Math Statement

Problem 2701

Find the indefinite integral $\int \frac{x}{x^{2}+6} d x$ . (Notice the $+C$ is already provided.) $+C$

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Problem 2702

Simplify each expression. Identify any restrictions on the values for the variables. a) $2 \sqrt{a^{3}}+6 \sqrt{a^{3}}$ b) $3 \sqrt{2 x}+3 \sqrt{8 x}-\sqrt{x}$ c) $-4 \sqrt[3]{625 r}+\sqrt[3]{40 r^{4}}$ d) $\frac{w}{5} \sqrt[3]{-64}+\frac{\sqrt[3]{512 w^{3}}}{5}-\frac{2}{5} \sqrt{50 w}-4 \sqrt{2 w}$

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Problem 2703

Let $f$ be the function defined by $f(x)=\sin (h(x))$ , where $h$ is a differentiable function. Which of the following is equivalent to the derivative of $f$ with respect to $x$ ? (A) $\cos (h(x))$ (B) $\cos (h \prime(x))$ (C) $\cos (h(x)) h \prime(x)$ (D) $\sin (h(x)) h \prime(x)$

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Problem 2704

Points: 0 of 1
Find the zeros of the polynomial function and state the multiplicity of each. $f(x)=x^{4}-11 x^{2}+18$
The smallest zero is $\square$ with multiplicity $\square$ 1. . (Type an exact answer, using radicals as needed.) The smaller middle zero is $\square$ with multiplicity $\square$ $\square$ .

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Problem 2705

Compute $A B$ using the following matrices, or state that the operation is undefined. $A=\left[\begin{array}{ccc} -1 & 3 & 2 \\ 2 & 0 & 1 \end{array}\right], B=\left[\begin{array}{cc} 4 & 1 \\ -2 & 1 \end{array}\right]$ $A B=\left[\begin{array}{ll}3 & 4 \\ 0 & 1\end{array}\right]$ $A B$ is undefined $A B=\left[\begin{array}{ccc}-2 & 12 & 9 \\ 4 & -6 & -3\end{array}\right]$ $A B=\left[\begin{array}{cc}-10 & 2 \\ 8 & 2\end{array}\right]$

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Problem 2706

Points: 0 of 1
Find the zeros of the polynomial function and state the multiplicity of each. $f(x)=x^{4}-11 x^{2}+18$
The smallest zero is -3 with multiplicity 1. (Type an exact answer, using radicals as needed.) The smaller middle zero is $-\sqrt{2}$ with multiplicity 1. (Type an exact answer, using radicals as needed.) The larger middle zero is $\square$ with multiplicity $\square$ . (Type an exact answer, using radicals as needed.)

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Problem 2707

Question Watch Video Show Exam
Write a degree 3 Taylor Polynomial for $f(x)=-4 e^{x}$ centered at $x=-3$ . Let $f(x)=-4 e^{x}$ . Find the function value and first 3 derivatives of $f(x)$ at $x=-3$ $f(x)=$ $\square$ $f(-3)=$ $\square$ $f^{\prime}(x)=$ $\square$ $f^{\prime}(-3)=$ $\square$ $f^{\prime \prime}(x)=$ $\square$ $f^{\prime \prime}(-3)=$ $\square$ $f^{\prime \prime \prime}(x)=$ $\square$ $f^{\prime \prime \prime}(-3)=$ $\square$ thy

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Problem 2708

If $y=x^{2} \sin 2 x$ , then $\frac{d y}{d x}=$ (A) $2 x \cos 2 x$ (B) $4 x \cos 2 x$ (C) $2 x(\sin 2 x+\cos 2 x)$ (D) $2 x(\sin 2 x-x \cos 2 x)$ (E) $2 x(\sin 2 x+x \cos 2 x)$

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Problem 2709

Watch the video and then solve the problem given below. Click here to watch the video. Find the zeros of the function, and their multiplicities. $f(x)=x^{3}-5 x^{2}-x+5$
The zeros of the function are $x=$ $\square$ (Use a comma to separate answers as needed.)

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Problem 2710

Watch the video and then solve the problem given below. Click here to watch the video. Find the zeros of the function, and their multiplicities. $f(x)=x^{3}-5 x^{2}-x+5$
The zeros of the function are $x=1,5,-1$ . (Use a comma to separate answers as needed.) Each zero has multiplicity $\square$

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Problem 2711

Find the root of each equation. (hessan $3=2$
9. $x+8=0$
10. $4 x-24=0$
11. $18+8 x=0$
12. $\frac{3}{5} x-\frac{1}{2}=0$

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Problem 2712

Find all solutions of the equation in the interval $[0,2 \pi)$ . $4 \sin ^{2} x=5+4 \cos x$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with co

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Problem 2713

Question Watch Video Show Examples
Evaluate the left hand side to find the value of $a$ in the equation in simplest form. $x^{\frac{6}{5}} x=x^{a}$
Answer Attempt 2 out of 4 $\square$ Submit Answer

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Problem 2714

Evaluate the left hand side to find the value of $a$ in the equation in $x^{\frac{4}{5}} x^{\frac{5}{4}}=x^{a}$
Answer Attempt 1 out of 4

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Problem 2715

Factor the following four-term polynomial by grouping. $\begin{array}{r} 6 x+18+x y+3 y \\ 6 x+18+x y+3 y= \end{array}$ $\square$ (Factor completely.)

