A basketball player makes a long pass to another player. The path of the ball can be modelled by, y = -0.2x2 + 2.4x + 2 where x is the horizontal distance from the player and y is the height of the ball
above the court, both in metres. Determine the maximum height of the ball and time which it occurs.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?