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:
9.8x + 1.1y + 9.9z
Step-by-step explanation:


⇒ 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y
⇒ 9.8x + 1.1y + 9.9z
2 meters are 200 centimeters
you will need to know how many friends she has...
but, supposing she has 4 friends, each friend would get 50 centimeters...
i'm not really sure how to write that in a mixed number, but I hope this helps!!
Answer:
A
Step-by-step explanation:
Vertex appear to be at (5,115)
A) h = -b/2a
= -(20)/2(-2) = 5
k = -2(5²) + 20(5) + 60 = 110