $\square$ $\square$ or
Inequality Notation: $\square$ Number Line: Submit Answer

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Problem 28029

Find the value of $5^{2}+(6-2)^{2}$

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Problem 28030

$49b = 0$ $b = 0$ Add 18 to both sides Subtract 18 from both sides Multiply both sides by 18 Divide both sides by 18 Apply the distributive property

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Problem 28031

Emmy's space shuttle crew accidentally left her behind on a mysterious planet. She soon realizes that her body is aging much faster on this planet than it did on Earth.
The graph shows the proportional relationship between the number of weeks Emmy spends on the planet, $x$ , and the number of years she ages, $y$ .
What does the point $D$ represent? Emmy's body has aged 8 years after 20 weeks on the planet.
Emmy's body has aged 20 years after 8 weeks on the planet.

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Problem 28032

Liam loves to read and discuss books, so he joined a book club. The first book he read as a member of the club was a novel set in ancient Rome. The graph shows the proportional relationship between the time Liam has spent reading the novel (in hours), $x$ , and the number of pages he has read, $y$ .
What does the point $S$ represent? In 25 hours, Liam reads 1 page of the novel.
In 1 hour, Liam read 25 pages of the novel.

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Problem 28033

Write a polynomial function in standard form with real coefficients whose zeros include 2, 10i, and -10i.
A polynomial function with zeros 2, 10i, and -10i is $f(x) = x^3 - \Box x^2 + \Box x - \Box$ .

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Problem 28034

4. On Monday, the value of a checking account was \$65. The value began dropping \$17 every day for 12 days. What was the value after 12 days?

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Problem 28035

Find all values of $m$ for which the equation has two complex (non-real) solutions.
$4v + (m + 3) = -5v^2$
Write your answer starting with $m$ , followed by an equals sign or inequality symbol (for example, $m < 5$ ). Reduce all fractions.

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Problem 28036

Name: $\qquad$
1. (8 points) The function $f(x)=A 2^{x / 0}$ is shown below: $\begin{array}{l} f(O)=A 2^{O / C} \\ \begin{array}{l} A A_{1}^{\circ} \\ A .1 \end{array} \\ 2=A \cdot \frac{1}{1} \\ 2=A \\ 2=A \cdot 2^{(0, c)} \\ \text { frome } \\ \begin{array}{l} 4=2 \cdot 2^{(3 / c)} \\ \frac{1}{2}=\frac{1}{2} \end{array} \\ \begin{array}{l} \overline{2}=\sum_{2} \\ 2=2 \end{array} \\ \log _{2}(2)=\log _{2} \\ \frac{c}{1} \cdot \frac{1}{1}=\frac{3}{6} \cdot \frac{c}{1} \\ \frac{c}{1}=\frac{3}{1} \quad c=3 \end{array}$
Answer each question below. You do not need to show your work. (a) (2 points) What is the value of $A$ ? (A) -1 (B) 0 (C) 1 (15) 2 (E) 3 (b) (2 points) What is the value of $c$ ? (A) -1 (B) 0 (C) 1 (D) 2 (c) (2 points) Evaluate $f(6)$ . (A) 6 (B) 7 (D) 9 (E) 10 d) (2 points) Evaluate $f^{-1}(16)$ . (A) 6 (B) 7 (C) 8 (E) 10

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Problem 28037

Graph the line with the equation $y = x - 4$ .

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Problem 28038

Question Graph the line with the equation $y = \frac{2}{5}x + 3$ .

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Problem 28039

b. $(-10+i)(3-9 i)$ c. $(3-4 i)-(-5-2 i)$

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Problem 28040

Question Graph the line with the equation $y = \frac{2}{5}x + 1$ .

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Problem 28041

Solve each equation. Remember to check for extraneous solutions.
11) $\frac{a-6}{6a^2} = \frac{1}{6a^2} + \frac{a+5}{3a^2}$

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Problem 28042

Graph the line with the equation $y = -\frac{2}{5}x + 1$ .

