I’m clueless! Can someone explain how to do this question step by step? Thanks! Extra points!! What is the average (arithmetic mean) of 4x + 5, 7x-6, and -8x+2?

x+ 1/3 is the average

Step-by-step explanation:

To find the mean, add the terms together and then divide by the number of terms.  There are 3 terms

(4x + 5+ 7x-6 + -8x+2)/3

Combine like terms

( 3x+1)/3

x+ 1/3 is the average

Key features: the functions can not be parallels, this means that their respective slopes can not be equal or multiple to the other

Step-by-step explanation:

Take for instance 2 linear functions,  and

If they intersect in some point in the space, say that is

Then (x1,y1)=(x3,y3), (x2.y2)= (x3,y3)

So, we can compare the two functions and get the following result;

It tells us that if M=m, we get an error, meaning that the functions are in fact parallels and there is no way that they meet in some point.

hope this helps!