Geometry math question no guessing and show work you

Accoriding to the triangle inequality theorem, sum of two sides must be greater then third side .

And here the length of two sides are given, which are 4 and 7 . ANd there sum is 4+7=11.

So the third side must be smaller then 11.

A,C and D are smaller then 11 but B =11. So the correct option is B .

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

17 1/3

step-by-step explanation: