1) 2m - 16 = 2m + 4
2m - 2m = 4 + 16
0 = 20 (no solution)
2) -4(r + 2) = 4(2 - 2r)
-(r + 2) = 2 - 2r
-r - 2 = 2 - 2r
-r + 2r = 2 + 2
r = 4
3) 12(5 + 2y) = 4y - (6 - 9y)
60 + 24y = 4y - 6 + 9y
60 + 24y = 13y - 6
24y - 13y = -6 - 60
11y = -66
y = -6
<span>0.4x + 6.1 = 0
0.4x = - 6.1
x = - 6.1 / 0.4
x = - 15.25</span>
Answer:
31
Step-by-step explanation:
Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
<u>Step 2: Find Composite Function</u>
- Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
- Evaluate: (f o h)(x) = 2(12 - 5x) + 8
- Distribute 2: (f o h)(x) = 24 - 10x + 8
- Combine like terms: (f o h)(x) = -10x + 32
And we have our final answer!
