Algebra

Problem 2901

(x+3)(x34x+5)(x+3)(x34x+5)=\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 2902

(就) Function AA and Function BB are linear functions.
Function A
Function B \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-10 & -5 \\ \hline 5 & -2 \\ \hline 10 & -1 \\ \hline \end{tabular}
Which statement is true?
The yy-value of Function A when x=5x=-5 is greater than the yy-value of Function BB when x=5x=-5.
The yy-value of Function A when x=5x=-5 is less than the yy-value of Function B when x=5x=-5.

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Problem 2903

Question 17 Time Remaining: 53 mins Next Questior
Given that f(x)=x2+5x36f(x)=x^{2}+5 x-36 and g(x)=x+9g(x)=x+9, find (f+g)(x)(f+g)(x) and express the result as a polynomial in simplest form.
Answer \square Submit Answer

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Problem 2904

Given that f(x)=x25x36f(x)=x^{2}-5 x-36 and g(x)=x9g(x)=x-9, find (fg)(x)(f-g)(x) and express the result as a polynomial in simplest form.

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Problem 2905

Solve the logarithmic equation. Be sure to reject any value of xx that is not in the domain of the original logarithmic expressions. Give the exact answer. log3(x+7)+log3(x+5)=1\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 2906

Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. {2x+3y+4z=295x5y2z=13x2y=6\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. [160201251750016]\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. [102601251750016]\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. [120601175250016]\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. [120601251750016]\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 2907

The half-life of silver-108m is approximately 130 years.
Step 1 of 3 : Determine aa so that A(t)=A0atA(t)=A_{0} a^{t} describes the amount of silver-108m left after tt years, where A0A_{0} is the amount at time t=0t=0. Round to six decimal places.

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Problem 2908

Write a linear function for the data in the table. \begin{tabular}{|c|c|c|c|c|c|} \hline x\mathbf{x} & 0 & 1 & 2 & 3 & 4 \\ \hline y\mathbf{y} & 1 & -0.5 & -2 & -3.5 & -5 \\ \hline \end{tabular}
The linear function for the data in the table is \square

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Problem 2909

Let f(x)=x8f(x)=\sqrt{x-8} (a) What is the domain of ff ?
Domain of f=f= \square (b) What is the range of ff ?
Range of f=f= \square (c) What is the domain of f1f^{-1} ?
Domain of f1=f^{-1}= \square (d) What is the range of f1f^{-1} ?
Range of f1=f^{-1}= \square (e) Find the formula for f1(x)f^{-1}(x) : f1(x)=f^{-1}(x)= \square

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Problem 2910

Graph the equation y=10xy=-10 x on the coordinate plane.

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Problem 2911

The exponential model A=243.7e0.02t\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 2912

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

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Problem 2913

2) Taryn starts a new job and recelves a $1,000\$ 1,000 bonus, She also recelves a salary of $800\$ 800 every two weeks. Represent this relationship using a graph. Be sure to label the axes. What is the slope, and what does it represent?

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Problem 2914

\begin{align*} \text{Given:} \\ R_1 &= 108 \, \Omega \\ R_2 &= \text{unknown} \\ R_6 &= \text{unknown} \\ R_7 &= 702 \, \Omega \\ U_0 &= 220 \, \text{V} \end{align*}
\text{Find the total resistance of the resistors connected in series.}

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Problem 2915

Assume that the function ff is a one-to-one function. (a) If f(5)=7f(5)=7, find f1(7)f^{-1}(7).
Your answer is \square (b) If f1(9)=9f^{-1}(-9)=-9, find f(9)f(-9).
Your answer is \square

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Problem 2916

9) f(x)=(x+2)(x2)f(x)=(x+2)(x-2)
Minimum / Maximum Domain: \qquad Range: \qquad x-intercepts: \qquad y-intercept: \qquad Vertex: \qquad

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Problem 2917

Score: 8/10 Current Time: 203.8
What method of factoring should first be used? 5x229x425 x^{2}-29 x-42
Answer
Greatest Common Factor Difference of Perfect Squares
Trinomial Factoring Does Not Factor

