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
((2t+10) / 2) + ((3t-15) / 2) + (3s) = 180
((2t+10) / 2) + ((3t-15) / 2) + (4r) = 180
((2t+10) / 2) + ((3t-15) / 2) + (3s) = ((2t+10) / 2) + ((3t-15) / 2) + (4r)
(2t+10) = (3t-15) t=25
2*25+10= 60 , 3*25-15=60
60+60= 120 , This rectangle has a total of 360 degrees
360 - 120 = 240
240/2 =120
120/ 4 = 30 , 120/3 = 40
r=30 s=40
2 2/3 + 2 3/4 is equal to 5 5/12 so the drapes will be 5 5/12 feet long (or 5 feet 5 inches)
Step-by-step explanation:
5. 102 = 6( 1 + 4p)
102 = 6 + 24p
102 - 6 = 24p
96 = 24p
96/ 24 = p
4 = p
