SOLUTION: The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p = -0.51^2 + 91 , where I is the current in amperes. (Amperes is just the units for the current,

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p = -0.51^2 + 91 , where I is the current in amperes. (Amperes is just the units for the current,      Log On


   

Question 1169204: The power, P watts, supplied to a circuit by a 9-V battery is given by the formula p = -0.51^2 + 91 , where I is the current in amperes. (Amperes is just the units for the current, just like a length is in cm)
A)Graph the function.
b)For what value of the current with the power be a maximum?
c)What is the maximum power?
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


You have a quadratic function with a negative lead coefficient, so the graph is a concave down parabola. Therefore, the value of the function at the vertex is the maximum value of the function. The value of the independent variable at the vertex of a parabola is given by the additive inverse of the first-degree term coefficient divided by 2 times the lead coefficient. Evaluate the function at the value of the independent variable at the vertex to find the maximum value of the function. You can do your own arithmetic.

John

My calculator said it, I believe it, that settles it

From
I > Ø