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>
</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.
Answer:
Step-by-step explanation:
Given
<em>-- Corrected</em>
Required
Use the GCF to write it as a distributive property
First, we find the GCF of 75 and 45
The common factor is:
So, becomes
Factorize
<em>Hence, the sum has been rewritten as </em><em></em>
Answer:
The slope of line is -2
Step-by-step explanation:
Answer: Use the formula.
Step-by-step explanation: The circumference of a circle is found with the formula C= π*d = 2*π*r. Thus pi equals a circle's circumference divided by its diameter. Plug your numbers into a calculator: the result should be roughly 3.14.