A random sampling of people are asked whether they like comedies or dramatic movies, and whether they prefer to watch them in the theater or at home. The results are in the table. Comedy Drama Total Theater 57 36 93 Home 78 53 131 Total 135 89 224 Based on the information provided, which of the following statements are true? Select all that apply. Group of answer choices 93% of the participants prefer watching movies in the theater. Approximately 58% of the participants prefer to watch movies at home. Approximately 40% of the participants who like Dramas prefer to watch them in the theater. Approximately 55% of the participants who prefer to watch movies at home also prefer comedies. Approximately 40% of the participants prefer Dramas.

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

all it means is function 3

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2