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1. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A'(9, -3), B'(12, -6), C'(21, 3) |
B. |
A'(21, 3), B'(12, -6), C'(-9, -3) |
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C. |
A,/i>'(12, -6), B'(21, 3), C'(-9, -3) |
D. |
A'(-3, 9), B'(-6, 12), C'(3, 21) |
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Hint |
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2. |
What are the vertices of the triangle formed? |
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A. |
(100, 400), (400, 500), and (100, 800) |
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B. |
(100, 400), (500, 400), and (100, 800) |
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C. |
(100, 400), (500, 400), and (800, 100) |
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D. |
(100, 400), (400, 500), and (800, 100) |
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Hint |
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3. |
If you use the parent graph y = as a reference, how would you graph y = - 3? |
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A. |
Move the parent graph to the left 3 units. |
B. |
Move the parent graph up 3 units. |
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C. |
Move the parent graph to the right 3 units. |
D. |
Move the parent graph down 3 units. |
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Hint |
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4. |
The terminal side of one angle in standard position contains the point with coordinates (3, -2). The terminal side of another angle in standard position contains the point with coordinates (-3, 2). Compare the tangents of these angles. |
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A. |
They are equal. |
B. |
One does not exist. |
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C. |
They are not equal. |
D. |
One is twice the other. |
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Hint |
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5. |
In given a = 22, b = 39 and c = 19, find B. |
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A. |
about 126.0° |
B. |
about 144.0° |
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C. |
about 54.0° |
D. |
about 36.0° |
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Hint |
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6. |
If a pulley is turned 240° per second and its radius is 4 inches, find its linear velocity in inches per second. Round to the nearest tenth. |
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A. |
33.5 in./s |
B. |
16.8 in./s |
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C. |
4.0 in./s |
D. |
22.3 in./s |
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Hint |
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7. |
Find the magnitude of the vector . |
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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. |
Which equation could represent a rose with 5 petals? |
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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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9. |
Write parametric equations of -2x + 5y = 9. |
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A. |
x = t and  |
B. |
x = t and y = 9 - 5t |
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C. |
x = t and y = -2t + 5 |
D. |
x = -t and  |
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Hint |
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10. |
Find . |
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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. |
Suppose the equation models a buoy bobbing up and down in the water. The equilibrium point is y = 0. Describe the location of the buoy when t = 7. |
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A. |
6 units below equilibrium |
B. |
6 units above equilibrium |
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C. |
3 units above equilibrium |
D. |
3 units below equilibrium |
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Hint |
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12. |
State the vertical shift and the equation of the midline for the function y = 3 cos + 4. |
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A. |
-3; y = -3 |
B. |
4; y = 4 |
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C. |
3; y = 3 |
D. |
-4; y = -4 |
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Hint |
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13. |
State the domain and range of the relation. Then state whether the relation is a function.{(2,-1), (-2,4), (2,5), (3,6)} |
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A. |
Domain {-1,4,5,6}Range {-2,2,3} The relation is not a function. |
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B. |
Domain {-2,2,3} Range {-1,4,5,6} The relation is a function. |
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C. |
Domain {-1,4,5,6}Range {-2,2,3}The relation is a function. |
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D. |
Domain {-2,2,3} Range {-1,4,5,6}The relation is not a function. |
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Hint |
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14. |
Find the inverse of . |
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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 is an odd 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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16. |
Given the function f(x) = , find the inverse. |
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A. |
f -1(x) = 4  |
B. |
f -1(x) = x - 4 |
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C. |
f -1(x) = 1  |
D. |
f -1(x) =  |
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Hint |
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17. |
The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection. |
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A. |
There is a minimum at (4,2) |
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B. |
none of these |
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C. |
There is a point of inflection at (4,2) |
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D. |
There is a maximum at (4,2) |
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Hint |
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18. |
Which best describes this graph? |
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A. |
direct variation |
B. |
joint variation |
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C. |
none of these |
D. |
inverse variation |
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Hint |
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19. |
Find the ordered triple that represents the vector from S(9, -2, -11) to T(2, 2, 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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20. |
Find the quotient Express the answer in rectangular form, approximating a and b to the nearest hundredth. |
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A. |
-2.40 - 2.40i |
B. |
2.14 + 2.64i |
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C. |
2.14 - 2.64i |
D. |
0.19 - 0.23i |
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Hint |
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