A bag holds 5 red marbles, 7 green marbles, and 4 yellow marbles. If marbles are not returned to thr bag afetr being drawn, what is the rpobability that the first marble will be red and the second marble will be yellow? A. 1/4
B. 1/12
C. 3/16
D. 4/52

1/12

Step-by-step explanation:

Total number of marbles = 5+7+4 = 16 marbles

Probability of picking a red marble = 5/16

Because the red marble is not returned back after being picked up, the total number of marbles is now 15.

Now,

Probability of picking a yellow marble = 4/15

The probability of picking a red and yellow marble will be the product of these two probabilities which will = 5/16 x 4/15 = 1/12

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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