Question

What is the average (arithmetic mean) of 4r + 5, 7x - 6, and -&x+2?

a) 3r + x + 1
b) 3r + 2x + 1
c) 3r + x - 1
d) 3r - x - 1

Answer 1

The correct average of the expressions 4r + 5, 7x - 6, and -x + 2 is (4/3)r + 2x + 1/3, which does not match any of the given answer choices, indicating a possible typo in the question or answers.

Step-by-step explanation:

To find the average (arithmetic mean) of the given expressions 4r + 5, 7x - 6, and −x + 2, you add them up and then divide by 3 since there are three expressions. Let's solve this step by step:

1. Add the expressions: (4r + 5) + (7x - 6) + (−x + 2) = 4r + 7x - x + 5 - 6 + 2
2. Simplify the sum: 4r + 6x + 1
3. Divide by the number of terms, which is 3: (4r + 6x + 1) / 3
4. Calculate the result: (4/3)r + (6/3)x + (1/3) = (4/3)r + 2x + 1/3

However, none of the provided answer choices match this result exactly. It seems there might be a typo in the question or in the answer choices, as the correct average does not match any of the options a) 3r + x + 1, b) 3r + 2x + 1, c) 3r + x - 1, or d) 3r - x - 1.