22.9k views
5 votes
A and B are two sets such that n(A-B) = 14+x, n(B-A) = 3x, and n(A ∩ B) = x. If n(A) = n(B), find the value of x and n(A ∪ B).

A. x = 14, n(A ∪ B) = 42
B. x = 7, n(A ∪ B) = 21
C. x = 21, n(A ∪ B) = 63
D. x = 0, n(A ∪ B) = 0

User Coyolero
by
8.7k points

1 Answer

2 votes

Final answer:

The change in finishing time with a wind speed of -8 meters per second using the equation y = -0.003x^2 - 0.355x + 0.038, plug in x = -8 and solve for y. The result is a change of 2.686 seconds, which suggests the time would be faster.

Step-by-step explanation:

The equation given is y = -0.003x^2 - 0.355x + 0.038, where y represents the change in finishing time and x represents the wind speed in meters per second. To find the change in finishing time when the wind speed is -8 meters per second, substitute x with -8 in the equation:

y = -0.003(-8)^2 - 0.355(-8) + 0.038

y = -0.003(64) + 2.84 + 0.038

y = -0.192 + 2.84 + 0.038

y = 2.686

The change in finishing time would be 2.686 seconds faster assuming a negative value indicates a faster time due to the wind's effect.

User Wmock
by
8.1k points