AnswersAlgebra III AQuadratic Inequalities

Quadratic Inequalities Answers

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1
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Determine the solution for.

Question illustration
A
[–7, 4]
B
[–4, 7]
C
[image 1] or [image 2]
Option C
D
[image 1] or [image 2]
Option D
2
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Which graph represents the solution for x2 + x – 12 > 0?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
4

{x | x = 6} {x | –6 x < 6}{ [image 1] }{ [image 2] and [image 3] } [image 4]

A
{x | x = 6}
Option A
B
{x | –6 x < 6}
Option B
C
{ }
Option C
D
{ [image 1] and [image 2] }
Option D
E
Option
Option E
5

all real numbers✔ the empty setx = 2 or x = 4x = –2 or x = 4

A
all real numbers
B
the empty set
C
x = 2 or x = 4
D
x = –2 or x = 4
7

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

A
–8, –6, –4
B
–10, –6, 0
C
–6, 0, 6
D
–6, 0, 10
9

Choose the graph of y < –x2 + 4x + 5.

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
11

mc001-1.jpg

Question illustration
A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
14

Question text not available

Answer:

Graph the solid, downward-opening parabola y = −x² + 2x, with vertex (1, 1) and roots 0 and 2. Test a point not on the boundary, then shade below the parabola, inside its arms.

15

In your description, did you

A
graph the parabola opening down with the vertex at (1, 1)?
B
factor the quadratic as y –1(x)(x – 2)?
Option B
C
find the roots of the parabola to be 0 and 2?
D
graph the parabola with a solid boundary line?
E
test a point that is not on the boundary?
F
shade inside the parabola?
16

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 =

A
the width of the base
B
the length of the base
C
the area of the base
17

= the length of the prism

A
x – 6
B
x + 6
C
x – 3
18

Select the inequality that represents the problem.

A
x2 – 3 x – 81 0
Option A
B
x2 – 3 x – 27 0
Option B
C
x2 – 12 x – 27 0
Option C
D
x2 – 12 x 0
Option D
21

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?

Question illustration
A
{t | –2 < t < 2}
B
{t | –4 < t < 4}
C
{t | 0 < t < 2}
D
{t | 0 < t < 4}

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Quadratic Inequalities Answers — Algebra III A