Abedroom set lists for $12,000 and carries a trade discount of 30 percent. freight (fob shipping point) of $150 is not part of list price. calculate the delivered price of the bedroom set including the freight. assume a cash discount of 2 percent:

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line

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?

Can someone factor this fully? my friend and i have two different answers and i would like to know if either of them is right. you in advance. a^2 - b^2 + 25 + 10a