Math Statement

Problem 23101

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

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Problem 23102

Find the derivatives of these functions:
1. $y=\cot x+\sec ^{2} x+5$
2. $y=\frac{1}{\sec x+1}$ or $y=\frac{\sec (x-1)}{\sec x+1}$ .

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Problem 23103

Find the derivative of $f(x)=-x^{2}+9x-6$ using the limit definition: $\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$ .

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Problem 23104

Calculate the product: $-5 \cdot (-4) \cdot 7$ .

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Problem 23105

Calculate the product of $-13$ and $-12$ .

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Problem 23106

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

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Problem 23107

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

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Problem 23108

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

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Problem 23109

$\int \frac{dx}{x\sqrt{324x^2 - 324}} = \square$

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Problem 23110

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

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Problem 23111

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

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Problem 23112

6. Use an appropriate compound angle formula to determine an exact value for each of the following: a) $\cos \frac{7 \pi}{12}$

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Problem 23113

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

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Problem 23114

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

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Problem 23115

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

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Problem 23116

6. [6 marks] Find the values of $x$ at which the function $f(x) = (x^2 - 3x)^5$ has horizontal tangent lines.

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Problem 23117

b. $\sin (4 x)$ d. $\sin x$
5. Which expression is NOT equal to $1+\sin 21 ?$ a. $(\sin t+\cos t)^{2}$ c. $1+2 \sin !\cos !$ b. $\sin ^{2} t+\sin 2 t$ d. $\sin ^{2} t+2 \sin t \cos t+\cos ^{2} t$

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Problem 23118

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

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Problem 23119

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

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Problem 23120

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

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Problem 23121

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

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Problem 23122

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

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Problem 23123

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

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Problem 23124

Question 5 (1 point) $\frac{1}{\cot^2\theta} + \sec\theta \cos\theta$
csc²θ tan²θ sec²θ 1

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Problem 23125

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

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Problem 23126

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

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Problem 23127

$\frac{6534}{3241}$

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Problem 23128

Multiply: $-2 \times 60=$ $\square$ Submit

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Problem 23129

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

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Problem 23130

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

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Problem 23131

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

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Problem 23132

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

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Problem 23133

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

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Problem 23134

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

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Problem 23135

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

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Problem 23136

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

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Problem 23137

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

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Problem 23138

Write in terms of the cofunction. 15) $\cos{47^{\circ}}$

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Problem 23139

Find $\frac{d r}{d \theta}$ . $\begin{array}{c} r=5 \sec \theta \csc \theta \\ \frac{d r}{d \theta}=5 \sec ^{2} \theta-5 \csc ^{2} \theta \end{array}$

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Problem 23140

$\lim _{x \rightarrow 0} \frac{\ln (1+x)+x}{x^{2}}$

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Problem 23141

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

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Problem 23142

Given the function $f^{\prime}(x)=x^{3}-21 x$ , determine all intervals on which $f$ is increasing.

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Problem 23143

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

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Problem 23144

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

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Problem 23145

Convert $40^{\circ}$ to radians. $\square$ radians

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Problem 23146

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? $H_0: \sigma = 110$ $H_1: \sigma > 110$
Is the hypothesis test left-tailed, right-tailed, or two-tailed? Right-tailed test Two-tailed test Left-tailed test
What parameter is being tested? Population proportion Population standard deviation Population mean

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Problem 23147

$\int \frac{1}{(9x-8)^2} dx$
Use a change of variables or the table of general integration formulas to evaluate the following indefinite integral. Check your work by differentiating. Click the icon to view the table of general integration formulas.

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Problem 23148

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

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Problem 23149

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

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Problem 23150

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

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Problem 23151

$9\overline{)6895}$

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Problem 23152

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

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Problem 23153

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

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Problem 23154

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

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Problem 23155

Question 23
4p
Evaluate $\int_1^5 (2x - 3e^x + \frac{4}{x})dx$ . Round your answer to three decimal places
-420.957 -422.957 -406.647 -410.647

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Problem 23156

$\int_1^5 |4x - 8| dx$
(Simplify your answer.)
Use geometry to evaluate the integral.

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Problem 23157

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

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Problem 23158

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

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Problem 23159

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

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Problem 23160

5. $\cos^2{x} + 2 = -10\cos{x}$

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Problem 23161

Find the Radius $R$ and Interval $I$ of convergence for the given power series.
$\sum_{n=1}^{\infty} \frac{4^n (x+7)^n}{n!}$
$R =$
$I =$
If the interval is just a single point, enter just the number: i.e., if your answer is $\{-12\}$ , enter just $-12$ .

