Part A:
Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.
Let the length of the other side be x, then

Thus, if the length of one of the side is x, the length of the other side is 8 - L.
Hence, the area of the rectangle in terms of L is given by

Part B:
To find the domain of A
Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.
Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.
Hence the domain of the area are the set of values between 0 and 8 not inclusive.
Therefore,
Answer:
The Answer is 5/9 in the simplest form.
Given:
Total Yogurt =
cups
Yogurt required for each smoothie =
cup
To find:
The number of smoothies that Paisley can make with the yogurt.
Solution:
We know that,

Substituting the given values, we get






Therefore, the number of smoothies is 12.
We know:

and

These expressions have an
term in common. We can combine them if we can find forms of the expressions in terms of
:


Now, because
(by the reflexive property), we can write:

This is our answer, A.
Answer:
211
Step-by-step explanation:
As the statement indicates that on each of the 22 work days of the month the employees of the company received a communication and 4642 communications were sent, to be able to determine the number of employees that the company have, you have to divide the number of communications by the number of days:
4642/22= 211
The company has 211 employees.