Answer:
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Step-by-step explanation:
Answer:
The equation in vertex form is:
Step-by-step explanation:
Recall that the formula of a parabola with vertex at 
is given by the equation in vertex form:
where the parameter 
can be specified by an extra information on any other point apart from the vertex, that parabola goes through.
In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:
we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter 
:
The, the final form of the parabola's equation in vertex form is:
Step-by-step explanation:
the perfect squares =
81, 121, 625
Answer:
The volume of the box is 3/4 cubic meters.
Step-by-step explanation:
We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.
5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.
5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.
15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.
Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2
The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.
If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
