Consider the equation a(3 - x) = -3x + b. What values of a and b make the solution of the equation x = -4?

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.

Write an algebraic expression for the word expression the quotient of c and 8

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?