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Problem 28043

Graph the line with the equation $y = -\frac{1}{3}x - 5$ .

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Problem 28044

7.5.IP-11 Caitlyn is tiling her kitchen wall with two types of traditional hand-painted Mexican tiles. If she uses 58 flower tiles, how many sun tiles does she need to maintain the pattern?
Flower Tiles | Sun Tiles ---|--- 30 | 15 38 | 19 42 | 21 58 | ?
She needs $\boxed{}$ sun tiles to maintain the pattern. (Type a whole number.) Enter your answer in the answer box and then click Check Answer. All parts showing Question Help Clear All Check Answer

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Problem 28045

Graph this line using intercepts: $7x - y = -7$ Click to select points on the graph.

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Problem 28046

5. Chris is on vacation at a lake house for the weekend and decided to rent a canoe for the day. If they charge a $\$10$ service fee plus $\$38$ per hour, and he can spend at most $\$200$ , how many hours can he rent the canoe?

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Problem 28047

$\begin{aligned}(-5,2) ; y & =-x-3 \\ y & =3 x+10\end{aligned}$

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Problem 28048

$\left\{\begin{array}{l}8 x-7 y=-21 \\ x+y=-12\end{array}\right.$

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Problem 28049

64 is 4 times the difference between Sarah's age, $a$ , and 44. Assume Sarah is older than 44.
Write an equation to determine Sarah's age (a). $\square$ Find Sarah's age. $\square$

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Problem 28050

4. What value of $r$ makes this equation true? $336 \div r=48$ a. 7 b. 6 c. 8 d. 9

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Problem 28051

Use the Binomial Theorem to expand the binomial: $\left(2 x^{-1}-y^{-1}\right)^{4}$ Submit Question

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Problem 28052

Natasha needs to save \$479.58 for a vacation. She has saved \$149.88, and earns \$7.85 an hour helping at the playground. How many hours must she work to meet her goal?

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Problem 28053

On Monday, Josh went to the Farmer's Market. He bought 5 peaches and 2 watermelons for $\$ 7.75$ . On Thursday, Josh went back to the Farmer's Market and bought 3 peaches and 4 watermelons for $\$ 10.95$ . Which of the following systems of equations can be used to determine the cost for one peach $(\rho)$ and one watermelon ( $w$ )? A. $5 p \times 2 w=\$ 7.75$ B $\begin{array}{l}5 w \times 2 p=\$ 7.75 \\ 3 w \times 4 p=\$ 10.95\end{array}$ $5 p+2 w=\$ 7.75$ $3 p+4 w=\$ 10.95$ D. $5 w+2 p=\$ 7.75$ $3 w+4 p=\$ 10.95$ D.

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Problem 28054

Challenge: A 3 kg model airplane is traveling at a speed of 33 m/s. The operator then increases the speed up to 45 m/s in 2 seconds. How much force did the engine need in order to make this change?

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Problem 28055

What is the sum of the rational expressions below? $\frac{2x+3}{3x} + \frac{x}{x+1}$
A. $\frac{3x^2+2x+4}{4x+1}$ B. $\frac{3x+3}{4x+1}$ C. $\frac{2x^2+3x}{3x^2+3x}$ D. $\frac{5x^2+5x+3}{3x^2+3x}$

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Problem 28056

Find the equation of the line that contains the point $(-2,-1)$ and is perpendicular to the line $2 x+3 y=9$ . Write the line in slope-intercept form, if possible. Graph the lines.
Select the correct choice below and fill in the answer box to complete your choice. A. The equation of the perpendicular line in slope-intercept form is $\square$ $\square$ . (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.) B. The equation of the perpendicular line cannot be written in slope-intercept form. The equation of the perpendicular line is $\square$ $\square$ . (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 28057

