On friday nights the local diner serves three main entrees, each with a choice of vegetable. the entrees are beef, chicken, and fish. the vegetables are spinach, broccoli, and carrots. how many possible dinners (entree and vegetable combinations) does the diner serve? list them.

The number of possible outcomes = 9

List are as follows :

BC,BBr, BCa, CS, CBr, CF, FS, FBr, FCa.

Step-by-step explanation:

Since we have given that

Number of entrees = 3

Number of vegetables = 3

Total number of possible dinners is given by

Types of entrees are as follows:

Beef (B)

Chicken (C)

Fish (F)

Types  of vegetables are as follows :

Spinach (S)

Broccoli (Br)

Carrots (Ca)

List are as follows :

BC,BBr, BCa, CS, CBr, CF, FS, FBr, FCa.

  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).