Simplify x^2-9/x^2-3x
1 answer:
You might be interested in
Answer:
You sold 20 student tickets.
Step-by-step explanation:
Given that:
Total tickets sold = 27
Total amount collected = $170
Cost of student ticket = $5
Cost of adult ticket = $10
Let,
x be the number of students tickets sold
y be the number of adult tickets sold
x+y = 27 Eqn 1
5x+10y=170 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=27)
10x+10y=270 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(5x+10y)=270-170
10x+10y-5x-10y=100
5x=100
Dividing both sides by 5
Hence,
You sold 20 student tickets.
Answer:
The general limit exists at <em>x</em> = 9 and is equal to 300.
Step-by-step explanation:
We want to find the general limit of the function:
By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.
So, let's find each one-sided limit: the left-hand side and the right-hand side.
The left-hand limit is given by:
<h3>Since the given function is a polynomial, we can use direct substitution. This yields:
Evaluate:
Therefore:
The right-hand limit is given by:
Again, since the function is a polynomial, we can use direct substitution. This yields:
Evaluate:
Therefore:
Thus, we can see that:
Since the two-sided limits exist and are equivalent, the general limit of the function does exist at <em>x</em> = 9 and is equal to 300.