Question

I have four questions in one.

1. A library crew can shelve books in six hours. Another crew can do the job in four hours. If the first crew begins and is joined by the second crew one hour later, how many hours will it take to finish the job?

2. Find a quadratic function f(x)=ax^2 + bx + c whose graph has a maximum value at 25 and x-intercepts -3 and 2.

3. Suppose Z varies directly as X and Y and inversely as W, and Z=8 when X=6, Y=5, and W=10. Find Z when X=3, Y=4, and W=5.

4. Find the equation of the hyberbola with foci (3, -6) and (3,2) and with 6 as the difference of focal radii.

Even if you only know one I sure would appreciate the help. :)

Answer 1

1. 1/6+1/4x=1
1/4x=5/6
x=20/6 hrs= 3 2/6 hrs