Algebra

Problem 2701

Fill in each blank so that the resulting statement is true. In the following long division problem, the first two steps have been completed. \begin{array}{r} 2 x \\ 4 x - 5 \longdiv { 8 x ^ { 2 } + 8 x - 4 } \\ 8 x^{2}-10 x \end{array}
The next step is to subtract \qquad from \qquad , which obtains \qquad . Then bring down \qquad and form the new dividend \qquad
The next step is to subtract \square from \square , which obtains \square . Then bring down \square and form the new dividend . \square

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Problem 2702

f(t)=2t4+3ttf(t)=\frac{2 t-4+3 \sqrt{t}}{\sqrt{t}}

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Problem 2703

Solve the following equation for bb. Be sure to take into account whether a letter is capitalized or not. fb=Qf b=Q
Answer Attempt 1 out of 2 b=b= \square Submit Answer

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Problem 2704

BIG IDI: IS MATH CHLOEROGERS \#22 i Listen
Check whether the product ABA B is possible. A=[58323096],B=[10835472]A=\left[\begin{array}{llll} 5 & 8 & -3 & 2 \\ 3 & 0 & -9 & 6 \end{array}\right], B=\left[\begin{array}{ll} -1 & 0 \\ 8 & 3 \\ -5 & 4 \\ 7 & 2 \end{array}\right] Possible Not possible
If possible, state the dimensions of ABA B. If it is not possible, leave the box empty.
The dimensions of ABA B are 2×22 \times 2 Previous 17

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Problem 2705

9.6. Find the eigenvalues and eigenvectors of the matrix A=[1011]A=\left[\begin{array}{ll} 1 & 0 \\ 1 & 1 \end{array}\right]
If AA is diagonalizable, find a matrix PP and a diagonal matrix DD such that P1AP=P^{-1} A P= D.

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Problem 2706

Question 12
Simplify 11xx210x+25+9x5\frac{11 x}{x^{2}-10 x+25}+\frac{9}{x-5} State the sum in simplest form. \square Calculator

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Problem 2707

Graph the equation. y=2x+7y=2|x+7|

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Problem 2708

If the function f(x)=xf(x)=|x| is translated right 4 units and up 3 units, how will the domain and range of the function change? a. The domain will become D:{xx4}D:\{x \mid x \geq 4\} and the range will become R:{yy3}R:\{y \mid y \geq 3\} b. The domain will become D:{xx4}D:\{x \mid x \geq-4\} and the range will become R:{yy3}R:\{y \mid y \geq 3\} c. The domain will become D:{xx4}D:\{x \mid x \geq 4\} and the range will become R:{yR:\{y \mid all real numbers }\} d. The domain will become DD : {x\{x all real numbers }\} and the range will become R:{yy3}R:\{y \mid y \geq 3\} a b c d

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Problem 2709

You are choosing between two differènt cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $29.95\$ 29.95 plus 10 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the nearest whole minute.

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Problem 2710

13. You run 0.4 kilometer in 2 minutes. Your friend runs 0.5 kilometer in 3 minutes. Who runs faster? How much sooner will that person finish a 3.1-kilometer race?

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Problem 2711

3. 7{3+12÷3518}2+107-\{3+12 \div 3 \cdot 5-18\}^{2}+10

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Problem 2712

(1) y=f(x)<y=f(x)< form of cartesian equation a) x=2ty=4t2x=2 t \quad y=4 t^{2}

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Problem 2713

Determine the asymptote of the function: y=5x+42y=5^{x+4}-2. a) y=2y=-2 y=5x+42y=5^{x+4}-2 b) x=2x=-2 x-int x \text {-int } c) y=4y=-4 0=5x+420=5^{x+4}-2 d) x=4x=-4 e) y=5y=5

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Problem 2714

Divide using long division. State the quotient, q(x)\mathrm{q}(\mathrm{x}), and the remainder, r(x)\mathrm{r}(\mathrm{x}). (15x211x3)÷(3x4)\left(15 x^{2}-11 x-3\right) \div(3 x-4) (Simplify your answers. Do not factor.)

