Question

Consider the equation 4(px+1)=64. The value of x in terms of p is_____.The value of x when p is -5 is _____.

A. x= 4p+1/16,x=−3

B. x= 4p+1/14,x=2

C. x= 4p+1/15,x=4

D. x= 4p+1/12,x=−2

Answer 1

The value of x in terms of p is x = 15/p. When p is -5, the value of x is -3.

Step-by-step explanation:

The equation given is 4(px+1)=64. We can solve for x by isolating it on one side of the equation.

Step 1: Divide both sides of the equation by 4: px+1 = 16.

Step 2: Subtract 1 from both sides to get px = 15.

Step 3: Divide both sides by p to solve for x: x = 15/p.

So, the value of x in terms of p is x = 15/p.

When p is -5, we substitute this value into the equation. x = 15/(-5) = -3.

Therefore, the value of x when p is -5 is x = -3.