solving quadratic equations
x^2-9=0
x=3 or x=-3
y=x^2+4
quadratic
y=x^2-4
x int: (-2,0) and (2,0)
y int: (0,-4)
y=(x-2)^2+3
(2,3)
a student has 5 different books and wants to choose 2 to bring on vacation. how many different pairs of books can they choose
10 combinations
x^2 +5x+6=0
x=-2 or x=-3
y=3^x
exponential
y=x^2+2x
x int: (-2,0) and (0,0)
y int: (0,0)
y-(x+4)^2-2
(-4,-2)
there are 4 students running for president vice president and secretary. how many ways can three positions be assigned to different students
24 permutations
x^2-7x+12=0
x=3 or x=4
y=2x^2+5x-3
quadratic
y=x^2-5x+6
x int: (2,0) and (3,0)
y int: (0,6)
y=x^2-6x+5
(3,-4)
a softball coach has 8 players and needs to choose 3 players for a special team. how many different groups of 3 can she make?
56 combinations
2x^2-10x+12=0
x=-2 or x=3
y=4(2)^x +1
exponential
y=2x^2-8
x int: (-2,0) and (2,0)
y int: (0,-8)
y=2x^2-8x+1
(2,-7)
there are 7 runners in a race. how many different ways can first second and third place be awarded
210 permutations
2x^2+x-6+0
x=-2 or x=3/2
y=x^3+2x^2-5
neither
y=2x^2-7x+3
x int: (1/2,0) and (3,0)
y int: (0,3)
y=-x^2+4x+1
(2,5)
a club has 10 members and needs to choose a committee of 4 people. how many different committees are possible?
210 combinations