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Problem 2715

Determine the real values of xx that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative. f(x)=xx+12f(x)=x \sqrt{x+12} (a) What valtes of xx cause the function to be zero? \square (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

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Problem 2716

A streaming device costs $25\$ 25. The monthly cost for service is $12\$ 12. Which function represents the total cost, f(x)f(x), for xx months of service? A. f(x)=12x+25f(x)=12 x+25 B. f(x)=25x+12f(x)=25 x+12 c. f(x)=12x25f(x)=12 x-25

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Problem 2717

d the expression to a polynomial in standard form: (3x24x+5)(3x22x+2)\left(3 x^{2}-4 x+5\right)\left(-3 x^{2}-2 x+2\right)

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Problem 2718

Translating a phrase into a two-step expression
Translate this phrase into an algebraic expression. 7 more than twice Josefina's score Use the variable jj to represent Josefina's score. \square ++
×\times \square

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Problem 2719

Determine the real values of xx that cause the function to be (a) zero, (b) undefined, (c) positive, f(x)=xx+12f(x)=x \sqrt{x+12} A. x=12x=-12 B. x<12x<12 C. x<12x<-12 D. x=12x=12 (c) What value(s) of x cause the function to be positive? Choose the correct answer below. A. (,12)(12,)(\infty,-12) \cup(12, \infty) B. (12,)(-12, \infty) C. (12,)(12, \infty) D. (0,)(0, \infty)

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Problem 2720

Next Question stion 5 were 39 balloons at the beginning of a party. By the end of the party, cc of them had popped. Using cc, write an expression for the number of balloons that left. \square (D) Need help with this question? Question Check Answer

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Problem 2721

Aaliyah went into a grocery store and bought 5 peaches and 6 mangos, costing a total of $17.75\$ 17.75. Tristan went into the same grocery store and bought 2 peaches and 3 mangos, costing a total of \$8. Write a system of equations that could be used to determine the price of each peach and the price of each mango. Define the variables that yoù use to write the system.
Answer Attempt 1 out of 2
Let \square \square
Let \square \square System of Equations: \square \square

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Problem 2722

x2+10x+20=4x^{2}+10 x+20=4

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Problem 2723

Divide using synthetic division. (5x2+x22)÷(x2)\left(5 x^{2}+x-22\right) \div(x-2) \square (Simplify your answer. Use integers or fractions for any numbers in the expression. Do not factor.)

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Problem 2724

Use the distributive property to clear parentheses. 5(6c+1)=5(6 c+1)=

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Problem 2725

Write the equation of this line in slope-intercept form.

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Problem 2726

Factor out the greatest common factor. 8p+88 p+8
The factored form of 8p+88 p+8 is \square

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Problem 2727

Simplify by clearing parentheses and combining like terms. 4(y+7)28=4(y+7)-28=

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Problem 2728

Suppose that f(x)=1+3xf(x)=1+3^{x}. (a) Sketch a graph of ff. Then sketch the graph of f1(x)f^{-1}(x) on the same coordinate axes. Remember, inverse functions switch their xx and yy values. To do this, it may be easiest to make a table of values for ff, and then reverse those values (switching xx and yy columns) for f1f^{-1}.

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Problem 2729

1-2 Solve each equation or formula for the variable indicated.
8. u=vw+zu=v w+z, for vv (9) x=bcdx=b-c d, for cc
10. fg9h=10jf g-9 h=10 j, for gg
11. 10mp=n10 m-p=-n, for mm

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Problem 2730

The graph below shows a transformation of y=2xy=2^{x}.
Write an equation of the form y=a2x+ky=a \cdot 2^{x}+k for the graph above. yy - \square Enter an algebraic expression [more..]

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Problem 2731

below
Find a formula for the exponential function passing through the points f(x)=f(x)=\square Enter an algebraic expression [more..]

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Problem 2732

x26x+10=8x^{2}-6 x+10=8

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Problem 2733

Solve the system by the addition method. x+y=4xy=2\begin{array}{l} x+y=4 \\ x-y=-2 \end{array}

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Problem 2734

Solve the proportion. 3x4=65\frac{3 x}{4}=\frac{6}{5} x=x= \square (Type an integer or a simplified fraction.)

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Problem 2735

Subtract. Write your answer in simplest form. 2887-\sqrt{28}-8 \sqrt{7}

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Problem 2736

Evaluate the number. P(2,2)P(2,2)

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Problem 2737

1. The profit of Johnny's Tires at time tt is calculated by the function P(t)=P(t)= 169(3t+5)17169(3 t+5)^{\frac{1}{7}}, where PP is measured in millions of dollar. The Number of tires in production is calculated by N(t)=13(3t+5)19N(t)=13(3 t+5)^{\frac{1}{9}}. Determine a function for the profit per tire J(t)J(t) by finding (PN)(t)\left(\frac{P}{N}\right)(t). Simplify your answer.

