SOLUTION: x varies directly as the square of y and inversely as z. When y6 and z=3, x=112. What is x when y=3 and z=3?
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Question 186950: x varies directly as the square of y and inversely as z. When y6 and z=3, x=112. What is x when y=3 and z=3?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"x varies directly as the square of y and inversely as z" translates to (let me know if you need help with the translation)
Start with the given equation.
Plug in y=6, z=3 and x=112
Multiply both sides by 3.
Multiply
Square 6 to get 36
Divide both sides by 36 to isolate 'k'.
Reduce
So the constant is
-------------------------------
So the equation is:
Plug in , y=3 and z=3
Square 3 to get 9
Multiply and reduce
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