Anybody knows how to do this ?

the quickest way would be to "complete the square"

on x^2 + 5x - 7

you will end up with  (x+2.5)² = 13.25

or

 y =  (x+2.5)²-13.25    

the vertex

VERTEX: (-2.5,-13.25)    

Solution/X-Intercepts: -6.14 AND 1.14  

Step-by-step explanation:

  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).

54.864 meters

step-by-step explanation: