Math Statement

Problem 23301

Score: 1/5 Penalty: 1 off
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Value Equations (Basic) L1
Value Inequalities (Level 1)
Value Equations (Basic) L2 ts \& Graph Absolute Value (No Table Given) 4=3a+44=|-3 a+4|
Solve for all values of aa in simplest form.
Answer Attempt 2 out of 2 ( \oplus Additional Solution Θ\Theta Remove Solution a=0a=0 \square a=a= Submit Answer Still Stuck? Log Out

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Problem 23302

Consider the following functions.
f(x)=xf(x) = x and g(x)=x214g(x) = x^2 - 14
Step 2 of 4: Find (fg)(2)(f - g)(-2).
Answer How to enter your answer (opens in new window)
(fg)(2)=(f - g)(-2) =

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Problem 23303

1 Matching 2 points
The equation 5(13)3x1=105\left(\frac{1}{3}\right)^{3 x-1}=10 is rewritten in the form logbd=c\log _{b} d=c. Find b, d, and c. b \square \qquad c \square \qquad d \square

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Problem 23304

1، a. Identify all possible zeros of the function P(x)=3+x28x+4P(x)=3+x^{2}-8 x+4. b. Use a graphing calculator to prove one of the zeros. SHOW ALL WORK!!! c. Use factoring to find the remaining zeros. SHOW ALL WORK!!!

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Problem 23305

Find the distance between A (4,8)A\ (4, 8) and B (9,3)B\ (-9, 3). Round your answer to two decimal places. units

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Problem 23306

(3x3+7x2+4x1):(x3)\left(-3 x^{3}+7 x^{2}+4 x-1\right):(x-3)
Cociente Resto

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Problem 23307

Determine the indefinite integral. 8e7xdx8e7xdx=\begin{array}{c} \int 8 e^{7 x} d x \\ \int 8 e^{7 x} d x= \end{array} \square

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Problem 23308

2. Factor Completely. x2+2x35x^2 + 2x - 35

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Problem 23309

Evaluate the integral 5csc(x)dx\int 5 \csc (x) d x

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Problem 23310

Efectủa la siguiente división: (x36x25x):(x+2)\left(-x^{3}-6 x^{2}-5 x\right):(x+2)
Cociente Resto

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Problem 23311

3x2=4y+53 x-2=4 y+5

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Problem 23312

15. f(x)=sinx21f(x) = \sin\sqrt{x^2 - 1}

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Problem 23313

tan(x+y+z)=tanx+tany+tanztanxtanytanz1tanxtanytanxtanztanytanz\tan (x+y+z) = \frac{\tan x + \tan y + \tan z - \tan x \tan y \tan z}{1 - \tan x \tan y - \tan x \tan z - \tan y \tan z}

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Problem 23314

8+124=568 + \boxed{\phantom{12}} \cdot 4 = 56
Calculate the number that should go in the box below.

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Problem 23315

6. 1. Evaluate the following for f(x)={3x5,x2x2,x<2f(x)=\left\{\begin{array}{cc}3 x-5, & x \geq 2 \\ x^{2}, & x<2\end{array}\right. a) f(5)f(-5) b) f(2)f(2) c) f(5)f(5)

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Problem 23316

1. limx1x+1x+52\lim _{x \rightarrow-1} \frac{x+1}{\sqrt{x+5}-2}

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Problem 23317

6. (6+5i)+(62i)(6+5i)+(6-2i)

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Problem 23318

Verifica di Matematica, dicembre 2024
A) Dati i punti A(2k;1)A(2k;1), B(k+3;k3)B(k+3;k-3) e C(4k,k)C(4-k,k) Si determini per quali valori del parametro reale kk:
1)il punto medio di ABAB appartiene all'asse xx (1 punto) 2)il segmento ACAC non interseca l'asse yy (1 punto) 3)il baricentro del triangolo ABCABC si trova sulla retta di equazione y=1xy=1-x (1 punto)

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Problem 23319

Use the Power Property of Logarithms to write each logarithm as a product of logarithms. Simplify, if possible. a) log1287=\log _{12} 8^{7}= \square b) log(x7)=\log \left(x^{7}\right)= \square

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Problem 23320

The position of a body at time tsec\mathrm{t} \sec is s=t39t2+24tm\mathrm{s}=\mathrm{t}^{3}-9 \mathrm{t}^{2}+24 \mathrm{t} \mathrm{m}. Find the body's acceleration each time the velocity is zero.
The body's acceleration each time the velocity is zero is \square m/s2\mathrm{m} / \mathrm{s}^{2} (Simplify your answer. Use a comma to separate answers as needed.)