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Problem 23162

5] $\cot x - \sqrt{3} = 0$

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Problem 23163

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

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Problem 23164

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

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Problem 23165

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

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Problem 23166

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

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Problem 23167

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

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Problem 23168

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

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Problem 23169

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

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Problem 23170

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

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Problem 23171

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

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Problem 23172

4. $28 \div 32$

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Problem 23173

4. $28 \div 32$

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Problem 23174

The function $f(x)$ is twice differentiable on the closed interval $[-3, 4]$ . Selected values of $f(x)$ , $f'(x)$ , and $f''(x)$ are given in the table above.
A) Show that there must be a value $c$ , $-3 < c < 4$ , such that $f(c) = 1$ ? Justify your answer.

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Problem 23175

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

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Problem 23176

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

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Problem 23177

$\int_{0}^{\infty} \frac{e^{-\sqrt{x}}}{\sqrt{x}} dx =$

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Problem 23178

$\int_0^{\frac{\pi}{3}} \cos^{-1}(3x) dx$

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Problem 23179

7. Add or subtract in the indicated base.
$101010_2$ $- 111011_2$

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Problem 23180

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

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Problem 23181

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

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Problem 23182

Question Solve the following equation for $\theta$ on the interval $[0,2 \pi)$ . $-5 \tan (\theta)+1=-4$
Enter an exact answer, in radians.

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Problem 23183

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

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Problem 23184

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

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Problem 23185

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

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Problem 23186

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

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Problem 23187

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

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Problem 23188

Find the Taylor series for $f(x)$ centered at the given value of $a$ . [Assume that $f$ has a power series expansion. Do not show that $R_{n}(x) \rightarrow 0$ .] $\begin{array}{c} f(x)=\sin (x), \quad a=\pi \\ f(x)=\sum_{n=0}^{\infty}(-1)^{n} \cdot \frac{x^{2 n}}{(2 n)!} \end{array}$

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Problem 23189

3. $\qquad$ What is the reference angle for $150^{\circ}$ ? (A) $150^{\circ}$ (B) $60^{\circ}$ (C) $-210^{\circ}$ (D) $30^{\circ}$

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Problem 23190

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

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Problem 23191

$\lim _{x \rightarrow-1} \frac{x^{3}+4 x^{2}-3}{x^{5}+5}$

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Problem 23192

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

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Problem 23193

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

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Problem 23194

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

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Problem 23195

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

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Problem 23196

$25 x-10 x y=$ $\square$ (Factor completely.)

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Problem 23197

Question 4 of 10 Complete the square to solve the equation below. $x^2 - 10x - 2 = 17$
A. $x = 6 + \sqrt{30}$ ; $x = 6 - \sqrt{30}$ B. $x = 5 + \sqrt{29}$ ; $x = 5 - \sqrt{29}$ C. $x = 5 + \sqrt{44}$ ; $x = 5 - \sqrt{44}$ D. $x = 5 + \sqrt{55}$ ; $x = 5 - \sqrt{55}$ SUBMIT

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Problem 23198

Question 6 of 10 Which choices are solutions to the following equation? Check all that apply. $x^2 - 5x = -\frac{9}{4}$ A. $x = 2$ B. $x = 4.5$ C. $x = 0.5$ D. $x = -1$

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Problem 23199

Question 7 of 10 What number must be added to the expression below to complete the square? $x^2 + 7x$ A. $\frac{7}{2}$ B. 7 C. 49 D. $\frac{49}{4}$ SUBMIT

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Problem 23200

Question 1 of 10 What is the discriminant of the polynomial below? $2x^2 + 5x - 8$ A. 31 B. -59 C. 89 D. -39 SUBMIT

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1 ...229 230 231 232 233 234 235 ...269

Math Statement

Problem 23101

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

Problem 23102

Find the derivatives of these functions: 1. y=cot⁡x+sec⁡2x+5y=\cot x+\sec ^{2} x+5y=cotx+sec2x+5 2. y=1sec⁡x+1y=\frac{1}{\sec x+1}y=secx+11​ or y=sec⁡(x−1)sec⁡x+1y=\frac{\sec (x-1)}{\sec x+1}y=secx+1sec(x−1)​.

Problem 23103

Find the derivative of f(x)=−x2+9x−6f(x)=-x^{2}+9x-6f(x)=−x2+9x−6 using the limit definition: lim⁡h→0f(x+h)−f(x)h\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}limh→0​hf(x+h)−f(x)​.

Problem 23104

Calculate the product: −5⋅(−4)⋅7-5 \cdot (-4) \cdot 7−5⋅(−4)⋅7.

Problem 23105

Calculate the product of −13-13−13 and −12-12−12.

Problem 23106

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

Problem 23107

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

Problem 23108

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

Problem 23109

∫dxx324x2−324=□\int \frac{dx}{x\sqrt{324x^2 - 324}} = \square∫x324x2−324​dx​=□

Problem 23110

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

Problem 23111

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

Problem 23112

6. Use an appropriate compound angle formula to determine an exact value for each of the following: a) cos⁡7π12\cos \frac{7 \pi}{12}cos127π​

Problem 23113

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

Problem 23114

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

Problem 23115

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

Problem 23116

6. [6 marks] Find the values of xxx at which the function f(x)=(x2−3x)5f(x) = (x^2 - 3x)^5f(x)=(x2−3x)5 has horizontal tangent lines.

