Question

Let [p=4x-7]. Which equation is equivalent to [(4x-7)²=16] in terms of [p]?

1) (p²=16)
2) (p²=40p-70)
3) (p²=16p-28)
4) (p²=40p-49)

Answer 1

To find the equivalent equation, substitute the value of p in the equation (4x-7)²=16. The correct equation is p²=16.

Step-by-step explanation:

To find the equation that is equivalent to (4x-7)²=16 in terms of p, we need to substitute the value of p into the equation.

Given that p=4x-7, we can substitute 4x-7 for p in the equation.

Substituting, we get (4x-7)²=16 becomes p²=16.

Therefore, the correct equation that is equivalent to (4x-7)²=16 in terms of p is p²=16.