cross multiplication, Algebra

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2x+3

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Solve example using logarithms, Example Simplify following logarithms. ...

Example Simplify following logarithms. log 4 ( x 3 y 5 ) Solution Here the instructions may be a little misleading.  While we say simplify we actually mean to say tha

Sketch the increasing graph, Sketch the graph of                        ...

Sketch the graph of                                                f( x ) = e x . Solution Let's build up first a table of values for this function. x

Find out the partial fraction decomposition, Find out the partial fraction ...

Find out the partial fraction decomposition of each of the following. 8x 2 -12/( x( x 2 + 2 x - 6) Solution In this case the x which sits in the front is a linear term

Graphing polynomials, In this section we are going to look at a technique f...

In this section we are going to look at a technique for getting a violent sketch of a general polynomial. The only real information which we're going to required is a complete list

Intercepts point, We have to probably do a quick review of intercepts befor...

We have to probably do a quick review of intercepts before going much beyond.  Intercepts are the points on which the graph will cross the x or y-axis. Determining intercepts is

Radical Expressions, An object 4.8 feet tall casts a shadow that is 14.4 fe...

An object 4.8 feet tall casts a shadow that is 14.4 feet long. How long in feet would the shadow be for an object which is 16.8 feet tall?

Example of equations with radicals, Solve x =√(x+ 6) . Solution In ...

Solve x =√(x+ 6) . Solution In this equation the fundamental problem is the square root.  If it weren't there we could do the problem.  The whole procedure that we're going

Ellipses, In a earlier section we looked at graphing circles & since circle...

In a earlier section we looked at graphing circles & since circles are actually special cases of ellipses already we've got most of the tools under our belts to graph ellipses.  Al

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