Find he change in the volume of a cube when the edge lengths all change by an amount dx

The table shows the cost of several bunches of bananas. what equation can be used to represent the cost c of a bunch that weights p pounds?

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

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?