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What is Transitive Property? 

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What is the Addition of Inequalities? 

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a<b you can add somthing to both sides 


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What is addition of a constant? 

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add to both sides and divide by the 6 both sides 


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find functions f(x) and g(x) such that (fog)(x)=h(x) for the giver h(x). Given h(x)=√x^2+7
1. Circle something just part of it.
h(x)=√x^2+7
2. set g(x) equal to stuffed circled
g(x)=x^2
3. Find f(x)by replacing circled stuff with just plain X
f(x)=√x+7
4. is it right?
f o g √x^2+7


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x^2+3x9=0
x=b+√b^24ac/2a
x=3+√(3)^24(1)(9)/2(1)
x=3+√45/2
x=3+3√5/2 

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Algebraic Equations
or Equation


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when subtracting or adding in equations does not equal 1 instead is 0 


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[image] 
Zero Property Product




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If something times something else is ZERO, the one of them must be ZERO
ab=0, then a=0 OR b=0 


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If f(x)=32x, then find f(1)
f(x)=32x
f(1)=32(1)


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Flip sign or dont flip sign? 

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5x+4=3x8 (subtract 3x from both sides)
2x+4=8 (subtract 4 from both side)
2x/2=12/2
x=6 


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[image] 
functions represented Graphically by points on a graph in a coordinate plane in which the input values are represented by the horizontal axis and the output values are represented by the vertical axis 



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Quotient:(f/g)(x)=f(x)/g(x), g(x)≠0 

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Difference: (fg)(x)=f(x)g(x) 

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Isolate the squared stuff " solve by extracting the square root"
4x^2=12
4x^2/4=12/4
x^2=3


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Solve for W
I=B+Bwr
IB/Br=Bwr/Br
IB/Br=w 

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Remember: B+Bwr/Br, it is illegal to cancel. It has to have r in every three term. 


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Quadratic Formula
The solutions of a quadratic equation in the general form
ax^2+bx+c=0 

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Quadratic formula
x=b=√b^24ac/2a 


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Multiplication by a Constant


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For c<0, a<b = ac<bc
For c<0, a≤b=ac≥bc 


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bounded is when there arent + and  


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f(x)=32x, find f(1/2)
f(1/2)=32(1/2)
f(1/2)=3+1=4


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Algebraic Equations
or Equation


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{(4,2),(2,1),(3,2),(1,4)} IS A RELATION



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Also a relation can be represented as a graph 


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A Conditional equation is true for just some of the real numbers in the domain of the variable


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Solve for b
subtract d
A= d+(b1)n
divide n
Ad/n=(b1)n/n
add 1
Ad/n=b1


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(price per unit)(# of units) 


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The sale price is $10 less than the list prices 

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Wrong way: s=10L
Right way:s=L10 


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When would you use revenue? 

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If you are a relator or buying a house 


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Which sections are concentrated with this exam 2? 

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Sections 1.2, 1.3, 1.4, 1.6, 1.7, 2.2 and 2.6. 


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What is the quadratic formula? 

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b(+/)√(b^2)4(a)(c)
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2a 


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A prime number is a natural number that has exactly two distinct natural number divisors 1 and itself
Eg : 1, 3, 5, 7, 9 


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What is the LCM of 1/3 and 2/5 

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What is the Greatest common divisor of 48 and 180 

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