Which statement could be used to explain why the function h(x) = xhas an inverse relation that is also a function? The graph of h(x) passes the vertical line test.
The graph of the inverse of h(x) is a vertical line.
O The graph of the inverse of h(x) passes the horizontal line test.
O The graph of h(x) passes the horizontal line test.

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?

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

If a and −a are numbers on the number line, which expression must give the distance between them? a) 0 b) a c) |2a| d) |a|