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:
Is there supposed to be a photo? Or attachment?
Step-by-step explanation:
Answer: C
Explanation: We need to combine like terms, which means 7a and -12a and -8 and 4
7-12=5 and -8+4=-4
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
- <em>John has × marbles </em>
John=x
- <em>Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.
</em>
We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
Answer:
x=60.56, x=-82.56
Step-by-step explanation:
Solve using quadratic formula
Formula is

0.05x^2 + 1.1x = 250
Subtract 250 on both sides
0.05x^2 + 1.1x - 250=0
a= 0.05, b=1.1 , c=-250
Plug in the values in the formula


Now make two equations , one with + and one with -
then we solve for x

x=60.56

x=-82.56