Problem 23117

Problem 23118

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

Problem 23119

Problem 23120

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

Problem 23121

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

Problem 23122

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

Problem 23123

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

Problem 23124

Question 5 (1 point) 1cot⁡2θ+sec⁡θcos⁡θ\frac{1}{\cot^2\theta} + \sec\theta \cos\thetacot2θ1​+secθcosθcsc2θ tan2θ sec2θ 1

Problem 23125

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

Problem 23126

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

Problem 23127

65343241\frac{6534}{3241}32416534​

Problem 23128

Multiply: −2×60=-2 \times 60=−2×60= □\square□ Submit

Problem 23129

Problem 23130

Problem 23131

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

Problem 23132

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

Problem 23133

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

Problem 23134

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

Problem 23135

Problem 23136

Problem 23137

Problem 23138

Write in terms of the cofunction. 15) cos⁡47∘\cos{47^{\circ}}cos47∘

Problem 23139

Find drdθ\frac{d r}{d \theta}dθdr​. r=5sec⁡θcsc⁡θdrdθ=5sec⁡2θ−5csc⁡2θ\begin{array}{c} r=5 \sec \theta \csc \theta \\ \frac{d r}{d \theta}=5 \sec ^{2} \theta-5 \csc ^{2} \theta \end{array}r=5secθcscθdθdr​=5sec2θ−5csc2θ​

Problem 23140

lim⁡x→0ln⁡(1+x)+xx2\lim _{x \rightarrow 0} \frac{\ln (1+x)+x}{x^{2}}limx→0​x2ln(1+x)+x​

Problem 23141

Problem 23142

Given the function f′(x)=x3−21xf^{\prime}(x)=x^{3}-21 xf′(x)=x3−21x, determine all intervals on which fff is increasing.

Problem 23143

Use the change-of-base formula and a calculator to evaluate the log⁡560log⁡560≈\begin{array}{c} \log _{5} 60 \\ \log _{5} 60 \approx \end{array}log5​60log5​60≈​ □\square□ (Simplify your answer. Round to three decimal places as needec

Problem 23144

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

Find the derivatives of these functions:
1. $y=\cot x+\sec ^{2} x+5$
2. $y=\frac{1}{\sec x+1}$ or $y=\frac{\sec (x-1)}{\sec x+1}$ .

Find the derivative of $f(x)=-x^{2}+9x-6$ using the limit definition: $\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$ .

Calculate the product: $-5 \cdot (-4) \cdot 7$ .

Calculate the product of $-13$ and $-12$ .

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

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

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

$\int \frac{dx}{x\sqrt{324x^2 - 324}} = \square$

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

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

6. Use an appropriate compound angle formula to determine an exact value for each of the following: a) $\cos \frac{7 \pi}{12}$

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

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

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

6. [6 marks] Find the values of $x$ at which the function $f(x) = (x^2 - 3x)^5$ has horizontal tangent lines.

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

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

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

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

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

Question 5 (1 point) $\frac{1}{\cot^2\theta} + \sec\theta \cos\theta$
csc²θ tan²θ sec²θ 1

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

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

$\frac{6534}{3241}$

Multiply: $-2 \times 60=$ $\square$ Submit

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

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

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

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

Write in terms of the cofunction. 15) $\cos{47^{\circ}}$

Find $\frac{d r}{d \theta}$ . $\begin{array}{c} r=5 \sec \theta \csc \theta \\ \frac{d r}{d \theta}=5 \sec ^{2} \theta-5 \csc ^{2} \theta \end{array}$

$\lim _{x \rightarrow 0} \frac{\ln (1+x)+x}{x^{2}}$

Given the function $f^{\prime}(x)=x^{3}-21 x$ , determine all intervals on which $f$ is increasing.

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

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

Convert $40^{\circ}$ to radians. $\square$ radians

$\int \frac{1}{(9x-8)^2} dx$
Use a change of variables or the table of general integration formulas to evaluate the following indefinite integral. Check your work by differentiating. Click the icon to view the table of general integration formulas.

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

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

$9\overline{)6895}$

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

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

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

Question 23
4p
Evaluate $\int_1^5 (2x - 3e^x + \frac{4}{x})dx$ . Round your answer to three decimal places
-420.957 -422.957 -406.647 -410.647

$\int_1^5 |4x - 8| dx$
(Simplify your answer.)
Use geometry to evaluate the integral.

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

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

5. $\cos^2{x} + 2 = -10\cos{x}$

5] $\cot x - \sqrt{3} = 0$

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

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

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

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

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

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

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

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

4. $28 \div 32$

4. $28 \div 32$