Answer:
The number of mosquitoes is maximum for 6.5 inches rainfall.
Step-by-step explanation:
The given function is
.... (1)
where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.
We need to find the rainfall that produces the maximum number of mosquitoes.
Differential the above function with respect to x.
.... (2)
Equate first derivative equal to 0.



Differential function (2) with respect to x.

Double derivative is negative. So, the value of function is maximum at x=6.5.
Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.
Answer:
5 and -3
Step-by-step explanation:
x+y =2
X-Y=-8
BY USING SIMULTANEOUS EQUATION
SUBTRACT SUCH THAT
2Y=10
SO Y = 5
X= -3
Answer:
A = 187.5L - L^2
So,
g(l) = 187.5l - l^2
Step-by-step explanation:
The perimeter of a rectangle is given by:
P = 2(L + B)
Where P = perimeter
L = Length
B = Width
Making B the subject of formula, we have;
B = P/2 - L ......1
The area of a rectangle is:
A = L × B ........2
Substituting equation 1 to 2.
A = L × (P/2 - L)
A = LP/2 - L^2 .......3
Given that the perimeter P = 375 inches
A = L(375)/2 - L^2
A = 187.5L - L^2
So,
g(l) = 187.5l - l^2
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