$(8a^7) \div (4a^3) =$

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Problem 28058

According to the graph, what is the value of the constant in the equation below?
Height = Constant $\cdot$ Width
(1, 1.5) (2, 3) (4, 6) (6, 9)
A. 0.667 B. 1.5 C. 3 D. 2

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Problem 28059

$(15c^7) \div (3c^9) = \Box c^{\Box}$

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Problem 28060

For the polynomial function $f(x) = x^2(x - 2)^3(x + 4)$ , answer parts a through e.
a. Use the Leading Coefficient Test to determine the graph's end behavior. Which of the following is the correct statement about the end behavior of the given function?
A. The graph falls to the left and to the right. B. The graph rises to the left and to the right. C. The graph rises to the left and falls to the right. D. The graph falls to the left and rises to the right.

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Problem 28061

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

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Problem 28062

Two roots of the polynomial function $f(x)=x^{3}-7 x-6 \text { are }-2 \text { and } 3$
Use the fundamental theorem of algebra and the complex conjugate theorem to determine the number and nature of the remaining root(s). Explain your thinking. DONE

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Problem 28063

Factor $15 w^{2}-6 w^{3}$

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Problem 28064

Solve for $x$ :
$10^{5x-10} = 7^{2x-5}$
$x =$
You may enter the exact value or round to 4 decimal places.

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Problem 28065

Find the Value of $x$ :- $3^{2 x-6}=10^{2 x-6}$

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Problem 28066

10. Are $9x \cdot 8$ and $81x$ equivalent expressions? Explain.

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Problem 28067

Solve the following inequality: $3n < \frac{5n+28}{4}$

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Problem 28068

The graph to the right is a complete graph, that is, it is continuous and displays the function's end behavior. All zeros are integers. Answer the following questions.
$[-6, 6, 1]$ by $[-100, 10, 10]$
(a) List the zeros whose multiplicity is even. Select the correct choice below and fill in any answer boxes within your choice.
A. ▢ (Type an integers or a simplified fractions. Use a comma to separate answers as needed.)
B. There are no such zeros. View an example Get more help

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Problem 28069

For the functions $f(x)=\frac{x}{x+1}$ and $g(x)=\frac{11}{x}$ , find the composition $f \circ g$ and simplify your answer as much as possible. Write the dor notation. $(f \circ g)(x)=$ $\square$
Domain of $f \circ g$ : $\square$

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Problem 28070

The graph to the right is a complete graph, that is, it is continuous and displays the function's end behavior. All zeros are integers. Answer the following questions. $[-6, 6, 1] \text{ by } [-100, 10, 10]$ A. $-2, 4$ (Type an integers or a simplified fractions. Use a comma to separate answers as needed.) B. There are no such zeros.
List the zeros whose multiplicity is odd. Select the correct choice below and fill in any answer boxes within your choice. A. $-1, 1$ (Type an integers or a simplified fractions. Use a comma to separate answers as needed.) B. There are no such zeros.

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Problem 28071

11. [6/7 Points]
DETAILS MY NOTES SCOL
Find the factors that are common in the numerator and the $r(x)=\frac{x^{2}+8 x-9}{x^{2}+3 x-4}$

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Problem 28072

A certain number of gallons of $25 \%$ acid solution is to be mixed with a certain number of gallons of $15 \%$ acid solution to make 10 gallons of $18 \%$ acid solution. How many gallons of $25 \%$ solution, $x$ , and how many gallons of $15 \%$ solution, $y$ , are needed to make the 10 gallons of $18 \%$ acid solution?