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Problem 2918

Solve the following system of equations. 5x+4y=23x+4y=10\begin{array}{l} 5 x+4 y=-2 \\ 3 x+4 y=10 \end{array} x=y=\begin{array}{l} x= \\ y= \end{array} \square \square

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Problem 2919

2. A proton starts at rest and travels through a potential difference of 8000 V . a) Determine the final kinetic energy of the proton ( 3\mathbf{3} marks) b) Determine the final speed of the proton ( 2 mark)

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Problem 2920

Question He/Pv\mathrm{He} / \mathrm{Pv}
The graph relates the actual size of a car in feet to a model of the car in inches. Write an equation that describes the relationship. Model Cars
Type an equation in y=mxy=m x form. \square (Type an equation. Use integers or fractions for any numbers in the equation.)

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Problem 2921

(gf)(x) (g \circ f)(x)

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Problem 2922

Subtract. (6a+9)(3a1)(-6 a+9)-(-3 a-1)

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Problem 2923

Solve the following equation for vv. F=aMv2rF=\frac{a M v^{2}}{r}

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Problem 2924

Do You Know How?
4. A tank containing 35 gallons of water is leaking at a rate of 14\frac{1}{4} gallon per minute. Write an expression to determine the number of gallons left in the tank after mm minutes.

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Problem 2925

6. For how many different ordered pairs of nonnegative integers (a,b)(a, b) do x2ax+b=0x^{2}-a x+b=0 and x2bx+a=0x^{2}-b x+a=0 both have only integer roots? lease do not include unit in your answer. Integer or Finite Decimal \qquad (Integer or finite decimal only.) Please click here to view the instructions to enter your answers.

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Problem 2926

\begin{tabular}{|l|l|} \hline 4. Matthew gets a gym membership that costs $30\$ 30 & a. How much will he pay after 4 months? \\ per month. The initial sign up cost is $10\$ 10. Write a \\ linear equation to represent how much Matthew \\ will pay. \end{tabular}

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Problem 2927

Question 8 of 10 For f(x)=4x+1f(x)=4 x+1 and g(x)=x25g(x)=x^{2}-5, find (fg)(x)(f-g)(x). A. x2+4x4-x^{2}+4 x-4 B. 4x2194 x^{2}-19 C. x2+4x+6-x^{2}+4 x+6 D. x24x6x^{2}-4 x-6

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Problem 2928

Please select the type of answer
4. If [x][x] denotes the greatest integer x\leq x, what is the greatest value of x<2024x<2024 for which [x]×(x[x])=2[x] \times(x-[x])=2 ?

Please do not include unit in your answer. Integer or Finite Decimal (1) \square (Integer or finite decimal only.) Please click here to view the instructions to enter your answers.

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Problem 2929

Given the exponential growth function f(x)=78(1.005)xf(x)=78(1.005)^{x}
What is the initial value of the function? \square
What is the growth rate of the function (as a percent)? \square \%

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Problem 2930

h=81t2+at+dh = -81 t^{2} + a t + d

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Problem 2931

Subtract the given expressions. 2x(8x2)2x(8x2)=\begin{array}{c} 2 x-(8 x-2) \\ 2 x-(8 x-2)= \end{array}

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Problem 2932

x5y=15x+3y=11\begin{array}{l}x-5 y=15 \\ -x+3 y=-11\end{array}

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Problem 2933

What is the family of the equation y=3xy=3^{x} exponential quadratic linear
Fill in the table of values for the equation. \begin{tabular}{|l|l|} \hlinexx & yy \\ \hline-2 & \\ \hline-1 & \square \\ \hline 0 & \square \\ \hline 1 & \square \\ \hline 2 & \square \\ \hline \end{tabular}
Graph the equation by plotting two points:

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Problem 2934

Question 23 (1 point) Solve 8x24=4x+2\frac{8}{x^{2}-4}=\frac{4}{x+2} for xx

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Problem 2935

1. f(x)={x+3 if x32 if x=3f(x)=\left\{\begin{array}{l}x+3 \text { if } x \neq 3 \\ 2 \text { if } x=3\end{array}\right.

