AnswersFL-1200330-Algebra 2 Sem 1 - FlexSolving Quadratic Equations by Factoring

Quadratic Inequalities Answers

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1
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Determine the solution for.

Question illustration
A
[–7, 4]
Option A
B
[–4, 7]
Option B
C
or
Option C
D
or
Option D
2
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x – 6x + 6✔ x – 3 = the length of the prism

A
x – 6
B
x + 6
C
✔ x – 3
3

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

{x | x = 6} {x | –6 x < 6}{ }{ and }

A
{x | x = 6}
Option A
B
{x | –6 x < 6}
Option B
C
{ }
Option C
D
{ and }
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
6

–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
7

Choose the graph of y < –x2 + 4x + 5.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Question text not available

Answer:

Graph the parabola y = −x² + 2x opening downward with vertex (1, 1). Factor it as y = −x(x − 2) to find roots 0 and 2. Draw a solid parabola because the inequality includes equality, test a point not on the boundary, and shade the region below or inside the parabola.

10

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?
11

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

A
✔ the width of the base
B
the length of the base
C
the area of the base
12

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
13

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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