Given:
If you divide any natural number n by 4, you get a remainder r.
To find:
The values of r if 
. Also find the domain and range.
Solution:
It is given that any natural number n by 4, you get a remainder r.
Where, n is a natural number, q is quotient, r is the remainder.
For 
,
So, 
.
For 
,
So, 
.
For 
,
So, 
.
For 
,
So, 
.
Therefore, the required value are 
if respectively.
The domain of the function is 
and the range of the function is 
.
Got it. Hope this will help.
Answer: 60
Step-by-step explanation:
From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .
We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.
Multiples of 10 = 10, 20, 30, 40, 50, 60,
Multiples of 12 = 12, 24, 36, 48, 60, 72
Therefore, the packages of pencils and erasers that Phillip should buy will be 60