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Problem 23321

Expand the logarithm fully using the properties of logs. Express the final answer in terms of logx\log{x}, logy\log{y}, and logz\log{z}.
logyzx53\log{\frac{y}{\sqrt[3]{zx^5}}}

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Problem 23322

Solve for xx and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( \varnothing ), leave the number line blank. 3x226 and 3x2<313 x-2 \leq-26 \text { and } 3 x-2<31

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Problem 23323

For the given functions, f(x)=x2+3f(x) = x^2 + 3 and g(x)=5x3g(x) = 5x - 3, find the indicated composition. Write your answer by filling-in the blanks.
a. (fg)(x)=(f \circ g)(x) =
b. (fg)(4)=(f \circ g)(4) =
Moving to another question will save this response.
Question 21 of 23

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Problem 23324

16. Convert to the indicated base. a) 110121101_{2} To base 5 b) 243 s To base 2

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Problem 23325

Solve for xx and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( \varnothing ), leave the number line blank. 2x+1030 or 2x+10>342 x+10 \geq 30 \text { or } 2 x+10>34

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Problem 23326

Divide using long division. 3x4+3x3+3x5x4\frac{3x^4 + 3x^3 + 3x - 5}{x - 4} Enter the quotient (without the remainder).
Quotient:
Enter the remainder. For example, if the remainder is 10, enter 10. If there is no remainder, enter 0.
Remainder:

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Problem 23327

Find the first four terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.
an=7n26n10a_n = -7n^2 - 6n - 10

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Problem 23328

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

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Problem 23329

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

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Problem 23330

Find the value of 52+(62)25^{2}+(6-2)^{2}

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Problem 23331

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

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Problem 23332

Solve sin(x)=0.7\sin(x) = 0.7 on 0x<2π0 \le x < 2\pi.
There are two solutions, A and B, with A<BA < B.
A =
B =
Give your answers accurate to 3 decimal places.

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Problem 23333

Return the question paper and blue book at the (b) Approximate 00.41+x\int_{0}^{0.4} \sqrt{1+x} of f(x)=ln(3x)f(x)=\ln (3-x) at a=0a=0 and its radius of convergence. x4dxx^{4} d x correct to 5 decimal places. the series 1+π+π22!+π33!+π44!+1+\pi+\frac{\pi^{2}}{2!}+\frac{\pi^{3}}{3!}+\frac{\pi^{4}}{4!}+\ldots the curve x=3costcos3t,y=3sintsin3t,0t3π/2x=3 \cos t-\cos 3 t, y=3 \sin t-\sin 3 t, 0 \leq t \leq 3 \pi / 2. gion bounded by y=2x2y=2-x^{2} and y=xy=x.
6. Evaluate the integral or show that it is divergent. (a) 2dxxlnx\int_{2}^{\infty} \frac{d x}{x \ln x} (b) dx4x2+4x+5\int_{-\infty}^{\infty} \frac{d x}{4 x^{2}+4 x+5}
7. A force of 6x26 x^{-2} newtons moves an object along a straight line when it is xx meters from the origin. Calculate the work done in moving the object from x=4 mx=4 \mathrm{~m} to x=8 mx=8 \mathrm{~m}.
8. Fine the area of the surface obtained by rotating y=5xy=\sqrt{5-x} about the xx-axis for 3x53 \leq x \leq 5.
9. Find the volume generated by y=ex,y=ex,x=1y=e^{x}, y=e^{-x}, x=1, about the yy-axis.

Hint: It may be easier to use the method of cylindrical shells, but you are free to use other methods, provided that you clearly show your work.

