Movie Selections The Foreign Language Club is showing a three-movie marathon of subtitled movies. How many ways can they choose 3 from the 17 available?

Step-by-step explanation:

This is a beginning counting problem, or is it?

If order matters then the answer is

17P3 = 17! / (14!) = 17 * 16 * 15 = 4080

However if it does not matter then

17C3 = 17!/(3! * 14!)

680

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10