pengyuwu

The smallest multiple of 12 that is greater than 200 is 17x12, or 204.

204's prime factorization is 2^2 times 3^1 times 17^1.

36's prime factorization is 2^2 times 3^2. The GCD is 2^2 times 3^1, which is 12. 

The answer is 204.

Plug the points that are given in.

-2=9a+3b+c

0=4a+2b+c

We need a third equation to solve. We are given the vertex; so the symmetrical line of this parabola is x=3. Reflect the other given point, (2,0), over this line to get your third point (4,0).

0=16a+4b+c. 3rd equation minus second equation is 12a+2b=0, second equation minus the first is -5a-b=2. -10a-2b=4. 2a=4, a=2, b=-12, c=16. (2,-12,16)

I believe there is an error with the question.

If 6 more juniors join and 1 senior leaves, there is no way the ratio would go from j:s 3:2 to 2:3, because no juniors left and no seniors joined.

The total number of yards lost on the two plays is 5+2=7 yards lost.

Let Jim's salary be J.

Jim spends 3/5 of his salary on transport. J-3/5J=2/5J is left.

1/8 of his remaining salary is (1/8)*(2/5J)=2/40J=1/20J, which is how much he spends on food.

He gives 1/10J to his mother.

So J-3/5J-1/20J-1/10J=5/20J=1/4J left, and this amount is equal to $1325.

(a) Jim spends 1/20 of his salary on food ($265)

(b) Jim's salary is 4*1325=$5300.