First, convert 4 feet into inches - 48 inches. Then, divide 48 by 14 to get 3.43, so he can have 3 14-inch long pieces. To get the left over out of a foot, take 14 x 3 to get 42, then subtract 42 from your original 48 inches to get 6 inches left, which is half of a foot.
Answer:
1) f(g(0)) = 0
2) g(f(2)) = 2
3) g(g(0)) = 8
Step-by-step explanation:
Here, the given functions are:
g(x) = 3 x +2 and f(x)= (x-2)/3
1. Now, f(g(x)) = f(3x+2)
Also, f(3x+2) = (3x+2 -2) /3 = x
So, f(g(x)) = x
⇒ f(g(0)) = 0
2. g(f(x)) = g((x-2)/3) = 3((x-2)/3) +2
or, g(f(x)) = x
⇒ g(f(2)) = 3((2)-2/3) +2 = 2
or, g(f(2)) = 2
3. g(g(0)= g( 3 (0) +2) = g(2)
Now, g(2) = 3(2) + 2 = 6 + 2 = 8
or, g(g(0)) = 8
F(11) means to replace x in the equation with 11
12(11) + 5
12 x 11 = 132
Now you have 132 + 5 = 137
F(11) = 137
5 can stay as is, but 5503 can be rounded to 5500 so 5500x5=27500
Answer:
-15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
(4x + 2)(x - 5) / 2
x = 2
<u>Step 2: Evaluate</u>
- Substitute: (4 · 2 + 2)(2 - 5) / 2
- Parenthesis - Multiply: (8 + 2)(2 - 5) / 2
- Parenthesis - Add: 10(2 - 5) / 2
- Parenthesis - Subtract: 10(-3) / 2
- Multiply: -30 / 2
- Divide: -15
