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
It has no solutions. Hope it helps
Answer:
Step-by-step explanation:
We need to create an equation to represent how many air fresheners the teacher can buy.
Teacher has $10 and a $3 discount coupon which would give her an extra $3 to spend. Each air freshener is $3.50.
x = number of air fresheners
($10 + $3) / $3.50 = x can be written as $13/$3.50 = x
We add $10 and $3 because that gives us the total amount she has to spend.
We divide by $3.50 because that is the cost of each air freshener. The result is the number of air fresheners she can buy.
In this case.
$13/$3.50 = x
3.71 = x BUT we can't buy part of an air freshener, so she can purchase 3 air fresheners.
