Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)
Answer:
The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
Out of 100 people sampled, 42 had kids.
This means that
99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).
Answer:
7.5
Step-by-step explanation:
1 foot is 12 inches so I just divided.
Answer:
Option B,C and E are solution to given inequality 
Step-by-step explanation:
We need to check which ordered pairs from given options satisfy the inequality 
Ordered pairs are solutions to inequality if they satisfy the inequality
Checking each options by pitting values of x and y in given inequality
A ) (1, -5)

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
B) (-3, - 2)

So, this ordered pair is solution of inequality as it satisfies the inequality.
C) (0, -9)

So, this ordered pair is solution of inequality as it satisfies the inequality.
D) (2, -1)

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
E) (5, 4)

So, this ordered pair is solution of inequality as it satisfies the inequality.
So, Option B,C and E are solution to given inequality 