It is given that p varies inversely as q. If p = 12 and q = 45 find p, if q is 135.

Step-by-step explanation:

Given

Variation: Inversely

when

Required

Determine p when

First, we need to determine the relationship between p and q

Since, it is an inverse variation.

The relationship is:

Convert to an equation

Where k = constant of variation

Make k the subject

When and

To solve for p when q = 135

Substitute 135 for q and 540 for k in

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.