It is clear that a large survey is an appropriate method for a study of marriage patterns among college students. What will the researcher need to do to insure that the research sample is random?

Here the sample is the college students, and the researcher want's to do a survey to obtain information about marriage patterns.

Then, the ideal sample will be constituted of students of both genders, of different ideologies, of different social classes, of different religions, etc.

Then the thing that the researcher needs to do is:  

Define the size of the sample

Assign to each student a unique number.

using a random number generator,  generate enough different numbers to fill the sample.

Each of these numbers corresponds to a unique student, so now you have a complete sample of random selected students.

This sample can not be biased in any way.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.