Answer:
17
Step-by-step explanation:
b(1) = 16
b(2) = b(2-1) +1
= b(1) +1
= 16+1
= 17
Answer:
3V
r = ∛ ( ---------- )
4π
Step-by-step explanation:
Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction. Also note that this formula MUST include "pi," symbolized by π.
V = (4/3) π r³ This formula does NOT include "m," which is a unit of measurement, not a variable.
Our task is to solve this formula for the radius, r.
Divide both sides by (4/3) π, to isolate r³. This results in:
v (4/3) π r³
------------- = -----------------
(4/3) π (4/3) π
V 3V
Then r³ = -------------- = --------
(4/3) π 4π
and r is found by taking the cube root of the above result:
3V
r = ∛ ( ---------- )
4π
Answer:
Step-by-step explanation:
length times width = area
so you have 8.5w=93.5
divide 8.5 on both sides to get your answer
w= 11
so your width must be 11 inches
Answer:
The inverse function is g(x) = ± 
, x ≥ -12 ⇒ D
Step-by-step explanation:
* Lets explain how to find the inverse function
- The steps of find the inverse of function f(x)
# Write y = f(x)
# Switch x and y
# Solve to find the new y
* Lets solve the problem
∵ f(x) = 9x² - 12
- Do the steps above
- Put y = f(x)
∵ y = f(x)
∴ y = 9x² - 12
- Switch x and y
∴ x = 9y² - 12
- Add both sides by 12
∴ x + 12 = 9y²
- take √ for both side don't forget to put ± in-front of it
∴ ± 
= 3y
- Divide both sides by 3
∴ y = ±
∵ There is no square root for negative number
∴ x + 12 ≥ 0 ⇒ subtract 12 from both sides
∴ x ≥ -12
- The function is defined for all values of x greater than or equal -12
∴ The inverse function is g(x) = ± , x ≥ -12
