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:
Hence the answer is given as follows,
Step-by-step explanation:
Graph of y = f(x) given,
(a) 
(b) 
(c) 
(d) 
(e) 
(f)
{ Hole in graph}
Hence solved.
Answer:
£5
Step-by-step explanation:
5 boxes will cose 5 x 15.40 = 77 normally.
according to the table, he will get 6.5% discount.
6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5

=

, and when you multiply it by 5 it turns into

, which is

So in conclusion he watched 9 & 10 minutes watching the movie
depending on how many green and purple there are, lets say 4, and there are 10 other colors, it would be 4/10 so its 40%