Friday, April 18, 2014
Tuesday, April 15, 2014
Wednesday, March 19, 2014
Linear Programming
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Vertices:
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Constraints
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Objective Function:
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x ≥ 0
y ≤8
-2x + 3y≥ 12
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C=0
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Vertices:
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Constraints
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Objective Function:
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x ≥ 1
y ≥ 2
6x +4 y ≤ 38
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C=7(5)+3(2)
C=41 |
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Vertices:
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Constraints
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Objective Function:
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x≤ 5
y ≥ 4
-2x +3 y ≤ 30
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Vertices:
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0,6
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0,0
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6,0
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Constraints
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Objective Function:
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x ≥
0
y ≥
0
x + y ≤ 6
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C=3x+4y
C=3(0)+4(6) | 24 |
C=3(0)+4(0)
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0
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C=3(6)+4(0)
18 | |||
Vertices:
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Constraints
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Objective Function:
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x ≥
0
y ≥
0
4x + 4y ≤ 20
x+2y≤8
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Monday, March 10, 2014
Tuesday, March 4, 2014
Graphing Exponetial Growth & Decay
Y= a×b x-h +K
A= multiplier
A>1= stretch
A<a<1= compression
A<0 (negative) = flipped over x- axis.
B= base has an exponential (always positive)
0>b<1= Decay (always decreasing)
Asymptote
y=k
Domain
(-∞, ∞) =all real numbers
Range
y>k (a is pos)
y<k (a is neg)
Exponential equations domain is always all real numbers.
Tuesday, February 25, 2014
Tuesday, February 18, 2014
General forms of a Sequence
Arithmetic &
Geometric Sequences
Arithmetic formula: an= a1 (n + 1) d
Geometric formula: an= a1* r (n-1)
Example: -9, 3, -1,
1/3, 1/9
This is a geometric
sequence.
To find the term in a
geometric sequence multiply or divide the previous term by “r”.
-9, 3, -1, 1/3,
1/9 r= -1/3
5, -10,
20, -40 r= -2
-10 20 -40
5
-10 20
Monday, February 17, 2014
Wednesday, January 15, 2014
Characteristics & Traits
Characteristics and Traits
Domain: X values. Left/Right
Range: values. Up/Down
End Behaviors: The description of what happens to a
graph at the ends
Absolute Max/Min: Highest/Lowest point.
Local Max/Min: More than 1 highest/lowest point.
Intervals of increase: What happens to a graph (y
value) as you move along the x-axis increase
Intervals of decrease: To see if the y values are
increasing.
Y intercept: 00,Y
Odd: symmetric about the origin
Even: symmetric about the y axis
Function: Passes the vertical line test
One to one: Passes both vertical and horizontal
line test
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