A company plans to sell embroidered hats for $15 each. The company’s financial planner estimates that the cost, y, of manufacturing the hats is a quadratic function with a y-intercept of 7,920 and a vertex of (150, 9,000). What is the minimum number of hats the company must sell to make a profit?

A

151

B

401

C

529

D

601

2

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Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

A

Option

B

(–12, 7]

C

Option

D

Option

3

Which graph represents the solution to the system of inequalities?

A

On a coordinate plane, a curve approaches the x-axis in quadrant 2 and increase through (0, 1) and (2, 9). An ellipse has center (0, 0) and goes through (4, 0), (0, negative 8), (negative 4, 0), and (0, 8). Everything inside of the ellipse and below the curve is shaded.

B

On a coordinate plane, a curve approaches the x-axis in quadrant 2 and increase through (0, 1) and (2, 9). An ellipse has center (0, 0) and goes through (4, 0), (0, negative 8), (negative 4, 0), and (0, 8). Everything inside of the ellipse and above the curve is shaded.

C

On a coordinate plane, a curve approaches the x-axis in quadrant 2 and increase through (0, 1) and (2, 9). An ellipse has center (0, 0) and goes through (8, 0), (0, negative 4), (negative 8, 0) and (0, 4). Everything inside of the ellipse and below the curve is shaded.

D

Option

4

The graph of a quadratic inequality is shown.

A

y greater-than-or-equal-to two-ninths (x minus 4) squared + 28

B

y greater-than (x minus 4) squared + 28

C

y greater-than-or-equal-to negative 2 (x + 4) squared + 28

D

y greater-than (x + 4) squared + 28

5

Which quadratic inequality does the graph below represent?

A

Option

B

Option

C

Option

D

Option

6

Which graph shows the solution to the inequality ?

A

Option

B

Option

C

Option

D

Option

7

Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make $884 by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?

A

$0.40

B

$2.50

C

$3.75

D

$4.00

8

A graph of a quadratic function y = f(x) is shown below.What is the solution set of the quadratic inequality f(x) 0?

A

Option

B

Option

C

Option

D

Option

9

Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground. To the nearest hundredth of a second, how long after she jumps does the ball reach Sharon?

A

0.65 seconds

B

0.92 seconds

C

1.08 seconds

D

1.15 seconds

10

The graph of a quadratic inequality is shown.

A

y less-than-or-equal-to negative 3 x squared + 36 x minus 96

B

y less-than negative 3 x squared + 36 x minus 96

C

y less-than-or-equal-to 3 x squared minus 36 x + 96

D

y less-than 3 x squared minus 36 x + 96

11

Review the graph.

A

y ≤ x2 – 8 and x > y2 + 1

B

y ≥ x2 – 8 and x < y2 + 1

C

y ≤ x2 + 1 and x > y2 – 8

D

y ≥ x2 + 1 and x < y2 – 8

12

Which graph represents the solution of x2 + (y – 2)2 8x?

A

On a coordinate plane, a circle has center (0, 2) and radius 3. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and inside of the parabola is shaded.

B

On a coordinate plane, a circle has center (0, 2) and radius 3. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and outside of the parabola is shaded.

C

On a coordinate plane, a circle has center (2, 0) and radius 6. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and outside of the parabola is shaded.

D

Option

13

Which inequality is less than the quadratic function with zeros –7 and 1 and includes the point on the boundary?

A

y less-than negative three-halves x squared + 9 x + StartFraction 21 over 2 EndFraction

B

y less-than three-halves x squared + 9 x minus StartFraction 21 over 2 EndFraction

C

y less-than negative three-halves x squared minus 9 x + StartFraction 21 over 2 EndFraction

D

y less-than three-halves x squared minus 9 x minus StartFraction 21 over 2 EndFraction

14

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?