Browse Algebra problems Studdy Solved!

Problem 22501

12) Solve the system of equations by the elimination method: $\left\{\begin{array}{l}x+4 y=13 \\ 2 x+3 y=6\end{array}\right.$ 13) Solve the system of equations by the substitution method: $\left\{\begin{array}{l}2 x-3 y=-8 \\ y=-3 x-1\end{array}\right.$

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Problem 22502

What is $x^{2}-49$ factored completely? A. $(x+7)(x-7)$ B. $(7 x+1)(7 x-1)$ C. $(x-7)^{2}$ D. $(7 x-1)^{2}$

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Problem 22503

Simplify the expression without using a calculator. $\log _{2} 2=$ $\square$ $\square \log _{8} \square$

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Problem 22504

JIUW EXdImpIE
Write the equation of the line in fully simplified slope-intercept form
Answer Attempt 1 out of 2 Submit Answer

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Problem 22505

Composites Involving Exponential Functions Find the domain and range for each of the functions in Exercis 21-24.
21. $f(x)=\frac{1}{2+e^{x}}$
22. $g(t)=\cos \left(e^{-t}\right)$
23. $g(t)=\sqrt{1+3^{-t}}$
24. $f(x)=\frac{3}{1-e^{2 x}}$

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Problem 22506

3) What is the linear equation of a line with slope $\frac{2}{3}$ and passes through the point $(-6,5)$ ?

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Problem 22507

Write the equation in logarithmic form. $5^{2}=25$
The equation in logarithmic form is $\square$ $\square \log _{\square} \square \quad \square=\square$