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Problem 23334

Given that cotθ=3\cot \theta=-3 and 3π2<θ<2π\frac{3 \pi}{2}<\theta<2 \pi, find the values of the other five trigonometric functions of θ\theta. sinθ=\sin \theta= \square cosθ=\cos \theta= \square tanθ=\tan \theta= \square cscθ=\csc \theta= \square secθ=\sec \theta= \square

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Problem 23335

Find all values of mm for which the equation has two complex (non-real) solutions.
4v+(m+3)=5v24v + (m + 3) = -5v^2
Write your answer starting with mm, followed by an equals sign or inequality symbol (for example, m<5m < 5). Reduce all fractions.

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Problem 23336

123×318=1 \frac{2}{3} \times 3 \frac{1}{8}=

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Problem 23337

Divide. Give the exact answer, written as a decimal. 75)99075 \overline{)990} Submit

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Problem 23338

Graph the line with the equation y=x4y = x - 4.

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Problem 23339

4. What is the value of the expression (13)3\left(\frac{1}{3}\right)^{3} ?
A 33\frac{3}{3} C 19\frac{1}{9} B 16\frac{1}{6} D 127\frac{1}{27}

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Problem 23340

b. (10+i)(39i)(-10+i)(3-9 i) c. (34i)(52i)(3-4 i)-(-5-2 i)

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Problem 23341

Solve each equation. Remember to check for extraneous solutions.
11) a66a2=16a2+a+53a2\frac{a-6}{6a^2} = \frac{1}{6a^2} + \frac{a+5}{3a^2}

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Problem 23342

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

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Problem 23343

Graph the line with the equation y=13x5y = -\frac{1}{3}x - 5.

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Problem 23344

11) Solve cos(2x)=12cos(2x) = \frac{-1}{2}

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Problem 23345

Graph this line using intercepts: 7xy=77x - y = -7 Click to select points on the graph.

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Problem 23346

(5,2);y=x3y=3x+10\begin{aligned}(-5,2) ; y & =-x-3 \\ y & =3 x+10\end{aligned}

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Problem 23347

{8x7y=21x+y=12\left\{\begin{array}{l}8 x-7 y=-21 \\ x+y=-12\end{array}\right.

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Problem 23348

4. What value of rr makes this equation true? 336÷r=48336 \div r=48 a. 7 b. 6 c. 8 d. 9

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Problem 23349

Cube root of an integer
Find the value of 10003\sqrt[3]{1000}.

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Problem 23350

Use the Binomial Theorem to expand the binomial: (2x1y1)4\left(2 x^{-1}-y^{-1}\right)^{4} Submit Question

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Problem 23351

Question Given f(x)=2x26x+20x4f(x) = \frac{-2x^2 - 6x + 20}{x - 4}, which of the following statements are true?
Select the correct answer below: f(x)f(x) has a removable discontinuity at x=4x = 4. f(x)f(x) has a jump discontinuity at x=4x = 4 f(x)f(x) has an infinite discontinuity at x=4x = 4. f(x)f(x) is continuous at x=4x = 4

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Problem 23352

What is the sum of the rational expressions below? 2x+33x+xx+1\frac{2x+3}{3x} + \frac{x}{x+1}
A. 3x2+2x+44x+1\frac{3x^2+2x+4}{4x+1} B. 3x+34x+1\frac{3x+3}{4x+1} C. 2x2+3x3x2+3x\frac{2x^2+3x}{3x^2+3x} D. 5x2+5x+33x2+3x\frac{5x^2+5x+3}{3x^2+3x}

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Problem 23353

(8a7)÷(4a3)=(8a^7) \div (4a^3) =

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Problem 23354

(15c7)÷(3c9)=c(15c^7) \div (3c^9) = \Box c^{\Box}

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Problem 23355

For the polynomial function f(x)=x2(x2)3(x+4)f(x) = x^2(x - 2)^3(x + 4), answer parts a through e.
a. Use the Leading Coefficient Test to determine the graph's end behavior. Which of the following is the correct statement about the end behavior of the given function?
A. The graph falls to the left and to the right. B. The graph rises to the left and to the right. C. The graph rises to the left and falls to the right. D. The graph falls to the left and rises to the right.

