The first few steps in solving the quadratic equation 9x2 +
49x = 22 - 5x by completing the square are shown.
9x2 + 49x = 22 - 5x
9x2 + 54x = 22
9(x2 + 6x) = 22

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?

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

Which strategy is used by public health to reduce the incidence of food poisoning?