Find each product.

(3x+1)(8x-2)

(5n-5)(4n+8)

(7x-2)(xto the second power- 6x-5)

(5b-2)(3b to rhe second power - b+2)

(5+m)to the second power

(7n+3)(7n-3)

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?

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?

An airplane travels at an unknown elevation before it descends 3 miles to an elevation of 15 miles. find the elevation of the plane before its descen.