Answer:
Step-by-step explanation:
x/24 = 30/36 simplify
x/24 = 5/6 divide 24 by 6 is 4; multiply 4 by 5
x= 20
By Pythagorean theorem
x²+GF²=EF² ( where G is the point of intersection of perpendicular lines)
now, GF=1/2 EF= 12
x²+12²=24²
x²=24²-12²
x²=432
x=√432
x=12√3
x≈20.78
Answer
10.5
Step-by-step explanation:
Answer:
f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
- Expand by FOIL (First Outside Inside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = x² + 3x³
f(x + h) is x = x + h
<u>Step 2: Simplify</u>
- Substitute: f(x + h) = (x + h)² + 3(x + h)³
- Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³
- Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
- Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
- Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
- Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
- Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
Answer: Company B (1.80)
Step-by-step explanation:
1.04= 4% Increase
1.80= 80% Increase
