Show:
Revenue and Minimum Product
Square Roots
Completing the Square
Quadratic Formula
Find The Vertex
100
Two number have a difference of 4 and a minimum product. What are these numbers and what is their product?
a = -2, b = 2, product = -4
100
Solve the following quadratic equation by using square roots: x^2 = 4
x = 2 x = -2
100
Solve the following quadratic equation by completing the square: x^2 + 6x = -8
x = -2 x = -4
100
What is the quadratic formula?
x = -b +- sqrt(b^2 - 4ac) 2a
100
Find the vertex of f(x)=-x^2+8x-15
(4,1)
200
Two numbers have a difference of 9 and a minimum product. What are these numbers and their product
a = 9/2, b = -9/2, product = 81/4
200
Solve the following quadratic equation by using square roots: x^2 = 121
+11 or -11
200
Solve the following quadratic equation by completing the square: x^2 - 6x = -5
x = 1 x = 5
200
Solve the following quadratic equation by using the quadratic formula: x^2 + 6x + 5 = 0
x = -1 x = -5
200
Find the vertex of f(x)=x^2-2x
(1,-1)
300

The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price that it charges. The revenue is

R = -p2/2 + 1900p

What is the maximum revenue? 

Revenue = $1805000

300
Solve the following quadratic equation by using square roots: 4x^2 = 400
x = 10 x = -10
300
Solve the following quadratic equation by completing the square: x^2 - 2x - 24 = 0
x = -4 x = 6
300
Solve the following quadratic equation by using the quadratic formula: x^2 - 9x + 20 = 0
x = 5 x = 4
300
Find the vertex of f(x)=5x^2+2x-2
(-1/5,-11/5)
400

Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $0.10 increase in ticket price, the dance committee projects that attendance will decrease by 5. What is the maximum possible revenue? What is new price for the tickets?

Revenue = 1250

# of increases = 10
new price = $5

400
Solve the following quadratic equation by using square roots: x^2 -9 = -8
x = 1 or -1
400
Solve the following quadratic equation by completing the square: x^2 + 10x +16 = 0
x = -2 x = -8
400
Solve the following quadratic equation by using the quadratic formula: 2x^2 + 9x + 4 = 0
x = -1/2 x = -4
400
f(x)=-x^2-4x
(-2,4)
500
Ms Molnar sells chocolates for $5. Every day she sells 100 chocolates. Market research indicates that for every $2 increase in price she will sell 4 less chocolates. What is her maximum possible revenue? What is the new price of the chocolates?
Max Revenue = $1512.50

# of increases = 11.25
new price = $27.5

500
Solve the following quadratic equation by using square roots: 5x^2 + 3 = 128
x = 5 x = -5
500
Solve the following quadratic equation by completing the square: 2x^2 - 8x = 10
x = 5 x = -1
500
Solve the following quadratic equation by using the quadratic formula: 4x^2 - 17x - 15 = 0
x = 5 x = -3/4
500
Find the vertex of x=5y^2+4y+3
(11/5,-2/5)