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:
176
Step-by-step explanation:
88% = 88/100
88 × 2 = 176
176/200
Answer: 162.00 or 40.50 or 202.50
Step-by-step explanation:
$6.75 times 30 = 202.50
202.50 times 0.2 = 40.50
202.50 minus 40.50 = 162.00
Answer:
40%
Step-by-step explanation:
In order to find percent, you can set up the fraction 2/5 to the equation x/100.
Then solve using algebra to cross-multiply.
so the answer is 40%.
Answer:
=
$
518.01
Explanation:
compound interest formula $A = P*(1+R)^n#
P
=
$
400
,
r
=
.09
,
n
=
3
Substituting the values, we get A =
400
⋅
(
1.09
)
3
=
$
518.01
From my alt account from, https://socratic.org/questions/how-much-would-400-invested-at-9-interest-compounded-continuously-be-worth-after
