Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -$\begin{array}{l|lllll} \mathrm{x} & 24 & 26 & 28 & 30 & 32 \\ \hline \mathrm{y} & 15 & 13 & 20 & 16 & 24 \end{array}$

A) $y = 0.95 x + 11.8$ B) $y = 0.95 x - 11.8$ C) $y = 1.05 x - 11.8$ D) $y = 1.05 x + 11.8$ A) $y = 0.95 x + 11.8$ B) $y = 0.95 x - 11.8$ C) $y = 1.05 x - 11.8$ D) $y = 1.05 x + 11.8$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -$\begin{array}{l|lllll} \mathrm{x} & 1.2 & 1.4 & 1.6 & 1.8 & 2.0 \\ \hline \mathrm{y} & 54 & 53 & 55 & 54 & 56 \end{array}$

A) $y = 2.5 x + 50.4$ B) $y = 3 x + 50$ C) $y = 54$ D) $\mathrm { y } = 55.3$ A) $y = 2.5 x + 50.4$ B) $y = 3 x + 50$ C) $y = 54$ D) $\mathrm { y } = 55.3$

Exam 2: Linear and Quadratic Functions

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program Versus their current GPAs. Entering GPA Current GPA 3.5 3.6 3.8 3.7 3.6 3.9 3.6 3.6 3.5 3.9 3.9 3.8 4.0 3.7 3.9 3.9 3.5 3.8 3.7 4.0

(Multiple Choice)

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Question 41

Determine the slope and y-intercept of the function. - $F ( x ) = - \frac { 1 } { 4 } x$

(Multiple Choice)

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Question 42

Graph the function. State whether it is increasing, decreasing, or constant.. - $h(x)=-2 x+5$

(Multiple Choice)

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Question 43

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 24 26 28 30 32 15 13 20 16 24

(Multiple Choice)

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Question 44

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 1.2 1.4 1.6 1.8 2.0 54 53 55 54 56

(Multiple Choice)

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Question 45

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $f ( x ) = 5 x ^ { 2 } - 28 x - 12$

(Multiple Choice)

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Question 46

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $P ( x ) = ( 4 x - 6 ) ^ { 2 } - 6 ( 4 x - 6 ) + 5$

(Multiple Choice)

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Question 47

Solve the problem. -A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of $192 \mathrm { ft } / \mathrm { sec }$ , and the gorge is $560 \mathrm { ft }$ deep, during what interval can the flare be seen? $\text { (h } \left. = - 16 \mathrm { t } ^ { 2 } + \mathrm { v } _ { \mathrm { O } } \mathrm { t } + \mathrm { h } _ { \mathrm { O } } \right)$

(Multiple Choice)

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Question 48

Solve the inequality. - $x ^ { 2 } - 36 \leq 0$

(Multiple Choice)

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Question 49

Solve the inequality. - $x ^ { 2 } + 4 x \geq 0$

(Multiple Choice)

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Question 50

Graph the function using its vertex, axis of symmetry, and intercepts. - $f(x)=-x^{2}+8 x-7$ $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=-x^{2}+8 x-7$

(Multiple Choice)

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Question 51

Solve the problem. -Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with a embroidery of a Great Pyrenees dog on the front. There are fixed costs of $650 to set up for production, and variable costs of $39 per jacket. Write An equation that can be used to determine the total cost, C(x), encountered by Marty's Company in producing x Jackets, and use the equation to find the total cost of producing 79 jackets.

(Multiple Choice)

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Question 52

Determine the average rate of change for the function. -F(x) = -5

(Multiple Choice)

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Question 53

Match the graph to one of the listed functions. -

(Multiple Choice)

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Question 54

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $h ( x ) = x ^ { 2 } + 5 x - 14$

(Multiple Choice)

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Question 55

Solve the problem. -If a polygon, of $n$ sides has $\frac { 1 } { 2 } n ( n - 3 )$ diagonals, how many sides will a polygon with 189 diagonals have?

(Multiple Choice)

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Question 56

Use a graphing calculator to plot the data and find the quadratic function of best fit. -Southern Granite and Marble sells granite and marble by the square yard. One of its granite patterns is price sensitive. If the price is too low, customers perceive that it has less quality. If the price is too high, customers Perceive that it is overpriced. The company conducted a pricing test with potential customers. The following Data was collected. Use a graphing calculator to plot the data. What is the quadratic function of best fit? Price, x Buyers, B \ 20 30 \ 30 50 \ 40 65 \ 60 75 \ 80 72 \ 100 50 \ 110 25

(Multiple Choice)

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Question 57

Write the word or phrase that best completes each statement or answers the question. -The following scatter diagram shows heights (in inches) of children and their ages. $\text { Height (inches) }$ $Write the word or phrase that best completes each statement or answers the question. -The following scatter diagram shows heights (in inches) of children and their ages. \text { Height (inches) } \ Age (years) Based on this data, how old do you think a child is who is about 39 inches tall?$ \ Age (years) Based on this data, how old do you think a child is who is about 39 inches tall?

