(09.02 HC) The function f(x) = -x2 + 60x – 116 models the monthly profit, in dollars, a
shop makes for repairing windshields, where x is the number of windshields
repaired, and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context
of the problem? (5 points)
Part B: Determine the x-intercepts. What do these values mean in the context
of the problem? (5 points)
(10 points)

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?

Nikolas calculated the volume of the prism. his work is shown below.

Aregular pentagon with a perimeter of 21 inches is dilated by a scale factor of 5/3 to create a new pentagon. what is the perimeter of the new pentagon?