Answer:
- (a-2)(3a-5)
- (b-3)(5b-17)
Step-by-step explanation:
Recognize that b-a = -(a-b). (Reversing the order of a difference changes its sign.)
1. 3(a-2)² -(2-a) = 3(a-2)² +(a-2) = (a-2)(3(a-2) +1)
... = (a -2)(3a -5)
2. 2(3-b) +5(b-3)² = (b -3)(-2 +5(b -3))
... = (b -3)(5b -17)
They sold 400 tickets at the door ($11.50) and 250 tickets were pre-purchased ($8.50).
Multiply through the parenthesis:
6x - 3 = -51
Combine like terms:
6x = -48
Divide by 6 on both sides:
x = -8
<h3>
Answer: Choice A) y = 2</h3>
How I got that answer:
The degrees of both the numerator and denominator polynomial are both 2
Degree of 10x^2 is 2
Degree of 5x^2+1 is 2
Because the degrees are equal, this means we divide the leading coefficients 10 and 5 to get 10/5 = 2.
As x gets really really large, in either positive or negative direction, then y is slowly going to approach y = 2.
A graph helps confirm this. See below. I used GeoGebra to make the graph.
It looks like it actually gets to y = 2, but in reality its just getting really really close that it gives that illusion.
Answer:
3/5pi
Step-by-step explanation:
The formula of getting the arc length is
arc length = angle * pi / 180 * r
arc length = 60 * pi / 180 * 5
arc length = 300 * pi / 180
arc length = 5pi / 3