Suppose r(x) and t(x) are two functions with the same domain, and let h(x) = r(x) + t(x). Suppose also that each of the 3 functions r, t, and h, has a maximum value in this domain (i. e. a value that is greater than or equal to all the other values of the function).
Let M = the maximum value of r(x),
N = the maximum value of t(x), and
P = the maximum value of h(x).
How might the following always be true that M+N=P?
Prove the relationship to be true or state what relationship does exist between the numbers M+N and P.

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Kendra had twice as much money as kareem. kendra later spent $8 and kareem earned $6. by then,the two had the same amount of money. how much money did each have originally?

The acceleration of an object due to gravity is 32 feet per second squared.what is acceleration due to gravity in inches per second squared?