Math Statement

Problem 1301

- Q20: Solve and express in interval notation: $|3 x+1| \geq 4$ . - Q21: Solve and express in interval notation: $|2 x-7|>3$ .

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Problem 1302

Complete the sentence.
If the graph of a logarithmic function $f(x)=\log _{a} x, a>0, a \neq 1$ , is increasing, then its base must be larger than $\square$

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Problem 1303

Subtract. $42-0.9=$ Submit

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Problem 1304

Determine $\mathscr{L}^{-1}\{\mathrm{~F}\}$ . $F(s)=\frac{3 s^{3}-4 s^{2}-7 s+28}{s^{3}(s-4)}$

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Problem 1305

16. $3 n-n+7=25$

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Problem 1306

Factors of 61:

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Problem 1307

Find the x-intercepts of the quadratic function $F(x) = 2x^2 + 9x + 4$ .

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Problem 1308

$\frac{3}{6} \times 2=$

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Problem 1309

Question
Which expression is equivalent to $\left(5^{-1}\right)^{2} ?$
Answer $\frac{1}{25}$ 125 5 $\frac{1}{125}$

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Problem 1310

Simplify the expression $a^{2} b^{-1} c^{-8}$ .

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Problem 1311

(a) $2-(-1)=2+$ (b) $3-5=$ $\square$ $+(-5)$

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Problem 1312

Write the complete factored form of $f(x)$ . $f(x)=-3 x^{3}-2 x^{2}+61 x-20 ; \text { zeros: }-5, \frac{1}{3}, 4$ $f(x)=\square$ (Type your answer in factored form. Use integers or fractions

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Problem 1313

Fill in each blank with an integer (sig (a) $-1-\square=-1+(-6)$ (b) $-2-(-3)=-2+$

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Problem 1314

Write the complete factored form of $f(x)$ . $\begin{array}{l} f(x)=-4 x^{3}+13 x^{2}+13 x-4 ; \text { zeros: }-1, \frac{1}{4}, 4 \\ f(x)=\square \end{array}$ $\square$ (Type your answer in factored form. Use integers or fractions

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Problem 1315

$\frac{c}{0.2}+0.9=3.9$

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Problem 1316

Use properties of logarithms to expand each logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. $\ln \sqrt[15]{x}$

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Problem 1317

Write the complex number in the form $a+b i$ . $\sqrt{11}\left(\cos \frac{3 \pi}{2}+i \sin \frac{3 \pi}{2}\right)$

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Problem 1318

$-8 x^{3}\left(10 x^{3} y\right)$
Answer Attempt 1 out of 2

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Problem 1319

$-3 x+2=-10 x+30$
Simplify your answer as much as possible. $x=$

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Problem 1320

Solve for $y$ . $5 y+9=17 y-4 y+81$
Simplify your answer as much as possible.

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Problem 1321

$\frac{3}{8}d + \frac{3}{4}$

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Problem 1322

$\log _{4} 128$

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Problem 1323

Solve the inequality for $w$ . $17<w+6$
Simplify your answer as much as possible.

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Problem 1324

Express the following fraction in simplest form using only posl exponents. $\frac{3(w)^{3}}{2 w^{6}}$

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Problem 1325

$3 e^{\operatorname{fin}} - 3 \sin (6 \pi x)$

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Problem 1326

Factor the algebraic expression. $\begin{array}{r} 40 \mathrm{a}+35 \\ 40 \mathrm{a}+35= \end{array}$ $\square$ (Factor completely.)

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Problem 1327

Rewrite using a single exponent. $\left(4^{8}\right)^{3}$

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Problem 1328

Write the equation in exponential form. Assume that all constants are positive and not equal to 1. $\log _{p}(b)=w$

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Problem 1329

Complex Roots (Lever I)
Score: $3 / 5$ Penalty: none Show Examples
Question What are the roots of the equation $x^{2}+6 x+58=0$ in simplest $a+b i$ form? Attempt 1 out of 2

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Problem 1330

Evaluate. (Be sure to check by differentiating!) $\int x^{4} e^{x^{5}} d x$
Determine a change of variables from x to u . Choose the correct answer below. A. $u=e^{\mathrm{x}}$ B. $u=x^{4} e^{x}$ C. $u=x^{5}$ D. $u=x^{4}$

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Problem 1331

Express the limit as a definite integral on the given interval. $\begin{array}{c} \lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left[5\left(x_{i}^{}\right)^{3}-5 x_{i}^{}\right] \Delta x, \quad[2,6] \\ \left.\int_{2} \square\right) d x \end{array}$

