Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
Answer:
Step-by-step explanation:
he has $16.20 because the amount of cans times the amount of monney per pound equils the answer which means he can buy 2 batterys.
Answer:
11.9
Step-by-step explanation:
The tenth place is the first decimal. You round down from 1-4 and up from 5-9, so round up.
11.9
A = {x ≥ 3}, B = {x ≤ 1}
So A∪B = {x ≥ 3 or x ≤ 1}
So for x ⊆(1,3), A∪B = ∅
Apparently, (1,3) covers the first option, a will be the answer
The solution of
is 
<em><u>Solution:</u></em>
Given that we have to find the solution of given expression
Given expression is:

Let us first convert the mixed fraction to improper fraction
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
Therefore,


Now the expression becomes,

Solve and simplify the above expression

In decimal form we get,

Thus the solution to given expression is found