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Problem 22508

```latex \begin{align} &\text{1-F: } [-1,8) \rightarrow \mathbb{R} \\ &F(x) = -2x - 5 \\ &\text{Fonk. İnceleyelim (Grafik, artanlık-azalanlık, max-min, Fonk. Sıfır., Fonksiyonun işareti)} \\ &F(x) = 2 \\ &f(x) \text{ örten} \end{align}

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Problem 22509

9. Explain why rewriting $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ helps you simplify $\sqrt{50}$ , but rewriting $\sqrt{50}$ as $\sqrt{10} \cdot \sqrt{5}$ does not.

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Problem 22510

Solve the system by using Gaussian elimination or Gauss-Jordan elimination. $\begin{aligned} -3(x-3 y) & =-10-y \\ 10 y & =-2 x-10 \end{aligned}$
The solution set is $\square$ $\square$ 1)\}.

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Problem 22511

Perform the elementary row operation $-4 R_{1}+R_{3} \rightarrow R_{3}$ on the given matrix. Write numbers as integers or simplified fractions. $\left[\begin{array}{lll:l} 2 & 3 & 1 & 6 \\ 2 & 3 & 1 & 7 \\ 2 & 3 & 0 & 1 \end{array}\right]$
Resulting matrix: $\left[\begin{array}{cc:c} \square & \square & \square \\ \square & \square & \square \\ \square & \square & \square \\ \square & \square & \square \end{array}\right]$

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Problem 22512

11. Write each radical in simplest form, if possible, a) $\sqrt[3]{16}$ b) $\sqrt[3]{81}$ c) $\sqrt[3]{256}$ d) $\sqrt[3]{128}$ e) $\sqrt[3]{60}$ f) $\sqrt[3]{192}$ $3 \sqrt{135}$ h) $\sqrt[3]{100}$

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Problem 22513

5. The sum of two numbers is 29. The difference between four times the first number and the second number is 6 . Find the two numbers. let

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Problem 22514

The graph shows a function. Is the function even, odd, or neither? Use the drop-down menus to explain.
Click the arrows to choose an answer from each menu. For the function on the graph. opposite $x$ -vatues have choose:values. This shows the function is choose because its graph has Choose..

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Problem 22515

$x^{2}+7 x+3=0$

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Problem 22516

Suppose that ${ }^{O}$ partners equally share the profits from a sale of $\$ 3,600$ . Which algebraic expression represents this situation? $3600+0$ $3600-p$ 3600p $\frac{3600}{p}$

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Problem 22517

Factor the polynomial completely. $\begin{array}{l} P(x)=x^{2}+49 \\ P(x)=\square \end{array}$ $\square$ Find all its zeros. State the multiplicity of each zero. (Order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part, then smallest to largest imaginary part.) $x=$ $\square$ with multiplicity $x=$ $\square$ with multiplicity $\square$

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Problem 22518

Perform the elementary row operation $\frac{1}{2} R_{1} \rightarrow R_{1}$ on the given matrix. Write numbers as integers or simplifled fractions. $\left[\begin{array}{lll:l} 3 & 2 & 4 & 4 \\ 1 & 5 & 1 & 1 \\ 3 & 5 & 1 & 1 \end{array}\right]$
Resulting matrix: $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 22519

Perform the elementary row operation $\frac{1}{4} R_{2}+R_{1} \rightarrow R_{1}$ on the given matrix. $\left[\begin{array}{cc:c} 2 & 4 & 5 \\ 12 & 4 & 8 \end{array}\right]$
Resulting matrix:

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Problem 22520

The coefficient of $x^{2}$ in the expansion of $\left(2+\frac{x}{2}\right)^{6}+(a+x)^{5}$ is 330 . Find the value of the constant $a$ .

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Problem 22521

Ben is saving money to buy an Xbox One $S$ that costs $\$ 323$ including tax. He opens a savings account with a deposit of $\$ 75$ and deposits $\$ 55$ each week after mowing lawns. What is the minimum number of weeks Ben will need to make deposits until he has enough money in his account to buy the Xbox?
Ben will have enough money to pay for the Xbox after at least weeks.
Question Help: Message instructor
Post to forum Submit Question

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Problem 22522

Determine whether the equation defines $y$ as a function of $x$ . (See Example 9.) $3|x|+y=0$ is a function is not a function

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Problem 22523

Perform the elementary row operation $\frac{1}{3} R_{2} \rightarrow R_{2}$ on the given matrix. $\left[\begin{array}{cc:c} 1 & 3 & 2 \\ -6 & 9 & 3 \end{array}\right]$
Resulting matrix: $\square$ $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 22524

In some South Asian weddings, the groom travels to the wedding on a white horse in a procession called a baraat.
A farm charges $\$ 1,000$ to rent a horse for a baraat, which includes transporting the horse up to 15 miles to the wedding. A $\$ 2.50$ fee applies for each mile beyond the first 15. An employee represents the situation with the function $C(m)=1,000+2.50 \mathrm{~m}$ and determines that the total cost to rent a horse for a wedding 25 miles away is $\$ 1,062.50$ .
Is the employee correct? Use the drop-down menus to explain.
Click the arrows to choose an answer from each monu. The function roprosonts the situation if $\boldsymbol{m}$ is tho Chooso... The employeo should substitute chooso... $\square$ for $m$ and determine that the cost to rent and transport tho horso is chooso... - Tho omployoo
Chooso... correct.

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Problem 22525

The student photo club at the college is planning on selling prints that it makes to raise money. The profit $P$ , in dollars, from selling $x$ prints is given by the function: $P(x)=217 x-2 x^{2}$ a) Find the number of prints, to the nearest whole print, that need to be sold to maximize the profit. You must sell $\square$ prints to maximize the profit. b) The maximum profit, to the nearest dollar, is $\$$ $\square$ . (No dollar signs or comma's.)

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Problem 22526

$x+\frac{1}{2}=\frac{11}{12}$

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Problem 22527

Simplify $5 r+4 p-8 r+6$

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Problem 22528

6) $[\mathrm{AC}](12) \mathrm{A}$ lab assistant sneaks into a grizzly bear's den during the winter months and hooks up a machine to monitor the bear's lung capacity in breathing. Luckily for the lab assistant, the bear is hibernating now. The lung capacity of the bear can be modelled by a sinusoidal function. a) Explain why the breathing of a hibernating grizzly bear can be modeled by a periodic function. b) Explain the meaning of the period in the context of this situation.

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Problem 22529

Your local pizza store sells medium pizzas for $\$ 7.69$ each, and breadsticks for $\$ 3.49$ per order. For a party, you decide to order 5 pizzas and 3 orders of breadsticks. There is a $\$ 3$ delivery fee, and a $9.4 \%$ sales tax will be added to the total, including the delivery fee. What will be the total bill after tax, rounded to the nearest cent? $\$$ $\square$ Suppose you have a budget of $\$ 143.97$ to spend, and you order 14 pizzas. How many orders of breadsticks can you get, assuming the same delivery fee and sales tax? Round your answer to the nearest whole number. $\qquad$ orders of breadsticks
Suppose you have a budget of $\$ 306.79$ to spend, and you order 20 orders of breadsticks. How many pizzas can you get, assuming the same delivery fee and sales tax? Round your answer to the nearest whole number. $\square$ pizzas Question Help: Message instructor Post to forum Submit Question