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Problem 23356

Two roots of the polynomial function f(x)=x37x6 are 2 and 3f(x)=x^{3}-7 x-6 \text { are }-2 \text { and } 3
Use the fundamental theorem of algebra and the complex conjugate theorem to determine the number and nature of the remaining root(s). Explain your thinking. DONE

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Problem 23357

A)A) 112x213x31 - \frac{1}{2}x^{2} - \frac{1}{3}x^{3} B)B) 112x243x31 - \frac{1}{2}x^{2} - \frac{4}{3}x^{3} C)C) 112x2+23x31 - \frac{1}{2}x^{2} + \frac{2}{3}x^{3} D)D) 112x213x31 - \frac{1}{2}x^{2} - \frac{1}{3}x^{3} E)E) 112x+23x21 - \frac{1}{2}x + \frac{2}{3}x^{2}
6. Déterminez les trois premiers termes non nuls de la série de Maclaurin de (1x)ex(1-x)e^{x}.

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Problem 23358

Verify that the origin is a regular singularity of each of the equations 262-6 and that the roots of the indicial equation (40.38) do not differ by an integer. Find, by the method of Frobenius, two independent solutions of each equation and intervals of convergence.
2. x2y+x(x+12)y+xy=0x^{2} y^{\prime \prime}+x\left(x+\frac{1}{2}\right) y^{\prime}+x y=0.

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Problem 23359

Factor 15w26w315 w^{2}-6 w^{3}

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Problem 23360

Solve for xx:
105x10=72x510^{5x-10} = 7^{2x-5}
x=x =
You may enter the exact value or round to 4 decimal places.

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Problem 23361

Find the Value of xx :- 32x6=102x63^{2 x-6}=10^{2 x-6}

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Problem 23362

10. Are 9x89x \cdot 8 and 81x81x equivalent expressions? Explain.

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Problem 23363

Compare the amplitudes and periods of the functions y=12cosxy=\frac{1}{2} \cos x and y=3cos2xy=3 \cos 2 x.
The amplitude of y=12cosxy=\frac{1}{2} \cos x is \square and the amplitude of y=3cos2xy=3 \cos 2 x is \square .
The period of y=12cosxy=\frac{1}{2} \cos x is \qquad and the period of y=3cos2xy=3 \cos 2 x is \square .

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Problem 23364

Solve the following inequality: 3n<5n+2843n < \frac{5n+28}{4}

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Problem 23365

Represent the vector v\mathbf{v} in the form v=ai+bj\mathbf{v}=\mathrm{a} \mathbf{i}+\mathrm{b} j v=34;θ=225\|\mathbf{v}\|=34 ; \theta=225^{\circ}

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Problem 23366

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

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Problem 23367

11. [6/7 Points]
DETAILS MY NOTES SCOL
Find the factors that are common in the numerator and the r(x)=x2+8x9x2+3x4r(x)=\frac{x^{2}+8 x-9}{x^{2}+3 x-4}

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Problem 23368

P2M5: Find sin(2θ)\sin(2\theta) and cos(2θ)\cos(2\theta), given the following information: sec(θ)=43\sec(\theta) = -\frac{4}{3} and θ\theta is in the 2nd quadrant

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Problem 23369

16) Given that 610=604661766^{10}=60466176, what is 610?6^{-10} ?

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Problem 23370

Determine the location of each local extremum of the function. f(x)=x3+7x2+8x+3f(x)=x^{3}+7 x^{2}+8 x+3 A. Local maximum at 43-\frac{4}{3}; local minimum at -2 B. Local maximum at 2 ; local minimum at 43\frac{4}{3} C. Local maximum at 23\frac{2}{3}; local minimum at 4 D. Local maximum at -4 ; local minimum at 23\frac{-2}{3}

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Problem 23371

Quadratic Equations Unit Test Part 1
Which of the following quadratic equations is not solvable by grouping?
2x22x10=02x^2 - 2x - 10 = 0
2x2+14x+12=02x^2 + 14x + 12 = 0
x22x+1=0x^2 - 2x + 1 = 0
x212x+35=0x^2 - 12x + 35 = 0

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Problem 23372

Find dydx\frac{dy}{dx} for y=2x+3sinxy = \frac{2}{x} + 3\sin{x}.
ddx(2x+3sinx)=2x2+3\frac{d}{dx} \left( \frac{2}{x} + 3\sin{x} \right) = -\frac{2}{x^{-2}} + 3

