There are 12 marbles in a bag, and the marbles are either yellow or green. two marbles will be randomly picked from the bag, without replacing the first one picked. the probability that both marbles will be yellow is 5/33 . how many yellow marbles are in the bag? a) 4 b) 5 c) 6 d) 7

d

Step-by-step explanation:

B) 5

Step-by-step explanation:

The probability of picking yellow first is x/12. The probability of picking yellow second is x-1/11. This will give a solution of x(x-1)/132*5/33 is equivalent to 20/132. 5 and 4 are the only two consecutive numbers that when multiplied together equal 20. Therefore there are 5 yellow marbles in the bag.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

is it 35

step-by-step explanation: