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1. |
The math scores, x, and chemistry scores, y, for six students are given in the table. Use a graphing calculator to find the Pearson product-moment correlation. |
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A. |
about 0.71 |
B. |
about 0.74 |
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C. |
about 0.65 |
D. |
about 0.68 |
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Hint |
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2. |
The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions. |
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A. |
All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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B. |
All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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C. |
All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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D. |
All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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Hint |
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3. |
Determine the symmetry of f(x) = x7. |
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A. |
symmetric with respect to the origin |
B. |
not symmetric |
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C. |
symmetric with respect to only the y-axis |
D. |
symmetric with respect to only the x-axis |
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Hint |
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4. |
A family has a monthly net pay N which is 70% of their gross monthly pay G. They decided to subtract their monthly food allowance of $350 from their monthly net pay and invest 5% of the remainder. Write an equation for the investment each month I, given the above restrictions. |
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A. |
I = 0.95(0.7G - 350) |
B. |
I = 0.95(0.3G - 350) |
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C. |
I = 0.05(0.7G - 350) |
D. |
I = 0.05(0.3G - 350) |
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Hint |
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5. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
Yes, because the function is defined at x = 2. |
B. |
None of these are correct. |
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C. |
Yes, because the function approaches the same y-value 8 on the left and right sides of x = 2. |
D. |
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. |
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Hint |
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6. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
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A. |
3 |
B. |
4 |
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C. |
5 |
D. |
2 |
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Hint |
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7. |
The factors of x2 - 8x - 20 = 0 are ____. |
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A. |
(x + 2) and (x + 10) |
B. |
(x + 2) and (x - 10) |
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C. |
(x - 2) and (x - 10) |
D. |
(x - 2) and (x + 10) |
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Hint |
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8. |
Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x) = x3 - 2x2 - x + 6. All real zeros of f(x) can be found in the interval. |
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A. |
-3 x -2 |
B. |
-2 x 3 |
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C. |
2 x 3 |
D. |
1 x 2 |
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Hint |
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9. |
Solve > 0. |
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A. |
-1 < x < 0 or x > 1 |
B. |
-2 < x < 0 or x > 2 |
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C. |
-2 < x < 0 or x < 1 |
D. |
-1 < x < 0 or x > 2 |
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Hint |
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10. |
Evaluate sin (arctan ). Assume that the angle is in Quadrant I. |
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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. |
Change radians to degree measure. |
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A. |
145° |
B. |
135° |
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C. |
-145° |
D. |
-135° |
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Hint |
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12. |
Find sin . |
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A. |
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B. |
1 |
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C. |
- |
D. |
-1 |
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Hint |
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13. |
Determine the exact value of cos , given sin and 0° < < 90° |
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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. |
Find the value of sin (x + y) if , sin x = , and sin y = . |
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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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15. |
Find a linear equation that can be used as a model for the data shown. |
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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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16. |
Choose the best method to solve the system of equations 4x + y = 6 and 2x - y = 10. |
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A. |
Eliminate x |
B. |
Graphing |
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C. |
Eliminate y |
D. |
Substitution |
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Hint |
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17. |
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. |
alternate optimal solutions |
B. |
unbounded |
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C. |
infeasible |
D. |
2 |
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Hint |
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18. |
Write an equation in slope-intercept form of the line whose parametric equations are x = 3t - 4 and y = -t + 8. |
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A. |
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B. |
y = -3t + 12 |
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C. |
y = 8 - x |
D. |
y = 3x - 4 |
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Hint |
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19. |
Given the coordinates of a rectangular prism, represent them as a vertex matrix: A(1, 5, 3), B (1, 5, -1), C (1, -3, -1), D (1, -3, 3), E (-4, 5, 3), F (-4, 5, -1), G (-4, -3, -1), H (-4, -3, 3) |
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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. |
Which of the following matrices represents a dilation by a scale factor of 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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