Answer:
The solution set can be given as:
Step-by-step explanation:
Given function:
To find the domain of the function in set notation.
Solution:
For the function 
to exist the denominator must be ≠ 0
We have the denominator 
which cannot be = 0.
Thus, we can find the domain of the function using the above relation.
The function will not exist when:
Solving for 
Subtracting both sides by 6.
Dividing both sides by 2.
∴ 
Thus, the function will not exist at . This means it has all real number solutions except -3.
The solution set can be given as:
Answer:
Step-by-step explanation:
Since perimeter, 
and we know that P=2(l+w) then 
The length will be 
Now 
<h2>
Answer:37 paintings of $50 and 15 paintings of $75</h2>
Step-by-step explanation:
Let be the number of paintings Ella sells for $
.
Let 
be the number of paintings Ella sells for $
.
Profit made through $ paintings is 
Profit made through $ paintings is 
So,total profit is given by 
It is given that total profit is $
So,
..(i)
Given that the total number of prints is 
So,
..(ii)
using (i) and (ii),
The numbers get smaller in division and larger in multiplying