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Problem 2738

7. (MIP Identify Structure Determine the rate of change for a horizontal line. Explain why this rate of change makes sense.

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Problem 2739

1 Peaches cost $6\$ 6 for a 3 pound bag. If peaches cost less per pound than apples but more per pound than oranges, which of the following could be the price per pound of apples and oranges?
4 apples are $2.21\$ 2.21 per pound and oranges are $1.71\$ 1.71 per pound 4 apples are $2.00\$ 2.00 per pound and oranges are $1.71\$ 1.71 per pound 4 apples are $1.71\$ 1.71 per pound and oranges are $2.21\$ 2.21 per pound 4 apples are $2.21\$ 2.21 per pound and oranges are $2.43\$ 2.43 per pound

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Problem 2740

Which answer choice shows the equation below written in a different form? 93=69-3=6

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Problem 2741

9.14. let AA be a 4×44 \times 4 matrix with eigenvalues 2 and -2 each with multiplicity 2. Find Rank(A),Nullity(A),Tr(A),det(A)\operatorname{Rank}(A), \operatorname{Nullity}(A), \operatorname{Tr}(A), \operatorname{det}(A).

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Problem 2742

Solve the given system of equations 5x+2y5z=62x4y+2z=44x5y+4z=17\begin{array}{l} 5 x+2 y-5 z=-6 \\ 2 x-4 y+2 z=-4 \\ 4 x-5 y+4 z=-17 \end{array}

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Problem 2743

i-Ready Algebraic Expressions with Exponents - Quiz - Level F
Write (4t)5(4 t)^{5} without exponents.

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Problem 2744

near function in which the rate of change 3 and the initial value is -10 . You wrote the quation y=3x+(10)y=-3 x+(-10) to represent the nction. Your classmate wrote y=3x1y=-3 x-1 ho is correct? Justify your response.

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Problem 2745

Question Watch Video Show Examples
A rocket is launched from a tower. The height of the rocket, yy in feet, is related to the time after launch, xx in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 10oth of second. y=16x2+110x+77y=-16 x^{2}+110 x+77
Answer Attempt 1 out of 20 \square Submit Answer

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Problem 2746

Solve the given system of equations. 3x+2y3z=132x4y+2z=144x5y+4z=16\begin{array}{l} 3 x+2 y-3 z=-13 \\ 2 x-4 y+2 z=-14 \\ 4 x-5 y+4 z=-16 \end{array}
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is {(,,)}\{(\square, \square, \square)\}. (Simplify your answers.) B. There are infinitely many solutions. C. There is no solution.

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Problem 2747

18. 5v+39|5 v+3| \geqslant-9

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Problem 2748

Transformation: y=(x+1)32y=(x+1)^{3}-2

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Problem 2749

A roller skating rink charges a skate rental fee and an hourly rate to skate. The total cost to skate for 2 hours is $9.50\$ 9.50 and for 5 hours is $18.50\$ 18.50. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+by=m x+b where xx represents the number of hours and yy represents the total cost. (Example 3)

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Problem 2750

Taryn conducted a science experiment on saturation. She added sugar to a sugar-water solution at different intervals. The graph shows how much sugar was in the solution at different times.
Which equation represents Taryn's situation, where xx is the number of minutes and yy is the tablespoons of sugar? y=x+1y=x+1 y=2x+1y=2 x+1 y=xy=x y=12x+1y=\frac{1}{2} x+1

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Problem 2751

Practice Go Online (3. A cleaning service charges an initial fee plus an hourly rate. The total cost for different numbers of hours, including the initial fee, is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+by=m x+b. (Example 1) y=28x+20y=28 x+20

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Problem 2752

Complete the process of solving the equation. Fill in the missing term on each line. Simplify any fractions. \begin{tabular}{|l|l|} \hline 6b+1=76 b+1=7 & \\ 6b6 b & ==\square \\ I˙\dot{I} & ==\square \\ Subtract 1 from both sides \\ & Divide both sides by 6 \end{tabular}

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Problem 2753

Graph all vertical and horizontal asymptotes of the rational function. f(x)=3x+2x2+4f(x)=\frac{3 x+2}{x^{2}+4} Explanation Check

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Problem 2754

Find the transpose of the matrix. [1151621312182101116]\left[\begin{array}{rrrr}-1 & 15 & 16 & 2 \\ 13 & 12 & -1 & 8 \\ -2 & 10 & 11 & 16\end{array}\right]
Choose the transpose. A. [113215121016111]\left[\begin{array}{rrr}-1 & 13 & -2 \\ 15 & 12 & 10 \\ 16 & -1 & 11\end{array}\right] B. [1121115116168221310]\left[\begin{array}{rrr}-1 & 12 & 11 \\ 15 & -1 & 16 \\ 16 & 8 & -2 \\ 2 & 13 & 10\end{array}\right] C. [115162\left[\begin{array}{r}-1 \\ 15 \\ 16 \\ 2\end{array}\right.

