A person eating at a cafeteria must choose 3 of the 15 vegetables on offer. Calculate the number of elements in the sample space for this experiment.

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

Zoey made 5 1/2 cups of trail mix for a camping trip. she wants to divide the trail mix into 3/4 cup servings. a. ten people are going on the trip. can zoey make enough 3/4 cup servings so that each person gets one serving? b. what size would the servings need to be for everyone to have a serving?

Which of the following is the explicit rule for a geometric sequence defined a recursive formula of a -5a for which the first term is 23?