Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find f(g(1)).
So, let's find g(1) first:
Substitute 1 for x:
Simplify:
Add:
So:
Now, substitute 2 for x in f(x):
Multiply:
Add:
So:
Answer:
48
Step-by-step explanation:
Answer:
n < 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2(n + 3) - 4 < 6
<u>Step 2: Solve for </u><em><u>n</u></em>
- [Addition Property of Equality] Add 4 on both sides: 2(n + 3) < 10
- [Division Property of Equality] Divide 2 on both sides: n + 3 < 5
- [Subtraction Property of Equality] Subtract 3 on both sides: n < 2
Here we see that any value <em>n</em> smaller than 2 would work as a solution to the inequality.
Answer:
Point Form:
(9,12)
Equation Form:
x = 9
y = 12
Step-by-step explanation:
Answer:
1056.25 pi
Step-by-step explanation:
f the circumference of the circle is 65\pi, then the diameter is 65. If the diameter is 65, the radius is \frac{1}{2} * 65, and then you would do 32.5^2 * \pi, which would equal