Exam 2: Graphical and Tabular Analysi

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ . In what birth year would a child have a life expectancy of 77.7 years?

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Question 1

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Solve the equation Restrict your attention to the horizontal span of 0 to 5.

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Question 2

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The life expectancy E , in solar lifetimes, of certain stars depends on their mass M , in solar masses. The relationship is $E = M ^ { - 25 }$ As mass increases, life expectancy decreases. What can you say about the rate of decrease? A graph of E versus M can help you answer this question.

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Question 3

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For which value of $x$ does $7 x ^ { 2 } - 7 x + 16$ reach a minimum? Restrict your attention to the horizontal span of 0 to 7.

(Multiple Choice)

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Question 4

The life expectancy E , in solar lifetimes, of certain stars depends on their mass M , in solar masses. The relationship is $E = M ^ { - 25 }$ As mass increases, life expectancy decreases. What can you say about the rate of decrease? A graph of E versus M can help you answer this question.

(Multiple Choice)

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Question 5

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

(Multiple Choice)

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Question 6

Which of the following is the graph of $e ^ { x } - 4.3 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

(Multiple Choice)

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Question 7

The amount $A$ , in grams, of a radioactive substance remaining after $The amount A , in grams, of a radioactive substance remaining after years is given by A = 14 \times 0.68 ^ { t} What is the limiting value for the amount of the radioactive substance?$ years is given by $A = 14 \times 0.68 ^ { t}$ What is the limiting value for the amount of the radioactive substance?

(Multiple Choice)

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Question 8

For which value of $x$ does $4 x ^ { 2 } - 10 x + 15$ reach a minimum? Restrict your attention to the horizontal span of 0 to 10.

(Multiple Choice)

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Question 9

What is the minimum value of $7 x ^ { 3 } - 6 x + 7 ?$ Restrict your attention to the horizontal span of 0 to 6.

(Multiple Choice)

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Question 10

A rental car charges $61.97 for insurance and other fees plus a flat rate of $28.42 per day. Write a formula that gives the cost C , in dollars, of renting a car for days.

(Multiple Choice)

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Question 11

What value of $x$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 39.09 ?$ Consider only positive $x$ -values.

(Multiple Choice)

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Question 12

Solve the inequality $7 < 3.1 \times 1.6 ^ { x } < 23$

(Multiple Choice)

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Question 13

The amount $A$ , in grams, of a radioactive substance remaining after $The amount A , in grams, of a radioactive substance remaining after years is given by A = 19 \times 0.67 ^ { t } What is the limiting value for the amount of the radioactive substance?$ years is given by $A = 19 \times 0.67 ^ { t }$ What is the limiting value for the amount of the radioactive substance?

(Multiple Choice)

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Question 14

Solve the inequality $8 - x ^ { 2 } > 5 + x ^ { 4 }$ Be careful. The graphs cross twice.

(Multiple Choice)

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Question 15

Which of the following is the graph of $e ^ { x } - 4.9 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

(Multiple Choice)

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Question 16

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

(Multiple Choice)

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Question 17

Which of the following is the graph of $\frac { x ^ { 2 } + 27 } { x + 9 }$ on a horizontal span of 0 to 4.5?

(Multiple Choice)

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Question 18

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ In what birth year would a child have a life expectancy of 77.7 years?

(Multiple Choice)

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Question 19

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?$ Consider only positive $x$ -values.

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Question 20

Showing 1 - 20 of 99

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ . In what birth year would a child have a life expectancy of 77.7 years?

Solve the equation Restrict your attention to the horizontal span of 0 to 5.

The life expectancy E , in solar lifetimes, of certain stars depends on their mass M , in solar masses. The relationship is $E = M ^ { - 25 }$ As mass increases, life expectancy decreases. What can you say about the rate of decrease? A graph of E versus M can help you answer this question.

For which value of $x$ does $7 x ^ { 2 } - 7 x + 16$ reach a minimum? Restrict your attention to the horizontal span of 0 to 7.

The life expectancy E , in solar lifetimes, of certain stars depends on their mass M , in solar masses. The relationship is $E = M ^ { - 25 }$ As mass increases, life expectancy decreases. What can you say about the rate of decrease? A graph of E versus M can help you answer this question.

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Which of the following is the graph of $e ^ { x } - 4.3 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

For which value of $x$ does $4 x ^ { 2 } - 10 x + 15$ reach a minimum? Restrict your attention to the horizontal span of 0 to 10.

What is the minimum value of $7 x ^ { 3 } - 6 x + 7 ?$ Restrict your attention to the horizontal span of 0 to 6.

A rental car charges $61.97 for insurance and other fees plus a flat rate of $28.42 per day. Write a formula that gives the cost C , in dollars, of renting a car for days.

What value of $x$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 39.09 ?$ Consider only positive $x$ -values.

