Identify the equation of the circle that has its center at (-27, 120) and passes through the origin a. (x−27)2+(y+120)2=123 b. (x+27)2+(y−120)2=123 c. (x−27)2+(y+120)2=15129 d. (x+27)2+(y−120)2=15129

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.