Sum/difference:
Let

This means that

Now, assume that
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that
was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get

if again we assume x to be rational, we have

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
22+24+26+28+30+32+34+36+38+40+42+44= 396
Steps:
2 1/3 * 3 = 7
14 * 3 = 42
42 divided by 7 = 6
6 * 8 = 48
So, Maggie is 48 feet under the summit (-48). Therefore, the correct answer is d.
The average rate of change of g(x) between x = 4 and x = 7 is . Which statement must be true?
I’m lost as also sorry I just need some points I’m doing a test rn