Solve the inequality $7 < 3.1 \times 1.6 ^ { x } < 23$

Solve the inequality $8 - x ^ { 2 } > 5 + x ^ { 4 }$ Be careful. The graphs cross twice.

Which of the following is the graph of $e ^ { x } - 4.9 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Which of the following is the graph of $\frac { x ^ { 2 } + 27 } { x + 9 }$ on a horizontal span of 0 to 4.5?

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ In what birth year would a child have a life expectancy of 77.7 years?

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?$ Consider only positive $x$ -values.

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Exam 2: Graphical and Tabular Analysi

The life expectancy E , in years, for a child born years after 2000 is given by E=76.62+0.18tE = 76.62 + 0.18 tE=76.62+0.18t . In what birth year would a child have a life expectancy of 77.7 years?

Solve the equation Restrict your attention to the horizontal span of 0 to 5.

For which value of xxx does 7x2−7x+167 x ^ { 2 } - 7 x + 167x2−7x+16 reach a minimum? Restrict your attention to the horizontal span of 0 to 7.

Solve the equation 201+2x=x\frac { 20 } { 1 + 2 ^ { x } } = x1+2x20​=x Restrict your attention to the horizontal span of 0 to 5.

Which of the following is the graph of ex−4.3x2e ^ { x } - 4.3 x ^ { 2 }ex−4.3x2 on a horizontal span of 0 to 4.5?

The amount AAA , in grams, of a radioactive substance remaining after years is given by A=14×0.68tA = 14 \times 0.68 ^ { t}A=14×0.68t What is the limiting value for the amount of the radioactive substance?

For which value of xxx does 4x2−10x+154 x ^ { 2 } - 10 x + 154x2−10x+15 reach a minimum? Restrict your attention to the horizontal span of 0 to 10.

What is the minimum value of 7x3−6x+7?7 x ^ { 3 } - 6 x + 7 ?7x3−6x+7? Restrict your attention to the horizontal span of 0 to 6.

A rental car charges $61.97 for insurance and other fees plus a flat rate of $28.42 per day. Write a formula that gives the cost C , in dollars, of renting a car for days.

What value of xxx gives the minimum value of (x−4)ex+2x2−12x+39.09?( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 39.09 ?(x−4)ex+2x2−12x+39.09? Consider only positive xxx -values.

Solve the inequality 7<3.1×1.6x<237 < 3.1 \times 1.6 ^ { x } < 237<3.1×1.6x<23

The amount AAA , in grams, of a radioactive substance remaining after years is given by A=19×0.67tA = 19 \times 0.67 ^ { t }A=19×0.67t What is the limiting value for the amount of the radioactive substance?

Solve the inequality 8−x2>5+x48 - x ^ { 2 } > 5 + x ^ { 4 }8−x2>5+x4 Be careful. The graphs cross twice.

Which of the following is the graph of ex−4.9x2e ^ { x } - 4.9 x ^ { 2 }ex−4.9x2 on a horizontal span of 0 to 4.5?

Solve the equation 201+2x=x\frac { 20 } { 1 + 2 ^ { x } } = x1+2x20​=x Restrict your attention to the horizontal span of 0 to 5.

Which of the following is the graph of x2+27x+9\frac { x ^ { 2 } + 27 } { x + 9 }x+9x2+27​ on a horizontal span of 0 to 4.5?

The life expectancy E , in years, for a child born years after 2000 is given by E=76.62+0.18tE = 76.62 + 0.18 tE=76.62+0.18t In what birth year would a child have a life expectancy of 77.7 years?

What is the minimum value of y=(x−6)ex+3x2−30x+225.41?y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?y=(x−6)ex+3x2−30x+225.41? Consider only positive xxx -values.

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The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ . In what birth year would a child have a life expectancy of 77.7 years?

For which value of $x$ does $7 x ^ { 2 } - 7 x + 16$ reach a minimum? Restrict your attention to the horizontal span of 0 to 7.

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Which of the following is the graph of $e ^ { x } - 4.3 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

For which value of $x$ does $4 x ^ { 2 } - 10 x + 15$ reach a minimum? Restrict your attention to the horizontal span of 0 to 10.

What is the minimum value of $7 x ^ { 3 } - 6 x + 7 ?$ Restrict your attention to the horizontal span of 0 to 6.

What value of $x$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 39.09 ?$ Consider only positive $x$ -values.

Solve the inequality $7 < 3.1 \times 1.6 ^ { x } < 23$

Solve the inequality $8 - x ^ { 2 } > 5 + x ^ { 4 }$ Be careful. The graphs cross twice.

Which of the following is the graph of $e ^ { x } - 4.9 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Which of the following is the graph of $\frac { x ^ { 2 } + 27 } { x + 9 }$ on a horizontal span of 0 to 4.5?

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ In what birth year would a child have a life expectancy of 77.7 years?

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?$ Consider only positive $x$ -values.