A hairstylist charges 15$ for an adult haircut and 9$ for a child haircut. she wants to earn at least $360 and cut maximum of 39 haircuts this week. the graph represents the hair stylist constraints. List two points that could represents the numbers of adult and child haircuts that meet the hairstylist goals​

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?