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Problem 2936

Draw the graph of f(x)=4xf(x)=-4^{x}

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Problem 2937

Simplify the radical expression. 25562 \sqrt{5} \cdot 5 \sqrt{6}
Write your answer in the form of aba \sqrt{b}. If there is not a number left under the radical, type 1 for b. a=b=\begin{array}{l} a= \\ b= \end{array}

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Problem 2938

Effectue les opérations demandées. Exprime ta réponse sous la forme d'un polynôme. a) (x3+2x2x)+(2x3x+5)(8x2+3x9)\left(x^{3}+2 x^{2}-x\right)+\left(2 x^{3}-x+5\right)-\left(8 x^{2}+3 x-9\right)

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Problem 2939

Question 7 (1 point) Find the solution set for x2x+3<9x+3\frac{x^{2}}{x+3}<\frac{9}{x+3}.

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Problem 2940

4. Let's say you invest an amount now and leave it in the bank for 50 years.
WOULD YOU RATHER... - OPTION A - Invest $2000\$ 2000 now, interest rate of 4%4 \% compounded annually

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Problem 2941

Graph the Exponential Function f(x)=2(13)xf(x)=2\left(\frac{1}{3}\right)^{x} by plotting the yy-intercept and one other point. Then write the yy-intercept as an ordered pair.

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Problem 2942

f(x)=x2+9x+20x+4f(x)=\frac{x^{2}+9 x+20}{x+4}
Answer Attempt 1 out of 2
Horizontal Asymptote: y=y= \square
No horizontal asymptote Vertical Asymptote: x=x= \square
No vertical asymptote x-Intercept: (,0)x \text {-Intercept: }(\square, 0)
No xx-intercept yy-Intercept: 0\quad 0, \square ) No yy-intercept

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Problem 2943

Let's say you invest an amount now and leave it in the bank for 50 years. WOULD YOU RATHER... - OPTION B - Invest \4000now,interestrateof4000 now, interest rate of 2 \%$ compounded annually

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Problem 2944

During summer vacation, 36% of c children went to Europe, 24 children stayed within the US, and the rest of the children went to South America. How many children went to South America?\text{During summer vacation, } 36\% \text{ of } c \text{ children went to Europe, 24 children stayed within the US, and the rest of the children went to South America. How many children went to South America?}

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Problem 2945

2x+22x=482^{x+2}-2^{x}=48

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Problem 2946

Katie solved the equation by completing the square. x2+12x7=0x^{2}+12 x-7=0
Which equation shows one of the steps Katie could have taken to complete the square? x2+12x+36=7+36x^{2}+12 x+36=7+36 x2+12x+144=7x^{2}+12 x+144=7 x2+12x+144=7+36x^{2}+12 x+144=7+36

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Problem 2947

50 5.2 Common Factors of Polynomials
4. Consider the expression 5(4x3)+x(4x3)5(4 x-3)+x(4 x-3). a. What is the GCF of 5(4x3)+x(4x3)5(4 x-3)+x(4 x-3) ? Explain.

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Problem 2948

Q5. Given the quadratic function f(x)=f(x)= 3x212x+53 x^{2}-12 x+5, find the vertex of the parabola.

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Problem 2949

log(x1)=13log2\log (x-1)=\frac{1}{3} \log 2

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Problem 2950

18. An aerobically fit college student has the following characteristics : 20 yr old, Female , resting HR=60 b/min\mathrm{HR}=60 \mathrm{~b} / \mathrm{min}, resting Q=5l/min\mathrm{Q}=5 \mathrm{l} / \mathrm{min}, maximal Q=25l/min\mathrm{Q}=25 \mathrm{l} / \mathrm{min}. What is her resting stroke volume ? 83.3ml/b83.3 \mathrm{ml} / \mathrm{b}

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Problem 2951

An employee's monthly productivity MM, in number of units produced, is found to be a function of the number tt of years of service. For a certain product, a productivity function is shown below. Find the maximum productivity and the year in which it is achieved. M(t)=3t2+132t+170,0t40M(t)=-3 t^{2}+132 t+170,0 \leq t \leq 40
The maximum productivity is achieved in year 22. The maximum productivity is \square units.

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Problem 2952

=x49x2+3x327x10x2+90?=x^{4}-9 x^{2}+3 x^{3}-27 x-10 x^{2}+90 ?