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Problem 1332

4 Mark for Review - -1 - - - -
If the infinite series $\sum_{n=0}^{\infty} a_{n}$ diverges, $S_{n}=\sum_{k=0}^{n} a_{k}$ , and $\lim _{n \rightarrow \infty} b_{n} \neq 0$ , which of the following statements must be true?
1. $\lim _{n \rightarrow \infty} a_{n} \neq 0$
11. $\lim _{n \rightarrow \infty} S_{n}$ does not exist. II. $\sum_{n=0}^{\infty} b_{n}$ diverges. (A) Ionly (B) Il only (C) II and ili only
D I and III only

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Problem 1333

If random samples of the given sizes are drawn from populations with the given proportions, find the mean and standard error of the distribution of differences in sample proportions, $\hat{p}_{1}-\hat{p}_{2}$ . $\begin{array}{c} n_{1}=170 \text { from } p_{1}=0.7 \text { and } n_{2}=140 \text { from } \\ p_{2}=0.4 \end{array}$
Round your answers to three decimal places, if necessary. mean =

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Problem 1334

7) $\left(\frac{-2 a^{2}}{3 y^{3}}\right)^{3}$

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Problem 1335

23-32 Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.
25. $10-2+0.4-0.08+\ldots$

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Problem 1336

x ^ { 2 } + 4 \longdiv { 2 x ^ { 4 } - x ^ { 3 } + 7 x ^ { 2 } - 4 x - 4 }

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Problem 1337

Given the equation of a regression line is $\hat{y}=-4.5 x+7.8$ , what is the best predicted value for $y$ given $x=4.0$ ? Assume that the variables x and y have a significant correlation. $-10.20$ 10.20 $-25.80$ 25.80

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Problem 1338

Simplify the expression: $10+-5 x+-2$ $\square$ Submit

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Problem 1339

Solve the equation: $-6 c+21=81$

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Problem 1340

$-\frac{0.199}{5(0.194)-1}$

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Problem 1341

7. Determine exact solutions for each equation in the interval $x \in[0,2 \pi]$ . a) $\sin ^{2} x-\frac{1}{4}=0$ b) $\cos ^{2} x-\frac{3}{4}=0$ c) $\tan ^{2} x-3=0$ d) $3 \csc ^{2} x-4=0$ 5.4 Solve Trigonometric Equations $\cdot$ MHR 287

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Problem 1342

Question Show Exampl
What are the roots of the equation $9 x^{2}-36 x+37=0$ in simplest $a+b i$ form?
Answer Attempt 1 out of 2. ( Additional Solution $\Theta$ No Solution

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Problem 1343

$-\frac{2}{3}(x+12)+\frac{2}{3} x=-\frac{5}{4} x+2$

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Problem 1344

Enter the correct value for each blank. - Press each hotspot. - Label the corresponding number below with the requested value.
Press to hear a reminder or hint for this problem.
Rewrite the negative exponents as the expression's reciprocal with a positive exponent. Be sure to account for the negative signs on the bases when expanding and evaluating the exponents. $3^{-2}=$ - $27^{0}=$ (2) $(-3)^{0}=$ $\theta$ $(-2)^{-4}=$ $\square$ $\left(\frac{1}{2}\right)^{-3}=$ $\left(-\frac{1}{2}\right)^{4}=$ $\square$

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Problem 1345

1. Rewrite in Fractional/Exponential Form a. $\sqrt{5}$ b. $\sqrt[5]{2}$ c. $\sqrt[2]{6^{3}}$
2. Rewrite in Radical/Root form a. $x^{\frac{2}{3}}$ b. $4^{\frac{5}{7}}$ c. $(10 x)^{\frac{3}{2}}$
3. Simplify each of the following $\frac{\sqrt{32 m^{7} n^{11}}}{\sqrt{28 x^{9} y^{6}}}$ a. b. $4 \sqrt[3]{216 x^{12} y^{15}}$ $\left(-256 x^{3} y^{7}\right)^{\frac{1}{3}}$ c. d. e. $\sqrt[4]{32 x^{5} y^{8}}$ f. $\sqrt[5]{180 m^{16} n^{11}}$

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Problem 1346

SImplify the expression: Videc $8+4 y+3 y+7+6 y+4 y$ $\square$ Submit

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Problem 1347

Question Watch Video Show Examples
Expand the logarithm fully using the properties of logs. Express the final answer in terms of $\log x$ , and $\log y$ . $\log x y^{3}$

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Problem 1348

b) $\frac{14}{15} \div \frac{2}{3} \times \frac{5}{8}+\frac{3}{4}$

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Problem 1349

Simplify the expression: Video $6 h+4 h+6 h-4 h+3 h$ $\square$ Submit

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Problem 1350

26 If $C=G-3 F$ , find the trinomial that represents $C$ when $F=2 x^{2}+6 x-5$ and $G=3 x^{2}+4$ . $\begin{array}{l} F=2 x^{2}+6 x-5+3 x^{2}+4 G=3 x^{2}+4 \\ (2 x+2)(x+3) \end{array}$

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Problem 1351

8. Solve Quadratic Equations Using Zero Factor Property - Q22: Solve for $x: x^{2}-5 x=0$ . - Q23: Solve for $x: 2 x^{2}+7 x=3$ .

