12 movies - 5 action, 5 romantic comedies, 2 thrillers 6 snacks - 1 popcorn, 3 chips, 2 cookies

4 drinks - 2 juice, 2 soda.

How many different arrangements can I make with 1 movie, 1 snack, and 1 drink?

There are 288  possible arrangements you can make with 1 movie, 1 snack, and 1 drink.

Step-by-step explanation:

Here, the total number of movie options available  = 12 movies

The total number of snack  options available  = 6 snacks

The total number of drink options available  =  4 drinks

To find the options available for 1 movie, 1 snack, and 1 drink:

N  = Total available options for { movies x snacks x drinks)

= 12 movies x 6 snacks  x  4 drinks

N  = 288 options

Hence, there are 288  possible arrangements you can make with 1 movie, 1 snack, and 1 drink

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: