A = L * W
A = 320
L = W + 4
320 = W(W + 4)
320 = W^2 + 4W
W^2 + 4W = 320
W^2 + 4W + 4 = 320 + 4
(W + 2)^2 = 324
W + 2 = (+-) sqrt 324
W = -2 (+-) 18
W = -2 + 18 = 16 ft <== this is the width
W = -2 - 18 = -20....not this one because it is negative
L = W + 4
L = 16 + 4
L = 20 ft <=== this is the length
in summary...the width is 16 ft and the length is 20 ft
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
R=1/2*d
r=1/2*9
r=4.5 inches
Cannot be determined
<u>Explanation</u>
The probability cannot be determined because we do not know the distribution of the population. We also do not know the number of students who are taking marketing or spanish or total number of students. Since the data is incomplete, we cannot determine the probability of students taking spanish or marketing.