42 balls / 3 balls per package
Equals 14 packages
We are given
Vertical asymptotes:
Firstly, we will factor numerator and denominator
we get

We can see that (x-3) is common in both numerator and denominator
so, we will only set x+3 to 0
and then we can find vertical asymptote


Hole:
We can see that (x-3) is common in both numerator and denominator
so, hole will be at x-3=0

Horizontal asymptote:
We can see that degree of numerator is 2
degree of denominator is also 2
for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator
and we get
y=1
now, we can draw graph
Graph:
Diana's age=21 years
Carmen's age=x years
Andrew's age=2x years
21+x+2x=45
21+3x=45
3x=45-21
3x=24
x=24/3
x=8
2x8=16
Carmen is 8 years old and Andrew is 16 years old. Hoped that helps:)