SOLUTION: Y varies directly as square root of Z and inversely as X cubed y equals 3 when Z equals 4 and x equals 2 find y if Z equals 16 and x equals 4

Algebra ->  Systems-of-equations -> SOLUTION: Y varies directly as square root of Z and inversely as X cubed y equals 3 when Z equals 4 and x equals 2 find y if Z equals 16 and x equals 4      Log On


   



Question 1036076: Y varies directly as square root of Z and inversely as X cubed y equals 3 when Z equals 4 and x equals 2 find y if Z equals 16 and x equals 4
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The relationship looks like this:
y+=+k%2Asqrt%28z%29%2Fx%5E3
Now we plug in the original facts to find k...
3+=+k%2Asqrt%284%29%2F2%5E3
and we find
k = 12
Now we rewrite our relationship with the new k and plug in 2nd set of facts...
y+=+12%2Asqrt%28z%29%2Fx%5E3+=+12%2Asqrt%2816%29%2F4%5E3+=+48%2F64+=+3%2F4