Answer:


<em>f(x) and g(x) and not inverse functions</em>
Step-by-step explanation:
Given


Required
Determine f(g(x))
Determine g(f(x))
Determine if both functions are inverse:
Calculating f(g(x))



Expand Brackets




Calculating g(f(x))




Expand Brackets



Checking for inverse functions

Represent f(x) with y

Swap positions of x and y

Subtract 9 from both sides



Divide through by 3


Take square root of both sides


Represent y with g(x)

Note that the resulting value of g(x) is not the same as 
<em>Hence, f(x) and g(x) and not inverse functions</em>
Answer: Gus skydived 32 times
Step-by-step explanation:
G = number of times that Gus skydives
N = number of times that Nico skydives
E= number of times that Emma skydives
Gus skydives 4 times as much as Nick
This means G = 4N
Emma skydives 2 times as much as Nick.
This means E= 2N
If Emma has skydived 16 times,
That means E = 16
Put E = 16 in E= 2N,
16 =2N
N= 16/2 = 8
Put N= 8 in G = 4N
G =4×8 = 32
Gus skydived 32 times
Check
Nick skydived 8 times
Emma skydived 16 times
Answer:
c) 44000 miles
Step-by-step explanation:
The regression line has the following format:

In which b is the slope(how much each mile costs) and a is the fixed number of miles flown.
In this problem, we have that:
. So

A person who spent $ 2000 is predicted to have flown:
This is y when x = 2000.


So the correct answer is:
c) 44000 miles
Answer:
1 cup = 48 teaspoons
C = 48t
Step-by-step explanation:
Given:
1 tablespoon = 3 teaspoons
1 cup = 16 tablespoon
Write an equation that represents the number of teaspoons, t, contained in a cup, C.
Since
1 tablespoon = 3 teaspoons
And
1 cup = 16 tablespoon
Then
1 cup = 3 teaspoons × 16
1 cup = 48 teaspoons
Let
cup = C
Teaspoons = t
Therefore,
C = 48t
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you