Exponential Functions and LOGS

Exponential Functions

f FOLLOWING g

Click here for explanation of the ABOVE...

Click here for explanation of the ABOVE...

Click here for explanation of the ABOVE...

Click here for explanation of the ABOVE...

Inverse Functions

Inverse Functions:

Click here for a video explanation of the ABOVE...

Click here for a Video Explanation of the ABOVE ...

negative powers

NEGATIVE POWERS

Three Equations and Three Unknowns

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In Solving Algebraic Systems we frequently
MULTIPLY an EQUATION by a NUMBER
that will create OPPOSITE COEFFICIENTS.
Be VERY CAREFUL to MULTIPLY
both sides of the EQUATION by the number.
As can be seen in the first example below,
we MULTIPLY equation #1 by (-3)
so that the VARIABLE   "P"    will cancel.
Notice that we MULTIPLY ALL TERMS BY (-3)
5M(-3) is -15M ....   3N(-3) is -9N ...  1P(-3) is -3P ...and...4(-3) is -1

link for help

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some Math Humor

Linear Programming

Linear Programming
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#3 is worked out in detail BELOW #3

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#3 worked out in DETAIL:

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