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Problem 28073

Quadratic Equations Unit Test Part 1
Which of the following quadratic equations is not solvable by grouping?
$2x^2 - 2x - 10 = 0$
$2x^2 + 14x + 12 = 0$
$x^2 - 2x + 1 = 0$
$x^2 - 12x + 35 = 0$

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Problem 28074

Use the tables to answer the question. Jamal Step 1: Set equation $=0$ . Step 2: Write quadratic equation as the product of two factors. Step 3: Set each factor equal to $0$ . Step 4: Solve each equation.
$x^2 + 4x - 12 = 0$ $(x+6)(x-2) = 0$ $x+6=0$ and $x-2=0$ $x=-6$ and $x=2$
George Step 1: Begin with the equation. Step 2: Write quadratic equation as the product of two factors. Step 3: Set each factor equal to $0$ . Step 4: Solve each equation.
$x^2 + 4x - 5 = 7$ $(x+5)(x-1) = 7$ $x+5=0$ and $x-1=0$ $x=-5$ and $x=1$
When trying to solve the quadratic equation $x^2 + 4x - 5 = 7$ , Jamal and George each provided their work in the tables. Each said they used the Zero Product Property to solve the equation after step 2. Explain how you know the correct student's solution is accurate and how you know the incorrect student's solution is inaccurate.

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Problem 28075

18. Use Structure Teresa placed parentheses in the expression below so that its value was greater than 80 . Write the expression to show where Teresa might have placed the parentheses. $10.5+9.5 \times 3-1 \times 2.5$

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Problem 28076

nplify $\frac{(3.5)^{-6}(3.5)^{5}}{(3.5)^{-1}}$ . Writ

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Problem 28077

Find the exact value of the logarithm without using a calculator. $\log _{5} 25$ $\log _{5} 25=$ $\square$ (Type an integer or a simplified Trabtion))

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Problem 28078

Solve each system of equations a. $3x^2 + x - 3y = -8$ $x + 3y = 9$

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Problem 28079

Inverse?
21. a) $y=\sqrt[3]{x}$

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Problem 28080

Find the value of the determinant. $\left|\begin{array}{ll} -1 & 3 \\ -5 & 3 \end{array}\right|$
The value of the determinant is $\square$

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Problem 28081

Solve the equation using the quadratic formula. $x^{2}-4 x+8=0$
The solution set is $\square$ \}. (Simblify vour answer. Type an exact answer, usin

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Problem 28082

Write the first four terms of the sequence defined by $a_{n}=n^{2}+1$ .

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Problem 28083

Inverse. b) $y=3(2)^{x}$

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Problem 28084

29. $\quad 6^{n-2}=50$

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Problem 28085

Solve the system by elimination. $\begin{array}{l} 2 x+5 y=16 \\ 3 x-5 y=-1 \end{array}$
The solution is $\square$ $\square$ ).

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Problem 28086

Subtract $\left(6 a^{3}-\frac{5}{2} a+9\right)$ from $\left(-7 a^{2}+10 a-15\right)$ .
The result is $\square$

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Problem 28087

Multiply the polynomials. $(y-9)(y-5)=$

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Problem 28088

$A = \frac{1}{2}bh$ Area of the triangle = $8$ ft $^2$ $8 = \frac{1}{2}(x+1)(3x-7)$ $3x^2 - 7x + 3x - 7$ $\frac{1}{2}(3x^2 - 4x - 7)$ $(3x - 7)$ ft $x = 1.4$ cannot be negative $(x + 1)$ ft

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Problem 28089

2) $\frac{7x^2 + 35x}{x + 5}$

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Problem 28090

Solve for $v$ .
$\frac{4}{5v - 20} - 3 = -\frac{8}{v - 4}$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

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Problem 28091

Question Watch Video
Write the log equation as an exponential equation. You do not need to solve $\log _{2 x}\left(x^{2}-3 x+14\right)=3$
Answer Attempt 1 out of 2

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Problem 28092

6) $7 v+8(7 v-8)=-379$

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Problem 28093

$x \cdot \log_{x} 12 = \log_{x} 75 - 2$

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Problem 28094

Suppose that the functions $g$ and $h$ are defined as follows. $\begin{array}{l} g(x)=x+7 \\ h(x)=(x-6)(x+6) \end{array}$ (a) Find $\left(\frac{g}{h}\right)$ (2). (b) Find all values that are NOT in the domain of $\frac{g}{h}$ .
If there is more than one value, separate them with commas. (a) $\left(\frac{g}{h}\right)(2)=$ $\square$ (b) Value(s) that are NOT in the domain of $\frac{g}{h}$ :

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Problem 28095

8. $13.27=t-24.45$

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Problem 28096

Complete the table for the function $y=-2x+3$ for $x = -2, -1, 2, 4$ .

