Which of the following expressions could be used to represent "three less than half a number"?

a. 3 - 1/2n
b. 1/2n - 3
c. 3n - 1/2
d. 1/2 - 3n

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

What is the distance between the points 4,10 and -3,-14 on the coordinate plane

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?