C. they are worth the same amount of money, 1/2 and 2/4 are both 50% or 50 cents
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
1: (pi)5^2 = 78.54 then multiply that by 11 and you get 863.94
2: (pi)13^2= 530.93 then multiply that by 8 and you get 47247.44
3. (pi)18^2= 1017.88 then multiply that by 22 and you get 22393.36
Answer:
option B
Step-by-step explanation:
9/10 + 6/5 + 3/2...........
We find the difference between the terms
We will get the same difference when we subtract consecutive terms.
so , d= 3/10, a= 9/10
we find the formula for nth term
a_n = a+(n-1) d
we need to find eighth partial sum so we take n=1 to 8
sum of 8 terms (
)
So option B is correct
The total numbers with 10 digits are 9*10*10*10*10*10*10*10*10*10 = 9*(10^9)
If you are restricted to use no 1s, the numbers are 8*(9^9)
Then, the probability is : numbers with no 1s / total numbers
= 8*(9^9) / [9*(10^9)]= 0.344
