James has 32$ and is going to buy song that cost 4$ each. write an expression that shows the amount of money he will have left after buying a certain amount of songs

How do you use the additive inverse to evaluate an expression that uses subtraction in a full sentence

Graph the system: f(x)= 3/x-2; f(x)= 1/2x + 2

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?