Evaluate 32 + 12 = ( 6 – 3) x 8.
2 answers:
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Answer:
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
Step-by-step explanation:
we have the function
where
m(x) is the number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes)
x is the rainfall (in centimeters)
This is a vertical parabola open downward
The vertex represent a maximum
The x-coordinate of the vertex represent the centimeters of rain that will produce the maximum number of mosquitoes
so
Convert the quadratic equation into vertex form
Factor -1
Complete the square
Rewrite as perfect squares
The vertex is the point (7,49)
therefore
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)