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Problem 2755

Multiply. Assume that all variables represent positive real numbers. (cb)(c+b)(\sqrt{c}-b)(\sqrt{c}+b) (cb)(c+b)=(\sqrt{c}-b)(\sqrt{c}+b)= \square (Simplify your answer.)

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Problem 2756

Graph all vertical and horkzum f(x)=x23x4x22x+1f(x)=\frac{x^{2}-3 x-4}{x^{2}-2 x+1} Explanation Check

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Problem 2757

Rationalize the denominator. 627627=\begin{array}{c} \frac{6}{2-\sqrt{7}} \\ \frac{6}{2-\sqrt{7}}= \end{array} \square (Simplify your answer. Type an exact answer, using radicals as needed.)

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Problem 2758

[5x665y]=[4y664y]x=,y=\begin{array}{l} {\left[\begin{array}{rr} 5 x & 6 \\ 6 & 5 y \end{array}\right]=\left[\begin{array}{rr} 4 y & 6 \\ 6 & 4 y \end{array}\right]} \\ x=\square, y=\square \end{array} \square y=y= \square (Type integers or simplified fractions.)

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Problem 2759

Do Homework - 5.4 \& 5.5 Linear L60 CRN 11181 Chealsey 5 Linear and Question 6, 5.4.C6 HW Score: 14.71\%, 2.5 of 17 points Points: 0 of 1
When solving {x2+5y2=49xy=6\left\{\begin{array}{l}x^{2}+5 y^{2}=49 \\ x y=6\end{array}\right. by the substitution method we can eliminate yy by solving the second equation for yy. We obta y=y= \qquad Then we substitute \qquad for \qquad in the first equation.
Fill in the blank

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Problem 2760

6x27x53x2+x10\frac{6x^{2} - 7x - 5}{3x^{2} + x - 10}

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Problem 2761

Question Watch Video
Write the quadratic equation in standard form: 2x2x+16=x2 x^{2}-x+16=x

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Problem 2762

y=2x+1x+2 y = \frac{2x + 1}{x + 2}
What are the restrictions?

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Problem 2763

What value of rr is a solution to this equation? 7r+19=89r=10r=12\begin{array}{l} 7 r+19=89 \\ r=10 \quad r=12 \end{array} Submit

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Problem 2764

Solve the system by the substitution method xy=303xy=9\begin{aligned} x y & =30 \\ 3 x-y & =-9 \end{aligned}

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Problem 2765

What value of rr is a solution to this equation? 10+r3=1410+\frac{r}{3}=14 r=12r=-12 r=12r=12

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Problem 2766

Solve for cc. 2c+2=62 c+2=6 c=c= \square Submit

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Problem 2767

Write an expression for the function \square Enter abs(X) for x|x|. Question Help: \square Submit question

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Problem 2768

Solve for yy. 3y14=1y=\begin{array}{l} 3 y-14=1 \\ y=\square \end{array} Submit

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Problem 2769

Determine if (4,9,4)(4,-9,4) is a solution of the system. x+y+z=1x2yz=182xy2z=9\begin{aligned} x+y+z & =-1 \\ x-2 y-z & =18 \\ 2 x-y-2 z & =9 \end{aligned}
Choose the correct answer below. The ordered triple is a solution to the system. The ordered triple is not a solution to the system.

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Problem 2770

Evaluate the expression when p=7p=7. 3p23 p^{2}

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Problem 2771

Find all excluded values for the expression. That is, find all values of ww for which the expression is undefined. w2+7w+10w2+4w+4\frac{w^{2}+7 w+10}{w^{2}+4 w+4}
If there is more than one value, separate them with commas.

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Problem 2772

Use Gauss elimination {x+2yz=33xy+2z=82x+y3z=5\left\{\begin{array}{l} x+2 y-z=-3 \\ 3 x-y+2 z=8 \\ 2 x+y-3 z=-5 \end{array}\right.

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Problem 2773

Fill in the table

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Problem 2774

Determine the exponential function whose graph is given.