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Problem 22530

15) Find the resulting interval. $(2,9] \cup[5, \infty)$ A) $(2,5]$ B) $(-\infty, \infty)$ C) $[5, \infty)$ D) $(2, \infty)$

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Problem 22531

$x-\frac{2}{3}=\frac{7}{9}$

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Problem 22532

How many extraneous solutions does the equation below have? $\frac{2 m}{2 m+3}-\frac{2 m}{2 m-3}=1$ 0 1 2 3

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Problem 22533

$x \div 12=9.15$

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Problem 22534

$\checkmark 1$ 2 3 $\checkmark 5$ $\checkmark 6$ $\times 7$ $\checkmark$ 11 12 13
Write a system of linear equations represented by the augmented matrix. Give your answer in standard form using the variables $x$ and $y$ . The equations in the system should be in the same order as the rows in the given augmented matrix. $\left[\begin{array}{cc:c} -5 & 7 & -6 \\ -4 & 6 & 5 \end{array}\right]$
System of Equations: $\square=\square$

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Problem 22535

2 Convert to the same base and solve each equation: a $2^{x+3}=4^{x-2}$ b $5^{x-3}=25^{x-4}$ c $6^{2 x-6}=36^{3 x-5}$ d $9^{5 x+2}=\left(\frac{1}{3}\right)^{11-x}$

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Problem 22536

$|2 x+1|>7$

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Problem 22537

4 5 $\checkmark 6$ 7 8 9 10 11 12 < 13 14 15 Español 16
The difference of two positive numbers is 7 and the difference of their squares is 147 . Find the numbers. If there is more than one pair, use the "or" button. Give the answer in simplest form.
The pair(s) of numbers: $\square$ and $\square$ $\square \because \square$

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Problem 22538

6. $\left[\begin{array}{cc}10 & -2 \\ 4 & 0\end{array}\right]+X=\left[\begin{array}{cc}6 & -5 \\ -3 & 7\end{array}\right]$

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Problem 22539

Anwendung: Die Flugbahn eines Papierfliegers wird durch folgende Funktionsgleichung beschrieben: $f(x)=-0,005 x^{2}+0,1 x+1,5$ a) Aus welcher Höhe wird abgeworfen? b) Wie weit geht der Wurf? 30 m 1,5 - c) Wie hoch fliegt der Flieger maximal? 2 m d) Fünf Meter hinter dem Abwurf steht eine 1,80 Hohe Mauer. Fliegt der Flieger über die Mauer? $\qquad$ -

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Problem 22540

Find the inverse of the matrix, if possible. $\left[\begin{array}{rrrr} 1 & 3 & -2 & 1 \\ 0 & 2 & 4 & -10 \\ 0 & 0 & -2 & 7 \\ 0 & 0 & 0 & 5 \end{array}\right]$

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Problem 22541

A motorcyclist being monitored by radar accelerates at a constant rate from $0 \mathrm{mph}(\mathrm{v}(0)=0)$ to 50 mph in 18 sec . How far has the motorcycle traveled after 18 sec? (Hint: Convert seconds to hours.)
After 18 sec , the motorcycle has traveled $\square$ mi. (Simplify your answer. Type an integer or a fraction.)

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Problem 22542

Solve the system by using any method. Express numbers as integers or simplified fractions. $\begin{array}{l} y=x^{2}-6 x-5 \\ y=-2 x-9 \end{array}$
The solution set is \{ $\square$ 1.

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Problem 22543

\begin{align} 1) & \quad f(x) = 1 - 4x + x^5 \\ 2) & \quad f(x) = x^2 + 3 \\ 3) & \quad f(x) = 4 - x^2 \\ 4) & \quad f(x) = 2x^2 + 8x + 7 \\ 5) & \quad f(x) = -x^2 + 10x - 22 \\ 6) & \quad f(x) = 4x^2 + 24x \\ 7) & \quad f(x) = 6x - x^2 \\ \end{align}
Find the range of each function listed above.

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Problem 22544

7. $x^{2}=4 y^{3}+5 y^{2}$

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Problem 22545

Solve the system by using the addition method. $\begin{array}{l} 5 x^{2}+2 y^{2}=19 \\ 7 x^{2}-3 y^{2}=15 \end{array}$

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Problem 22546

Solve the system by using any method. Express numbers as integers or simplified fractions. $\begin{array}{r} x^{2}-10 x y+25 y^{2}=0 \\ x-y=4 \end{array}$
The solution set is \{ $\square$ \}. $\square$

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Problem 22547

Rewrite the following polynomial in standard form. $-1-6 x^{2}-\frac{x^{4}}{6}$

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Problem 22548

In Exercises 41-46, describe how to transform the graph of $y=\ln x$ into the graph of the given function. Sketch the graph by hand and support your sketch with a grapher.
41. $f(x)=\ln (x+3)$
42. $f(x)=\ln (x)+2$
43. $f(x)=\ln (-x)+3$
44. $f(x)=\ln (-x)-2$
45. $f(x)=\ln (2-x)$
46. $f(x)=\ln (5-x)$

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Problem 22549

Question Rewrite the following polynomial in standard form. $9 x+1-x^{2}$

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Problem 22550

Determine whether the points $(-2,5),(8,0)$ , and $\left(7, \frac{1}{2}\right)$ are solutions to the given system. $\begin{array}{l} x+2 y=8 \\ y=-\frac{1}{2} x+4 \end{array}$
Part 1 of 3
The point $(-2,5)$ is $\square$ a solution.
Part: $1 / 3$
Part 2 of 3
The point $(8,0)$ (Choose one) $\nabla$ a solution. $\square$

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Problem 22551

Find all the zeros of the quadratic function. $y=x^{2}-8 x-9$

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Problem 22552

Find $C$ and $D$ so that the solution set to the system is $\{(2,2)\}$ . $\begin{array}{c} C x+5 y=8 \\ -5 x+D y=-18 \end{array}$
Part 1 of 2 $C=$ $\square$
Part 2 of 2 $D=$ $\square$

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Problem 22553

Subtract. $(4 t+8)-(t+7)$ $\square$ Submit

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Problem 22554

What is the product? $\left(3 a^{2} b^{7}\right)\left(5 a^{3} b^{8}\right)$ $8 a^{5} b^{15}$ $8 a^{6} b^{56}$ $15 a^{5} b^{15}$ $15 a^{5} b^{56}$

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Problem 22555

Subtract. $(7 q+6)-(4 q+5)$ Submit

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Problem 22556

5. Use Pascal's Triangle to write the $u^{2} v^{5}$ term of $(u+v)^{7}$

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Problem 22557

Subtract. $(6 m+9)-(5 m+9)$ $\square$ Submit

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Problem 22558

Subtract. $(9 u+6)-(6 u+5)$

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Problem 22559

Use the properties of logarithms to expand the following expression. $\log \left(\frac{6(x+5)^{2}}{\sqrt[3]{x^{4}}}\right)$
Your answer should not have radicals or exponents. You may assume that all variables are positive. $\log \left(\frac{6(x+5)^{2}}{\sqrt[3]{x^{4}}}\right)=$ $\square \log$

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Problem 22560

Subtract. $(5 q+6)-(-7 q+3)$ $\square$ Submit

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Problem 22561

Add. $(7 x+1)+(6 x+5)$
Submit

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Problem 22562

What is the product? $(4 s+2)\left(5 s^{2}+10 s+3\right)$ $20 s^{2}+20 s+6$ $20 s^{3}+40 s^{2}+12 s$ $20 s^{3}+10 s^{2}+32 s+6$ $20 s^{3}+50 s^{2}+32 s+6$

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Problem 22563

8. The value of $\frac{(1-i)^{8}(\sqrt{3}-i)^{3}}{(1+i)^{14}}$ is: a. -1 b. 1 c. $i$ d. $-i$ e. $i-1$

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Problem 22564

Collect like terms and then arrange them in descending order. $\begin{array}{l} 2 x+2 x+3 x-x^{2}-4 x^{2} \\ 2 x+2 x+3 x-x^{2}-4 x^{2}= \end{array}$

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Problem 22565

