Use substitution to write an equivalent quadratic equation
(3x + 2) ^2 + 7(3x+2) - 8= 0

Answer Step-by-step explanation:

Let z = 3x +2. Then the equivalent quadratic equation can be written as

 z² +7z -8 = 0

This can be factored as

 (z -1)(z +8) = 0

which has solutions

 z = {1, -8}.

Then the corresponding values of x are found from

 z = 3x +2

 z -2 = 3x

 (z -2)/3 = x

For z = 1,

 (1 -2)/3 = x = -1/3

For z = -8

 (-8 -2)/3 = x = -10/3

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!