4. The variable p varies inversely with q. The value of p = 2/3 when q = 3/4 . Write an equation tha...

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4. The variable p varies inversely with q. The value of p = 2/3 when q = 3/4 . Write an equation that relates p and q.​

Mga sagot sa #1 sa Tanong: 4. The variable p varies inversely with q. The value of p = 2/3 when q = 3/4 . Write an equation that relates p and q.​

Answer:

P is inversely proportional to to Q, so it is directly proportional to 1/Q.

With k as an unknown, then: P=k/Q or PQ=k

P=x when Q=3, so x=k/3. When Q=x, P=k/x. Next, simplify the two equations for the same variable. Technically, this is one of many techniques for solving a system of two equations with two unknowns.

x=k/3 and P=k/x become

k=3x and k=Px

Px = 3x. Divide both sides by x to produce

P=3

Step-by-step explanation:

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