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11 votes
11 votes
H(x)
=
x² + 3x
4x + 27
Find h(-8)

H(x) = x² + 3x 4x + 27 Find h(-8)-example-1
User Rachit
by
2.5k points

2 Answers

24 votes
24 votes
I believe it is h= -11/5. I thought it was saying that x is -8, so that is what I have solved for. If x does not equal -8, then this answer will be incorrect.

Step-by-step explanation:

Equation:
h(-8) = (-8^2) + 3(-8) / 4(-8) + 27

1) Remove parenthesis:
h • -8 = -8^2 + 3 • -8 / 4 • -8 +27

2) Simplify 8^2 to 64:
h • -8 = -64 + 3 • -8 / 4 • -8 + 27

3) Simplify 3 • -8 to -24:
h • -8 = -64 -24 / 4 • -8 + 27

4) Simplify -64 - 24 to -88:
h • -8 = -88 / 4 • -8 + 27

5) Simplify 4 • -8 to -32:
h • -8 = -88 / -32 + 27

6) Simplify -32 + 27 to -5:
h • -8 = -88 / -5

7) Regroup terms:
-8h = -88/-5

8) The two negatives make it positive and divide both sides by -8:
-8h = 88/5
h = -88/5 / 8

9) Simplify 88/5 /8 to 88 / 5 • 8:
h = -88 / 5 • 8

10) Simplify 5 • 8 to 40:
h = -88/40

11) Simplify - 88/40 to - 11/5:
h = - 11 / 5
*This fraction is in simplest form

Answer: h = - 11/5
User Izzi
by
3.0k points
18 votes
18 votes

Step-by-step explanation:

it is -8 because negative times negative is positive

  1. (-8)
H(x) = x² + 3x 4x + 27 Find h(-8)-example-1
User Danatron
by
2.7k points