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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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3
The Discriminant and Multiplicity

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4
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?