For n ? n, suppose that a ? n2n and |a| = n+1. prove that a contains a pair of distinct integers a, b such that a divides b.

The ratio of two numbers is 5 to 4. the sum of the numbers is 99. what number is the greater of the two numbers?

How many square feet of out door carpet will we need for this hole? 8ft 3ft 12ft 4ft

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)