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Math Topics

Intermediate Algebra

Quadratic Equations and Functions

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1
Completing the Square

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2
The Quadratic Formula

A company produces and sells copies of an accounting program for home computers. The total weekly cost (in dollars) to produce \(x\) copies of the program is \(C(x)=8x+500\), and the weekly revenue for selling all \(x\) copies of the program is \(R(x)=35x-0.1x^2\). How many programs must be sold each week for the weekly profit to be \(\$1\text{,}200\)?

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The Discriminant and Multiplicity

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Equations Quadratic in Form

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Quadratic Functions and Transformations

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More About Graphing Quadratic Functions

A company selling copies of an accounting program finds that it will make a weekly profit \(P\) dollars from selling \(x\) copies according to the equation \[P(x)=-0.1x^2+27x-500.\] How many copies should it sell to make the largest possible profit and what is the largest possible profit?

An art supply store can sell \(x\) sketch pads each week at \(p\) dollars, according to the equation \(x=900-300p\). Graph the revenue equation \(R=xp\). Then use the graph to find the price \(p\) that will bring in the maximum revenue. Find the maximum revenue.

At the \(1997\) Washington County Fair in Oregon. David Smith, Jr., The Bullet, was shot from a cannon. He reached a height of \(70\) feet before landing in a net \(160\) feet from the cannon. Sketch the graph of his path, and then find the equation of the graph.