Answer:
After 12 inches of rainfall there not be any mosquitoes
Step-by-step explanation:
The correct question is
The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in inches) is modeled by:
M(x)=-x^2+12x
After how many inches of rainfall will there not be any mosquitoes?
we have
[tex]M(x)=-x^2+12x[/tex]
where
M(x) is number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes)
x is the rainfall in inches
Remember that the x-intercepts are the values of x when the value of the function M(x) is equal to zero
That means ---> The x-intercepts are the values of the rainfall when the number of mosquitoes is equal to zero
Find the x-intercepts
For M(x)=0
[tex]-x^2+12x=0[/tex]
Factor -x
[tex]-x(x-12)=0[/tex]
The solutions are
x=0 in and x=12 in
therefore
After 12 inches of rainfall there not be any mosquitoes
