Answer:
The Value of a could be anything, as a represents a variable.
8(4n + 13) = 6n
Use distributive property so :8 (4n) = 32n and 8(13) = 104
32n + 104 = 6n
Subtract 32n from each side and you will get:
104 = 26n
then you divide each side by 26 and your answer will be:
n = 4
Intuitively, one would think the ball would land in the green spot 2 out of the 38 times, since there are 38 slots and 2 are green.
The probability that it lands in a green section is 2/38. Multiplying this by the number of times the experiment is performed, we get (2/38)(38) = 2.
We are asked in the problem to devise a polynomial equation that has a GCF of 6 which means each of the terms can be divided to 6. For example: 6*(x^2 + x+1) = 6x^2 + 6x +6. This polynomial is created by multiplying each terms by the number 6 which is distinguished by factoring.