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Problem 1352

Score: 1/2 Penalty: 1 off Watch Video Show Example
Question Expand the logarithm fully using the properties of logs. Express the final answer terms of $\log x, \log y$ , and $\log z$ . $\log \frac{y}{x^{4} \sqrt{z^{5}}}$
Answer Attempt 1 out of 2 Submit Answer

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Problem 1353

4. Differentiate: $y=\ln \left(5 x^{2} e^{\frac{1}{x}}\right)$
5. Evaluate $\frac{d^{5} y}{x}$ of the function

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Problem 1354

Find all vertical asymptotes of the following function. $f(x)=\frac{25 x^{2}-64}{15 x+24}$

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Problem 1355

$f(x)=x^{3} \text { and } g(x)=x^{2}+4$
Find the formula for $(g \circ f)(x)$ and simplify your answer.

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Problem 1356

Indicate if the statement is true or false. If it is false, find a counterexample to prove the claim is false. (Recall that a set of number is closed under an operation if it will always produce another number in the same set.)
14. The set of irrational numbers is closed under addition.
15. The set of integers is closed under addition and multiplication.
16. The set of irrational numbers is closed under multiplication.

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Problem 1357

$2 \frac{10}{12}+3 \frac{9}{12}$

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Problem 1358

$\begin{array}{r} 16 a+14=14 \\ 16 a=0 \end{array}$ $a=$ $\square$ Divide both sides by 16

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Problem 1359

$\frac{40}{100}-\frac{1}{10}$

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Problem 1360

17. $\log (4 x+3)+\log (5)=2$

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Problem 1361

$\frac{9}{10}+\frac{30}{100}$

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Problem 1362

$f(x)=\frac{-3 x+3}{x^{2}+9}$

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Problem 1363

Find an equation of the sphere with center $(-4,1,6)$ and radius 9. $\square$ What is the intersection of this sphere with the $y z$ -plane? $\square$ Need Help? Read It Watch it

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Problem 1364

$\frac{4}{7}+\frac{5}{7}$

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Problem 1365

$\frac{5}{21}+\frac{10}{21}$

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Problem 1366

2) $(-2,0) ; \begin{array}{l}8 x-3 y=-16 \\ 50=-9 x-2 y\end{array}$

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Problem 1367

$9 x=19$ and $y=38$

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Problem 1368

$(7,-4) ; \begin{array}{l}9 b+4 a=-8 \\ 6 a+5 b-42=0\end{array}$

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Problem 1369

Find the average value of $g(t)=2^{t}+3$ over the interval $[0,9]$ . Round your answer to the nearest hundredth.
Average Value: $\square$

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Problem 1370

1. Determine the $x$ -intercepts of each function. a) $f(x)=\frac{-3 x}{2 x+5}$

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Problem 1371

B) Check whether $(6,9)$ is a solution of the systems of linear equations. 5) $s+7 t=69$ $6 t+4 s=78$ 6) $\begin{array}{l} -2 p+5 q=34 \\ -7 q=-61-8 p \end{array}$ C) Write a system of linear equations that has the solution $(4,3)$ .

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Problem 1372

Using data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data from this study. ${ }^{1}$ In this case, we are testing $\begin{array}{l} H_{0}: p_{o}=p_{c} \\ H_{a}: p_{o}>p_{c} \end{array}$ where $p_{o}$ and $p_{c}$ represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. We have $n_{1}=n_{2}=500$ . Show all remaining details in the test, using a $5 \%$ significance level.
Effect of Organic Bananas After 15 Days
After 15 days, 345 of the 500 fruit flies eating organic bananas are still alive, while 320 of the 500 eating conventional bananas are still alive. ${ }^{1}$ Proportions approximated from information given in the paper.
Give the test statistic and the $p$ -value.
Round your answers to three decimal places.

