Answer:
Step-by-step explanation:
From the initial condition,
So we have that 
Answer:
H
Step-by-step explanation:
use slope of -2/3 and point (-4.5, 10) as input into the slope-intercept form of a line, which is y = mx + b
10 = -2/3(-9/2) + b
10 = 3 + b
7 = b
y = -2/3x + 7
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:
1.626 and then theres a lot more numbers
Step-by-step explanation:
Answer:
g(n) = 2n + 49
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
g(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given the recursive formula
g(n) = g(n - 1) + 2 ← with d = 2 and a₁ = 51, then
g(n) = 51 + 2(n - 1) = 51 + 2n - 2 = 2n + 49 ← explicit formula