(Multiple Choice)

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Question 58

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 8 k + 1 | \geq 2$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | 8 k + 1 | \geq 2$

(Multiple Choice)

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Question 59

Solve the problem. -The price $p$ and the quantity $x$ sold of a certain product obey the demand equation $p = - \frac { 1 } { 6 } x + 200 , \quad 0 \leq x \leq 1,200 \text {. }$ What quantity $x$ maximizes revenue? What is the maximum revenue?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 302

Determine the slope and y-intercept of the function. - $F ( x ) = - \frac { 1 } { 4 } x$

Graph the function. State whether it is increasing, decreasing, or constant.. - $h(x)=-2 x+5$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 24 26 28 30 32 15 13 20 16 24

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 1.2 1.4 1.6 1.8 2.0 54 53 55 54 56

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $f ( x ) = 5 x ^ { 2 } - 28 x - 12$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $P ( x ) = ( 4 x - 6 ) ^ { 2 } - 6 ( 4 x - 6 ) + 5$

Solve the inequality. - $x ^ { 2 } - 36 \leq 0$

Solve the inequality. - $x ^ { 2 } + 4 x \geq 0$

Graph the function using its vertex, axis of symmetry, and intercepts. - $f(x)=-x^{2}+8 x-7$ $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=-x^{2}+8 x-7$

Determine the average rate of change for the function. -F(x) = -5

Match the graph to one of the listed functions. -

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $h ( x ) = x ^ { 2 } + 5 x - 14$

Solve the problem. -If a polygon, of $n$ sides has $\frac { 1 } { 2 } n ( n - 3 )$ diagonals, how many sides will a polygon with 189 diagonals have?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 8 k + 1 | \geq 2$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | 8 k + 1 | \geq 2$

Solve the problem. -The price $p$ and the quantity $x$ sold of a certain product obey the demand equation $p = - \frac { 1 } { 6 } x + 200 , \quad 0 \leq x \leq 1,200 \text {. }$ What quantity $x$ maximizes revenue? What is the maximum revenue?

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Exam 2: Linear and Quadratic Functions

Determine the slope and y-intercept of the function. - F(x)=−14xF ( x ) = - \frac { 1 } { 4 } xF(x)=−41​x

Graph the function. State whether it is increasing, decreasing, or constant.. - h(x)=−2x+5h(x)=-2 x+5h(x)=−2x+5

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 24 26 28 30 32 15 13 20 16 24

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 1.2 1.4 1.6 1.8 2.0 54 53 55 54 56

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - f(x)=5x2−28x−12f ( x ) = 5 x ^ { 2 } - 28 x - 12f(x)=5x2−28x−12

Find the real zeros of the function. List the x-intercepts of the graph of the function. - P(x)=(4x−6)2−6(4x−6)+5P ( x ) = ( 4 x - 6 ) ^ { 2 } - 6 ( 4 x - 6 ) + 5P(x)=(4x−6)2−6(4x−6)+5

Solve the inequality. - x2−36≤0x ^ { 2 } - 36 \leq 0x2−36≤0

Solve the inequality. - x2+4x≥0x ^ { 2 } + 4 x \geq 0x2+4x≥0

Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=−x2+8x−7f(x)=-x^{2}+8 x-7f(x)=−x2+8x−7

Determine the average rate of change for the function. -F(x) = -5

Match the graph to one of the listed functions. -

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - h(x)=x2+5x−14h ( x ) = x ^ { 2 } + 5 x - 14h(x)=x2+5x−14

Solve the problem. -If a polygon, of nnn sides has 12n(n−3)\frac { 1 } { 2 } n ( n - 3 )21​n(n−3) diagonals, how many sides will a polygon with 189 diagonals have?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣8k+1∣≥2| 8 k + 1 | \geq 2∣8k+1∣≥2

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Determine the slope and y-intercept of the function. - $F ( x ) = - \frac { 1 } { 4 } x$

Graph the function. State whether it is increasing, decreasing, or constant.. - $h(x)=-2 x+5$

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $f ( x ) = 5 x ^ { 2 } - 28 x - 12$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $P ( x ) = ( 4 x - 6 ) ^ { 2 } - 6 ( 4 x - 6 ) + 5$

Solve the inequality. - $x ^ { 2 } - 36 \leq 0$

Solve the inequality. - $x ^ { 2 } + 4 x \geq 0$

Graph the function using its vertex, axis of symmetry, and intercepts. - $f(x)=-x^{2}+8 x-7$ $Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=-x^{2}+8 x-7$

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $h ( x ) = x ^ { 2 } + 5 x - 14$

Solve the problem. -If a polygon, of $n$ sides has $\frac { 1 } { 2 } n ( n - 3 )$ diagonals, how many sides will a polygon with 189 diagonals have?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 8 k + 1 | \geq 2$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | 8 k + 1 | \geq 2$