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Problem 1373

$x\left(2 x^{-3}\right)$

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Problem 1374

$\lim _{R \rightarrow 9^{-}} \int_{4}^{R} \frac{4}{\sqrt{4-x}}$

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Problem 1375

(Note: This problem is similar to one in your textbook.) Find the average value of $g(t)=e^{2.5 t}+3$ over the interval [1,3].
Average Value: $\square$ Next item

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Problem 1376

Simplify the trigonometric expression. $\frac{1+\sin (y)}{1+\csc (y)}$

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Problem 1377

5. A curve has equation $f(x)=\frac{a}{b+\mathrm{e}^{-c x}} \text { where } a \neq 0 \text { and } b, c>0$ (a) Show that $f^{\prime \prime}(x)=\frac{a c^{2} \mathrm{e}^{-c x}\left(\mathrm{e}^{-c x}-b\right)}{\left(b+\mathrm{e}^{-c x}\right)^{3}}$ (b) Find the coordinates of the point on the curve where $f^{\prime \prime}(x)-0$ . [11 marks (© IB Organization 2003

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Problem 1378

For the real-valued functions $f(x)=\frac{x-6}{x+5}$ and $g(x)=2 x-11$ , $(f \circ g)(x)=$
Domain of $f \circ g$ :

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Problem 1379

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. $\begin{aligned} 5 x+y & =-3 \\ -5 x-y & =3 \end{aligned}$
Answer One Solution No Solutions Submit Answer Infinitely Many Solutions

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Problem 1380

Given $f(x)=-x^{2}+9 x+11$ , find $f(-3)$
Answer $\square$ Submit Answer

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Problem 1381

Find $\frac{d y}{d x}$ . $\frac{y=\sin ^{-1}\left(x^{2}\right)}{d x}=\square$

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Problem 1382

2. Solve algebraically. Check each solution. a) $\frac{x-3}{10}=4 x$ b) $\frac{3}{x}-2=\frac{5}{x}$ c) $\frac{3}{x+2}-\frac{1}{x}=\frac{1}{5 x}$

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Problem 1383

Verify the identity. $\begin{aligned} \csc (x) \cos ^{2}(x) & +\sin (x)=\csc (x) \\ \csc (x) \cos ^{2}(x)+\sin (x) & =\frac{\square}{\sin (x)}+\frac{\sin ^{2}(x)}{\sin (x)} \\ & =\frac{1}{\square} \\ & =\csc (x) \end{aligned}$

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Problem 1384

Solve for $x$ . $\log _{3}(2 x-5)-\log _{3}(x+1)=2$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ 3 . (Simplify your answer. Type an integer or a fraction. Use a comma $\qquad$ para. vers as needed.) B. The solution set is the empty set.

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Problem 1385

Find the domain of the function. $g(x)=\log _{8}(x-4)$
The domain of g is $\square$ $\square$ . (Type your answer in interval notation.)

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Problem 1386

$\sqrt{348}$

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Problem 1387

The following model represents the percentage of people of some country at age A years who say they do volunteer work. $f(A)=-0.0194 A^{2}+1.82 A+9.85$
Complete parts a through d. \begin{tabular}{|c|c|c|} \hline \begin{tabular}{c} Age Group \\ (years) \end{tabular} & \begin{tabular}{c} Age used to \\ represent age \\ group (years) \end{tabular} & Percent \\ \hline $18-24$ & 21.0 & 39 \\ $25-34$ & 29.5 & 45 \\ $35-54$ & 44.5 & 53 \\ $55-64$ & 59.5 & 51 \\ $65-74$ & 69.5 & 45 \\ over 74 & 80.0 & 29 \\ \hline \end{tabular} a. Estimate the percentage of 25 -year-olds who say they volunteer.
The percentage of 25-year-olds who say they volunteer is 43 . (Round to the nearest whole number as needed.) Did you perform interpolation or extrapolation? Extrapolation Interpolation

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Problem 1388

The following model represents the percentage of people of some country at age A years who say they do volunteer work. $f(A)=-0.0194 A^{2}+1.82 A+9.85$
Complete parts a through d. \begin{tabular}{|c|c|c|} \hline \begin{tabular}{c} Age Group \\ (years) \end{tabular} & \begin{tabular}{c} Age used to \\ represent age \\ group (years) \end{tabular} & Percent \\ \hline $18-24$ & 21.0 & 39 \\ $25-34$ & 29.5 & 45 \\ $35-54$ & 44.5 & 53 \\ $55-64$ & 59.5 & 51 \\ $65-74$ & 69.5 & 45 \\ over 74 & 80.0 & 29 \\ \hline \end{tabular} a. Estimate the percentage of 25 -year-olds who say they volunteer.
The percentage of 25-year-olds who say they volunteer is 43 . (Round to the nearest whole number as needed.) Did you perform interpolation or extrapolation? Extrapolation Interpolation b. Estimate the percentage of 13-year-olds who say they volunteer.
The percentage of 13-year-olds who say they volunteer is $\square$ $\square$ . (Round to the nearest whole number as needed.)

