If f(z)=m^z - n^z <span>and f(1)=2, f(2)=8
then
m - n = 2 so m = n + 2
m^2 - n^2 = 8
substitute </span>m = n + 2 into m^2 - n^2 = 8
so
m^2 - n^2 = 8
(n + 2)^2 - n^2 = 8
n^2 + 4n + 4 - n^2 = 8
4n = 4
n = 1
m = n + 2 = 1 + 2 = 3
so f(z) = 3^z - 1^z
if z = 1 the f(1) = 3^1 - 1^1 = 2
if z = 2 the f(2) = 3^2 - 1^2 = 9 - 1 = 8
if z = 3 the f(3) = 3^3 - 1^2 = 27 - 1 = 26
answer
f(3) = 26
Answer: 44
Explanation: it is divisible by two but does not end with two
Answer:
Step-by-step explanation:
<u>Given function:</u>
The graph of it should contain the point (3/2, 27)
<u>Substitute the values and verify answer choices:</u>
A) b= 3/2
- 27 = (3/2)^(3/2), False as the right side is irrational
B) b= 27
-
27 = 27^(3/2), False as 27^1 ≠ 27^(3/2), because 1 ≠ 3/2
C) b= x/y
- 27 = (x/y)^(3/2), False as is doesn't make sense
D) b= 9
- 27 = 9^(3/2)
- 27 = (3^2)^(3/2)
- 27 = 3^(2*3/2)
- 27 = 3^3
- 27 = 27
Answer:
angle of 90 degrees
Step-by-step explanation:
if the length satisfy the pythagorean theorem (a2+b2=c2) then it is a right traingle
V...volume
B...Base
h...height
V=1/3 × B × h
V=1/3 ×r^2×pi × h
V=1/3 ×12^2×pi × 8
V= 1/3 ×144×pi ×8
V=1/3 × 1152pi
V=384pi cm^3