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Problem 2953

Gabriella and Ming are selling cookie dough for a school fundraiser. Customers can buy packages of white chocoloate chip cookie dough and packages of gingerbread cookie dough. Gabriella sold 11 packages of white chocoloate chip cookie dough and 2 packages of gingerbread cookie dough for a total of $225\$ 225. Ming sold 8 packages of white chocoloate chip cookie dough and 10 packages of gingerbread cookie dough for a total of $326\$ 326. What is the cost each of one package of white chocoloate chip cookie dough and one package of gingerbread cookie dough?

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Problem 2954

7) 4x+y=65xy=21x=3,y=6\begin{array}{l}-4 x+y=6 \\ -5 x-y=21 \\ x=-3, y=-6\end{array}

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Problem 2955

Practice - III
Use algebra tiles to factor the following trinomials. a. x24x+3x^{2}-4 x+3

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Problem 2956

x7y=4x-7 y=-4

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Problem 2957

Use Cramer's rule to solve the system of equations. 3x2y=412x23y=1\begin{array}{l} 3 x-2 y=4 \\ \frac{1}{2} x-\frac{2}{3} y=1 \end{array} a. (4,8)(4,-8) c. (23,56)\left(\frac{2}{3}, \frac{5}{6}\right) b. (23,1)\left(\frac{2}{3},-1\right) d. (3,10)(3,10)

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Problem 2958

The graph shows the number of fans, yy, a musician has based on number of days the musician spent social networking, xx.
Social Networking
Which equation best represents the relationship between xx and yy ?
A y=10+xy=10+x
B x=y+10x=y+10
C y=10xy=10 x
D x=10yx=10 y

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Problem 2959

Use Cramer's rule to solve the system of equations. 5x+2y4z=104x+8y3z=474x+5y3z=13\begin{array}{c} 5 x+2 y-4 z=-10 \\ -4 x+8 y-3 z=47 \\ 4 x+5 y-3 z=13 \end{array} a. (3,6,2)(3,6,-2) c. (2,6,3)(-2,6,3) b. (2,3,6)(-2,3,6) d. (6,2,3)(6,-2,3)

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Problem 2960

2. If you buy 4 slices of pizza and 3 drinks at the foodcourt, you get $2.50\$ 2.50 in chang from a $20\$ 20 bill. If you buy 3 slices of pizza and 6 drinks, you'd get $1.25\$ 1.25 back from a 20$20 \$ bill. Determine how much change you would get from a 20$20 \$ bill if you bought 5 slices of pizza and 2 drinks. Drink **HINT: Determine the price of a hamburger and a slice of pizza first. Let "d" represent the cost of the drink Let "p" represent the cost of the slice of pizza

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Problem 2961

Solve the equation by using the square root property. Simplify all radicals. x2=64x^{2}=64
Select the correct choice below and, if necessary, fill in the answer complete your choice. A. The solution set is }\}. \square (Type an integer or a simplified fraction. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) B. There is no real solution.

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Problem 2962

 4) 3x3y=3y=5x17x=1,y=2\begin{array}{l} \text { 4) }-3 x-3 y=3 \\ y=-5 x-17 \\ x=1, y=2 \end{array}

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Problem 2963

1. y=2x1y=2 x-1 slope == \qquad yy-intercept == \qquad

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Problem 2964

1) y=(x3+3)5y=\left(x^{3}+3\right)^{5}

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Problem 2965

Put the following equation of a line into slope-intercept form, simplifying all fractions. 20x8y=4020 x-8 y=40

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Problem 2966

Find all points on the graph of y327y=x290y^{3}-27 y=x^{2}-90 at which the tangent line is vertical. (Order your answers from smallest to largest xx, then from smallest to largest yy.) (x,y)=()(x,y)=()(x,y)=()(x,y)=()\begin{array}{l} (x, y)=(\square) \\ (x, y)=(\square) \\ (x, y)=(\square) \\ (x, y)=(\square) \end{array}

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Problem 2967

6x226x+206 x^{2}-26 x+20
The factors are of the form (axb)(xc)(a x-b)(x-c) where:

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Problem 2968

Function A and Function B are linear functions. vide
Function A
Function B y=35x+3y=\frac{3}{5} x+3
Which statement is true?
The yy-intercept of Function AA is greater than the yy-intercept of Function BB.
The yy intercept of Function AA is less than the yy-intercept of Function B .