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Problem 28097

Rita's score $R$ is 9 more than 4 times Milan's score $M$ . Write the expression for $R$ .

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Problem 28098

What number is 28% of if 48% of 28 equals that number? A) 3.76 B) 13 C) 48 D) 58.3

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Problem 28099

The equation is $10z + 4 = 144$ . Solve for $z$ to find the number.

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Problem 28100

Factor the expression: $2x^{2} - 15xy + 28y^{2}$ .

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1 ...278 279 280 281 282 283 284 ...313

Algebra

Problem 28001

Consider the line 5x+2y=75 x+2 y=75x+2y=7 What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?Slope of a perpendicular line □\square□Tolope of a pat alicilime

Problem 28002

Problem 28003

Consider the following functions.f(x)=xf(x) = xf(x)=x and g(x)=x2−14g(x) = x^2 - 14g(x)=x2−14Step 2 of 4: Find (f−g)(−2)(f - g)(-2)(f−g)(−2).Answer How to enter your answer (opens in new window)(f−g)(−2)=(f - g)(-2) =(f−g)(−2)=

Problem 28004

1 Matching 2 pointsThe equation 5(13)3x−1=105\left(\frac{1}{3}\right)^{3 x-1}=105(31​)3x−1=10 is rewritten in the form log⁡bd=c\log _{b} d=clogb​d=c. Find b, d, and c. b □\square□ \qquad c □\square□ \qquad d □\square□

Problem 28005

1، a. Identify all possible zeros of the function P(x)=3+x2−8x+4P(x)=3+x^{2}-8 x+4P(x)=3+x2−8x+4. b. Use a graphing calculator to prove one of the zeros. SHOW ALL WORK!!! c. Use factoring to find the remaining zeros. SHOW ALL WORK!!!

Problem 28006

(−3x3+7x2+4x−1):(x−3)\left(-3 x^{3}+7 x^{2}+4 x-1\right):(x-3)(−3x3+7x2+4x−1):(x−3)Cociente Resto

Problem 28007

2. Factor Completely. x2+2x−35x^2 + 2x - 35x2+2x−35

Problem 28008

Efectủa la siguiente división: (−x3−6x2−5x):(x+2)\left(-x^{3}-6 x^{2}-5 x\right):(x+2)(−x3−6x2−5x):(x+2)Cociente Resto

Problem 28009

3x−2=4y+53 x-2=4 y+53x−2=4y+5

Problem 28010

Problem 28011

8+12⋅4=568 + \boxed{\phantom{12}} \cdot 4 = 568+12​⋅4=56Calculate the number that should go in the box below.

Problem 28012

6. 1. Evaluate the following for f(x)={3x−5,x≥2x2,x<2f(x)=\left\{\begin{array}{cc}3 x-5, & x \geq 2 \\ x^{2}, & x<2\end{array}\right.f(x)={3x−5,x2,​x≥2x<2​ a) f(−5)f(-5)f(−5) b) f(2)f(2)f(2) c) f(5)f(5)f(5)

Problem 28013

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

Problem 28014

4. (2+3i)−(5−2i)(2 + 3i) - (5 - 2i)(2+3i)−(5−2i) iii 3i3i3i 5 10 15i15i15i −10i-10i−10i −9i-9i−9i −6i2-6i^2−6i2

Problem 28015

Problem 28016

Use the Power Property of Logarithms to write each logarithm as a product of logarithms. Simplify, if possible. a) log⁡1287=\log _{12} 8^{7}=log12​87= □\square□ b) log⁡(x7)=\log \left(x^{7}\right)=log(x7)= □\square□

