Mark is treating his family to ice cream. He buys 4 sundaes and 3 cones for a total of $26. Brian also buys ice cream for his fa
2 answers:
The cost of one sundae is s and cost of one cone is c.
Mark buys 4 sundae and 3 cones for a total of $26. Cost of 4 sundae will be 4s, cost of 3 cones will be 3c. So we can set up the equation for Mark as:
Brian buys 5 sundae and 2 cones for a total of $29. Cost of 5 sundae will be 5s, cost of 2 cones will be 2c. So we can set up the equation for Brian as:
Using these two equations, the cost of one sundae and one cone can be calculated.
Mark buys 4 sundae and 3 cones for a total of $26. Cost of 4 sundae will be 4s, cost of 3 cones will be 3c. So we can set up the equation for Mark as:
Brian buys 5 sundae and 2 cones for a total of $29. Cost of 5 sundae will be 5s, cost of 2 cones will be 2c. So we can set up the equation for Brian as:
Using these two equations, the cost of one sundae and one cone can be calculated.
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From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12
Source:
http://www.1728.org/quadr4.htm
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12
Source:
http://www.1728.org/quadr4.htm