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:

Step-by-step explanation:
So when x and y, vary inversely, it means that the product of x and y will remain constant such that:
. This means that the function can be defined as
by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:
, which can be defined as 
Answer:
Weight of a quarter = 6.25 grams
Weight of a dime = 2.5 grams
Step-by-step explanation:
The weight of a nickel is 80%
The weight of a quarter or the weight of a nickel is 5 grams or weight of a quarter =50.8 = 6.25 grams
Weight of a dime = 50% = 12 (weight of nickel) = 52 = 2.5 grams
Answer: 1/3
Explanation:
1/12 of the squad are suspended:
1/12 x 24 = 24/12 = 2
So 2 player are suspended
24 - 2 = 22 player
And some are injured leaving 14 left to play:
22 - 14 = 8 players injured
So 8/24 is the fraction of injured player.
But 8/24 = 1/3 so we can say 1/3 of the whole squad are injured.
Answer:
Well if you see the graph (-5, -5) is a total negative number that is in the 3 quadrant.
As for (-9,2) it goes to negative to positive.
Look at the graph and you will understand any questions ask me
hope this helps ☺