Answer:
f(x) + 3g(x) = 14x + 15
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>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x
g(x) = 4x + 5
<u>Step 2: Find</u>
- Substitute in functions: 2x + 3(4x + 5)
- [Distributive Property] Distribute 3: 2x + 12x + 15
- Combine like terms: 14x + 15
Answer:
Table I fill-in: 1.404
Table II fill-in: 1.661 (instead of the 2 that's there)
Step-by-step explanation:
The functions shown in Table I and II are inverses of each other. This means that the x's for Table I are the y's in Table II. And the y's in Table I are the x's in Table II.
So look at Table II, there is a coordinate pair
(7, 1.404). Switch the x and y and you get (1.404,7) That's your answer to fill in on Table I.
3x+10y=48
7x+4y=54
multiply the first equation by 2 and the 2nd equation by 5 to remove y
6x+20y=96
35x+20y=270
29x=174
x=6
substitute to any equation
7x+4y=54
42+4y=54
4y=12
y=3
the value of x is 6 and the value of y is 3
