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Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E) . Graph this equation with a graphing utility and the range Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E) Because E represents consumer expenditure, only values of Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E) have meaning. Determine the values of p for which Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E) . ​ ​


A) Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E)
B) Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E)
C) Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E)
D) Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E)
E) Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​ A) B) C) D) E)

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For For and , find . ​ A) B) C) D) E) and For and , find . ​ A) B) C) D) E) , find For and , find . ​ A) B) C) D) E) . ​


A) For and , find . ​ A) B) C) D) E)
B) For and , find . ​ A) B) C) D) E)
C) For and , find . ​ A) B) C) D) E)
D) For and , find . ​ A) B) C) D) E)
E) For and , find . ​ A) B) C) D) E)

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Which of the graphs below represent y as a function of x? ​ (a) ​ Which of the graphs below represent y as a function of x? ​ (a) ​ (b) ​ ​ A) only (a) B) neither (a) nor (b) C) only (b) D) both (a) and (b) (b) ​ Which of the graphs below represent y as a function of x? ​ (a) ​ (b) ​ ​ A) only (a) B) neither (a) nor (b) C) only (b) D) both (a) and (b) ​


A) only (a)
B) neither (a) nor (b)
C) only (b)
D) both (a) and (b)

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In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned x, according to the equation In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned x, according to the equation . Use the intercepts to determine a window, and then use a graphing utility to graph the equation for Based on the graph, is the learning rate increasing or decreasing? ​ A) increasing B) decreasing . Use the intercepts to determine a window, and then use a graphing utility to graph the equation for In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned x, according to the equation . Use the intercepts to determine a window, and then use a graphing utility to graph the equation for Based on the graph, is the learning rate increasing or decreasing? ​ A) increasing B) decreasing Based on the graph, is the learning rate increasing or decreasing? ​


A) increasing
B) decreasing

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The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. ​ The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. ​ and ​ ​ A) one solution B) no solution C) infinite solutions and The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. ​ and ​ ​ A) one solution B) no solution C) infinite solutions ​ The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. ​ and ​ ​ A) one solution B) no solution C) infinite solutions ​


A) one solution
B) no solution
C) infinite solutions

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A nut wholesaler sells a mix of cashews and peanuts. He charges $2.80 per pound for cashews and $5.30 per pound for peanuts. If the mix is to sell for $3.3 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix? ​


A) The wholesaler should mix 13.4 pounds of peanuts with 61 pounds of cashews.
B) The wholesaler should mix 14 pounds of peanuts with 73.4 pounds of cashews.
C) The wholesaler should mix 26.6 pounds of peanuts with 86 pounds of cashews.
D) The wholesaler should mix 39 pounds of peanuts with 86.6 pounds of cashews.
E) The wholesaler should mix 20 pounds of peanuts with 80 pounds of cashews.

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Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph? ​ ​ Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph? ​ ​ ​ ​ ​ A) Yes B) No ​ ​ Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph? ​ ​ ​ ​ ​ A) Yes B) No ​


A) Yes
B) No

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The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. ​ The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. ​ ​ Will a price above the equilibrium price result in a market surplus or shortage? ​ A) shortage B) surplus ​ Will a price above the equilibrium price result in a market surplus or shortage? ​


A) shortage
B) surplus

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Graph the function using a window that gives a complete graph. What does y approach as x gets large? ​ Graph the function using a window that gives a complete graph. What does y approach as x gets large? ​ ​ A) 0 B) -10 C) 1 D) 10 E) 5 ​


A) 0
B) -10
C) 1
D) 10
E) 5

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Solve the inequality and choose the graph of the solution. ​ Solve the inequality and choose the graph of the solution. ​ ​ A) B) C) D) E) ​


A) Solve the inequality and choose the graph of the solution. ​ ​ A) B) C) D) E)
B) Solve the inequality and choose the graph of the solution. ​ ​ A) B) C) D) E)
C) Solve the inequality and choose the graph of the solution. ​ ​ A) B) C) D) E)
D) Solve the inequality and choose the graph of the solution. ​ ​ A) B) C) D) E)
E) Solve the inequality and choose the graph of the solution. ​ ​ A) B) C) D) E)

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If a line is vertical, then its slope is undefined.