Español
Monique and Tara each make an Ice-cream sundae. Monique gets 2 scoops of Cherry Ice-cream and 1 scoop of Mint Chocolate Chunk Ice-cream for a total of 84 g of fat. Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 90 g of fat. How many grams of fat does 1 scoop of each type of ice cream have?
Part 1 of 2
Cherry has $\square$ g of fat.
Part 2 of 2
Mint Chocolate Chunk has $\square$ g of fat.

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Problem 22566

Simplify. 1) $\frac{\frac{x}{7}}{\frac{6}{x+9}}$ A) $42 x(x+9)$ B) $\frac{x(x+9)}{42}$ C) $\frac{x+9}{42 x}$ D) $\frac{6 x}{7(x+9)}$
Simplify and reduce to lowest terms. 2) $\frac{3 m}{m-2}-\frac{6}{m-2}$ A) $\frac{3}{m-2}$ B) 0 C) $\frac{3(m+2)}{m-2}$ D) 3 3) $\frac{8}{14 x}+\frac{3}{14 x}$ A) $\frac{14 x}{11}$ B) $\frac{11}{28 x}$ C) 1 D) $\frac{11}{14 x}$
Find the least common multiple. 4) $x^{2}-9, x+3$ A) $x^{2}-9$ C) $x^{3}-27$ B) $(x-3)(x+3)^{2}$ D) $(x+3)\left(x^{2}-9\right)$
Write the expression in lowest terms. 5) $\frac{y^{2}-2 y-15}{y^{2}+2 y-35}$ A) $-\frac{y^{2}-2 y-15}{y^{2}+2 y-35}$ B) $\frac{y+3}{y+7}$ C) $\frac{-2 y-3}{2 y-7}$ D) $\frac{-2 y-15}{2 y-35}$
Use the verbal description to evaluate the function as indicated. 6) Multiply the input by 4 and add 7 to obtain the output. Find $f(1)$ . A) -3 B) 11 C) -11 D) 3
Determine whether f might be a linear function. 7) \begin{tabular}{c|c|c|c|c} $x$ & 1 & 2 & 3 & 4 \\ \hline $f(x)$ & 7 & 13 & 19 & 25 \end{tabular} A) Yes B) No olve the equation. 8) $|r-1|=6$ A) No solution B) -7 C) 5,7 D) $-5,7$

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Problem 22567

Collect like terms. $9 x^{4} y-7 x y^{3}+x^{2}$

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Problem 22568

What value of $n$ makes the equation true? $\left(2 x^{9} y^{11}\right)\left(4 x^{2} y^{10}\right)=8 x^{11} y^{20}$ 1 2 10 30

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Problem 22569

Express using a negative exponent. $\begin{array}{ll} \frac{1}{p^{5}} & \frac{1}{p^{5}}= \\ \text { (Type } \end{array}$ $\square$ (Type exponential notation with negative exponents.)

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Problem 22570

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"? $\begin{array}{l} 6+2(x+4)=\frac{1}{2}(x-3) \\ 6+2(x+4)=\frac{1}{2}(3-x) \\ (6+2)(x+4)=\frac{1}{2}(3-x) \end{array}$

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Problem 22571

What is the quotient? x - 3 \longdiv { 4 x ^ { 2 } + 3 x + 2 } $4 x^{2}+15+\frac{47}{x-3}$ $4 x+15+\frac{43}{x-3}$ $4 x^{2}+15+\frac{43}{x-3}$ $4 x+15+\frac{47}{x-3}$

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Problem 22572

8 Gegeben ist die Funktion $f$ mit $f(x)=e^{2 x}$ a) Skizzieren Sie den Graphen von f.

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Problem 22573

Simplify to form an equivalent expression by combining like terms. Use the distributive law as needed. $n-11 n$ $n-11 n=$ $\square$ (Simplify your answer.)

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Problem 22574

Student James, Quinton $5 t-2(t+1)=t-10$ $t=-3$ $t=-4$ $t=-2$ $t=-12$

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Problem 22575

Collect like terms. $\begin{array}{l} 6 c+8 d+9 c+18 d \\ 6 c+8 d+9 c+18 d= \end{array}$

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Problem 22576

$4 a+4=3 a-4$ $-a=8$ $-a=0$ $a=-8$ $\mathrm{a}=0$

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Problem 22577

An ice cube is freezing in such a way that the side length $s$ , in inches, is $s(t)=\frac{1}{2} t+4$ , where $t$ is in hours. The surface area of the ice cube is the function $A(s)=6 s^{2}$ . Part A: Write an equation that gives the volume at $t$ hours after freezing begins. ( 2 points) Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points) Part C: After how many hours will the surface area equal 294 square inches? Show all necessary calculations, and check for extraneous solutions. (4 points)

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Problem 22578

Solve the equation graphically. Check your solution algebraically.
1. $5 x+2=7$
2. $-3 x=15$ (3.) $2-x=5$ $y=5 x+2$ $y=2 x$ $y=5$ $y=7$ $\frac{2 x}{2}=\frac{5}{2}$ $\left(1=\frac{5}{2}\right.$
4. $8+2 x=-2 x$ (5.) $0.5 x+1=3$
6. $3 x+6=11-2$

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Problem 22579

[晾. Write the equation of this line in slope-intercept form. [3]. Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 22580

Solve the equation for $x$ . $-2(5 x-3)+8=-10 x+14$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x=$ $\square$ (Type an integer or a fraction. Simplify your answer.) B. The solution is all real numbers. C. There is no solution.

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Problem 22581

Answer two questions about Equations $A$ and $B$ : A. $5 x-2+x=x-4$ B. $5 x+x=x-4$ 1) How can we get Equation $B$ from Equation $A$ ?
Choose 1 answer: (A) Add/subtract a quantity to/from only one side
B Add/subtract the same quantity to/from both sides C Rewrite one side (or both) using the distributive property (D) Rewrite one side (or both) by combining like terms

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Problem 22582

Solve the system using any method. $\begin{array}{l} y=\frac{1}{4} x+5 \\ y=\frac{1}{8} x+4 \end{array}$ The system has no solution, $\}$ . The system has one solution. The solution set is $\square$ \}. The system has infinitely many solutions. The solution set is $\square$ $x$ is any real number $\}$ .

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Problem 22583

Factor completely. $s^{5}-5 s^{4}+6 s^{3}$

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Problem 22584

Solve the equation. $\begin{array}{l} 6-2(a+1)=7+a \\ a=\square \end{array}$

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Problem 22585

Two pools are being filled with water. To start, the first pool contains 784 liters of water and the second pool is empty. Water is being added to the first pool at a rate of 18.25 liters per minute. Water is being added to the second pool at a rate of 42.75 liters per minute.
After how many minutes will the two pools have the same amount of water? $\square$ minutes
How much water will be in each pool when they have the same amount? $\square$ titers

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Problem 22586

Solve and graph the following inequality. $1-4 x \geq 25 \text { and } 7 x-4>10$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\{x|x\rangle$ $\square$ 3 B. The solution set is $\{x \mid$ $\square$ $\leq x<$ $\square$ 3 C. The solution set is $\{x \mid x \geq$ $\square$ 3 D. The solution set is $\{x \mid$ $\square$ $<x \leq$ $\square$ E. The solution set is $\varnothing$ .
Graph the solution. Choose the correct answer below. A. B. c. D. E. O F.

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Problem 22587

Factor completely. $r^{2}+25$

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Problem 22588

To solve radical equations, first isolate one of the radical terms if necessary. Is the radical term isolated? Yes No
What is the next step? Choose the correct answer below. A. Factor the radicand. B. Take the square root of the left side. C. Rewrite the equation using the principle of powers. D. Isolate $x$ on the left side of the equation.
Use the principle of powers. The principle of powers states that for any natural number $n$ , if $a n$ equation $a=b$ is true, then $\square$

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Problem 22589

Factor by grouping. $\begin{array}{l} x^{3}+5 x^{2}+2 x+10 \\ x^{3}+5 x^{2}+2 x+10= \end{array}$

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Problem 22590

Graph the equation and identify the $y$ -intercept. $y=\frac{1}{2} x+1$
Use the graphing tool on the right to graph the equation.
Click to enlarge graph
The $y$ -intercept is $\square$ (Type an ordered pair.)

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Problem 22591

Question 3 of 10 What is the 7th term in the geometric sequence described by this explicit formula? $a_{n}=-3 \cdot(3)^{(n-1)}$ A. -2187 B. 2187 C. -6561 D. 6561 SUBMIT

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Problem 22592

The Warbler House Inn offers two plans for wedding parties. Under plan A, the inn charges $\$ 40$ for each person in attendance. Under plan B, the inn charges $\$ 1600$ plus $\$ 25$ for each person in excess of the first 30 who attend For what size parties will plan B cost less? (Assume that more than 30 guests will attend.)
Let $p$ repressents the number of guests. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest whole number.) A. The solution set is $\{p \mid p$ ? $\square$ 3. B. The solution set is $\{p \mid p \geq$ $\square$ 3. C. The solution set is $\{p \mid p \leqslant$ $\square$ 3 D. The solution set is $\{p \mid p<$ $\square$ 3

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Problem 22593

Find a subset of the following set of vectors that forms a basis for the span(S). $(1,0,-2,3),(0,1,2,3),(2,-2,-8,0),(2,-1,10,3),(3,-1,-6,9)$

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Problem 22594

Given the following functions, find each of the values: $\begin{array}{l} f(x)=x^{2}+6 x-7 \\ g(x)=x-1 \\ (f+g)(-3)= \\ (f-g)(1)= \\ (f \cdot g)(0)= \\ \left(\frac{f}{g}\right)(4)= \end{array}$

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Problem 22595

Emma just moved into a new apartment and finds out she has two different options for internet. - Company A charges $\$ 220$ per month with a non-refundable $\$ 100$ installation fee. - Company B offers a comparable internet package and charges $\$ 150$ per month with a non-refundable $\$ 200$ installation fee. a) Write an equation for the total cost to get the internet from Company $A$ for $t$ months. $y=$ b) Which sentence below, BEST describes the meaning of the slope of the equation above.
Select an answer c) Which line on the graph below represents the cost to rent from Company A for $t$ months?
The $\square$ Select an answer $\checkmark$ line represents the cost to get the internet from Company A for $t$ months. d) If Emma is planning on staying in the apartment for one semester of school ( 4 months), which internet plan should she choose. Which answer below best explains using a comparison? Select an answer e) If Emma is unsure how many months she needs to have internet, help her know under what conditions she should choose each of the plans. Company $A$ is always best, because it started out cheaper. Company $B$ is always best, becasue it costs less per month. In order to make a decision, Emma should look at the break even point! Company $A$ is best for the first month, and Company $B$ is best after that. Question Help: Message instructor
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Problem 22596

$\begin{array}{l}\text { SHOW THAT EACH OF THE FOLLOWING ARE }=\frac{s^{2}}{20} \\ (0.1 \times s)^{2} \times 5 \\ \left(\frac{1}{10} \times s\right)^{2} \times 5 \\ \left(\frac{s}{10}\right)^{2} \times 5\end{array}$

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Problem 22597

$S P u$ Q.13) If $f(x)=\frac{\sec x}{x+3}$ and $f^{-1}(c)=0$ , then $c=$ A. $\frac{1}{3}$ B. 0 C. $\frac{2}{\sqrt{3}}$ D. $\frac{1}{4}$ E.None

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Problem 22598

Use the principle of powers. The principle of powers states that for any natural number $n$ , if an equation $a=b$ is true, then $a^{n}=b^{n}$ is true. Use the principle of powers. $(\sqrt[4]{x-6})^{4}=1$ $\square$

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Problem 22599

5 Q.13) If $f(x)=\frac{\sec x}{x+3}$ and $f^{-1}(c)=0$ , then $c=$ A. $\frac{1}{3}$ B. 0 C. $\frac{2}{\sqrt{3}}$ D. $\frac{1}{4}$ cibtifantstius orsil $2=$ Q.14) One of the following equations is symmetric about origin A. $y=\frac{x+1}{x}$ B. $-x^{5}+3 x$ C. $y=x^{4}-2 x^{2}+6$ D. None $\begin{aligned} -2= & \left.-x^{5}\right)^{3 x} \\ & -\left(x^{5}\right. \end{aligned}$ Q.15) One of the following functions is an even function A. $f(x)=\frac{\sec 4 x}{5 x}$ B.None C. $f(x)=\frac{\cos 5 x}{2 x}$ D. $f(x)=\frac{\sin 2 x}{3 x}$ Q.16)The range of the function $f(x)=\frac{1}{\sqrt{4-x^{2}}}$ is A. $(0,2)$ B. $[0,2]$ C. $\left(\frac{1}{2}, \infty\right)$ D. $\left[\frac{1}{2}, \infty\right)$ E.None Q.17) Given that $f(x)=\frac{1}{x-3}$ and $g(x)=\frac{1}{x}$ then the domain of the function $f \circ g$ is A. $R \backslash\left\{0, \frac{1}{3}\right\}$ $B . R \backslash\{0\}$ C. $R \backslash\left\{\frac{1}{3}\right\}$ D. $R \backslash\{0,3\}$ E.None Q.18) (The greatest integer less than or equals $x$ ) The range of $f(x)=2[x]$ is A. $\{0,61,62,63$ , $\qquad$ B. $R \backslash\{0,61,62,63$ $\qquad$ $f|x|$ sec - C. $\{0,62,64,66$ $\qquad$ D. $(-\infty, \infty)$ Q.19) If the domain of the function $y=f(x)$ is $[2,3)$ then the domain of $g(x)=f(3-x)$ is A. $[2,3)$ B. $(0,1]$ C. $[0,1)$ D. $(2,3]$ E.None Q.20) Given that $f(x)=\sec ^{-1} x$ then $f(2)=$ A. $\frac{1}{\sin 2}$ B. $\frac{1}{\cos 2}^{x}$ C. $\cos ^{-1}\left(\frac{1}{2}\right)$ D. $\sin ^{-1}\left(\frac{1}{2}\right)$ E.None Q.21) Given that $f(x)=x^{2}$ and $g(x)=\left\{\begin{array}{l}2 x, \\ x+3, x \geq 4\end{array}\right.$ then $\left.(f \circ g)(x)=f(x)\right)$ A. $\left\{\begin{array}{cl}4 x^{2} & , x<4 \\ (x+1)^{2} & , x \geq 4\end{array}\right.$ B. $\left\{\begin{array}{cl}4 x^{2} & , x \leq 4 \\ (x+1)^{2} & , x>4\end{array}\right.$ C. $\left\{\begin{array}{cc}4 x^{2} & , \quad x<16 \\ (x+1)^{2} & , \quad x \geq 16\end{array}\right.$ D. $\left\{\begin{array}{cc}4 x^{2} & , x \leq 16 \\ (x+1)^{2} & , x>16\end{array}\right.$ Q.22) The domain of the function $f(x)=\operatorname{Ln}(5-|7 x+3|)$ is A. $\left[-\frac{8}{7}, \frac{2}{7}\right]$ B. $\left(-\frac{8}{7}, \frac{2}{7}\right)$ C. $R \backslash\left[-\frac{8}{7}, \frac{2}{7}\right]$ D. $\mathrm{R} \backslash\left(-\frac{8}{7}, \frac{2}{7}\right)$ Q.23) The domain of $f(x)=\cos ^{-1}(3 x+1)$ is $-1,1$ $-24-$ ولا تعت:

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Problem 22600

Solve and graph the following inequality. $a+9 \leq-17$
Select the correct choice below and fill in the answer box to complete your choice. A. The solution is $\{a \mid a<$ $\square$ \}. B. The solution is $\{a \mid a \geq$ $\square$ C. The solution is $\{\mathrm{a} \mid \mathrm{a} \leq$ $\square$ $\}$ D. The solution is $\{a \mid a>$ $\square$ 3
Which of the following is the graph of the solution? A. B. c. D.

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Algebra

Problem 22501

Problem 22502

What is x2−49x^{2}-49x2−49 factored completely? A. (x+7)(x−7)(x+7)(x-7)(x+7)(x−7) B. (7x+1)(7x−1)(7 x+1)(7 x-1)(7x+1)(7x−1) C. (x−7)2(x-7)^{2}(x−7)2 D. (7x−1)2(7 x-1)^{2}(7x−1)2

Problem 22503

Simplify the expression without using a calculator. log⁡22=\log _{2} 2=log2​2= □\square□ □log⁡8□\square \log _{8} \square□log8​□

Problem 22504

JIUW EXdImpIEWrite the equation of the line in fully simplified slope-intercept formAnswer Attempt 1 out of 2 Submit Answer

Problem 22505

Problem 22506

3) What is the linear equation of a line with slope 23\frac{2}{3}32​ and passes through the point (−6,5)(-6,5)(−6,5) ?

Problem 22507

Write the equation in logarithmic form. 52=255^{2}=2552=25The equation in logarithmic form is □\square□ □log⁡□□□=□\square \log _{\square} \square \quad \square=\square□log□​□□=□

Problem 22508

```latex \begin{align*} &\text{1-F: } [-1,8) \rightarrow \mathbb{R} \\ &F(x) = -2x - 5 \\ &\text{Fonk. İnceleyelim (Grafik, artanlık-azalanlık, max-min, Fonk. Sıfır., Fonksiyonun işareti)} \\ &F(x) = 2 \\ &f(x) \text{ örten} \end{align*}

Problem 22509

9. Explain why rewriting 50\sqrt{50}50​ as 25⋅2\sqrt{25} \cdot \sqrt{2}25​⋅2​ helps you simplify 50\sqrt{50}50​, but rewriting 50\sqrt{50}50​ as 10⋅5\sqrt{10} \cdot \sqrt{5}10​⋅5​ does not.

Problem 22510

Solve the system by using Gaussian elimination or Gauss-Jordan elimination. −3(x−3y)=−10−y10y=−2x−10\begin{aligned} -3(x-3 y) & =-10-y \\ 10 y & =-2 x-10 \end{aligned}−3(x−3y)10y​=−10−y=−2x−10​The solution set is □\square□ □\square□ 1)\}.

Problem 22511

Problem 22512

11. Write each radical in simplest form, if possible, a) 163\sqrt[3]{16}316​ b) 813\sqrt[3]{81}381​ c) 2563\sqrt[3]{256}3256​ d) 1283\sqrt[3]{128}3128​ e) 603\sqrt[3]{60}360​ f) 1923\sqrt[3]{192}3192​ 31353 \sqrt{135}3135​ h) 1003\sqrt[3]{100}3100​

Problem 22513

5. The sum of two numbers is 29. The difference between four times the first number and the second number is 6 . Find the two numbers. let

Problem 22514

The graph shows a function. Is the function even, odd, or neither? Use the drop-down menus to explain.Click the arrows to choose an answer from each menu. For the function on the graph. opposite xxx-vatues have choose:values. This shows the function is choose because its graph has Choose..

Problem 22515

x2+7x+3=0x^{2}+7 x+3=0x2+7x+3=0

Problem 22516

Suppose that O{ }^{O}O partners equally share the profits from a sale of $3,600\$ 3,600$3,600. Which algebraic expression represents this situation? 3600+03600+03600+0 3600−p3600-p3600−p 3600p 3600p\frac{3600}{p}p3600​

Problem 22517

Problem 22518

Problem 22519

Perform the elementary row operation 14R2+R1→R1\frac{1}{4} R_{2}+R_{1} \rightarrow R_{1}41​R2​+R1​→R1​ on the given matrix. [2451248]\left[\begin{array}{cc:c} 2 & 4 & 5 \\ 12 & 4 & 8 \end{array}\right][212​44​58​]Resulting matrix:

Problem 22520

The coefficient of x2x^{2}x2 in the expansion of (2+x2)6+(a+x)5\left(2+\frac{x}{2}\right)^{6}+(a+x)^{5}(2+2x​)6+(a+x)5 is 330 . Find the value of the constant aaa.

Problem 22521

Problem 22522

Determine whether the equation defines yyy as a function of xxx. (See Example 9.) 3∣x∣+y=03|x|+y=03∣x∣+y=0 is a function is not a function

Problem 22523

Problem 22524

Problem 22525

Problem 22526

x+12=1112x+\frac{1}{2}=\frac{11}{12}x+21​=1211​

Problem 22527

Simplify 5r+4p−8r+65 r+4 p-8 r+65r+4p−8r+6

Problem 22528

Problem 22529

Problem 22530

15) Find the resulting interval. (2,9]∪[5,∞)(2,9] \cup[5, \infty)(2,9]∪[5,∞) A) (2,5](2,5](2,5] B) (−∞,∞)(-\infty, \infty)(−∞,∞) C) [5,∞)[5, \infty)[5,∞) D) (2,∞)(2, \infty)(2,∞)

Problem 22531

x−23=79x-\frac{2}{3}=\frac{7}{9}x−32​=97​

Problem 22532

How many extraneous solutions does the equation below have? 2m2m+3−2m2m−3=1\frac{2 m}{2 m+3}-\frac{2 m}{2 m-3}=12m+32m​−2m−32m​=1 0 1 2 3

Problem 22533

x÷12=9.15x \div 12=9.15x÷12=9.15

Problem 22534

Problem 22535

2 Convert to the same base and solve each equation: a 2x+3=4x−22^{x+3}=4^{x-2}2x+3=4x−2 b 5x−3=25x−45^{x-3}=25^{x-4}5x−3=25x−4 c 62x−6=363x−56^{2 x-6}=36^{3 x-5}62x−6=363x−5 d 95x+2=(13)11−x9^{5 x+2}=\left(\frac{1}{3}\right)^{11-x}95x+2=(31​)11−x

Problem 22536

∣2x+1∣>7|2 x+1|>7∣2x+1∣>7

Problem 22537

Problem 22538

6. [10−240]+X=[6−5−37]\left[\begin{array}{cc}10 & -2 \\ 4 & 0\end{array}\right]+X=\left[\begin{array}{cc}6 & -5 \\ -3 & 7\end{array}\right][104​−20​]+X=[6−3​−57​]

Problem 22539

Problem 22540

Find the inverse of the matrix, if possible. [13−21024−1000−270005]\left[\begin{array}{rrrr} 1 & 3 & -2 & 1 \\ 0 & 2 & 4 & -10 \\ 0 & 0 & -2 & 7 \\ 0 & 0 & 0 & 5 \end{array}\right]⎣⎡​1000​3200​−24−20​1−1075​⎦⎤​

Problem 22541

Problem 22542

Solve the system by using any method. Express numbers as integers or simplified fractions. y=x2−6x−5y=−2x−9\begin{array}{l} y=x^{2}-6 x-5 \\ y=-2 x-9 \end{array}y=x2−6x−5y=−2x−9​The solution set is \{ □\square□ 1.

Problem 22543

\begin{align*} 1) & \quad f(x) = 1 - 4x + x^5 \\ 2) & \quad f(x) = x^2 + 3 \\ 3) & \quad f(x) = 4 - x^2 \\ 4) & \quad f(x) = 2x^2 + 8x + 7 \\ 5) & \quad f(x) = -x^2 + 10x - 22 \\ 6) & \quad f(x) = 4x^2 + 24x \\ 7) & \quad f(x) = 6x - x^2 \\ \end{align*}Find the range of each function listed above.

Problem 22544

7. x2=4y3+5y2x^{2}=4 y^{3}+5 y^{2}x2=4y3+5y2

Problem 22545

Solve the system by using the addition method. 5x2+2y2=197x2−3y2=15\begin{array}{l} 5 x^{2}+2 y^{2}=19 \\ 7 x^{2}-3 y^{2}=15 \end{array}5x2+2y2=197x2−3y2=15​

Problem 22546

Solve the system by using any method. Express numbers as integers or simplified fractions. x2−10xy+25y2=0x−y=4\begin{array}{r} x^{2}-10 x y+25 y^{2}=0 \\ x-y=4 \end{array}x2−10xy+25y2=0x−y=4​The solution set is \{ □\square□ \}. □\square□

Problem 22547

Rewrite the following polynomial in standard form. −1−6x2−x46-1-6 x^{2}-\frac{x^{4}}{6}−1−6x2−6x4​

What is $x^{2}-49$ factored completely? A. $(x+7)(x-7)$ B. $(7 x+1)(7 x-1)$ C. $(x-7)^{2}$ D. $(7 x-1)^{2}$

Simplify the expression without using a calculator. $\log _{2} 2=$ $\square$ $\square \log _{8} \square$

JIUW EXdImpIE
Write the equation of the line in fully simplified slope-intercept form
Answer Attempt 1 out of 2 Submit Answer

3) What is the linear equation of a line with slope $\frac{2}{3}$ and passes through the point $(-6,5)$ ?

Write the equation in logarithmic form. $5^{2}=25$
The equation in logarithmic form is $\square$ $\square \log _{\square} \square \quad \square=\square$

```latex \begin{align} &\text{1-F: } [-1,8) \rightarrow \mathbb{R} \\ &F(x) = -2x - 5 \\ &\text{Fonk. İnceleyelim (Grafik, artanlık-azalanlık, max-min, Fonk. Sıfır., Fonksiyonun işareti)} \\ &F(x) = 2 \\ &f(x) \text{ örten} \end{align}

9. Explain why rewriting $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ helps you simplify $\sqrt{50}$ , but rewriting $\sqrt{50}$ as $\sqrt{10} \cdot \sqrt{5}$ does not.

Solve the system by using Gaussian elimination or Gauss-Jordan elimination. $\begin{aligned} -3(x-3 y) & =-10-y \\ 10 y & =-2 x-10 \end{aligned}$
The solution set is $\square$ $\square$ 1)\}.

11. Write each radical in simplest form, if possible, a) $\sqrt[3]{16}$ b) $\sqrt[3]{81}$ c) $\sqrt[3]{256}$ d) $\sqrt[3]{128}$ e) $\sqrt[3]{60}$ f) $\sqrt[3]{192}$ $3 \sqrt{135}$ h) $\sqrt[3]{100}$

The graph shows a function. Is the function even, odd, or neither? Use the drop-down menus to explain.
Click the arrows to choose an answer from each menu. For the function on the graph. opposite $x$ -vatues have choose:values. This shows the function is choose because its graph has Choose..

$x^{2}+7 x+3=0$

Suppose that ${ }^{O}$ partners equally share the profits from a sale of $\$ 3,600$ . Which algebraic expression represents this situation? $3600+0$ $3600-p$ 3600p $\frac{3600}{p}$

Perform the elementary row operation $\frac{1}{4} R_{2}+R_{1} \rightarrow R_{1}$ on the given matrix. $\left[\begin{array}{cc:c} 2 & 4 & 5 \\ 12 & 4 & 8 \end{array}\right]$
Resulting matrix:

The coefficient of $x^{2}$ in the expansion of $\left(2+\frac{x}{2}\right)^{6}+(a+x)^{5}$ is 330 . Find the value of the constant $a$ .

Determine whether the equation defines $y$ as a function of $x$ . (See Example 9.) $3|x|+y=0$ is a function is not a function

$x+\frac{1}{2}=\frac{11}{12}$

Simplify $5 r+4 p-8 r+6$

15) Find the resulting interval. $(2,9] \cup[5, \infty)$ A) $(2,5]$ B) $(-\infty, \infty)$ C) $[5, \infty)$ D) $(2, \infty)$

$x-\frac{2}{3}=\frac{7}{9}$

How many extraneous solutions does the equation below have? $\frac{2 m}{2 m+3}-\frac{2 m}{2 m-3}=1$ 0 1 2 3

$x \div 12=9.15$

2 Convert to the same base and solve each equation: a $2^{x+3}=4^{x-2}$ b $5^{x-3}=25^{x-4}$ c $6^{2 x-6}=36^{3 x-5}$ d $9^{5 x+2}=\left(\frac{1}{3}\right)^{11-x}$

$|2 x+1|>7$

6. $\left[\begin{array}{cc}10 & -2 \\ 4 & 0\end{array}\right]+X=\left[\begin{array}{cc}6 & -5 \\ -3 & 7\end{array}\right]$

Find the inverse of the matrix, if possible. $\left[\begin{array}{rrrr} 1 & 3 & -2 & 1 \\ 0 & 2 & 4 & -10 \\ 0 & 0 & -2 & 7 \\ 0 & 0 & 0 & 5 \end{array}\right]$

Solve the system by using any method. Express numbers as integers or simplified fractions. $\begin{array}{l} y=x^{2}-6 x-5 \\ y=-2 x-9 \end{array}$
The solution set is \{ $\square$ 1.

\begin{align} 1) & \quad f(x) = 1 - 4x + x^5 \\ 2) & \quad f(x) = x^2 + 3 \\ 3) & \quad f(x) = 4 - x^2 \\ 4) & \quad f(x) = 2x^2 + 8x + 7 \\ 5) & \quad f(x) = -x^2 + 10x - 22 \\ 6) & \quad f(x) = 4x^2 + 24x \\ 7) & \quad f(x) = 6x - x^2 \\ \end{align}
Find the range of each function listed above.

7. $x^{2}=4 y^{3}+5 y^{2}$

Solve the system by using the addition method. $\begin{array}{l} 5 x^{2}+2 y^{2}=19 \\ 7 x^{2}-3 y^{2}=15 \end{array}$

Solve the system by using any method. Express numbers as integers or simplified fractions. $\begin{array}{r} x^{2}-10 x y+25 y^{2}=0 \\ x-y=4 \end{array}$
The solution set is \{ $\square$ \}. $\square$

Rewrite the following polynomial in standard form. $-1-6 x^{2}-\frac{x^{4}}{6}$

Question Rewrite the following polynomial in standard form. $9 x+1-x^{2}$

Find all the zeros of the quadratic function. $y=x^{2}-8 x-9$

Find $C$ and $D$ so that the solution set to the system is $\{(2,2)\}$ . $\begin{array}{c} C x+5 y=8 \\ -5 x+D y=-18 \end{array}$
Part 1 of 2 $C=$ $\square$
Part 2 of 2 $D=$ $\square$

Subtract. $(4 t+8)-(t+7)$ $\square$ Submit

What is the product? $\left(3 a^{2} b^{7}\right)\left(5 a^{3} b^{8}\right)$ $8 a^{5} b^{15}$ $8 a^{6} b^{56}$ $15 a^{5} b^{15}$ $15 a^{5} b^{56}$

Subtract. $(7 q+6)-(4 q+5)$ Submit

5. Use Pascal's Triangle to write the $u^{2} v^{5}$ term of $(u+v)^{7}$

Subtract. $(6 m+9)-(5 m+9)$ $\square$ Submit

Subtract. $(9 u+6)-(6 u+5)$

Subtract. $(5 q+6)-(-7 q+3)$ $\square$ Submit

Add. $(7 x+1)+(6 x+5)$
Submit

What is the product? $(4 s+2)\left(5 s^{2}+10 s+3\right)$ $20 s^{2}+20 s+6$ $20 s^{3}+40 s^{2}+12 s$ $20 s^{3}+10 s^{2}+32 s+6$ $20 s^{3}+50 s^{2}+32 s+6$

8. The value of $\frac{(1-i)^{8}(\sqrt{3}-i)^{3}}{(1+i)^{14}}$ is: a. -1 b. 1 c. $i$ d. $-i$ e. $i-1$

Collect like terms and then arrange them in descending order. $\begin{array}{l} 2 x+2 x+3 x-x^{2}-4 x^{2} \\ 2 x+2 x+3 x-x^{2}-4 x^{2}= \end{array}$

Collect like terms. $9 x^{4} y-7 x y^{3}+x^{2}$

What value of $n$ makes the equation true? $\left(2 x^{9} y^{11}\right)\left(4 x^{2} y^{10}\right)=8 x^{11} y^{20}$ 1 2 10 30

Express using a negative exponent. $\begin{array}{ll} \frac{1}{p^{5}} & \frac{1}{p^{5}}= \\ \text { (Type } \end{array}$ $\square$ (Type exponential notation with negative exponents.)

What is the quotient? x - 3 \longdiv { 4 x ^ { 2 } + 3 x + 2 } $4 x^{2}+15+\frac{47}{x-3}$ $4 x+15+\frac{43}{x-3}$ $4 x^{2}+15+\frac{43}{x-3}$ $4 x+15+\frac{47}{x-3}$

8 Gegeben ist die Funktion $f$ mit $f(x)=e^{2 x}$ a) Skizzieren Sie den Graphen von f.

Simplify to form an equivalent expression by combining like terms. Use the distributive law as needed. $n-11 n$ $n-11 n=$ $\square$ (Simplify your answer.)

Student James, Quinton $5 t-2(t+1)=t-10$ $t=-3$ $t=-4$ $t=-2$ $t=-12$