Manish writes the functions g(x) = RootIndex 3 StartRoot negative x EndRoot – 72 and h(x) = –(x + 72)3. Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?

Miguel bought a movie ticket that cost $5. he also bought popcorn and a bottle of water. how much did miguel spend altogether?

Find the midpoint m of z1=(8+5i) and z2=(12+3i)

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?