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Problem 1389

Given the function $f(x)=-2+5 x^{2}$ , express the value of $\frac{f(x+h)-f(x)}{h}$ in simplest form.
Answer $\square$ Submit Answer

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Problem 1390

$\begin{array}{r}(x+3)\left(x^{3}-4 x+5\right) \\ (x+3)\left(x^{3}-4 x+5\right)=\square\end{array}$

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Problem 1391

Question 17 Time Remaining: 53 mins Next Questior
Given that $f(x)=x^{2}+5 x-36$ and $g(x)=x+9$ , find $(f+g)(x)$ and express the result as a polynomial in simplest form.
Answer $\square$ Submit Answer

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Problem 1392

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

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Problem 1393

Solve the logarithmic equation. Be sure to reject any value of $x$ that is not in the domain of the original logarithmic expressions. Give the exact answer. $\log _{3}(x+7)+\log _{3}(x+5)=1$
Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ \}. (Simplify your answer. Use a comma to separate answers as needed.) B. There are infinitely many solutions. C. There is no solution.

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Problem 1394

Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. $\left\{\begin{array}{rr} 2 x+3 y+4 z & =-29 \\ 5 x-5 y-2 z & =-13 \\ x-2 y & =-6 \end{array}\right.$
Use the Gaussian elimination method to obtain the matrix in row-echelon form. Choose the correct answer below. A. $\left[\begin{array}{rrr|c}1 & -6 & 0 & -2 \\ 0 & 1 & -\frac{2}{5} & \frac{17}{5} \\ 0 & 0 & 1 & -6\end{array}\right]$ B. $\left[\begin{array}{rrr|c}1 & 0 & -2 & -6 \\ 0 & 1 & -\frac{2}{5} & \frac{17}{5} \\ 0 & 0 & 1 & -6\end{array}\right]$ C. $\left[\begin{array}{rrr|r}1 & -2 & 0 & -6 \\ 0 & 1 & \frac{17}{5} & -\frac{2}{5} \\ 0 & 0 & 1 & -6\end{array}\right]$ D. $\left[\begin{array}{rrr|c}1 & -2 & 0 & -6 \\ 0 & 1 & -\frac{2}{5} & \frac{17}{5} \\ 0 & 0 & 1 & -6\end{array}\right]$

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Problem 1395

The half-life of silver-108m is approximately 130 years.
Step 1 of 3 : Determine $a$ so that $A(t)=A_{0} a^{t}$ describes the amount of silver-108m left after $t$ years, where $A_{0}$ is the amount at time $t=0$ . Round to six decimal places.

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Problem 1396

Determine whether the improper integral is convergent or divergent. If the improper integral is convergent, evaluate. $\int_{2}^{\infty} \frac{3}{x^{2}} d x$

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Problem 1397

Let $f(x)=\sqrt{x-8}$ (a) What is the domain of $f$ ?
Domain of $f=$ $\square$ (b) What is the range of $f$ ?
Range of $f=$ $\square$ (c) What is the domain of $f^{-1}$ ?
Domain of $f^{-1}=$ $\square$ (d) What is the range of $f^{-1}$ ?
Range of $f^{-1}=$ $\square$ (e) Find the formula for $f^{-1}(x)$ : $f^{-1}(x)=$ $\square$

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Problem 1398

The exponential model $\mathrm{A}=243.7 e^{0.02 t}$ describes the population, A , of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003.
The population of the country in 2003 was $\square$ million.

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Problem 1399

7) $f(x)=-(x+3)^{2}+2$
Minimum / Maximum Domain: $\qquad$ Range: $\qquad$ x -intercepts: $\qquad$ y-intercept: $\qquad$ Vertex: $\qquad$

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Problem 1400

Assume that the function $f$ is a one-to-one function. (a) If $f(5)=7$ , find $f^{-1}(7)$ .
Your answer is $\square$ (b) If $f^{-1}(-9)=-9$ , find $f(-9)$ .
Your answer is $\square$

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1 ...11 12 13 14 15 16 17 ...269

Math Statement

Problem 1301

- Q20: Solve and express in interval notation: ∣3x+1∣≥4|3 x+1| \geq 4∣3x+1∣≥4. - Q21: Solve and express in interval notation: ∣2x−7∣>3|2 x-7|>3∣2x−7∣>3.

