Answer:
y = 6x + 7.
Step-by-step explanation:
Using the point-slope form of a line
y - y1 = m(x - x1)
m = 6, x1 = 6 and y1 = 43:
y - 43 = 6(x - 6)
y - 43 = 6x - 36
y = 6x - 36 + 43
y = 6x + 7.
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:
x + 3
Step-by-step explanation:
45/75 = 30/x
30*75 = 2250/45 = 50
EF = 50 in.
Blue balls : Total number.
Total number of balls = 50 + 45 + 65 = 160
Blue balls : Total number.
= 65: 160 Divide both by 5.
= 13 : 32
= 13/32. That is the ratio.