Acertain number is increased by 5 the result is 8 more than half the number what is the number

Reflect the point (7,0) across the y-axis

1- 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.2- 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 the first question?

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -f(x)+4