Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
9:11, 9/11 are the only ones because girls are first
Answer:
d) (-3/2, -1/2)
Step-by-step explanation:
The midpoint (M) between two given points is the average of their coordinate values:
M = (A + B)/2 = ((-8, 1) +(5, -2))/2 = (-3, -1)/2
M = (-3/2, -1/2) . . . . . matches choice D
Answer:
1024
Step-by-step explanation:
1 division: 2
2 divisions: 2×2 = 4
3 divisions: 2×(2×2) = 8
The number of viruses is 2^n, where n is the number of divisions.
After 10 divisions, there are 2^10 = 1024 viruses.
Answer:
divide each side by -5
Step-by-step explanation:
-5m = -40
divide each side by -5
-5m/-5 = -40/-5
m = 5
