By solving the quadratic equation, total capacity of mosquitoes equals 25 millions because the y-coordinate is 25.
What is a Quadratic Equation?
- Since 2000 BC, there have been solutions to issues that can be described by quadratic equations.
- The quadratic equation is referred to as "univariate" because there is just one unknown in it. The quadratic equation is a polynomial equation because all the powers of x it includes are non-negative integers.
- Given that the highest power is two, it is in particular a polynomial equation of second degree.
As one function of rainfall (in millimetres), the quantity of mosquitoes throughout Minneapolis, Minnesota (measured in millions per mosquitoes) is modelled by:
This is a downward-opening quadratic equation (vertical parabola).
The maximum is at the vertex.
The fact that
The y-coordinate of both the vertex corresponds to the maximum number of mosquitoes that can exist.
Discover the vertex's coordinates.
A vertical parabola's general equation in vertex form is equivalent to
where (h,k) is still the vertex and (a) is a coefficient.
With respect to this issue, a=-1 (open downward) (h, k)= (5,25)
The total capacity of mosquitoes equals 25 millions because the y-coordinate is 25.
Learn more about quadratic equation here:
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