Problem 28017

Find an equation for the graph shown y(x)=y(x)=y(x)= Question Help: Video Message instructor Submit Question

Problem 28018

What is the output of the function machine shown below when the input is 5 ? Input 5→−9×5→?\begin{array}{l} \text { Input } \\ 5 \rightarrow-9 \times 5 \rightarrow ? \end{array} Input 5→−9×5→?​ Output

Problem 28019

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log⁡x\log{x}logx, log⁡y\log{y}logy, and log⁡z\log{z}logz.log⁡yzx53\log{\frac{y}{\sqrt[3]{zx^5}}}log3zx5​y​

Problem 28020

Solve for xxx and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( ∅\varnothing∅ ), leave the number line blank. 3x−2≤−26 and 3x−2<313 x-2 \leq-26 \text { and } 3 x-2<313x−2≤−26 and 3x−2<31

Problem 28021

Problem 28022

Solve for xxx and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( ∅\varnothing∅ ), leave the number line blank. 2x+10≥30 or 2x+10>342 x+10 \geq 30 \text { or } 2 x+10>342x+10≥30 or 2x+10>34

Problem 28023

What is the range of this function? (3, 6) (10, 9) (-3, 3) (0, 10) (4, 5) (-2, 1) \{-1, 3, 5, 6, 9, 10\} \{-3, -2, 0, 3, 4, 10\} \{0, 2, 3, 4, 10\} \{1, 3, 5, 6, 9, 10\}

Problem 28024

Divide using long division. 3x4+3x3+3x−5x−4\frac{3x^4 + 3x^3 + 3x - 5}{x - 4}x−43x4+3x3+3x−5​ Enter the quotient (without the remainder).Quotient: Enter the remainder. For example, if the remainder is 10, enter 10. If there is no remainder, enter 0.Remainder:

Problem 28025

Find the first four terms of the sequence defined below, where nnn represents the position of a term in the sequence. Start with n=1n = 1n=1.an=−7n2−6n−10a_n = -7n^2 - 6n - 10an​=−7n2−6n−10

Problem 28026

Solve the inequality and graph the solution on the line provided. 2x+16<22 x+16<22x+16<2

Problem 28027

Problem 28028

−20+5x<−30-20+5 x<-30−20+5x<−30Answer Attempt 1 out of 2 □\square□ □\square□ □\square□ □\square□ orInequality Notation: □\square□ Number Line: Submit Answer

Problem 28029

Find the value of 52+(6−2)25^{2}+(6-2)^{2}52+(6−2)2

Problem 28030

49b=049b = 049b=0 b=0b = 0b=0 Add 18 to both sides Subtract 18 from both sides Multiply both sides by 18 Divide both sides by 18 Apply the distributive property

Problem 28031

Problem 28032

Problem 28033

Write a polynomial function in standard form with real coefficients whose zeros include 2, 10i, and -10i.A polynomial function with zeros 2, 10i, and -10i is f(x)=x3−□x2+□x−□f(x) = x^3 - \Box x^2 + \Box x - \Boxf(x)=x3−□x2+□x−□.

Problem 28034

4. On Monday, the value of a checking account was \$65. The value began dropping \$17 every day for 12 days. What was the value after 12 days?

Problem 28035

Find all values of mmm for which the equation has two complex (non-real) solutions.4v+(m+3)=−5v24v + (m + 3) = -5v^24v+(m+3)=−5v2Write your answer starting with mmm, followed by an equals sign or inequality symbol (for example, m<5m < 5m<5). Reduce all fractions.

Problem 28036

Problem 28037

Graph the line with the equation y=x−4y = x - 4y=x−4.

Problem 28038

Question Graph the line with the equation y=25x+3y = \frac{2}{5}x + 3y=52​x+3.

