In an experiment, two liquids with different viscosities (thickness) are allowed to drip a drop at a time into a flask, where they are mixed. The apparatus is set up such that the first liquid drips 3 v ^3 − 2 v + 20 milliliters per minute and the second liquid drips v + 2 milliliters per minute, where v is the average viscosity of the final mixture. Which equation shows how many milliliters of the first liquid are mixed for every milliliter of the second liquid?
To find the equation we have to divide the rates: ( 3 v³ - 2 v + 20 ) : ( v + 2 ) = 3 v² - 6 v + 10 -3 v³ - 6 v² ---------------- - 6 v² - 2 v 6 v² + 12 v ------------------- 10 v + 20 - 10 v - 20 --------------- r ( x ) = 0
