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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+3x-9=0
x=-b+-√b^2-4ac/2a
x=-3+-√(3)^2-4(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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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)=3-2x, then find f(-1)
f(x)=3-2x
f(-1)=3-2(-1)
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| Flip sign or dont flip sign? |
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5x+4=3x-8 (subtract 3x from both sides)
2x+4=-8 (subtract 4 from both side)
2x/2=-12/2
x=-6 |
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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: (f-g)(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
I-B/Br=Bwr/Br
I-B/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^2-4ac/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)=3-2x, find f(-1/2)
f(-1/2)=3-2(-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+(b-1)n
divide n
A-d/n=(b-1)n/n
add 1
A-d/n=b-1
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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=10-L
Right way:s=L-10 |
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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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