Quadratic Inequalities

Question 1

Determine the solution for.

Revolt · Accepted Answer

C: or

Question 2

Which graph represents the solution for x2 + x – 12 > 0?

Revolt · Accepted Answer

C:

Question 3

{x | x = 6} {x | –6 x < 6}{ }{ and }

Revolt · Accepted Answer

D: { and }

Question 4

–8, –6, –4–10, –6, 0 –6, 0, 6–6, 0, 10

Revolt · Accepted Answer

A: –8, –6, –4; B: –10, –6, 0

Question 5

Choose the graph of y < –x2 + 4x + 5.

Revolt · Accepted Answer

A:

Question 6

Question 6

Revolt · Accepted Answer

A:

Question 7

Question 7

Revolt · Accepted Answer

To graph y ≤ -x^2 + 2x, first graph the boundary parabola y = -x^2 + 2x. The parabola opens downward because the leading coefficient is negative. Find the vertex by using x = -b/(2a) = -2/(2*-1) = 1; the vertex is at (1, 1). The x-intercepts are at x=0 and x=2. Use a solid line for the boundary because the inequality is 'less than or equal to'. Finally, test a point like (1, 0). Since 0 ≤ -1^2 + 2(1) (0 ≤ 1) is true, shade the region inside the parabola.

Question 8

A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less than the height of the prism. The length of the base must be 6 meters more than the width of the base. Find the maximum height of the prism.Let x = the height of the prismx – 9 = ✔ the width of the basethe length of the basethe area of the base

Revolt · Accepted Answer

A: ✔ the width of the base

Question 9

Select the inequality that represents the problem.

Revolt · Accepted Answer

D: x2 – 12 x 0

Question 10

A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function . When is the soccer ball moving through the air?

Revolt · Accepted Answer

C: {t | 0 < t < 2}

Quadratic Inequalities Answers

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