If f(x) = x + 8 and g(x) = –4x – 3, find (f – g)(x). a. (f – g)(x) = –5x – 11 b. (f – g)(x) = –3x + 5 c. (f – g)(x) = –3x – 5 d. (f – g)(x) = 5x + 11

For this case we have the following functions:

 f (x) = x + 8

 g (x) = -4x - 3

 Subtracting the functions we have:

 (f - g) (x) = f (x) - g (x)

 (f - g) (x) = (x + 8) - (-4x - 3)

 Rewriting:

 (f - g) (x) = x + 8 + 4x + 3

 (f - g) (x) = 5x + 11

 D. (f - g) (x) = 5x + 11

We are told that each person flips a coin 200 times. We know that a coin has two options when heads or tails fall, therefore, the results between Amir and Marvin are compared with the number of heads and the number of tails that each one obtained.

The theoretical probability says that out of 200 times a coin is flipped by having 50% heads or tails come out, 100 must be heads and 100 must be tails, theoretically obviously speaking.

Therefore with these values it would be the comparison.