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:
57.1mm^2
Step-by-step explanation:
4*4=16
16/2=8mm^2 cross section
(4*3) + (4*3) + (5.7*3) = 41.1mm
8*2=16
41.1+16=57.1mm^2
Well 16/4 is 4 because 4 goes into 16 evenly. It wouldn’t become a mixed number because you have no other fraction, unless you are required to put 1/1 or something
16, 8 times 14 = 112 divided by 7= 16
Answer:
5
Step-by-step explanation:
We know that Karen divided her garden into equal parts of which she intend to plant corn in ⁸/20 of it.
This implies that she divide the garden was divided into 20 parts.
To determine the fewer number of parts she can divide her garden into, simply ⁸/20.
Thus:
8/20 = (2*4)/(5*4)
= ²/5 (4 cancels out 4)
Therefore, this implies that the least number of parts she can divide her garden into is 5.
