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.
x = 375 and y = 6300. Option C.
Step-by-step explanation:
From the given data we need to find the value of x and y.
First, we will find out the ratio of area and the force.
= 
So,
or, x = 
= 375
Again,
or, y = 420×15 = 6300
Hence,
x = 375 and y = 6300.
Answer:
Neither.
Step-by-step explanation:
you are correct about the pattern, so it's not adding the same number and not multiplying by the same number. So it's neither.
Answer:
Step-by-step explanation:
Asymptotes 3
g(x) = 
Factors of denominator will be,
x² - 3x - 10 = x² - 5x + 2x - 10
= x(x - 5) + 2(x - 5)
= (x + 2)(x - 5)
Therefore, factored form of g(x) will be,
g(x) = 
Asymptotes 4
h(x) = 
= 
= 
= 
