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Margarita [4]
3 years ago
15

Y varies jointly as x and z, and inversely as w: y=3 when x=-2, z=6, and w=12.

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

<em><u>Write the equation that represents this relationship</u></em>

y = -3 \times \frac{xz}{w}

The constant is -3

<em><u>Solution:</u></em>

Given that,

y varies jointly as x and z, and inversely as w

Therefore,

y \propto \frac{xz}{w}

y = k \times \frac{xz}{w} ------ eqn\ 1

Where, k is constant of propotionality

y = 3 when x = -2, z = 6, and w = 12

Substitute in eqn 1

3 = k \times \frac{-2 \times 6}{12}\\\\3 = k \times -1\\\\k = -3

Write the equation that represents this relationship

Substitute k = -3 in eqn 1

y = -3 \times \frac{xz}{w}

Thus the equation is found

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\rule[225]{225}{2}

Hope this helped!

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