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Problem 2716

Question Watch Video Show Examples
The function $f$ is defined by $f(x)=x^{3}-\cos (3 x)$ . Use a calculator to write the equation of the line tangent to the graph of $f$ when $x=-0.5$ . You should round all decimals to 3 places.
Answer Attempt 1 out of 3 $\square$ Sulmit Answer

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Problem 2717

Simplify the following expression: $\frac{10+\sqrt{-49}}{6}$ . Give your answer in the form $a+b i$ $\square$ Question Help: Message instructor Submit Question

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Problem 2718

Question 4
Compute $3 \mathrm{~A}-4 \mathrm{I}_{2}$ using the following matrix, or state that the indicted operation is undefined. $A=\left[\begin{array}{cc} 10 & 8 \\ -5 & -9 \end{array}\right]$ $3 A-4 I_{2}$ is undefined $3 A-4 I_{2}=\left[\begin{array}{cc}26 & 20 \\ -19 & -31\end{array}\right]$ $3 A-4 I_{2}=\left[\begin{array}{cc}26 & 24 \\ -15 & -31\end{array}\right]$ $3 A-4 I_{2}=\left[\begin{array}{cc}27 & 24 \\ -15 & -30\end{array}\right]$

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Problem 2719

Evaluate. $\int \frac{e^{7 x}}{\left(e^{7 x}+7\right)^{4}} d x=$ $\square$

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Problem 2720

Given that $f(x)=x^{2}-5 x-36$ and $g(x)=x-9$ , find $f(x) \div g(x)$ and express the result as a polynomial in simplest form.

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Problem 2721

3. $15 x^{2}-40 x+20$ Groupins $3(x+3)(2 x-3)$
7. $9 x^{2}+66 x+21$ Groupling
4. $10 x^{2}+38 x+24$
Groupins Berry
8. $16 x^{2}+60 x-100$
Groupins G. Factor Trinomials: $a \neq \pm 1$ and $a$ or a factor of $a$ can NOT be factored o FACTOR using Berry, Slide E Divide or Grouping Method
1. $2 x^{2}+11 x+5$
Groupins
2. $2 x^{2}+5 x+3$
Groupins
3. $2 x^{2}+11 x+14$
Grouping
11. $5 x^{2}+9 x-2$
Grouping
12. $5 x^{2}-13 x-6$
Groupins
13. $4 x^{2}+8 x+3$
Grouping

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Problem 2722

$3 / 12$
Factor $(3 x-10)(x+6)$ $(5 x-8)(x+7)$ $(x-8)(5 x-4)$ $(5 x-8)(x-4)$

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Problem 2723

Match the quadratic function with its graph. $f(x)=4-x^{2}$

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Problem 2724

ess the following fraction in simplest form using only positive $\frac{15 h}{3\left(h^{3}\right)^{2}}$

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Problem 2725

Factor: $4 h^{2}-17 h+4$ $(h-4)(4 h-1)$ $(2 h-2)(2 h+2)$ $(2 h-2)^{2}$ $4(h+4)(h+1)$

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Problem 2726

31. a. $\log _{7} 13$ b. $\log _{2} 556$

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Problem 2727

Add parentheses to make true. $36 \div 9-3=6$

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Problem 2728

Where on $(-\infty, 0)$ does $f(x)=\frac{25 x^{2}+3 x+9}{x}$ take its maximum value, and what is this maximum value?

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Problem 2729

Factor: $3 x^{2}-6 x-24$ $(3 x-8)(x+3)$ $3(x-2)(x+4)$ $3(x+2)(x-4)$ $(3 x+4)(x-6)$

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Problem 2730

$\sum_{k=0}^{\infty} 5(-1.6)^{k}$ is an alternating geometric series, which diverges converges $0^{\infty}$ . $\sum_{k=0}^{\infty} 5(-1.6)^{k}=$ $\square$ Enter DNE for "does not exist" if the series diverges. Question Help: Message instructor

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Problem 2731

Timed Problem Watch Video Stop
Score: 0/5 Current Time: 13.2
Select the expression that is equivalent to $\left(x^{2}+3\right)^{\frac{1}{5}}$
Answer $\sqrt[5]{x^{2}+3}$ $\frac{1}{\sqrt[5]{x^{2}+3}}$ $\frac{1}{\sqrt{\left(x^{2}+3\right)^{5}}}$ $\sqrt{\left(x^{2}+3\right)^{5}}$ Out Keyboard shortcuts

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Problem 2732

Find all solutions to the equation. $2 \sin \left(\frac{1}{2} x\right)-\sqrt{3}=0$
Write your answer in radians in terms of $\pi$ , and use the "or" button as necessary. Example: $x=\frac{\pi}{5}+2 k \pi, k \in \mathbb{Z}$ or $x=\frac{\pi}{7}+k \pi, k \in \mathbb{Z}$ Help with this notation

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Problem 2733

41. a. $e^{-x}=8$ b. $10^{-x}=125$

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Problem 2734

Timed Problem Watch Video Stop
Score: 0/5 Current Time: 1.4
Select the expression that is equivalent to $\frac{1}{3 x^{\frac{1}{2}}}$
Answer $\frac{1}{3 \sqrt{x}}$ $\frac{1}{\sqrt{3 x}}$ $\frac{1}{3 \sqrt{x^{2}}}$ $\frac{1}{\sqrt{3 x^{2}}}$

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Problem 2735

43. a. $10^{5-3 x}=0.041$ b. $10^{2 x-1}=515$

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Problem 2736

Find all solutions to the equation. $\cos 3 x+1=0$
Write your answer in radians in terms of $\pi$ , and use the "or" button as necessary.
Example: $x=\frac{\pi}{5}+2 k \pi, k \in \mathbb{Z}$ or $x=\frac{\pi}{7}+k \pi, k \in \mathbb{Z}$ Help with this notation

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Problem 2737

Time to beat: 200 seconds Best Time: -- Grade: 0\%
Timed Problem Watch Video Stop
Score: $3 / 5$ Current Time: 73.5
Select the expression that is equivalent to $5 x^{-\frac{3}{2}}$
Answer $\frac{1}{\sqrt[3]{5 x^{2}}} \quad \frac{5}{\sqrt[3]{x^{2}}} \quad \frac{1}{\sqrt{5 x^{3}}} \quad \frac{5}{\sqrt{x^{3}}}$ Keyboard shortcuts

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Problem 2738

Find all solutions to the equation. $\tan \left(\frac{1}{2} x\right)-\sqrt{3}=0$
Write your answer in radians in terms of $\pi$ , and use the "or" button as necess
Example: $x=\frac{\pi}{5}+2 k \pi, k \in \mathbb{Z}$ or $x=\frac{\pi}{7}+k \pi, k \in \mathbb{Z}$ Help with this notation

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Problem 2739

$\begin{array}{r}450 \div 0.1= \\ 450 \div 0.01= \\ 450 \div 0.001=\end{array}$

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Problem 2740

Find the quotient of $\frac{1}{4} \div \frac{3}{8}$ in simplest form. $\frac{2}{3}$ $\frac{1}{4}$ $\frac{3}{32}$ $\frac{3}{4}$

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Problem 2741

System C
Line $1: y=\frac{3}{2} x+4$ Line $2: y=\frac{3}{2} x-3$ The system has exactly one solution.
Solution: $\square$ , $\square$ The system has infinitely many solutions. The system has no solution.

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Problem 2742

2. $\left(x^{2}\right)^{4} \cdot 3 x^{5}$

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Problem 2743

Suppose that the relation $T$ is defined as follows. $T=\{(3,0),(5,-3),(1,1),(-6,3)\}$
Give the domain and range of $T$ . Write your answers using set notation. domain $=$ $\square$ range $=$ $\square$

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Problem 2744

The entry used to journalize the payment of an interest-bearing note is a. debit Cash and credit Notes Payable b. debit Notes Payable and Interest Receivable and credit Cash c. debit Notes Payable and Interest Expense and credit Cash d. debit Accounts Payable and credit Cash

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Problem 2745

Use a sum or difference formula to find the exact value of the following. $\sin \frac{11 \pi}{18} \cdot \cos \frac{5 \pi}{18}-\cos \frac{11 \pi}{18} \sin \frac{5 \pi}{18}$

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Problem 2746

Complete the Square. Fill in the number that makes the polynomial a perfect-square quadratic. $x^{2}+18 x+$ $\square$ Divided by $\div$

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Problem 2747

Simplify the expression $3 x^{-2} y^{-5}$ .

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Problem 2748

35. a. $\frac{1}{2} x-2=2$ b. $\frac{1}{2} \log x-\log 100=2$

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Problem 2749

Solve the quadratic equation $3x^{2} + 2x - 10 = 0$ using the quadratic formula.

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Problem 2750

Solve for $y$ . $3 y^{2}+4=-7 y$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution." $y=$ $\square$

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Problem 2751

Question Watch Video Show Examples
The function $f$ is defined by $f(x)=x^{2}-5 x+4 \cos (3 x)$ . The graph of $f$ crosses the $x$ -axis at one point in the interval $[-0.5,3.5]$ . Use a calculator to determine the slope of the tangent line to $f$ at this point, rounded to the nearest thousandth.
Answer Attempt 1 out of 3

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Problem 2752

System C
Line 1: $y=\frac{3}{2} x+4$ Line $2: y=\frac{3}{2} x-3$ The system has exactly one solution.
Solution: $\square$ $\square$ ) The system has infinitely many solutions. The system has no solution.

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Problem 2753

43. $\log (\log x)=1$

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Problem 2754

Simplify. $-3 w-4(3 z-3 w)+6 z$

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Problem 2755

Re-write the quadratic function below in Standard Form $y=-9(x+3)^{2}+2$
Answer Attempt 1 out of 2 $y=$ $\square$ Submit Answer

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Problem 2756

Solve. If there is more than one solution, separate them with a comma. $8+4|3 x+3|=-8$

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Problem 2757

p/student/3440461/25280000/44981e4a638756ec9b307cc86ca08ef3
L'Hopital's Rule Score: 0/1 Penalty: 0.25 off
Question Watch Video
Evaluate $\lim _{x \rightarrow 3} \frac{4 \cos (3 x-9)+2 x}{5 x^{2}+5}$ and write your answer in simplest form.
Answer Attempt 1 out of 2 $\square$ Submit Answer DNE

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Problem 2758

Fill in the table using this function rule. $y=-4 x-2$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}

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Problem 2759

Simplify. $-4 w-(4 x-6 w)-2 x$

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Problem 2760

Simplify $2 \widehat{x}^{-2}$

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Problem 2761

Re-write the quadratic function below in Standard Form $y=-5(x+1)^{2}+7$
Answer Attempt 1 out of 2

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Problem 2762

Find all solutions of the equation in the interval $[0,2 \pi)$ . $2 \sin 2 x+\sqrt{3}=0$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $x=$

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Problem 2763

5. For $\left(2 x^{3}+5 x^{2}-k x+9\right) \div(x+3)$ , determine the value of $k$ if the remainder is 6 .

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Problem 2764

Suppose that $\tan \theta=-\frac{15}{8}$ and $\frac{\pi}{2}<\theta<\pi$ . Find the exact values of $\sin \frac{\theta}{2}$ and $\tan \frac{\theta}{2}$ . $\sin \frac{\theta}{2}=$ $\square$ $\tan \frac{\theta}{2}=$ $\square$

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Problem 2765

Reduce the rational expression to lowest terms. Identify all numbers that must $b$ excluded from the domain of the given rational expression. $\frac{2 t-8}{t^{2}-16}$

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Problem 2766

If $f(x)=5 x^{2}+8$ and $g(x)=7 x+a$ , find a so that the graph of $f \circ g$ crosses the $y$ -axis at 53 .
What is the value of a? $\mathrm{a}=$ $\square$ (Use reduced fractions or integers. Use commas to separate values.)

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Problem 2767

Which of the following is the inverse of the matrix $\left[\begin{array}{ll}1 & 1 \\ 4 & 2\end{array}\right]$ ? $\left[\begin{array}{cc}-2 & 1 \\ 4 & -1\end{array}\right]$ $\left[\begin{array}{cc}\frac{1}{2} & \frac{1}{4} \\ -1 & 1\end{array}\right]$ $\left[\begin{array}{ll}4 & 2 \\ 1 & 1\end{array}\right]$ $\left[\begin{array}{cc}-1 & \frac{1}{2} \\ 2 & -\frac{1}{2}\end{array}\right]$ Previous

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Problem 2768

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sqrt{1+\cot x}=\csc x$
Write your answer(s) in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $x=$ $\square$

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Problem 2769

$\left(\frac{3 x^{4}}{y^{6}}\right)^{5}$

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Problem 2770

$\int \sin 5 x \cdot \cos 3 x d x$

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Problem 2771

Distance and Midpoint
Find the distance between $(2,-3)$ and $(5,0)$ . $\sqrt{ } 2$ $\sqrt{ } 18$ $\sqrt{ } 13$ $\sqrt{ } 26$

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Problem 2772

Rewrite $\cot \left(\sin ^{-1} \frac{w}{\sqrt{9+w^{2}}}\right)$ as an algebraic expression in $w$ . $\cot \left(\sin ^{-1} \frac{w}{\sqrt{9+w^{2}}}\right)=$ $\sqrt{\square}$

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Problem 2773

The population of a fish farm in is modeled by the equation $P(t)=\frac{6000}{2+18 e^{-0.6 t}}$ where $t$ is time in years. Part 1 What is the size of the initial population? $\square$ fish help (numbers)

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Problem 2774

竣, Spolve for $z$ . $\begin{array}{l} \frac{2}{3} z=2+\frac{3}{2} z-\frac{1}{2} \\ z=\square \end{array}$ Submit

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Problem 2775

This is the only question in this section.
Question Watch Vid
Write the following expression as a simplified polynomial in standard form. $3(x+2)^{2}+5(x+2)-5$

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Problem 2776

$\begin{array}{l} 5-\frac{2}{5} f+\frac{3}{2} f=f-\frac{1}{2} f+4 \\ f=\square \end{array}$
Submit

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Problem 2777

竑 $\begin{array}{l} \frac{5}{4} q=\frac{1}{3} q-\frac{2}{3}+2 \\ q=\square \end{array}$ Submit

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Problem 2778

Question
Factor. $x^{2}+3 x-18$

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Problem 2779

Question
Factor completely. $3 x^{2}-9 x-12$

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Problem 2780

Distance and Mldpoint
Find the distance between $(0,0)$ and $(-5,-4)$ . V21 $\sqrt{ } 38$ V17 V41

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Problem 2781

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\csc \theta=\frac{3}{2}$
If there is more than one solution, separate them with commas. Do not round any intermediate computations. Give your answer(s) in radians, and round your answer(s) to the nearest hundredth. $\theta=$ $\square$ ㅁ, ,...