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Problem 2775

Question Show Examples
Using the rational root theorem, list out all possible/candidate rational roots of f(x)=3x422x310x216x+10f(x)=-3 x^{4}-22 x^{3}-10 x^{2}-16 x+10. Express your answer as integers or as fractions in simplest form. Use commas to separate.
Answer \square Submit Answer \square

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Problem 2776

What are the leading coefficient and degree of the polynomial? 12x+x4+10x21512 x+x^{4}+10 x^{2}-15

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Problem 2777

Vame: \qquad stella Gitbs practice 3. 6 Additional Practice Scan for Multimedia eveled Practice In 1-10, write equivalent expressions. 0
2. 2(9p12)=2\left(9 p-\frac{1}{2}\right)= \square p- \square

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Problem 2778

Write the partial fraction decomposition of the rational expression. x(x+5)(x+3)x(x+5)(x+3)=\begin{array}{l} \frac{x}{(x+5)(x+3)} \\ \frac{x}{(x+5)(x+3)}= \end{array} \square (Use integers or fractions for any numbers in the expression.)

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Problem 2779

16) 1=x+8221=\frac{x+8}{22}

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Problem 2780

For which values of x is the expression undefined? x2166x6\frac{x^{2}-16}{6 x-6}
Answer (†) Additional Solution No Solution x=x= \square Submit Answer

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Problem 2781

15) 6=8+p4-6=-8+\frac{p}{4}

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Problem 2782

Suppose that g(x)=3x+3\mathrm{g}(\mathrm{x})=3^{\mathrm{x}}+3. (a) What is g(1)\mathrm{g}(-1) ? When x=1\mathrm{x}=-1, what is the point on the graph of g ? (b) If g(x)=12\mathrm{g}(\mathrm{x})=12, what is x ? When g(x)=12\mathrm{g}(\mathrm{x})=12, what is the point on the graph of g ?

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Problem 2783

13) 1=x+6261=\frac{x+6}{26}

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Problem 2784

onal Practice Scan for Multimedia - write equivalent expressions.

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Problem 2785

- Q11: Solve for x:x+4=10x:|x+4|=10. - Q12: Solve for x:3x5=2x+1x:|3 x-5|=2 x+1.

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Problem 2786

The function D(h)=6e0.38 hD(h)=6 e^{-0.38 \mathrm{~h}} can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug has been administered. How many milligrams will be present after 1 hour? After 4 hours?
After 1 hour, there will be \square milligrams. (Round to two decimal places as needed.)

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Problem 2787

The equation y=logbxy=\log _{b} x is equivalent to the exponential form \square x>0,b>0,b1x>0, b>0, b \neq 1. bx=yyx=byb=xxy=bby=xxb=y\begin{array}{l} b^{x}=y \\ y^{x}=b \\ y^{b}=x \\ x^{y}=b \\ b^{y}=x \\ x^{b}=y \end{array}

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Problem 2788

For the quadratic function f(x)=x2+8x+16f(x)=x^{2}+8 x+16, answer parts (a) through ( ff ).
The vertex is (4,0)(-4,0). (Type an ordered pair, using integers or fractions.) What is the equation of the axis of symmetry? The axis of symmetry is x=4x=-4. (Use integers or fractions for any numbers in the equation.) Is the graph concave up or concave down?
Concave up Concave down (b) Find the yy-intercept and the x-intercepts, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The xx-intercept(s) is/are 4,16-4,16. \square (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

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Problem 2789

2. A 4.0 kg block of wood sits on a table (Figure 5). A string is tied to the wood, running over a pulley and down to a hanging object. The greatest mass that can be hung from the string without moving the block of wood is 1.8 kg . Calculate the coefficient of static friction between the block of wood and the table. \square [ans: 0.45]
Figure 5

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Problem 2790

Determine whether the function given in the table is linear, exponential, or neither. If the function is linear, find a linear function that models the data; if it is exponential, find an exponential function that models the data. \begin{tabular}{|c|c|} \hline x\mathbf{x} & f(x)\mathbf{f}(\mathbf{x}) \\ \hline-1 & 1 \\ \hline 0 & 6 \\ \hline 1 & 11 \\ \hline 2 & 16 \\ \hline 3 & 21 \\ \hline \end{tabular}
Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The function is exponential. An exponential function that models the data is f(x)=f(x)= \square \square. (Simplify your answer.) B. The function is linear. A linear function that models the data is f(x)=5x+4f(x)=5 x+4. \square (Simplify your answer.).

