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Functions and Graphs

Functions and Graphs

Secondary 3

\(z\) varies directly as \(x\) and inversely as \(y^2\). When \(x=6\) and \(y=2\), \(z=15\). Find

  1. \(z\) in terms of \(x\) and \(y\);

  2. \(z\) when \(x=4\) and \(y=3\);

  3. \(x\) when \(z=10\) and \(y=3\).

Solution:

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Answer:(a) \(z=\frac{10x}{y^2}\); (b) \(z=\frac{40}{9}\); (c) \(x=9\).

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