If the height h of a triangle is 3 inches less than the length of the base b, and the area a of the triangle is 19 times the length of the base, find b and h.

b= 41

h= 38

Step-by-step explanation:

h= b-3

A= 19b

(b-3) x b    = 19 b

     2

(b-3) x b = 19b(2)

(b-3) x b = 38b

b-3 = 38

b= 41 : h= 41 - 3 =h = 38

  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).