Answer:
Therefore the population will be maximum when x=30 inches.
Step-by-step explanation:
Given that, the mosquito population is a function of rainfall and can be approximated by the formula

where x is the number of inches of rainfall.

Differentiating with respect to x

Again differentiating with respect to x

Now we set N'(x)=0





Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.
Therefore the population will be maximum when x=30 inches.
Answer:
11) x = 45
12) x = 30
Step-by-step explanation:
11)
3x + x = 180
4x = 180
x = 45
12)
4x = 5x - 30
4x - 5x = -30
-x = -30
x = 30
7,000 and 7 hope this helped
Answer: (5,0)
Step-by-step explanation:
x - 3y =5 -----------(1)
2x + y = 10 ----------(2)
By elimination method, multiply eqn(1) by 2
2x - 6y = 10 ------------(3)
eqn(3) - eqn(2)
-7y = 0
Divide bothside by -7
y= 0
Now, we substitute the value of y in eqn(1)
x - 3(0) = 5
x - 0 = 5
x=5
Therefore,x=5 and y=0
Y= 2x-3/4
M is the slope
B is the y-intercept