Exam 8: Special Topics in Algebra

A ball is dropped from 346 feet. If it rebounds 1/3 of the height from which it falls every time it hits the ground, how far will it have traveled in a downward direction when it hits the ground for the fifth time? Round your Answer to the nearest tenth of a foot.

(Multiple Choice)

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Question 61

The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 Man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the Company's profit, if the profit on a VIP ring is $30 and on an SST ring is $40?

(Multiple Choice)

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Question 62

A woman borrowed $30,000 at 8% interest compounded annually. If the loan was paid off at the end of 5 years, how much did she pay? Round your answer to the nearest cent.

(Multiple Choice)

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Question 63

Write the binomial expansion of the expression. - $\left( - 3 x ^ { 2 } - y \right) ^ { 5 }$

(Multiple Choice)

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Question 64

The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 Man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the Company's profit, if the profit on a VIP ring is $40 and on an SST ring is $35?

(Multiple Choice)

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Question 65

Solve the equation for y. - $y ^ { 2 } - 4 x + 3 = 0$

(Multiple Choice)

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Question 66

Graph the circle. - $x ^ { 2 } + y ^ { 2 } - 8 x - 10 y + 37 = 0$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } - 8 x - 10 y + 37 = 0$

(Multiple Choice)

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Question 67

Draw the graph of the equation. - $x^{2}-10 x-8 y+73=0$ $Draw the graph of the equation. - x^{2}-10 x-8 y+73=0$

(Multiple Choice)

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Question 68

Find the center and radius of the circle with the given equation. - $( x + 10 ) ^ { 2 } + y ^ { 2 } = 9$

(Multiple Choice)

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Question 69

Find the sum of the first 10 terms of the arithmetic sequence 88, 159, 230, . . . .

(Multiple Choice)

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Question 70

If a person puts one penny in a piggy bank on the first day, two pennies in on the second day, three pennies in on the third day, and so forth, how much money will be in the bank after 60 days?

(Multiple Choice)

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Question 71

The graph of the boundary equations for the system of inequalities is shown with the system. Find the corners of the solution region. - $\left\{ \begin{array} { l } x + y \leq 6 \\3 x + y \leq 12\end{array} \right.$ $The graph of the boundary equations for the system of inequalities is shown with the system. Find the corners of the solution region. - \left\{ \begin{array} { l } x + y \leq 6 \\ 3 x + y \leq 12 \end{array} \right.$

(Multiple Choice)

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Question 72

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the objective function. - $f = 5 x + 6 y$ subject to the constraints $\left\{ \begin{array} { l } x + 2 y \geq 14 \\3 x + 2 y \geq 18 \\- x + 2 y \leq 12 \\y \geq 0\end{array} \right.$ $Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the objective function. - f = 5 x + 6 y subject to the constraints \left\{ \begin{array} { l } x + 2 y \geq 14 \\ 3 x + 2 y \geq 18 \\ - x + 2 y \leq 12 \\ y \geq 0 \end{array} \right.$

(Multiple Choice)

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Question 73

Graph the circle. - $x^{2}+y^{2}-2 x-10 y+1=0$ $Graph the circle. - x^{2}+y^{2}-2 x-10 y+1=0$

(Multiple Choice)

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Question 74

Write the equation of the circle with the given center and radius. -center $( 0,5 )$ , radius 11

(Multiple Choice)

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Question 75

A ball is dropped from a height of 5.0 m. On each upward bounce the ball returns to $\frac { 2 } { 5 }$ of its previous height. Find the total vertical distance the ball travels before coming to rest.

(Multiple Choice)

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Question 76

Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve $y = f ( x ) \text { at } x = a$ is f'(a). Use f'(x) to find the slope of the tangent to $y = f ( x )$ at the given value of x. - $f ^ { \prime } ( x ) = - x ^ { 4 } + 3 x ^ { 3 } + 5 x ^ { 2 } - 8 x + 13 \text { at } x = 2$

(Multiple Choice)

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Question 77

Draw the graph of the equation. - $y = \frac { \sqrt { 1 - 36 x ^ { 2 } } } { 9 }$ $Draw the graph of the equation. - y = \frac { \sqrt { 1 - 36 x ^ { 2 } } } { 9 }$

(Multiple Choice)

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Question 78

Graph the solution region for the system of inequalities and identify the corners of the region. - $\left\{\begin{array}{l}-x+y \leq 5 \\x+y \geq 3 \\-3 x+y \geq-1\end{array}\right.$ $Graph the solution region for the system of inequalities and identify the corners of the region. - \left\{\begin{array}{l} -x+y \leq 5 \\ x+y \geq 3 \\ -3 x+y \geq-1 \end{array}\right.$

(Multiple Choice)

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Question 79

Write the equation for the shape described. -The circle with endpoints of a diameter at $( 3 , - 5 )$ and $( 7 , - 4 )$

(Multiple Choice)

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Question 80

Showing 61 - 80 of 265

A ball is dropped from 346 feet. If it rebounds 1/3 of the height from which it falls every time it hits the ground, how far will it have traveled in a downward direction when it hits the ground for the fifth time? Round your Answer to the nearest tenth of a foot.

A woman borrowed $30,000 at 8% interest compounded annually. If the loan was paid off at the end of 5 years, how much did she pay? Round your answer to the nearest cent.

Write the binomial expansion of the expression. - $\left( - 3 x ^ { 2 } - y \right) ^ { 5 }$

Solve the equation for y. - $y ^ { 2 } - 4 x + 3 = 0$

Graph the circle. - $x ^ { 2 } + y ^ { 2 } - 8 x - 10 y + 37 = 0$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } - 8 x - 10 y + 37 = 0$

Draw the graph of the equation. - $x^{2}-10 x-8 y+73=0$ $Draw the graph of the equation. - x^{2}-10 x-8 y+73=0$

Find the center and radius of the circle with the given equation. - $( x + 10 ) ^ { 2 } + y ^ { 2 } = 9$

Find the sum of the first 10 terms of the arithmetic sequence 88, 159, 230, . . . .