Problem 28039

b. (−10+i)(3−9i)(-10+i)(3-9 i)(−10+i)(3−9i) c. (3−4i)−(−5−2i)(3-4 i)-(-5-2 i)(3−4i)−(−5−2i)

Problem 28040

Question Graph the line with the equation y=25x+1y = \frac{2}{5}x + 1y=52​x+1.

Problem 28041

Solve each equation. Remember to check for extraneous solutions.11) a−66a2=16a2+a+53a2\frac{a-6}{6a^2} = \frac{1}{6a^2} + \frac{a+5}{3a^2}6a2a−6​=6a21​+3a2a+5​

Problem 28042

Graph the line with the equation y=−25x+1y = -\frac{2}{5}x + 1y=−52​x+1.

Problem 28043

Graph the line with the equation y=−13x−5y = -\frac{1}{3}x - 5y=−31​x−5.

Problem 28044

Consider the line $5 x+2 y=7$ What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?
Slope of a perpendicular line $\square$
Tolope of a pat alicilime

Consider the following functions.
$f(x) = x$ and $g(x) = x^2 - 14$
Step 2 of 4: Find $(f - g)(-2)$ .
Answer How to enter your answer (opens in new window)
$(f - g)(-2) =$

1 Matching 2 points
The equation $5\left(\frac{1}{3}\right)^{3 x-1}=10$ is rewritten in the form $\log _{b} d=c$ . Find b, d, and c. b $\square$ $\qquad$ c $\square$ $\qquad$ d $\square$

1، a. Identify all possible zeros of the function $P(x)=3+x^{2}-8 x+4$ . b. Use a graphing calculator to prove one of the zeros. SHOW ALL WORK!!! c. Use factoring to find the remaining zeros. SHOW ALL WORK!!!

$\left(-3 x^{3}+7 x^{2}+4 x-1\right):(x-3)$
Cociente Resto

2. Factor Completely. $x^2 + 2x - 35$

Efectủa la siguiente división: $\left(-x^{3}-6 x^{2}-5 x\right):(x+2)$
Cociente Resto

$3 x-2=4 y+5$

$8 + \boxed{\phantom{12}} \cdot 4 = 56$
Calculate the number that should go in the box below.

6. 1. Evaluate the following for $f(x)=\left\{\begin{array}{cc}3 x-5, & x \geq 2 \\ x^{2}, & x<2\end{array}\right.$ a) $f(-5)$ b) $f(2)$ c) $f(5)$

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

4. $(2 + 3i) - (5 - 2i)$ $i$ $3i$ 5 10 $15i$ $-10i$ $-9i$ $-6i^2$

Use the Power Property of Logarithms to write each logarithm as a product of logarithms. Simplify, if possible. a) $\log _{12} 8^{7}=$ $\square$ b) $\log \left(x^{7}\right)=$ $\square$

Find an equation for the graph shown $y(x)=$ Question Help: Video Message instructor Submit Question

What is the output of the function machine shown below when the input is 5 ? $\begin{array}{l} \text { Input } \\ 5 \rightarrow-9 \times 5 \rightarrow ? \end{array}$ Output

Expand the logarithm fully using the properties of logs. Express the final answer in terms of $\log{x}$ , $\log{y}$ , and $\log{z}$ .
$\log{\frac{y}{\sqrt[3]{zx^5}}}$

Solve for $x$ and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( $\varnothing$ ), leave the number line blank. $3 x-2 \leq-26 \text { and } 3 x-2<31$

Solve for $x$ and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( $\varnothing$ ), leave the number line blank. $2 x+10 \geq 30 \text { or } 2 x+10>34$

Divide using long division. $\frac{3x^4 + 3x^3 + 3x - 5}{x - 4}$ Enter the quotient (without the remainder).
Quotient:
Enter the remainder. For example, if the remainder is 10, enter 10. If there is no remainder, enter 0.
Remainder:

