Nagayama writes one check for $459 to buy a lawnmower and another check for $32 to buy a hedge trimmer. The previous balance in Nagayama's check register is $1,056.24. What is her new balance?

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 you me find the slope! (30 points)

In which direction does the left side of the graph of this function point? a(x) = 3x - x2 + 4x - 2