If a person puts one penny in a piggy bank on the first day, two pennies in on the second day, three pennies in on the third day, and so forth, how much money will be in the bank after 60 days?

Graph the circle. - $x^{2}+y^{2}-2 x-10 y+1=0$ $Graph the circle. - x^{2}+y^{2}-2 x-10 y+1=0$

Write the equation of the circle with the given center and radius. -center $( 0,5 )$ , radius 11

A ball is dropped from a height of 5.0 m. On each upward bounce the ball returns to $\frac { 2 } { 5 }$ of its previous height. Find the total vertical distance the ball travels before coming to rest.

Draw the graph of the equation. - $y = \frac { \sqrt { 1 - 36 x ^ { 2 } } } { 9 }$ $Draw the graph of the equation. - y = \frac { \sqrt { 1 - 36 x ^ { 2 } } } { 9 }$

Write the equation for the shape described. -The circle with endpoints of a diameter at $( 3 , - 5 )$ and $( 7 , - 4 )$

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

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Exam 8: Special Topics in Algebra

A ball is dropped from 346 feet. If it rebounds 1/3 of the height from which it falls every time it hits the ground, how far will it have traveled in a downward direction when it hits the ground for the fifth time? Round your Answer to the nearest tenth of a foot.

A woman borrowed $30,000 at 8% interest compounded annually. If the loan was paid off at the end of 5 years, how much did she pay? Round your answer to the nearest cent.

Write the binomial expansion of the expression. - (−3x2−y)5\left( - 3 x ^ { 2 } - y \right) ^ { 5 }(−3x2−y)5

Solve the equation for y. - y2−4x+3=0y ^ { 2 } - 4 x + 3 = 0y2−4x+3=0

Graph the circle. - x2+y2−8x−10y+37=0x ^ { 2 } + y ^ { 2 } - 8 x - 10 y + 37 = 0x2+y2−8x−10y+37=0

Draw the graph of the equation. - x2−10x−8y+73=0x^{2}-10 x-8 y+73=0x2−10x−8y+73=0

Find the center and radius of the circle with the given equation. - (x+10)2+y2=9( x + 10 ) ^ { 2 } + y ^ { 2 } = 9(x+10)2+y2=9

Find the sum of the first 10 terms of the arithmetic sequence 88, 159, 230, . . . .

If a person puts one penny in a piggy bank on the first day, two pennies in on the second day, three pennies in on the third day, and so forth, how much money will be in the bank after 60 days?

The graph of the boundary equations for the system of inequalities is shown with the system. Find the corners of the solution region. - {x+y≤63x+y≤12\left\{ \begin{array} { l } x + y \leq 6 \\3 x + y \leq 12\end{array} \right.{x+y≤63x+y≤12​

Graph the circle. - x2+y2−2x−10y+1=0x^{2}+y^{2}-2 x-10 y+1=0x2+y2−2x−10y+1=0

Write the equation of the circle with the given center and radius. -center (0,5)( 0,5 )(0,5) , radius 11

A ball is dropped from a height of 5.0 m. On each upward bounce the ball returns to 25\frac { 2 } { 5 }52​ of its previous height. Find the total vertical distance the ball travels before coming to rest.

Draw the graph of the equation. - y=1−36x29y = \frac { \sqrt { 1 - 36 x ^ { 2 } } } { 9 }y=91−36x2​​

Graph the solution region for the system of inequalities and identify the corners of the region. - {−x+y≤5x+y≥3−3x+y≥−1\left\{\begin{array}{l}-x+y \leq 5 \\x+y \geq 3 \\-3 x+y \geq-1\end{array}\right.⎩⎨⎧​−x+y≤5x+y≥3−3x+y≥−1​

Write the equation for the shape described. -The circle with endpoints of a diameter at (3,−5)( 3 , - 5 )(3,−5) and (7,−4)( 7 , - 4 )(7,−4)

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Filters

Write the binomial expansion of the expression. - $\left( - 3 x ^ { 2 } - y \right) ^ { 5 }$

Solve the equation for y. - $y ^ { 2 } - 4 x + 3 = 0$

Graph the circle. - $x ^ { 2 } + y ^ { 2 } - 8 x - 10 y + 37 = 0$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } - 8 x - 10 y + 37 = 0$

Draw the graph of the equation. - $x^{2}-10 x-8 y+73=0$ $Draw the graph of the equation. - x^{2}-10 x-8 y+73=0$

Find the center and radius of the circle with the given equation. - $( x + 10 ) ^ { 2 } + y ^ { 2 } = 9$

Graph the circle. - $x^{2}+y^{2}-2 x-10 y+1=0$ $Graph the circle. - x^{2}+y^{2}-2 x-10 y+1=0$

Write the equation of the circle with the given center and radius. -center $( 0,5 )$ , radius 11

A ball is dropped from a height of 5.0 m. On each upward bounce the ball returns to $\frac { 2 } { 5 }$ of its previous height. Find the total vertical distance the ball travels before coming to rest.

Draw the graph of the equation. - $y = \frac { \sqrt { 1 - 36 x ^ { 2 } } } { 9 }$ $Draw the graph of the equation. - y = \frac { \sqrt { 1 - 36 x ^ { 2 } } } { 9 }$

Write the equation for the shape described. -The circle with endpoints of a diameter at $( 3 , - 5 )$ and $( 7 , - 4 )$