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:
OK the 1st answer is data and the 2nd answer is data point I am so sorry if I get it if I got it wrong I am trying my hardest right now I'm only in 8th grade it is so hard for me and I still need help on questions to but you seem like a great person I am sorry if I got it wrong I tried to hurry
The Circles Help Figure Out What Angle The Shape has
Answer: q = -13
Step-by-step explanation:
(q+5)/4 = -2 first you multiply 4 to remove denominators
(q+5) = -8 then subtract 5
q = -13
A flaw is something that makes the person no longer perfect. We all have flaws. A isn't a flaw and neither is B or D. So, your answer is C.