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1. |
Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
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A. |
y = 800x - 4500 |
B. |
y = 4500x - 800 |
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C. |
y = 800x + 4500 |
D. |
y = 4500x + 800 |
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Hint |
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2. |
Which is the best prediction equation for the data? |
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A. |
y = 20x - 19,950 |
B. |
y = 10x - 19,950 |
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C. |
y = 25x - 19,950 |
D. |
y = 5x - 19,950 |
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Hint |
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3. |
Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing. |
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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. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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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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5. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
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A. |
relative maximum: (1.38, -0.6); relative minimum (0.6, 0.62) |
B. |
relative maximum: (-0.6, 1.38); relative minimum: (0.6, 0.62) |
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C. |
relative minimum: (-0.6, 1.38); relative maximum: (0.6, 0.62) |
D. |
relative minimum: (1.38, -0.6); relative maximum: (0.6, 0.62) |
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Hint |
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6. |
Solve the equation = y. |
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A. |
3, 9 |
B. |
-3 |
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C. |
None is correct. |
D. |
3 |
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Hint |
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7. |
Solve the equation cos x = . |
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A. |
x equals 60°, 300° or any angle coterminal with these angles. |
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B. |
x equals 120°, 240° or any angle coterminal with these angles. |
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C. |
x equals 150°, 210° or any angle coterminal with these angles. |
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D. |
x equals 30°, 330° or any angle coterminal with these angles. |
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Hint |
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8. |
Complete the identity _______. |
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A. |
cot x |
B. |
tan x |
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C. |
cos x |
D. |
sin x |
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Hint |
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9. |
Complete the identity _______. |
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A. |
sec x |
B. |
cot x |
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C. |
csc x |
D. |
tan x |
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Hint |
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10. |
Graph the point . |
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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 the equation 3x + 4y = 9 in polar form. |
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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. |
Find the product 5(cos 120° + i sin 120°) · 2(cos 90° + i sin 90°). Express the result in rectangular form. |
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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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13. |
In the general equation of a conic, B = 0, A = C = 1, D = -4, E = -6, and F = 4. Write the equation in standard form. |
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A. |
(x - 2)2 + (y + 3)2 = 9 |
B. |
(x - 3)2 + (y - 2)2 = 9 |
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C. |
(x - 3)2 + (y + 2)2 = 9 |
D. |
(x - 2)2 + (y - 3)2 = 9 |
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Hint |
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14. |
A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. |
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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. |
Which of the following describes the system of equations x - 3y + 2 = 0 and 2x - 6y + 4 = 0? |
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A. |
none of these |
B. |
Inconsistent |
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C. |
Consistent and independent |
D. |
Consistent and dependent |
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Hint |
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16. |
The image of after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
reflection over the y-axis |
B. |
reflection over the x-axis |
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C. |
none of these |
D. |
reflection over the line y = x |
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Hint |
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17. |
Find the maximum value of f(x, y) = x - 4y for the system of inequalities. 2x + y 3 2x + y -2 y 4 x < 1 |
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A. |
-16 |
B. |
-3 |
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C. |
-17 |
D. |
16 |
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Hint |
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18. |
Determine the equation of the vertical asymptote for the function: f(x) = + 2. |
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A. |
x = -2 |
B. |
y = 0 |
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C. |
x = 2 |
D. |
x = 0 |
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Hint |
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19. |
Hetu is playing catch with a friend. If Hetu throws the ball at 21.3 m/s, at an angle of 30° with the horizontal, and his friend catches the ball at the same height from which Hetu threw it, how far away is his friend standing? |
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A. |
23.1 m |
B. |
46.2 m |
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C. |
40.0 m |
D. |
53.4 m |
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Hint |
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20. |
Find the parametric equations for the equation  |
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A. |
y = 3 sin2 t, x = 2cos2 t , 0 < t < 2 |
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B. |
y2 = 9sin t, x2 = 2cos t , 0 < t < 2 |
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C. |
y = 9sin t, x = 2cos t , 0 < t < 2 |
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D. |
y = 3sin t, x = 2cos t , 0 < t < 2 |
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Hint |
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