Answer:
m = (2 - (-1)) / (0 - (-1)) = 3/1 = 3
y = 3 * (x - 0) + 2
y = 3 * x + 2
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!
A)24 boards/1 * 47.5 inch/boards * 1 ft/12in = 95 ft.
according to dimensional analysis the answer is 95 ft.
b) 95/8 is approximately 12 so 12 boards are needed.
Domain is: -∞, ∞
Range is: 16, -∞
Answer:
23, 25
Step-by-step explanation:
let the first number be represented as A, since there are two odd numbers, the second number would be A + 2
A + A+2 = 48
2A + 2 = 48
2A = 48 - 2
2A = 46 ( divide both sides by 2)
A = 23
since we know the next number to be A + 2
= 23 + 2 = 25
the two numbers are 23 and 25
