Answer:
Step-by-step explanation:
2081.25 ; 2312.50 ; 2543.75 ; ..... 7500
a= 2081.25
d = 231.25
2081.25 + (n-1) * 231.25 = 7500
(n -1) *231.25 = 7500 - 2081.25
231.25n - 231.25 = 5418.75
231.25n = 5418.75 + 231.25
231.25n = 5650
n = 5650/231.25 = 565000/23125
n = 904/37
n = 24 years 157 days
Area = 7(x + 2) = 7x + 14
Perimeter = 2(7 + x + 2) = 2(9 + x) = 18 + 2x
7x + 14 > 18 + 2x
7x - 2x > 18 - 14
5x > 4
x > 4/5
Answer:
Step-by-step explanation:
prob(grow) = .65
prob(not grow) = .35
prob(1 of 11 will not grow)
= C(11,1)(.35)(.65)^10
= .05183
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
Graph 1: Domain = [-6,6]
Graph 1: Range = {-5,-1,0}
Graph 2: Domain = (-4, infinity)
Graph 2: Range = {-4} or [-2, infinity)
Graph 3: Domain = (-infinity, infinity)
Graph 3: Range = [-5, infinity)
Graph 4: Domain = [-5.5, infinity)
Graph 4: Range = (-infinity, infinity)
