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:
Yes I think so
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
x+y=-9
y=-x-9
So slope of original line is -1.
The line perpendicular to the original line is -1/-1 = 1
Answer:
y - 7 = (x + 5)
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Slope(m) = 1
Point: (-5, 7) = (x1, y1)
To write the equation in point-slope form, we need to know the slope and one point. Since we were already given the values of the slope and one point, all we have to do is input those values into the equation:
y - y1 = m(x - x1)
y - 7 = 1(x - (-5))
y - 7 = (x + 5)
The equation in point-slope form is: y - 7 = (x + 5)