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1. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = 2x - 25 |
B. |
y = x - 576 |
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C. |
y = 23x - 21,000 |
D. |
y = 12x - 23,947 |
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2. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
none of these. |
B. |
a circle. |
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C. |
a line. |
D. |
a plane. |
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Hint |
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3. |
Find the value of . |
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A. |
-17 |
B. |
-3 |
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C. |
17 |
D. |
3 |
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Hint |
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4. |
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 down 3 units. |
B. |
Move the parent graph to the left 3 units. |
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C. |
Move the parent graph up 3 units. |
D. |
Move the parent graph to the right 3 units. |
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Hint |
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5. |
If you use the parent graph f(x) = x2, describe how you would graph g(x) = (x - 4)2 - 2. |
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A. |
Move the parent graph right 4 units and up 2 units. |
B. |
Move the parent graph left 4 units and down 2 units. |
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C. |
Move the parent graph left 4 units and up 2 units. |
D. |
Move the parent graph right 4 units and down 2 units. |
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Hint |
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6. |
Determine between which consecutive integers the real zeros of f(x) = x4 - 4x2 + x - 3 are located. |
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A. |
between -3 and -2 and between 5 and 6 |
B. |
between -4 and -3 and between 3 and 4 |
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C. |
between -3 and -2 and between 2 and 3 |
D. |
between -2 and -1 and between 2 and 3 |
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Hint |
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7. |
Solve > 0. |
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A. |
-1 < x < 0 or x > 2 |
B. |
-2 < x < 0 or x > 2 |
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C. |
-2 < x < 0 or x < 1 |
D. |
-1 < x < 0 or x > 1 |
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Hint |
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8. |
Write the equation for the inverse of y = Arctan 4x. |
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A. |
y = 2 Tan x |
B. |
y = Tan x |
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C. |
y = Tan x |
D. |
y = 4 Tan x |
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Hint |
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9. |
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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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. |
Use polar form to find the product (4 + 4i)(-2 + 2i). Express the result in rectangular form. |
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A. |
-16 |
B. |
16 |
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C. |
-16i |
D. |
16i |
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Hint |
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12. |
The equation of a circle is 3x2 + 3y2 – 6x + 12y – 24 = 0. Find its center and radius. |
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A. |
(1, –2);  |
B. |
(–1, 2);  |
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C. |
(1, –2); 13 |
D. |
(–1, 2); 13 |
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Hint |
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13. |
Write the equation x2 + 2y2 + 2x + 4y - 1 = 0 in standard 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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14. |
Solve 54x = 72. |
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A. |
0.4217 |
B. |
0.5139 |
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C. |
0.3246 |
D. |
0.6643 |
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Hint |
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15. |
The function f(x) = - (x + 2)3 - 3 has a critical point at x = -2. Determine whether this is the location of a maximum, minimum or a point of inflection. |
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A. |
extremum |
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B. |
maximum |
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C. |
minimum |
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D. |
point of inflection |
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Hint |
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16. |
Find the magnitude of for N(-2, -6, -12) and K(3, -6, 7). |
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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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17. |
In physics, you can determine how much force with which an object is sliding down a frictionless incline by adding the gravitational force vector and the ''normal force'' vector. The normal force vector is always directed up out of the incline perpendicular to it (90° more than the measure of the incline). The magnitude m of the normal force can be calculated by m = f cos , where f is the gravitational force and is the angle measure of the incline. If a gravitational force (always straight down) of 50 N is being exerted on an object on a 25° incline, what is the magnitude of the force with which it is sliding down the incline? |
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A. |
21.1 N |
B. |
50 N |
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C. |
93.1 N |
D. |
45.3 N |
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Hint |
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18. |
Find the direction of the resultant of a 7-newton force at an angle of 35° above the x-axis and a 12-newton force at an angle of 35° below the x-axis. |
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A. |
-2.9° |
B. |
0° |
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C. |
10.4° |
D. |
-10.4° |
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Hint |
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19. |
Find the rectangular coordinates of the point K(4, 276°). |
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A. |
(0.42, -3.98) |
B. |
(-3.98, 0.42) |
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C. |
(-2.38, -38.06) |
D. |
(-38.06, -38.06) |
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Hint |
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20. |
Find the polar coordinates of the point P(8, -2). |
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A. |
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B. |
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C. |
(10, -4) |
D. |
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Hint |
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