A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles and 3 green marbles. What is the probability that the selected marble is green. A.3
D.1/9
B.1/2
C.1/3

Step-by-step explanation:

Formula: Correct result / Total possible results

Plug it in: 3/9

Simplify: 1/3

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb