Answer:
Step-by-step explanation:
we know that
The graph of g(x) is a translation of the function f(x)
so

the vertex of f(x) is the point 
the vertex of g(x) is located
units above and
units to the right of the vertex of f(x)
The rule of the translation is

<u>Find the vertex of the function g(x)</u>

the vertex of g(x) is the point 
the equation of the function g(x) in the vertex form is equal to

where
(h,k) is the vertex
substitute the value of the vertex in the equation

<u>the answer is</u>

Answer:
2500
Step-by-step explanation:
Let the first square number be
then the next square number is
.
The difference between these two consecutive numbers is 99.
This implies that:

We expand to get:

Simplify:


Divide both sides by 2

Therefore the value of the larger perfect number is
.
Answer:
A 99% confidence interval will be wider than a 95% confidence interval
Step-by-step explanation:
From the question we are told that
The 95% confidence interval for for the mean foot length for students at the college is found to be 21.709 to 25.091 cm
Generally the width of a confidence interval is dependent on the margin of error.
Generally the margin of error is mathematically represented as
From the above equation we see that
Here
is the critical value of the half of the level of significance and this value increase as the confidence level increase
Now if a 99% confidence level is used , it then means that the value of
will increase, this in turn will increase the margin of error and in turn this will increase the width of the confidence interval
Hence a 99% confidence interval will be wider than a 95% confidence interval