What is the least common multiple of x^2-16, x^2+6x+8, and x^2-2x-8 ? pls help ;(

For the equation below, x is the input and y is the output. y = -4x + 3 if the input is -8, then the output is

The ratio of men to women working for a company is 4 to 5 . if there are 90 women working for the company, what is the total number of employees?

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?