1) Find the equation in standard form of a parabola whose focus is at (-3,-2) and whose directrix is x = 1.

What value of x is in the solution set of –5x – 15 > 10 + 20x?

2y= 3 2 x−2 y = − 1 3 x + 1 y=− 3 1 x+1

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?