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Problem 2969

Function AA and Function BB are linear functions. Function A Function B y=12x2y=\frac{1}{2} x-2
Which statement is true?
The slope of Function A is greater than the slope of Function B .
The slope of Function AA is less than the slope of Function BB.

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Problem 2970

2) y=(3x5+1)3y=\left(-3 x^{5}+1\right)^{3}

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Problem 2971

11) x+3y=13x3y=15x=0,y=13\begin{array}{l}x+3 y=1 \\ -3 x-3 y=-15 \\ x=0, y=\frac{1}{3}\end{array}

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Problem 2972

All work must be clearly shown to get full credit. No clear work, no credit
1. For the following rational equation, a) Are there any holes? If so, what are they b) Find the Vertical, Horizontal and Oblique; Infinite Asymptotes if any. c) Find the roots; x-intercept(s) d) Find the yy-intercept(s) e) Find the Domain and Range f) Find the end behavior g) Sketch a graph i) f(x)=x3+7x2+10xx2+5x6f(x)=\frac{-x^{3}+7 x^{2}+10 x}{x^{2}+5 x-6} a) \qquad b) \qquad

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Problem 2973

1) f(x)=x2+9x+18x2+2x24f(x)=\frac{x^{2}+9 x+18}{x^{2}+2 x-24} (x+6)(x+3)(x+6)(x4)\frac{(x+6)(x+3)}{(x+6)(x-4)} x+6=0(6+3)x=6(64)x10\begin{array}{cc} x+6=0 & (-6+3) \\ x=-6 & (-6-4) \\ x & -10 \end{array} vertical Horizontal x4=0x=1x=4x\begin{array}{ll} x-4=0 & x^{\prime}=1 \\ x=4 & x^{\prime} \end{array}

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Problem 2974

Question list Determine whether the given number is a solution of the equation. x8=3;24\frac{x}{8}=3 ; 24 ( Question 1 ( Question 2 Yes No Question 3
Question 4

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Problem 2975

Complete the table and then graph the function. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{f(x)=x7f(x)=x-7} \\ \hlinexx & f(x)f(x) \\ \hline-2 & -9 \\ \hline 1 & -6 \\ \hline 2 & -5 \\ \hline 10 & 3 \\ \hline \end{tabular}
Click to select points on the graph.

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Problem 2976

Find an equation for the graph sketched below: f(x)=f(x)= \square Question Help: Video Submit Question

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Problem 2977

12;8x=5212 ;-8 x=-52

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Problem 2978

4(m+3)=24-4(m+3)=24

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Problem 2979

1. Simplify the below expressions. Only use Approach 3 [Searching for factorizations that have a perfect square: Large to small] as shown in class. You will earn 0 points for using Approaches 1 or 2. (a) 700+63\sqrt{700}+\sqrt{63} (b) 12898\sqrt{128}-\sqrt{98} (c) 16+17+18\sqrt{16}+\sqrt{17}+\sqrt{18}

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Problem 2980

Simplify the radical expression by rationalizing the denominator. 25\frac{2}{\sqrt{5}} 252 \sqrt{5}

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Problem 2981

10x+y>5y>32x9\begin{array}{l}10 x+y>5 \\ y>\frac{3}{2} x-9\end{array}

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Problem 2982

Question Watch Video Show Examples Use synthetic division to find the result when 3x3+16x2+14x83 x^{3}+16 x^{2}+14 x-8 is divided by x+4x+4.

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Problem 2983

Write an equivalent expression by distributing the " -" sign outside the parentheses: 10m(7.6n+1)-10 m-(-7.6 n+1)
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2984

The graph of the function f(x)f(x) is shown below. Graph the related function g(x)=f(x4)+3g(x)=f(x-4)+3 on graph paper. Use Photo Booth to take a picture of the graph and upload it. Make the sure the picture is facing the right direction.

