Answer:
Step-by-step explanation:
Given
Represent number of DVDs with x
(at most)
Required
Represent as an inequality
If
x DVD would cost:
So, to make an order of x DVDs, Deacon will pay for
x DVDs and Handling Fee
So:
Recall that his budget is at most $75
This implies that: 
So, the relationship between his payment and budget is:
Use the definition of absolute value.
The absolute value is always non-negative. So if 
is already non-negative, 
is unchanged. But if is negative, then 
because multiplying by -1 makes it positive.
Now, if 
, then by the definition of absolute value,
Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
Answer: 
Step-by-step explanation:
Given
The diameter of a circle is 
So, the radius is 
The circumference is given by 
Insert the values
Thus, the circumference of the circle is