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Problem 23373

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

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Problem 23374

Find the exact value of the logarithm without using a calculator. log525\log _{5} 25 log525=\log _{5} 25= \square (Type an integer or a simplified Trabtion))

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Problem 23375

f(x)=5x28x2+6x3f(x) = 5x^2 - 8x^{-2} + 6x^{-3}
Find f(x)f'(x).
f(x)=f'(x) =

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Problem 23376

Solve each system of equations a. 3x2+x3y=83x^2 + x - 3y = -8 x+3y=9x + 3y = 9

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Problem 23377

Inverse?
21. a) y=x3y=\sqrt[3]{x}

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Problem 23378

Find the value of the determinant. 1353\left|\begin{array}{ll} -1 & 3 \\ -5 & 3 \end{array}\right|
The value of the determinant is \square

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Problem 23379

Solve the equation using the quadratic formula. x24x+8=0x^{2}-4 x+8=0
The solution set is \square \}. (Simblify vour answer. Type an exact answer, usin

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Problem 23380

Write the first four terms of the sequence defined by an=n2+1a_{n}=n^{2}+1.

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Problem 23381

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

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Problem 23382

29. 6n2=50\quad 6^{n-2}=50

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Problem 23383

Solve the system by elimination. 2x+5y=163x5y=1\begin{array}{l} 2 x+5 y=16 \\ 3 x-5 y=-1 \end{array}
The solution is \square \square ).

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Problem 23384

Subtract (6a352a+9)\left(6 a^{3}-\frac{5}{2} a+9\right) from (7a2+10a15)\left(-7 a^{2}+10 a-15\right).
The result is \square

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Problem 23385

USING EQUATIONS Which of the following are asymptotes of the graph of y=3tan4x?y=3 \tan 4 x ? x=π8x=\frac{\pi}{8} x=π4x=\frac{\pi}{4} x=0x=0 x=5π8x=-\frac{5 \pi}{8}

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Problem 23386

Multiply the polynomials. (y9)(y5)=(y-9)(y-5)=

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Problem 23387

2) 7x2+35xx+5\frac{7x^2 + 35x}{x + 5}

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Problem 23388

Solve for vv.
45v203=8v4\frac{4}{5v - 20} - 3 = -\frac{8}{v - 4}
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

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Problem 23389

Calculate the distance between the points L=(3,1)L=(-3,-1) and K=(5,7)K=(5,-7) in the coordinate plane. Give an exact answer (not a decimal approximation).
Distance: \square
\sqrt{\square} \square \square

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Problem 23390

Question Watch Video
Write the log equation as an exponential equation. You do not need to solve log2x(x23x+14)=3\log _{2 x}\left(x^{2}-3 x+14\right)=3
Answer Attempt 1 out of 2

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Problem 23391

6) 7v+8(7v8)=3797 v+8(7 v-8)=-379

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Problem 23392

Determine la antiderivada para f(x)=5x32xf^{\prime}(x)=\frac{5}{x^{3}}-\frac{2}{x}

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Problem 23393

xlogx12=logx752x \cdot \log_{x} 12 = \log_{x} 75 - 2

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Problem 23394

Suppose that the functions gg and hh are defined as follows. g(x)=x+7h(x)=(x6)(x+6)\begin{array}{l} g(x)=x+7 \\ h(x)=(x-6)(x+6) \end{array} (a) Find (gh)\left(\frac{g}{h}\right) (2). (b) Find all values that are NOT in the domain of gh\frac{g}{h}.
If there is more than one value, separate them with commas. (a) (gh)(2)=\left(\frac{g}{h}\right)(2)= \square (b) Value(s) that are NOT in the domain of gh\frac{g}{h} :

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Problem 23395

In 6-14, solve each equation.
6. t23=2534t-\frac{2}{3}=25 \frac{3}{4}

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Problem 23396

8. 13.27=t24.4513.27=t-24.45

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Problem 23397

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

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Problem 23398

Calculate: 5615=\frac{5}{6}-\frac{1}{5}=

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Problem 23399

What is the sum of 110\frac{1}{10} and 58\frac{5}{8}?

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Problem 23400

Factor the expression: 2x215xy+28y22x^{2} - 15xy + 28y^{2}.

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