ANSWER
The vertical asymptotes are

<u>EXPLANATION</u>
We have

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;


We split the middle term to obtain,




Therefore the vertical asymptotes are

Answer:
B.
Step-by-step explanation:
A goes up by 1
C goes up by 8
D goes up by 5
But B increments by 2x (2 times)
The inequality that correctly represents this scenario is given as follows:

The graph is given at the end of the question.
<h3>What is a system of inequalities?</h3>
A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of chocolate chips purchased.
- Variable y: number of pecans sold.
Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

More can be learned about a system of inequalities at brainly.com/question/3656398
#SPJ1
Answer:
(4x + 7y)(4x - 7y)
Step-by-step explanation:
Rewrite 16 as 4^2
= 4^2x^2 - 49y^2
Rewrite 49 as 7^2
= 4^2x^2 - 7^2y^2
Apply the Exponent Rule Pt 1 ((a^m*b^m =(ab)^m))
= (4x)^2 - 7^2y^2
Apply the Exponent Rule Pt 2
= (4x)^2 - (7y)^2
Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)
= (4x + 7y) (4x - 7y)
Answer:

Step-by-step explanation:
Given

Interval: (-2,4)
Required
Determine the average rate of change
This is calculated using:

Where:

So, we have:



Calculate g(4) and g(-2)


So:



<em>Hence, the average rate of change is 1</em>