Find the first four terms of the sequence defined below, where $n$ represents the position of a term in the sequence. Start with $n = 1$ .
$a_n = -7n^2 - 6n - 10$

Solve the inequality and graph the solution on the line provided. $2 x+16<2$

$-20+5 x<-30$
Answer Attempt 1 out of 2 $\square$ $\square$ $\square$ $\square$ or
Inequality Notation: $\square$ Number Line: Submit Answer

Find the value of $5^{2}+(6-2)^{2}$

$49b = 0$ $b = 0$ Add 18 to both sides Subtract 18 from both sides Multiply both sides by 18 Divide both sides by 18 Apply the distributive property

Write a polynomial function in standard form with real coefficients whose zeros include 2, 10i, and -10i.
A polynomial function with zeros 2, 10i, and -10i is $f(x) = x^3 - \Box x^2 + \Box x - \Box$ .

Find all values of $m$ for which the equation has two complex (non-real) solutions.
$4v + (m + 3) = -5v^2$
Write your answer starting with $m$ , followed by an equals sign or inequality symbol (for example, $m < 5$ ). Reduce all fractions.

Graph the line with the equation $y = x - 4$ .

Question Graph the line with the equation $y = \frac{2}{5}x + 3$ .

b. $(-10+i)(3-9 i)$ c. $(3-4 i)-(-5-2 i)$

Question Graph the line with the equation $y = \frac{2}{5}x + 1$ .

Solve each equation. Remember to check for extraneous solutions.
11) $\frac{a-6}{6a^2} = \frac{1}{6a^2} + \frac{a+5}{3a^2}$

Graph the line with the equation $y = -\frac{2}{5}x + 1$ .

Graph the line with the equation $y = -\frac{1}{3}x - 5$ .

Graph this line using intercepts: $7x - y = -7$ Click to select points on the graph.

5. Chris is on vacation at a lake house for the weekend and decided to rent a canoe for the day. If they charge a $\$10$ service fee plus $\$38$ per hour, and he can spend at most $\$200$ , how many hours can he rent the canoe?

$\begin{aligned}(-5,2) ; y & =-x-3 \\ y & =3 x+10\end{aligned}$

$\left\{\begin{array}{l}8 x-7 y=-21 \\ x+y=-12\end{array}\right.$

64 is 4 times the difference between Sarah's age, $a$ , and 44. Assume Sarah is older than 44.
Write an equation to determine Sarah's age (a). $\square$ Find Sarah's age. $\square$

4. What value of $r$ makes this equation true? $336 \div r=48$ a. 7 b. 6 c. 8 d. 9

Use the Binomial Theorem to expand the binomial: $\left(2 x^{-1}-y^{-1}\right)^{4}$ Submit Question

$(8a^7) \div (4a^3) =$

According to the graph, what is the value of the constant in the equation below?
Height = Constant $\cdot$ Width
(1, 1.5) (2, 3) (4, 6) (6, 9)
A. 0.667 B. 1.5 C. 3 D. 2

$(15c^7) \div (3c^9) = \Box c^{\Box}$

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

Factor $15 w^{2}-6 w^{3}$

Solve for $x$ :
$10^{5x-10} = 7^{2x-5}$
$x =$
You may enter the exact value or round to 4 decimal places.

Find the Value of $x$ :- $3^{2 x-6}=10^{2 x-6}$

10. Are $9x \cdot 8$ and $81x$ equivalent expressions? Explain.

Solve the following inequality: $3n < \frac{5n+28}{4}$

11. [6/7 Points]
DETAILS MY NOTES SCOL
Find the factors that are common in the numerator and the $r(x)=\frac{x^{2}+8 x-9}{x^{2}+3 x-4}$

Quadratic Equations Unit Test Part 1
Which of the following quadratic equations is not solvable by grouping?
$2x^2 - 2x - 10 = 0$
$2x^2 + 14x + 12 = 0$
$x^2 - 2x + 1 = 0$
$x^2 - 12x + 35 = 0$