Answer:

Step-by-step explanation:
Using:

we will have two solutions.
x^2-3x+1=0
So, a=1 b=-3 c=1

We have two solutions:

No 45 is a multiple for 5
Answer:
64 ivy stems
Step-by-step explanation:
To solve this problem we can use rule of three:
Firstly we had 72 ivy stems to use in 18 centerpieces, and know we have 16 centerpieces and want to know how many ivy stems we need to use, so:
18 centerpieces -> 72 ivy stems
16 centerpieces -> X ivy stems
18/16 = 72/X
X = 16*72/18 = 64
He needs to use now 64 ivy stems to maintain the ratio.
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