Don has 12 white winter socks, 12 black winter socks, 4 black summer socks, and 12 white summer socks. If one sock is drawn at random, what is the probability that it is black, given that it is one of the summer socks?

10% chance it is a black summer sock

Step-by-step explanation:

it total there are 40 different socks and only 4 are black summer socks

4/40 = 0.1 or 10%

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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