Roots
Factor and use the zero product property to find the roots of the quadratic equation:
x2-7x+12=0
(3, 0) and (4, 0)
Find the slope of the line through these two points:
(9, 3) and (-2, 14)
m = -1
All parabolas are _______!
SYMMETRIC
What is the yearly multiplier for an object that increases by 6% per year?
1.06
Solve the system of equations using any method:
x - 3y = 1
y = 16 - 2x
(7, 2)
Factor and use the zero product property to find the roots of the quadratic equation:
x2+14x+24=0
(-12, 0) and (-2, 0)
Given the two points (-24, 7) and (30, 25), what is the equation of the line passing through the points?
y = ⅓ x + 15
Find the coordinates of the x-intercepts and y-intercept of the quadratic:
y = x2 - 2x -15
x-intercepts: (5, 0) and (-3, 0)
y-intercept: (0, -15)
Write the exponential equation for a football card that is worth $200 dollars now and increases in value by 9% per year.
y = 200(1.09)x
Solve the system of equations using any method:
6x - 2y = 10
3x - y = 2
Factor and use the zero product property to find the roots of the quadratic equation:
x2+12x+36=0
(-6, 0)
Is the point (51, 33) on the line: y = ⅓ x + 15
EXPLAIN.
Find the vertex of this parabola written in vertex form:
y = 2(x - 4)2 + 7
(4, 7)
The price of milk has been steadily increasing 5% per year. If the cost of a gallon is now $3.89, what will it cost in 10 years?
$6.34
Solve for x :
4x - 6y = 20
x = 1.5y + 5
Factor and use the zero product property to find the roots of the quadratic equation:
x2-9=0
(3, 0) and (-3, 0)
Write the equation of the sequence in explicit form:
100, 10, 1, 0.1
t(n) = 1000 ( 1/10 )n
Find the x-intercepts, y-intercept, and vertex of the quadratic :
y = x2 - 11x + 28
x-intercepts: (7, 0) and (4, 0)
y-intercept: (0, 28)
Vertex: (5.5, -2.25)
The price of milk has been steadily increasing 5% per year. If the cost of a gallon is now $3.89, what did it cost 5 years ago?
$3.05
Factor:
x2 + 7x + 10
(x + 5)(x + 2)
Factor and use the zero product property to find the roots of the quadratic equation:
6x2-23x+20=0
(4/3, 0) and (5/2, 0)
Write the equation of the sequence in explicit form:
0, -50, -100
t(n) = -50n + 50
Find the x-intercepts, y-intercept, and vertex of the quadratic :
y = x2 - 2x
x-intercepts: (0, 0) and (2, 0)
y-intercept: (0, 0)
Vertex: (1, -1)
Find the values of a and b that make the system of exponential equations true:
20 = a * (b)2
96 = a * (b)3
Round to the nearest hundreth.
a = .87
b = 4.8
Quinn started off with twice as much candy as Denali, but then he ate 4 pieces. When Quinn and Denali put their candy together, they now have a total of 50 pieces. How many pieces of candy did Denali start with?
Denali has 18 pieces of candy.