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Problem 2782

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\cos \theta=-0.4262$
If there is more than one solution, separate them with commas. Do not round any intermediate computations. Give your answer(s) in radians, and round your answer(s) to the nearest hundredth. $\theta=$ $\square$ ロ,ם,...

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Problem 2783

$\lim _{n \rightarrow \infty} e^{1 / n}-e^{1 /(n+1)}$

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Problem 2784

Video
Put these numbers in order from least to greatest. $-4 \frac{18}{30}$ $4 \frac{4}{10}$ $-0.4$

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Problem 2785

Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. \begin{tabular}{|c|c|} \hline System A $\begin{aligned} x+3 y & =6 \\ -x-3 y & =-6 \end{aligned}$ & The system has no solution. The system has a unique solution: $(x, y)=$ $\square$ ］） The system has infinitely many solutions. They must satisfy the following equation: $y=$ $\square$ \\ \hline System B $\begin{array}{r} x+2 y=4 \\ -x-2 y=4 \end{array}$ & The system has no solution. The system has a unique solution: $(x, y)=(\square, \square)$ The system has infinitely many solutions. They must satisfy the following equation: $y=$ $\square$ \\ \hline \end{tabular}

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Problem 2786

The variables $z_{1}$ and $z_{2}$ are defined as $z_{1}=6+3 i$ and $z_{2}=10+8 i$ . Which expression is equivalent to $z_{1} z_{2}$ ? A. $84+78 i$ B. $36+78 i$ C. $60+54 i$ D. $16+11 i$

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Problem 2787

Distance and Midpoint
Find the midpoint for the segment with endpoints of $(3,2)$ and $(9,6)$ . $(9,6)$ $(6,4)$ $(12,8)$ $(2,9)$ $(8,4)$

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Problem 2788

Solve by quadratic formula $x^{2}-6 x+53=0$

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Problem 2789

Find all solutions of the equation in the interval $[0,2 \pi)$ . $-\sqrt{1-\tan x}=\sec x$
Write your answer(s) in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $x=$ $\square$

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Problem 2790

Question
Solve for $x$ , rounding to the nearest hundredth. $e^{3 x}=4$
Answer Attempt 1 out of 2

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Problem 2791

Evaluate the line integral, where $C$ is the given curve. $\int_{C} x \sin (y) d s, C \text { is the line segment from }(0,3) \text { to }(4,6)$

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Problem 2792

Distance and Midpoint
Find the midpoint for the segment with endpoints of $(-2,0)$ and $(4,-6)$ . $(2,-1)$ $(2,-4)$ $(1,-4)$ $(2,-3)$ $(1,-3)$

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Problem 2793

14. Determine the points of discontinuity for the following rational fyuction. $y=\frac{x+6}{x^{2}+9 x+18}$

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Problem 2794

$\begin{array}{l}\left\{\begin{array}{l}y=-5 x+6 \\ y=3 x-2\end{array}\right. \\ x=\square \\ y=\square\end{array}$ $\square$ $\square$

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Problem 2795

16. Describe each transformation in $h(x)=-(3 x-5)+2$ as it relates to the parent function. (4 pts) m̈n+h $\text { , }{ }_{0}, 30$

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Problem 2796

a. $\frac{50}{3}=16 \frac{2}{3}$ (Simplify your answer. Type an integer, proper fraction, or mixed number.) b. $-\frac{281}{100}=$ $\square$ (Simplify your answer. Type an integer, proper fraction, or mixed number.)

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Problem 2797

Solve for $x$ . Give an exact answer. $\begin{array}{l} 0.5(5-7 x)=8-(4 x+6) \\ x=\square \end{array}$

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Problem 2798

$\frac{4}{9} \div\left|\frac{1}{8}+\frac{1}{2}\right|$

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Problem 2799

Which of the following equations hav exactly one solution?
Choose all answers that apply: A $2 x-31=2 x-31$ B $2 x-31=-2 x-31$ (c) $2 x+31=2 x-31$ (D) $2 x-2=2 x-31$

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Problem 2800

Find the least common multiple of these two expressions. $6 x^{6} v^{3} \text { and } 9 x^{7} v^{5} w^{2}$

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Math Statement

Problem 2701

Find the indefinite integral ∫xx2+6dx\int \frac{x}{x^{2}+6} d x∫x2+6x​dx. (Notice the +C+C+C is already provided.) +C+C+C

Problem 2702

Problem 2703

Problem 2704

Problem 2705

Problem 2706

Problem 2707

Problem 2708

Problem 2709

Problem 2710

Problem 2711

Find the root of each equation. (hessan 3=23=23=29. x+8=0x+8=0x+8=010. 4x−24=04 x-24=04x−24=011. 18+8x=018+8 x=018+8x=012. 35x−12=0\frac{3}{5} x-\frac{1}{2}=053​x−21​=0

