Write an equation that expresses the following relationship. p varies jointly with the square of d and the cube of u In your equation, use k as the constant of proportionality.

Respuesta :

Answer:

[tex]p= kd^{2}u^{3}[/tex]

Step-by-step explanation:

Using k as the constant of proportionality.

The expression that expresses the relationship : p varies jointly with the square of d and the cube of u.

Varies jointly means that p will change as 'd' and 'u' will change together with respect to their powers.

We get the expression as:

[tex]p= kd^{2}u^{3}[/tex]

The equation of p is [tex]p\ =\ kd^2u^3[/tex]

Variation can be direct, inverse or joint.

From the question, we understand that:

p varies jointly with the square of d and the cube of u

This is represented as:

[tex]p\ \alpha\ d^2u^3[/tex]

Express as an equation

[tex]p\ =\ kd^2u^3[/tex]

Where k represents the constant of proportionality.

Hence, the equation of p is [tex]p\ =\ kd^2u^3[/tex]

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