Buckle up, this one was a long one.
I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x).
Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x.
To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x).
Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1.
Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1.
Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.
Set each polynomial equal to 1/24 to get you possible answers for what x can be.
x + 12 = 1/24. Subtract 12 from both sides; you get x = - 12 + 1/24 to get x = - 11 23/24.
x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24
Answer: 21
Step-by-step explanation:
Given : Number of red marbles = 4
Number of green marbles =3
Number of transparent marbles =1
Number of yellow marbles =3
Number of orange marbles =3
If we want to count the sets of five marbles are there in which none of them are red or green, the we exclude green and red marbles from the total marbles.
i.e. Total required marbles = 1+3+3=7
Now, the number of possible sets of five marbles are there:-
Hence, the number of possible sets of five marbles =21
R=23 because its slope the formula is Y-Y/X-X
Answer:
V≈146.57ft^3
Step-by-step explanation:
V=πr^2·h/3 since d is 14.4, we would divide it by 2 to find the radius which is 7.2
so V= π(7.2)^2· (2.7)/3
V≈146.57ft^3
It would be greatly appreciated if you gave me the brainlest