Problem 1302

Complete the sentence.If the graph of a logarithmic function f(x)=log⁡ax,a>0,a≠1f(x)=\log _{a} x, a>0, a \neq 1f(x)=loga​x,a>0,a=1, is increasing, then its base must be larger than □\square□

Problem 1303

Subtract. 42−0.9=42-0.9=42−0.9= Submit

Problem 1304

Determine L−1{ F}\mathscr{L}^{-1}\{\mathrm{~F}\}L−1{ F}. F(s)=3s3−4s2−7s+28s3(s−4)F(s)=\frac{3 s^{3}-4 s^{2}-7 s+28}{s^{3}(s-4)}F(s)=s3(s−4)3s3−4s2−7s+28​

Problem 1305

16. 3n−n+7=253 n-n+7=253n−n+7=25

Problem 1306

Factors of 61:

Problem 1307

Find the x-intercepts of the quadratic function F(x)=2x2+9x+4 F(x) = 2x^2 + 9x + 4 F(x)=2x2+9x+4.

Problem 1308

36×2=\frac{3}{6} \times 2=63​×2=

Problem 1309

QuestionWhich expression is equivalent to (5−1)2?\left(5^{-1}\right)^{2} ?(5−1)2?Answer 125\frac{1}{25}251​ 125 5 1125\frac{1}{125}1251​

Problem 1310

Simplify the expression a2b−1c−8a^{2} b^{-1} c^{-8}a2b−1c−8.

Problem 1311

(a) 2−(−1)=2+2-(-1)=2+2−(−1)=2+ (b) 3−5=3-5=3−5= □\square□ +(−5)+(-5)+(−5)

Problem 1312

Write the complete factored form of f(x)f(x)f(x). f(x)=−3x3−2x2+61x−20; zeros: −5,13,4f(x)=-3 x^{3}-2 x^{2}+61 x-20 ; \text { zeros: }-5, \frac{1}{3}, 4f(x)=−3x3−2x2+61x−20; zeros: −5,31​,4 f(x)=□f(x)=\squaref(x)=□ (Type your answer in factored form. Use integers or fractions

Problem 1313

Fill in each blank with an integer (sig (a) −1−□=−1+(−6)-1-\square=-1+(-6)−1−□=−1+(−6) (b) −2−(−3)=−2+-2-(-3)=-2+−2−(−3)=−2+

Problem 1314

Problem 1315

c0.2+0.9=3.9\frac{c}{0.2}+0.9=3.90.2c​+0.9=3.9

Problem 1316

Use properties of logarithms to expand each logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. ln⁡x15\ln \sqrt[15]{x}ln15x​

Problem 1317

Write the complex number in the form a+bia+b ia+bi. 11(cos⁡3π2+isin⁡3π2)\sqrt{11}\left(\cos \frac{3 \pi}{2}+i \sin \frac{3 \pi}{2}\right)11​(cos23π​+isin23π​)

Problem 1318

−8x3(10x3y)-8 x^{3}\left(10 x^{3} y\right)−8x3(10x3y)Answer Attempt 1 out of 2

Problem 1319

−3x+2=−10x+30-3 x+2=-10 x+30−3x+2=−10x+30Simplify your answer as much as possible. x=x=x=

Problem 1320

Solve for yyy. 5y+9=17y−4y+815 y+9=17 y-4 y+815y+9=17y−4y+81Simplify your answer as much as possible.

Problem 1321

38d+34\frac{3}{8}d + \frac{3}{4}83​d+43​

Problem 1322

log⁡4128\log _{4} 128log4​128

Problem 1323

Solve the inequality for www. 17<w+617<w+617<w+6Simplify your answer as much as possible.

Problem 1324

Express the following fraction in simplest form using only posl exponents. 3(w)32w6\frac{3(w)^{3}}{2 w^{6}}2w63(w)3​

Problem 1325

3efin⁡−3sin⁡(6πx) 3 e^{\operatorname{fin}} - 3 \sin (6 \pi x) 3efin−3sin(6πx)

Problem 1326

Factor the algebraic expression. 40a+3540a+35=\begin{array}{r} 40 \mathrm{a}+35 \\ 40 \mathrm{a}+35= \end{array}40a+3540a+35=​ □\square□ (Factor completely.)

Problem 1327

Rewrite using a single exponent. (48)3\left(4^{8}\right)^{3}(48)3

Problem 1328

Write the equation in exponential form. Assume that all constants are positive and not equal to 1. log⁡p(b)=w\log _{p}(b)=wlogp​(b)=w

Problem 1329

Complex Roots (Lever I)Score: 3/53 / 53/5 Penalty: none Show ExamplesQuestion What are the roots of the equation x2+6x+58=0x^{2}+6 x+58=0x2+6x+58=0 in simplest a+bia+b ia+bi form? Attempt 1 out of 2

Problem 1330

Evaluate. (Be sure to check by differentiating!) ∫x4ex5dx\int x^{4} e^{x^{5}} d x∫x4ex5dxDetermine a change of variables from x to u . Choose the correct answer below. A. u=exu=e^{\mathrm{x}}u=ex B. u=x4exu=x^{4} e^{x}u=x4ex C. u=x5u=x^{5}u=x5 D. u=x4u=x^{4}u=x4

Problem 1331

Problem 1332

Problem 1333

Problem 1334

7) (−2a23y3)3\left(\frac{-2 a^{2}}{3 y^{3}}\right)^{3}(3y3−2a2​)3

Problem 1335

23-32 Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.25. 10−2+0.4−0.08+…10-2+0.4-0.08+\ldots10−2+0.4−0.08+…

Problem 1336

x ^ { 2 } + 4 \longdiv { 2 x ^ { 4 } - x ^ { 3 } + 7 x ^ { 2 } - 4 x - 4 }

Problem 1337

Given the equation of a regression line is y^=−4.5x+7.8\hat{y}=-4.5 x+7.8y^​=−4.5x+7.8, what is the best predicted value for yyy given x=4.0x=4.0x=4.0 ? Assume that the variables x and y have a significant correlation. −10.20-10.20−10.20 10.20 −25.80-25.80−25.80 25.80

Problem 1338

Simplify the expression: 10+−5x+−210+-5 x+-210+−5x+−2 □\square□ Submit

Problem 1339

Solve the equation: −6c+21=81-6 c+21=81−6c+21=81

Problem 1340

−0.1995(0.194)−1-\frac{0.199}{5(0.194)-1}−5(0.194)−10.199​

Problem 1341

Problem 1342

Question Show ExamplWhat are the roots of the equation 9x2−36x+37=09 x^{2}-36 x+37=09x2−36x+37=0 in simplest a+bia+b ia+bi form?Answer Attempt 1 out of 2. ( Additional Solution Θ\ThetaΘ No Solution

- Q20: Solve and express in interval notation: $|3 x+1| \geq 4$ . - Q21: Solve and express in interval notation: $|2 x-7|>3$ .

Complete the sentence.
If the graph of a logarithmic function $f(x)=\log _{a} x, a>0, a \neq 1$ , is increasing, then its base must be larger than $\square$

Subtract. $42-0.9=$ Submit

Determine $\mathscr{L}^{-1}\{\mathrm{~F}\}$ . $F(s)=\frac{3 s^{3}-4 s^{2}-7 s+28}{s^{3}(s-4)}$

16. $3 n-n+7=25$

Find the x-intercepts of the quadratic function $F(x) = 2x^2 + 9x + 4$ .

$\frac{3}{6} \times 2=$

Question
Which expression is equivalent to $\left(5^{-1}\right)^{2} ?$
Answer $\frac{1}{25}$ 125 5 $\frac{1}{125}$

Simplify the expression $a^{2} b^{-1} c^{-8}$ .

(a) $2-(-1)=2+$ (b) $3-5=$ $\square$ $+(-5)$

Write the complete factored form of $f(x)$ . $f(x)=-3 x^{3}-2 x^{2}+61 x-20 ; \text { zeros: }-5, \frac{1}{3}, 4$ $f(x)=\square$ (Type your answer in factored form. Use integers or fractions

Fill in each blank with an integer (sig (a) $-1-\square=-1+(-6)$ (b) $-2-(-3)=-2+$

$\frac{c}{0.2}+0.9=3.9$

Use properties of logarithms to expand each logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. $\ln \sqrt[15]{x}$

Write the complex number in the form $a+b i$ . $\sqrt{11}\left(\cos \frac{3 \pi}{2}+i \sin \frac{3 \pi}{2}\right)$

$-8 x^{3}\left(10 x^{3} y\right)$
Answer Attempt 1 out of 2

$-3 x+2=-10 x+30$
Simplify your answer as much as possible. $x=$

Solve for $y$ . $5 y+9=17 y-4 y+81$
Simplify your answer as much as possible.

$\frac{3}{8}d + \frac{3}{4}$

$\log _{4} 128$

Solve the inequality for $w$ . $17<w+6$
Simplify your answer as much as possible.

