13. what are the solutions of the inequality? check the solutions. 12 + 10w > (line under > ) 8(w + 12) a. w > (line under > ) -42 b. w > (line under > ) 48 c. w > (line under > ) 42 d. w > (line under > ) 54 14. which compound inequality and graph represent the following phrase? 14-15. images.

13. You can plug in each number (-42, 48, 42, and 54) for "w" in the inequality. This is because you want to know if "w" equals -42, 48, 42, and 54.

12 + 10(-42) ≥ 8((-42) + 12)

12 - 420 ≥ 8(30)

-408 ≥ 240

A is not a solution because -420 is not greater than or equal to 240.

12 + 10(48) ≥ 8(48 + 12)

12 + 480 ≥ 8(60)

492 ≥ 480

B is a solution because 492 is greater than 480.

12 + 10(42) ≥ 8(42 + 12)

12 + 420 ≥ 8(54)

432 ≥ 432

C is a solution because 432 is equal to 432

12 + 10(54) ≥ 8(54 + 12)

12 + 540 ≥ 8(66)

552 ≥ 528

D is a solution because 552 is greater than 528

Your solutions are B, C, D

14. all real numbers are greater than -4 and less than 4

-4 < x < 4

The first line graph is your answer. This is because the phrase does not say "or equal to", so you don't need the line underneath. When the sign is ≤ or ≥ ("less/greater than or equal to"), the dot is filled in. When the sign is < or >, the dot is not filled in/open circle.

15. all real numbers that are less than -4 or greater than 12

y < -4 or y > 12

[y is less than -4, or y is greater than 12]

The first line graph is your answer

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.