Problem 2712

Find all solutions of the equation in the interval [0,2π)[0,2 \pi)[0,2π). 4sin⁡2x=5+4cos⁡x4 \sin ^{2} x=5+4 \cos x4sin2x=5+4cosxWrite your answer in radians in terms of π\piπ. If there is more than one solution, separate them with co

Problem 2713

Question Watch Video Show ExamplesEvaluate the left hand side to find the value of aaa in the equation in simplest form. x65x=xax^{\frac{6}{5}} x=x^{a}x56​x=xaAnswer Attempt 2 out of 4 □\square□ Submit Answer

Problem 2714

Evaluate the left hand side to find the value of aaa in the equation in x45x54=xax^{\frac{4}{5}} x^{\frac{5}{4}}=x^{a}x54​x45​=xaAnswer Attempt 1 out of 4

Problem 2715

Factor the following four-term polynomial by grouping. 6x+18+xy+3y6x+18+xy+3y=\begin{array}{r} 6 x+18+x y+3 y \\ 6 x+18+x y+3 y= \end{array}6x+18+xy+3y6x+18+xy+3y=​ □\square□ (Factor completely.)

Problem 2716

Problem 2717

Simplify the following expression: 10+−496\frac{10+\sqrt{-49}}{6}610+−49​​. Give your answer in the form a+bia+b ia+bi □\square□ Question Help: Message instructor Submit Question

Problem 2718

Problem 2719

Evaluate. ∫e7x(e7x+7)4dx=\int \frac{e^{7 x}}{\left(e^{7 x}+7\right)^{4}} d x=∫(e7x+7)4e7x​dx= □\square□

Problem 2720

Given that f(x)=x2−5x−36f(x)=x^{2}-5 x-36f(x)=x2−5x−36 and g(x)=x−9g(x)=x-9g(x)=x−9, find f(x)÷g(x)f(x) \div g(x)f(x)÷g(x) and express the result as a polynomial in simplest form.

Problem 2721

Problem 2722

3/123 / 123/12Factor (3x−10)(x+6)(3 x-10)(x+6)(3x−10)(x+6) (5x−8)(x+7)(5 x-8)(x+7)(5x−8)(x+7) (x−8)(5x−4)(x-8)(5 x-4)(x−8)(5x−4) (5x−8)(x−4)(5 x-8)(x-4)(5x−8)(x−4)

Problem 2723

Match the quadratic function with its graph. f(x)=4−x2f(x)=4-x^{2}f(x)=4−x2

Problem 2724

ess the following fraction in simplest form using only positive 15h3(h3)2\frac{15 h}{3\left(h^{3}\right)^{2}}3(h3)215h​

Problem 2725

Factor: 4h2−17h+44 h^{2}-17 h+44h2−17h+4 (h−4)(4h−1)(h-4)(4 h-1)(h−4)(4h−1) (2h−2)(2h+2)(2 h-2)(2 h+2)(2h−2)(2h+2) (2h−2)2(2 h-2)^{2}(2h−2)2 4(h+4)(h+1)4(h+4)(h+1)4(h+4)(h+1)

Problem 2726

31. a. log⁡713\log _{7} 13log7​13 b. log⁡2556\log _{2} 556log2​556

Problem 2727

Add parentheses to make true. 36÷9−3=636 \div 9-3=636÷9−3=6

Problem 2728

Where on (−∞,0)(-\infty, 0)(−∞,0) does f(x)=25x2+3x+9xf(x)=\frac{25 x^{2}+3 x+9}{x}f(x)=x25x2+3x+9​ take its maximum value, and what is this maximum value?

Problem 2729

Factor: 3x2−6x−243 x^{2}-6 x-243x2−6x−24 (3x−8)(x+3)(3 x-8)(x+3)(3x−8)(x+3) 3(x−2)(x+4)3(x-2)(x+4)3(x−2)(x+4) 3(x+2)(x−4)3(x+2)(x-4)3(x+2)(x−4) (3x+4)(x−6)(3 x+4)(x-6)(3x+4)(x−6)

Problem 2730

Problem 2731

Problem 2732

Problem 2733

41. a. e−x=8e^{-x}=8e−x=8 b. 10−x=12510^{-x}=12510−x=125

Problem 2734

Timed Problem Watch Video StopScore: 0/5 Current Time: 1.4Select the expression that is equivalent to 13x12\frac{1}{3 x^{\frac{1}{2}}}3x21​1​Answer 13x\frac{1}{3 \sqrt{x}}3x​1​ 13x\frac{1}{\sqrt{3 x}}3x​1​ 13x2\frac{1}{3 \sqrt{x^{2}}}3x2​1​ 13x2\frac{1}{\sqrt{3 x^{2}}}3x2​1​

Problem 2735

43. a. 105−3x=0.04110^{5-3 x}=0.041105−3x=0.041 b. 102x−1=51510^{2 x-1}=515102x−1=515

