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21 Cards in this Set
- Front
- Back
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log property
loga^b = c |
a^c = b
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log property
log b^xy |
logb^x + logb^y
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log property
logb^(x/y) |
logb^x - logb^y
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log property
logb x^n |
n log b^x
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logb^x
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(logx)/ (logb)
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general equation of exponential functions
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y = a x b^x
b>0 |
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sum of 2 cubes
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(a+b) (a^2 -ab +b^2)
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difference of 2 cubes
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(a-b) (a^2 +ab +b^2)
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direct variation
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y = kx^n
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indirect variation
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y = k/(x^n)
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midpoints
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(X1 +X2)/2, (Y1 + Y2)/2
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distance
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radical (X2-X1) + (Y2 -Y1)
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circle
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(x-h)^2 + (y-k)^2 = r^2
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elipses
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ax^2 + by^2 + cx + dy + e = 0
a does not = b |
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hyperbolas
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ax^2 + by^2 + cx + dy + e = 0
a does not equal b and they are opposite in sign |
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using roots to find the quadratic formula
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x^2 -(r1 +r2) + (r1 x r2)
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arithemetic sequence
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tn = t1 + (n-1)d
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geometric sequence
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tn = t1 x r^(n-1)
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arithmetic series
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sn = n/2 x (t1 + tn)
or = n/2 x (2t1 + (n-1)d) |
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geometric series
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sn = t1 x (1-r^n)/ (1-r)
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convergent series
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s = t1/(1-r)
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