Answer:1124
Step-by-step explanation:
Answer: -4/7
Step-by-step explanation:
To find the slope, let's change the equation to slope-intercept form.
[subtract both sides by 4x]
[divide both sides by 7]

Now, we know the slope is -4/7.
Answer:
In a decimal it would be 177.577
In a fraction it would be 177 577/1000
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.