Step-by-step explanation:
Given that the mean of the numbers is 12

so here
let's that one as x and another one as 2x since it is given that one is twice the other
Therefore we get

Given mean = 12




Hence it's 11 and 22
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
1. By definition, the "Product" is the result of a multiplication.
2. The "Difference" is defined as the result of a subtraction.
3. The Distributive property states that:

Keeping the above on mind, you know that:
"The difference of
and
" can be represented with the following expression:

Therefore, "The product of -13 and the difference of
and
" can be represented with this expression:

Finally, you must apply the Distributive property in order to simplify the expression. You get:

Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)