Express the following fraction in simplest form using only posl exponents. $\frac{3(w)^{3}}{2 w^{6}}$

$3 e^{\operatorname{fin}} - 3 \sin (6 \pi x)$

Factor the algebraic expression. $\begin{array}{r} 40 \mathrm{a}+35 \\ 40 \mathrm{a}+35= \end{array}$ $\square$ (Factor completely.)

Rewrite using a single exponent. $\left(4^{8}\right)^{3}$

Write the equation in exponential form. Assume that all constants are positive and not equal to 1. $\log _{p}(b)=w$

Complex Roots (Lever I)
Score: $3 / 5$ Penalty: none Show Examples
Question What are the roots of the equation $x^{2}+6 x+58=0$ in simplest $a+b i$ form? Attempt 1 out of 2

Evaluate. (Be sure to check by differentiating!) $\int x^{4} e^{x^{5}} d x$
Determine a change of variables from x to u . Choose the correct answer below. A. $u=e^{\mathrm{x}}$ B. $u=x^{4} e^{x}$ C. $u=x^{5}$ D. $u=x^{4}$

7) $\left(\frac{-2 a^{2}}{3 y^{3}}\right)^{3}$

23-32 Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.
25. $10-2+0.4-0.08+\ldots$

Given the equation of a regression line is $\hat{y}=-4.5 x+7.8$ , what is the best predicted value for $y$ given $x=4.0$ ? Assume that the variables x and y have a significant correlation. $-10.20$ 10.20 $-25.80$ 25.80

Simplify the expression: $10+-5 x+-2$ $\square$ Submit

Solve the equation: $-6 c+21=81$

$-\frac{0.199}{5(0.194)-1}$

Question Show Exampl
What are the roots of the equation $9 x^{2}-36 x+37=0$ in simplest $a+b i$ form?
Answer Attempt 1 out of 2. ( Additional Solution $\Theta$ No Solution

$-\frac{2}{3}(x+12)+\frac{2}{3} x=-\frac{5}{4} x+2$

SImplify the expression: Videc $8+4 y+3 y+7+6 y+4 y$ $\square$ Submit

Question Watch Video Show Examples
Expand the logarithm fully using the properties of logs. Express the final answer in terms of $\log x$ , and $\log y$ . $\log x y^{3}$

b) $\frac{14}{15} \div \frac{2}{3} \times \frac{5}{8}+\frac{3}{4}$

Simplify the expression: Video $6 h+4 h+6 h-4 h+3 h$ $\square$ Submit

8. Solve Quadratic Equations Using Zero Factor Property - Q22: Solve for $x: x^{2}-5 x=0$ . - Q23: Solve for $x: 2 x^{2}+7 x=3$ .

4. Differentiate: $y=\ln \left(5 x^{2} e^{\frac{1}{x}}\right)$
5. Evaluate $\frac{d^{5} y}{x}$ of the function

Find all vertical asymptotes of the following function. $f(x)=\frac{25 x^{2}-64}{15 x+24}$

$f(x)=x^{3} \text { and } g(x)=x^{2}+4$
Find the formula for $(g \circ f)(x)$ and simplify your answer.

$2 \frac{10}{12}+3 \frac{9}{12}$

$\begin{array}{r} 16 a+14=14 \\ 16 a=0 \end{array}$ $a=$ $\square$ Divide both sides by 16

$\frac{40}{100}-\frac{1}{10}$

17. $\log (4 x+3)+\log (5)=2$

$\frac{9}{10}+\frac{30}{100}$

$f(x)=\frac{-3 x+3}{x^{2}+9}$

Find an equation of the sphere with center $(-4,1,6)$ and radius 9. $\square$ What is the intersection of this sphere with the $y z$ -plane? $\square$ Need Help? Read It Watch it

$\frac{4}{7}+\frac{5}{7}$

$\frac{5}{21}+\frac{10}{21}$

2) $(-2,0) ; \begin{array}{l}8 x-3 y=-16 \\ 50=-9 x-2 y\end{array}$

$9 x=19$ and $y=38$

$(7,-4) ; \begin{array}{l}9 b+4 a=-8 \\ 6 a+5 b-42=0\end{array}$

Find the average value of $g(t)=2^{t}+3$ over the interval $[0,9]$ . Round your answer to the nearest hundredth.
Average Value: $\square$

1. Determine the $x$ -intercepts of each function. a) $f(x)=\frac{-3 x}{2 x+5}$

$x\left(2 x^{-3}\right)$

$\lim _{R \rightarrow 9^{-}} \int_{4}^{R} \frac{4}{\sqrt{4-x}}$