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1. |
The revenue for the sale of x objects is r(x) = 8x. The cost of manufacturing x objects is c(x) = 0.5x + 300. Write the profit function. |
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A. |
7.5x + 300 |
B. |
7.5x - 300 |
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C. |
8.5x - 300 |
D. |
8.5x + 300 |
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Hint |
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2. |
Write an equation in slope-intercept form for the line with a slope
of  and a y-intercept of -3. |
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A. |
y = x - 3 |
B. |
y =  x + 3 |
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C. |
y = x + 3 |
D. |
y = x - 3 |
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Hint |
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3. |
Which is the graph of f(x) = [[2x]]? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
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A. |
The product doesn't exist. |
B. |
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C. |
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D. |
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Hint |
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5. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
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A. |
(100, 400) |
B. |
(100, 800) |
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C. |
(300, 500) |
D. |
(500, 400) |
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Hint |
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6. |
Solve |x + 4| > 2. |
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A. |
-6 < x < -2 |
B. |
x < -6 |
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C. |
x > -6 or x < -2 |
D. |
x < -6 or x > -2 |
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Hint |
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7. |
Which is the graph of f(x) = |x| - 4 and its inverse? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
Suppose I = 0.05(0.6G - 400), where G = the gross monthly pay and
I = the amount of the investment. Determine the equation which represents the inverse process. |
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A. |
G =  |
B. |
G =  |
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C. |
G =  |
D. |
G =  |
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Hint |
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9. |
Determine whether the given critical point of x = -7 is the location of a relative maximum, relative minimum, or a point of inflection for the function f(x) =  x3 +  x2 + 1. |
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A. |
point of inflection |
B. |
maximum |
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C. |
minimum |
D. |
none is correct |
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Hint |
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10. |
Find the zero of f(x) = 2x - 3, then graph the function. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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11. |
Write an equation of the line that passes through the points (-2, 4) and (6, -4). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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12. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
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A. |
y = 5 |
B. |
y = -6 |
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C. |
x = 5 |
D. |
x = -6 |
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Hint |
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13. |
Graph the data on a scatter plot. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
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A. |
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B. |
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C. |
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D. |
impossible |
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Hint |
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15. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y  x - 4
x  0
y 0 |
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A. |
2 |
B. |
alternate optimal solutions |
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C. |
infeasible |
D. |
unbounded |
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Hint |
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16. |
If you use y = x3 as a reference graph, describe how you would
graph y = (x + 3)3 - 4. |
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A. |
Move 3 units up, then move 4 units to the left. |
B. |
Move 3 units to the right, then 4 units down. |
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C. |
Move 3 units to the left, then 4 units down. |
D. |
Move 3 units down, then move 4 units to the right. |
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Hint |
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17. |
Solve |3x + 5| - 4 < 2. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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18. |
The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point. |
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A. |
(3,4) is the absolute minimum of this function. |
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B. |
(3,4) is the relative maximum of this function. |
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C. |
(3,4) is the absolute maximum of this function. |
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D. |
(3,4) is the point of inflection. |
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Hint |
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19. |
Use the parent graph f(x) =  to graph the function g(x) =  . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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20. |
Dakota wants to cook a meal for his family. He knows that the more people who help, the less time it will take to prepare the food. Write an equation that represents this situation. Let C be the cooks in the kitchen, T be the time and k as the constant of variation. |
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A. |
C = kT |
B. |
k = CT |
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C. |
T = kC |
D. |
k = CT |
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Hint |
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