I think the algebra is C, but this series has shown me that I need to brush up on my algebra. I have an especially tenuous grasp on LCM of polynomials which has been a recurring theme lately.
As for the calculus problem, I'm going to have to go with A.
I'm most puzzled by the geometry this time though. My first intuition is to solve the equation (3x-9)+(2x+1)=180 for x, because angle JML should be supplementary to angle KML. After combining like terms and isolating x I get x=188/5 which is nowhere near any of the answers.
Now I'm thinking of approaching it differently, by seeing what constraints must be on the system. The first thing that jumps out at me is that neither angle measure will be zero, so x must be greater than 3. Next, I observe that angle JML must be greater than KML by the hinge theorem with the given side lengths. Because 3x-9=2x+1 when x=10, and for x>10 3x-9>2x+1, 3<x<10.
That's exactly answer D for the geometry problem, so I'll go with that.
Still I'm not so sure how the numbers are meant to work out. Replacing x with any number in that range leads to nonsensical angle measures.
For instance, if x=5 then the two angles are 6° and 11°. This is significantly less than the sum of 180° I would expect.
Maybe I'm missing something here.
RE: 3 Subject Math Quiz #15