Problem 2736

Problem 2737

Problem 2738

Problem 2739

450÷0.1=450÷0.01=450÷0.001=\begin{array}{r}450 \div 0.1= \\ 450 \div 0.01= \\ 450 \div 0.001=\end{array}450÷0.1=450÷0.01=450÷0.001=​

Problem 2740

Find the quotient of 14÷38\frac{1}{4} \div \frac{3}{8}41​÷83​ in simplest form. 23\frac{2}{3}32​ 14\frac{1}{4}41​ 332\frac{3}{32}323​ 34\frac{3}{4}43​

Problem 2741

System CLine 1:y=32x+41: y=\frac{3}{2} x+41:y=23​x+4 Line 2:y=32x−32: y=\frac{3}{2} x-32:y=23​x−3 The system has exactly one solution.Solution: □\square□ , □\square□ The system has infinitely many solutions. The system has no solution.

Problem 2742

2. (x2)4⋅3x5\left(x^{2}\right)^{4} \cdot 3 x^{5}(x2)4⋅3x5

Problem 2743

Suppose that the relation TTT is defined as follows. T={(3,0),(5,−3),(1,1),(−6,3)}T=\{(3,0),(5,-3),(1,1),(-6,3)\}T={(3,0),(5,−3),(1,1),(−6,3)}Give the domain and range of TTT. Write your answers using set notation. domain === □\square□ range === □\square□

Problem 2744

The entry used to journalize the payment of an interest-bearing note is a. debit Cash and credit Notes Payable b. debit Notes Payable and Interest Receivable and credit Cash c. debit Notes Payable and Interest Expense and credit Cash d. debit Accounts Payable and credit Cash

Problem 2745

Use a sum or difference formula to find the exact value of the following. sin⁡11π18⋅cos⁡5π18−cos⁡11π18sin⁡5π18\sin \frac{11 \pi}{18} \cdot \cos \frac{5 \pi}{18}-\cos \frac{11 \pi}{18} \sin \frac{5 \pi}{18}sin1811π​⋅cos185π​−cos1811π​sin185π​

Problem 2746

Complete the Square. Fill in the number that makes the polynomial a perfect-square quadratic. x2+18x+x^{2}+18 x+x2+18x+ □\square□ Divided by ÷\div÷

Problem 2747

Simplify the expression 3x−2y−53 x^{-2} y^{-5}3x−2y−5.

Problem 2748

35. a. 12x−2=2\frac{1}{2} x-2=221​x−2=2 b. 12log⁡x−log⁡100=2\frac{1}{2} \log x-\log 100=221​logx−log100=2

Problem 2749

Find the indefinite integral $\int \frac{x}{x^{2}+6} d x$ . (Notice the $+C$ is already provided.) $+C$

Find the root of each equation. (hessan $3=2$
9. $x+8=0$
10. $4 x-24=0$
11. $18+8 x=0$
12. $\frac{3}{5} x-\frac{1}{2}=0$

Find all solutions of the equation in the interval $[0,2 \pi)$ . $4 \sin ^{2} x=5+4 \cos x$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with co

Question Watch Video Show Examples
Evaluate the left hand side to find the value of $a$ in the equation in simplest form. $x^{\frac{6}{5}} x=x^{a}$
Answer Attempt 2 out of 4 $\square$ Submit Answer

Evaluate the left hand side to find the value of $a$ in the equation in $x^{\frac{4}{5}} x^{\frac{5}{4}}=x^{a}$
Answer Attempt 1 out of 4

Factor the following four-term polynomial by grouping. $\begin{array}{r} 6 x+18+x y+3 y \\ 6 x+18+x y+3 y= \end{array}$ $\square$ (Factor completely.)

Simplify the following expression: $\frac{10+\sqrt{-49}}{6}$ . Give your answer in the form $a+b i$ $\square$ Question Help: Message instructor Submit Question

Evaluate. $\int \frac{e^{7 x}}{\left(e^{7 x}+7\right)^{4}} d x=$ $\square$

Given that $f(x)=x^{2}-5 x-36$ and $g(x)=x-9$ , find $f(x) \div g(x)$ and express the result as a polynomial in simplest form.

$3 / 12$
Factor $(3 x-10)(x+6)$ $(5 x-8)(x+7)$ $(x-8)(5 x-4)$ $(5 x-8)(x-4)$

Match the quadratic function with its graph. $f(x)=4-x^{2}$

ess the following fraction in simplest form using only positive $\frac{15 h}{3\left(h^{3}\right)^{2}}$

Factor: $4 h^{2}-17 h+4$ $(h-4)(4 h-1)$ $(2 h-2)(2 h+2)$ $(2 h-2)^{2}$ $4(h+4)(h+1)$

31. a. $\log _{7} 13$ b. $\log _{2} 556$

Add parentheses to make true. $36 \div 9-3=6$

Where on $(-\infty, 0)$ does $f(x)=\frac{25 x^{2}+3 x+9}{x}$ take its maximum value, and what is this maximum value?

Factor: $3 x^{2}-6 x-24$ $(3 x-8)(x+3)$ $3(x-2)(x+4)$ $3(x+2)(x-4)$ $(3 x+4)(x-6)$

41. a. $e^{-x}=8$ b. $10^{-x}=125$

Timed Problem Watch Video Stop
Score: 0/5 Current Time: 1.4
Select the expression that is equivalent to $\frac{1}{3 x^{\frac{1}{2}}}$
Answer $\frac{1}{3 \sqrt{x}}$ $\frac{1}{\sqrt{3 x}}$ $\frac{1}{3 \sqrt{x^{2}}}$ $\frac{1}{\sqrt{3 x^{2}}}$

43. a. $10^{5-3 x}=0.041$ b. $10^{2 x-1}=515$

$\begin{array}{r}450 \div 0.1= \\ 450 \div 0.01= \\ 450 \div 0.001=\end{array}$

Find the quotient of $\frac{1}{4} \div \frac{3}{8}$ in simplest form. $\frac{2}{3}$ $\frac{1}{4}$ $\frac{3}{32}$ $\frac{3}{4}$

System C
Line $1: y=\frac{3}{2} x+4$ Line $2: y=\frac{3}{2} x-3$ The system has exactly one solution.
Solution: $\square$ , $\square$ The system has infinitely many solutions. The system has no solution.

2. $\left(x^{2}\right)^{4} \cdot 3 x^{5}$

Suppose that the relation $T$ is defined as follows. $T=\{(3,0),(5,-3),(1,1),(-6,3)\}$
Give the domain and range of $T$ . Write your answers using set notation. domain $=$ $\square$ range $=$ $\square$

Use a sum or difference formula to find the exact value of the following. $\sin \frac{11 \pi}{18} \cdot \cos \frac{5 \pi}{18}-\cos \frac{11 \pi}{18} \sin \frac{5 \pi}{18}$

Complete the Square. Fill in the number that makes the polynomial a perfect-square quadratic. $x^{2}+18 x+$ $\square$ Divided by $\div$

Simplify the expression $3 x^{-2} y^{-5}$ .

35. a. $\frac{1}{2} x-2=2$ b. $\frac{1}{2} \log x-\log 100=2$

Solve the quadratic equation $3x^{2} + 2x - 10 = 0$ using the quadratic formula.

Solve for $y$ . $3 y^{2}+4=-7 y$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution." $y=$ $\square$

System C
Line 1: $y=\frac{3}{2} x+4$ Line $2: y=\frac{3}{2} x-3$ The system has exactly one solution.
Solution: $\square$ $\square$ ) The system has infinitely many solutions. The system has no solution.

43. $\log (\log x)=1$

Simplify. $-3 w-4(3 z-3 w)+6 z$

Re-write the quadratic function below in Standard Form $y=-9(x+3)^{2}+2$
Answer Attempt 1 out of 2 $y=$ $\square$ Submit Answer

Solve. If there is more than one solution, separate them with a comma. $8+4|3 x+3|=-8$

Fill in the table using this function rule. $y=-4 x-2$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}

Simplify. $-4 w-(4 x-6 w)-2 x$

Simplify $2 \widehat{x}^{-2}$

Re-write the quadratic function below in Standard Form $y=-5(x+1)^{2}+7$
Answer Attempt 1 out of 2

Find all solutions of the equation in the interval $[0,2 \pi)$ . $2 \sin 2 x+\sqrt{3}=0$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $x=$

5. For $\left(2 x^{3}+5 x^{2}-k x+9\right) \div(x+3)$ , determine the value of $k$ if the remainder is 6 .

Reduce the rational expression to lowest terms. Identify all numbers that must $b$ excluded from the domain of the given rational expression. $\frac{2 t-8}{t^{2}-16}$

If $f(x)=5 x^{2}+8$ and $g(x)=7 x+a$ , find a so that the graph of $f \circ g$ crosses the $y$ -axis at 53 .
What is the value of a? $\mathrm{a}=$ $\square$ (Use reduced fractions or integers. Use commas to separate values.)

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sqrt{1+\cot x}=\csc x$
Write your answer(s) in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $x=$ $\square$

$\left(\frac{3 x^{4}}{y^{6}}\right)^{5}$

$\int \sin 5 x \cdot \cos 3 x d x$

Distance and Midpoint
Find the distance between $(2,-3)$ and $(5,0)$ . $\sqrt{ } 2$ $\sqrt{ } 18$ $\sqrt{ } 13$ $\sqrt{ } 26$

Rewrite $\cot \left(\sin ^{-1} \frac{w}{\sqrt{9+w^{2}}}\right)$ as an algebraic expression in $w$ . $\cot \left(\sin ^{-1} \frac{w}{\sqrt{9+w^{2}}}\right)=$ $\sqrt{\square}$

The population of a fish farm in is modeled by the equation $P(t)=\frac{6000}{2+18 e^{-0.6 t}}$ where $t$ is time in years. Part 1 What is the size of the initial population? $\square$ fish help (numbers)

竣, Spolve for $z$ . $\begin{array}{l} \frac{2}{3} z=2+\frac{3}{2} z-\frac{1}{2} \\ z=\square \end{array}$ Submit