Answer:
(f - g)(3) = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x - 2
g(x) = x + 1
<u>Step 2: Find</u>
<em>Find (f - g)(x)</em>
- Substitute: (f - g)(x) = 4x - 2 - (x + 1)
- Distribute -1: (f - g)(x) = 4x - 2 - x - 1
- Combine like terms: (f - g)(x) = 3x - 3
<em>Find (f - g)(3)</em>
- Substitute: (f - g)(3) = 3(3) - 3
- Multiply: (f - g)(3) = 9 - 3
- Subtract: (f - g)(3) = 6
Answer:
1/2 or 0.5
Step-by-step explanation:
Within 1 to 6,
Even numbers are 2, 4, 6
While odd numbers are 1, 3, 5
Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,
Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards
= 3 / 6
= 1 / 2
V = lwh
48 = 8 x 2 x h = 16h
h = 48/16 = 3
height = 3 inches.