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Problem 2985

12t8x=5212 t-8 x=-52

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Problem 2986

Level 4: Write an equation of a quadratic in vertex form that has the following qualities - a vertex at (2,1)(2,-1) - a vertical stretch by 4 - no reflection
Start your answer with y=y=, use no spaces and x2x^{\wedge} 2 if it is to the 2 nd power. For example, if you wanted tt y=5(x1)2+6y=-5(x-1)^{2}+6 you would type it as y=5(x1)2+6y=-5(x-1)^{\wedge} 2+6 \square

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Problem 2987

Level 4: Write the transformation function using function notation. EX:g(x)=4f(x+8)10E X: g(x)=4 f(x+8)-10 - a vertical stretch by 4 - no reflection - a vertical shift of 7
Start your answer with g(x)=\mathrm{g}(\mathrm{x})=, no spates.

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Problem 2988

Find a polynomial f(x)f(x) of degree 4 that has the following zeros. 2,4,3,0-2,-4,3,0
Leave your answer in factored form. f(x)=f(x)=

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Problem 2989

Write an equation in slope-intercept form of the line that passes through (1,9)(1,-9) and (3,9)(-3,-9). y=y= \square

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Problem 2990

Factor by grouping. 18w+wy9w22y18 w+w y-9 w^{2}-2 y

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Problem 2991

72. 103(2x1)=110-3(2 x-1)=1

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Problem 2992

Solve for zz. 9=211011z9=-21-\frac{10}{11} z
Answer Attempt 1 out of 2 z=z= \square Submit Answer

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Problem 2993

The equation 8(x+1)=40-8(x+1)=-40 is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline8(x+1)=40-8(x+1)=-40 & Given equation \\ \hline8(x+1)8=408\frac{-8(x+1)}{-8}=\frac{-40}{-8} & "Choose one" \\ \hlinex+1=5x+1=5 & "Choose one" \\ \hlinex+11=51x+1-1=5-1 & "Choose one" \\ \hlinex=4x=4 & "Choose one" \\ \hline \end{tabular}

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Problem 2994

Solve for zz. 34=23z1034=-\frac{2}{3} z-10
Answer Attempt 1 out of 2 z=z= \square Submit Answer

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Problem 2995

Is f=70f=70 a solution to the inequality below? f21038\frac{f}{2}-10 \geq 38 yes no
Submit

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Problem 2996

Linda is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 14 liters has splashed out of the tank. Her go 15x14<6115 x-14<61, where xx is the number of minutes she pumps water into the tank.
Complete the parts below. (a) Solve the given inequality and graph the solution on the number line below. (b) Choose and complete the statement that best describes the solution.
\square To meet the goal, the tank will have more than liters of water in it. This will take less than \square minutes. To meet the goal, the tank will have less than \square liters of water in it.
This will take less than \square minutes. To meet the goal, the tank will have less than \square liters of water in it.
This will take more than \square minutes.

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Problem 2997

The half-life of Palladium-100 is 4 days. After 8 days a sample of Palladium-100 has been reduced to a mass of 6 mg .
What was the initial mass (in mg ) of the sample? 24 \square 0
What is the mass 5 weeks after the start? (Round to 3 significant figures -- ex. . 00123555 rounds to .00124 ) \square

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Problem 2998

Solve the following system by substitution. 2xy=73yx=6\begin{array}{l} 2 x-y=-7 \\ 3 y-x=6 \end{array}
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) A. There is one solution. The solution set is {\{. (Type an ordered pair.) B. There are infinitely many solutions. The solution set is {(,y)}\{(\square, y)\}, where yy is any real number. C. The solution set is \varnothing.

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Problem 2999

Translating a sentence Into a mult-step inequality 1/51 / 5 Espariol
Translate the sentence into an inequality. The difference of twice a number and 10 is at most -23. Use the variable xx for the unknown number. \square < \square \leq \square
×\times \square

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Problem 3000

Solve the following nonlinear system of equations analytically. 3x2+2y2=11xy=1\begin{aligned} 3 x^{2}+2 y^{2} & =11 \\ x-y & =-1 \end{aligned}
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) A. The solution set is \square 3. (Type an ordered pair. Use a comma to separate answers as needed.) B. There are infinitely many solutions. The solution set is {(,y)}\{(\square, y)\}, where yy is any real number. C. The solution set is \varnothing.

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