# Shared Flashcard Set

## Details

Exam 2
Competetion +3 #2
54
Mathematics
09/22/2010

Term
 What is Transitive Property?
Definition
 if a
Term
 What is the Addition of Inequalities?
Definition
 a
Term
 What is addition of a constant?
Definition
 a+x
Term
 Remember signs flip!
Definition
 -4x>12Divide by -4 x<-3
Term
 -3< 6x-1<3
Definition
 add to both sides and divide by the 6 both sides
Term
 -3
Definition
 (-3,7)
Term
 (f+g)(x) means
Definition
 f(x)+g(x)
Term
 (f-g)(x) means
Definition
 f(x)-g(x)
Term
 (f+g)(x) means
Definition
 (fg)(x)
Term
 (f/g)(x) means
Definition
 f(x)/g(x)
Term
 (f X g)(x) means
Definition
 f(g(x))
Term
 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
Definition
 yes
Term
 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
Definition
 x=-3+-3√5/2
Term
 Algebraic Equations or Equation
Definition
 x/8
Term
 Verbal Description
Definition
 The ratio of x to 8
Term
 REMINDER
Definition
 when subtracting or adding in equations does not equal 1 instead is 0
Term
 [image]
 [image] Zero Property Product
Definition
 If something times something else is ZERO, the one of them must be ZERO ab=0, then a=0 OR b=0
Term
 If f(x)=3-2x, then find f(-1)   f(x)=3-2x f(-1)=3-2(-1)
Definition
 f(-1)=3+2=5
Term
 Flip sign or dont flip sign?
Definition
 2x/2>16/2=x>8 Yes Flip
Term
 Linear Equations
Definition
 5x+4=3x-8 (subtract 3x from both sides) 2x+4=-8 (subtract 4 from both side) 2x/2=-12/2 x=-6
Term
 REMINDER
Definition
 [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
Term
 Quotient:(f/g)(x)=f(x)/g(x), g(x)≠0
Definition
Term
 Difference: (f-g)(x)=f(x)-g(x)
Definition
Term
 Product:(fg)(x)=f(x).(x)
Definition
Term
 Isolate the squared stuff " solve by extracting the square root" 4x^2=12 4x^2/4=12/4 x^2=3
Definition
 x=+- √3
Term
 Solve for W I=B+Bwr I-B/Br=Bwr/Br I-B/Br=w
Definition
 Remember: B+Bwr/Br, it is illegal to cancel.  It has to have r in every three term.
Term
 Quadratic Formula   The solutions of a quadratic equation in the general form ax^2+bx+c=0
Definition
Term
 Multiplication by a Constant
Definition
 For c<0, a
Term
 Bounded or unbounded
Definition
 (-3,5] = -3
Term
 Bounded or unbounded
Definition
 (-3,∞)=-3
Term
 What is bounded?
Definition
 bounded is when there arent + and -
Term
 What is unbounded?
Definition
 With - and + numbers
Term
 (x+3)(x-8)=0   FOIL
Definition
 x^2-5x-24=0
Term
 f(x)=3-2x, find f(-1/2) f(-1/2)=3-2(-1/2) f(-1/2)=3+1=4
Definition
 OR (-1/2, 4)
Term
 Algebraic Equations or Equation
Definition
 S=L-10
Term
 FUNCTIONS
Definition
 {(4,2),(2,1),(3,2),(1,4)} IS A RELATION
Term
 fuctions
Definition
 y=x+1 IS A RELATION
Term
 Function
Definition
 Also a relation can be represented as a graph
Term
 A Conditional equation is true for just some of the real numbers in the domain of the variable
Definition
 x^2-9=0
Term
 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
Definition
 A-d/n+1=b
Term
 70 is 40% of what #
Definition
 70=.40 X x
Term
 revenue=
Definition
 (price per unit)(# of units)
Term
 The sale price is \$10 less than the list prices
Definition
 Wrong way: s=10-L Right way:s=L-10
Term
 When would you use revenue?
Definition
 If you are a relator or buying a house
Term
 What exam is this?
Definition
 Exam 2
Term
 When is the Exam?
Definition
 10/12/10
Term
 Which sections are concentrated with this exam 2?
Definition
 Sections 1.2, 1.3, 1.4, 1.6, 1.7, 2.2 and 2.6.
Term
 if ab=0 then a=0 or b=0
Definition
 Seem believable?
Term
Definition
 x=5 x=7
Term
Definition
 x=6 x=8
Term
Definition
 -b(+/-)√(b^2)-4(a)(c) ___________________ 2a
Term
 What is a prime number?
Definition
 A prime number is a natural number that has exactly two distinct natural number divisors- 1 and itself   Eg : 1, 3, 5, 7, 9
Term
 What is the LCM of 1/3 and 2/5
Definition
 Ans: 2
Term
 What is the Greatest common divisor of 48 and 180
Definition
 Ans: 12
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