A) True
B) False

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Solve the system of equations by substitution. ​ Solve the system of equations by substitution. ​ ​ A) (-10,-21) B) (5,-10) C) (9,-21) D) (5,9) E) (-21,5) ​


A) (-10,-21)
B) (5,-10)
C) (9,-21)
D) (5,9)
E) (-21,5)

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Find the slope m and y-intercept b of the line whose equation is given below. ​ X = - Find the slope m and y-intercept b of the line whose equation is given below. ​ X = - ​ A) ​m = - , b = 0 B) m = 0, b = 0 C) m = - , b = D) m = 0, b = - E) Both m and b are undefined. ​


A) ​m = - Find the slope m and y-intercept b of the line whose equation is given below. ​ X = - ​ A) ​m = - , b = 0 B) m = 0, b = 0 C) m = - , b = D) m = 0, b = - E) Both m and b are undefined.
, b = 0
B) m = 0, b = 0
C) m = - Find the slope m and y-intercept b of the line whose equation is given below. ​ X = - ​ A) ​m = - , b = 0 B) m = 0, b = 0 C) m = - , b = D) m = 0, b = - E) Both m and b are undefined.
, b = Find the slope m and y-intercept b of the line whose equation is given below. ​ X = - ​ A) ​m = - , b = 0 B) m = 0, b = 0 C) m = - , b = D) m = 0, b = - E) Both m and b are undefined.
D) m = 0, b = - Find the slope m and y-intercept b of the line whose equation is given below. ​ X = - ​ A) ​m = - , b = 0 B) m = 0, b = 0 C) m = - , b = D) m = 0, b = - E) Both m and b are undefined.
E) Both m and b are undefined.

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The graph of The graph of is shown in the figure below. ​ ​ ​ Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation? ​ A) Yes B) No is shown in the figure below. ​ ​ The graph of is shown in the figure below. ​ ​ ​ Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation? ​ A) Yes B) No ​ Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation? ​


A) Yes
B) No

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Suppose a calculator manufacturer has the total cost function Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​ A) B) C) D) E) and the total revenue function Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​ A) B) C) D) E) , where x represents the number of calculators sold. What is the equation of the profit function, Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​ A) B) C) D) E) , for the calculator manufacturer? ​


A) Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​ A) B) C) D) E)
B) Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​ A) B) C) D) E)
C) Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​ A) B) C) D) E)
D) Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​ A) B) C) D) E)
E) Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​ A) B) C) D) E)

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A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product? ​


A) A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product? ​ A) B) C) D) E)
B) A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product? ​ A) B) C) D) E)
C) A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product? ​ A) B) C) D) E)
D) A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product? ​ A) B) C) D) E)
E) A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product? ​ A) B) C) D) E)

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A linear cost function is A linear cost function is , where x represents the number of units produced. What is the cost of producing one more item if 150 are currently being produced? Round your answer to the nearest cent. ​ A) $9,766.18 B) $29.18 C) $5,360.00 D) $5,389.18 E) $150.00 , where x represents the number of units produced. What is the cost of producing one more item if 150 are currently being produced? Round your answer to the nearest cent. ​


A) $9,766.18
B) $29.18
C) $5,360.00
D) $5,389.18
E) $150.00

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Solve the system by elimination, or by any convenient method. ​ Solve the system by elimination, or by any convenient method. ​ ​ A) ​ And B) ​ And C) ​​ And D) There are infinitely many solutions. E) There is no solution. ​


A) ​ Solve the system by elimination, or by any convenient method. ​ ​ A) ​ And B) ​ And C) ​​ And D) There are infinitely many solutions. E) There is no solution.
And Solve the system by elimination, or by any convenient method. ​ ​ A) ​ And B) ​ And C) ​​ And D) There are infinitely many solutions. E) There is no solution.
B) ​ Solve the system by elimination, or by any convenient method. ​ ​ A) ​ And B) ​ And C) ​​ And D) There are infinitely many solutions. E) There is no solution.
And Solve the system by elimination, or by any convenient method. ​ ​ A) ​ And B) ​ And C) ​​ And D) There are infinitely many solutions. E) There is no solution.
C) ​​ Solve the system by elimination, or by any convenient method. ​ ​ A) ​ And B) ​ And C) ​​ And D) There are infinitely many solutions. E) There is no solution.
And Solve the system by elimination, or by any convenient method. ​ ​ A) ​ And B) ​ And C) ​​ And D) There are infinitely many solutions. E) There is no solution.
D) There are infinitely many solutions.
E) There is no solution.

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Solve the equation. ​ Solve the equation. ​ ​ A) B) C) 14 D) 0 E) 4 ​


A) Solve the equation. ​ ​ A) B) C) 14 D) 0 E) 4
B) Solve the equation. ​ ​ A) B) C) 14 D) 0 E) 4
C) 14
D) 0
E) 4

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Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​ Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​ ​ A) B) C) D) E) ​


A) Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​ ​ A) B) C) D) E)
B) Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​ ​ A) B) C) D) E)
C) Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​ ​ A) B) C) D) E)
D) Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​ ​ A) B) C) D) E)
E) Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​ ​ A) B) C) D) E)

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