The sum of two numbers is 105. if the larger number is increased by twice the smaller number, the result is 138. what is the larger number? if x is the smaller number and y is the larger number, which of the following system of equations represents the word problem?

x+y=105

x+2y=138

x-y=105

y+2x=138

x+y=105

y+2x=138

Which of the following could be the graph of the equation y = -2x + 5

Rewrite the polynomial -9x5 + 36x4 + 189x3 in factored form.

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.