Answer:
a. 
b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)
Step-by-step explanation:
Factor the numerator (Grouping):
Two numbers that multiply to -30 and add to -7 = -3 and 10
![[2x^2 - 10x] + [3x - 15]](https://tex.z-dn.net/?f=%5B2x%5E2%20-%2010x%5D%20%2B%20%5B3x%20-%2015%5D)

Factor the denominator (Difference of Two Squares):
= 
Factored Expression:
(x - 5) can be factored out of top and bottom as a hole-

Variable Restrictions:
Denominator ≠ 0

Vertical asymptote at x = -5 ⇒ x ≠ -5
Okay so, we switch out f(x) with y - I’m sure you know this and we get y=2+3x/x-2.
Now just interchange x and y -> x=2+3y/y-2, now multiply both sides with (y-2), we get (y-2)x=2+3y.
Multiply x with the brackets, getting xy-2x=2+3y. Move 3y to the left changing it’s sign, also for -2x to the right: xy-3y=2+2x.
Factor out y from (xy-3y) and get (3-x)y=2+2x - now divide both sides by (3-x) resulting in y=2+2x/3-x .
Answer: Length = 70 feet
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
Solve:
<u>Given information</u>
l = l
w = 51 feet
P = 242 feet
<u>Given expression</u>
P = 2 (l + w)
<u>Substitute values into the expression</u>
242 = 2 (l + 51)
<u>Divide 2 on both sides</u>
242 / 2 = 2 (l + 51) / 2
121 = l + 51
<u>Subtract 51 on both sides</u>
121 - 51 = l + 51 - 51

Hope this helps!! :)
Please let me know if you have any questions
The answer is A- between 8 m& 12m