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Problem 2791

Use the graph to solve the compound inequality 3y12-3 \leq y_{1} \leq 2. Write your answer in interval notation

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Problem 2792

Solve for vv. (v+4)2=2v2+9v14(v+4)^{2}=2 v^{2}+9 v-14
If there is more than one solution, separate them with commas.

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Problem 2793

Sushmila is buying mehndi supplies. She has a coupon for $5\$ 5 off each package of henna powder. She plans to buy 3 packages of henna powder and 2 squeeze bottles. p=p= price of a package of henna powder s=s= price of a squeeze bottle Which expression represents Sushmila's total cost for the supplies? 3(p5)+2s3(p-5)+2 s 3p5+2s3 p-5+2 s 3(p5+2s)3(p-5+2 s) 3p+2(s5)3 p+2(s-5)

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Problem 2794

44=42b-44=-4-2 b

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Problem 2795

Let x be a number that is more than 10. Write and solve an equation to find the value of x.\text{Let } x \text{ be a number that is more than 10. Write and solve an equation to find the value of } x.
x=10+ax = 10 + a
where a>0\text{where } a > 0
For example, if a=5, then x=10+5=15.\text{For example, if } a = 5, \text{ then } x = 10 + 5 = 15.
Thus, x can be any number greater than 10, such as 11, 12, 13, \text{Thus, } x \text{ can be any number greater than 10, such as 11, 12, 13, \ldots}
The solution is x>10.\text{The solution is } x > 10.

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Problem 2796

Read the description of a proportional relationship.
Zoe is thrilled to be cast as Juliet in her school's production of Romeo and Julier, but she has lot of lines to memorize! There is a proportional relationship between the number of days Zoe has been memorizing her lines, xx, and the total number of lines she has memorized, yy.
The equation that models this relationship is y=5xy=5 x. How many lines will Zoe have memorized after 3 days? Write your answer as a whole number or decimal. \qquad lines

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Problem 2797

Given the functions: f(x)=2xg(x)=3x+4h(x)=15x2+5x20\begin{array}{l} f(x)=2 x \\ g(x)=3 x+4 \\ h(x)=15 x^{2}+5 x-20 \end{array}
Determine each of the following. Give your answers as simplified expressions written in descending order. g(x)+h(x)=3\frac{g(x)+h(x)=}{3}
Find and simplify g(x)+h(x)g(x)+h(x) h(x)g(x)=0\frac{h(x)-g(x)=}{0}
Find and simplify h(x)g(x)h(x)-g(x) f(x)h(x)=f(x) \cdot h(x)=
Find and simplify f(x)h(x)f(x) \cdot h(x) 0\because 0 \square
Find and simplify h(x)g(x)\frac{h(x)}{g(x)}, hint: you will h(x)g(x)=\frac{h(x)}{g(x)}= \square need to factor h(x)h(x) The domain restriction for g(x)f(x)\frac{g(x)}{f(x)} is xx \neq \square 0 σ6\sigma^{6} Question Help: Video

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Problem 2798

Courses ALEKS - Hayleigh Martin - Learn States of Matter Using the ideal equation of state
A reaction at 10.0C10.0^{\circ} \mathrm{C} evolves 456.mmol456 . \mathrm{mmol} of sulfur tetrafluoride gas. Calculate the volume of sulfur tetrafluoride gas that is collected. You can assume the pressure in the room is exactly 1 atm . Be sure your answer has the correc number of significant digits. \square \square 1×101 \times 10

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Problem 2799

In a flash of sheer brilliance, Kenneth invents a time machinel The machine uses a small nuclear reactor to generate the electricity it needs to travel back in time. There is a proportional relationship between how many years Kenneth wants to travel back in time, xx, and how much electricity (in megawatts) his time machine needs, yy.
The equation that models this relationship is y=2xy=2 x. How far back in time can Kenneth's machine travel using 12 megawatts of electricity? Write your answer as a whole number or decimal. \square years

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Problem 2800

Read the description of a proportional relationship.
In a flash of sheer brilliance, Kenneth invents a time machine! The machine uses a small nuclear reactor to generate the electricity it needs to travel back in time. There is a proportional relationship between how many years Kenneth wants to travel back in time, xx, and how much electricity (in megawatts) his time machine needs, yy.
The equation that models this relationship is y=2xy=2 x. How much electricity does Kenneth's time machine need to travel back 8 years? Write your answer as a whole number or decimal. \square megawatts

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