Make sure you answer both parts and be detailed in your explanation. a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.

b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.

Adam used 1072.4 gallons of water over the course of 7 days. how much water did adam use, on average, each day?

What is the measure of ba (the minor arc) in the diagram below?

Let x have probability generating function gx (s) and let un generating function u(s) of the sequence uo, u1, satisfies p(x > n). show that the (1- s)u(s) = 1 - gx(s), whenever the series defining these generating functions converge.