Amountain bike is priced at 413 if the sales tax is 6.5 percent what is the cost to purchase the mountain bike round to the nearest cent if necessary

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?

Tom travels between the two mile markers shown and then finds his average speed in miles per hour. select the three equations that represent this situation.

For the feasibility region shown below find the maximum value of the function p=3x+2y