Answer:
Step-by-step explanation:
You need to use the quadratic equation
x = 
Givens
x = 
x =( 5 +/- sqrt(25 - 12) ) / 2
x = (5 +/- sqrt(13) )/2
x = (5 + sqrt(13) / 2
x = 4.303 rounded
x = (5 - sqrt(13) ) /2
x = .6972
Answer:
14
Step-by-step explanation:
7/8 ÷ 1/16 = 7/8 × 16/1
7/8 × 16/1 = 14
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:
h = 
Step-by-step explanation:
85 = 360 + 12h
85 - 360 = 360 - 360 + 12h
- 275 = 12h
- 275 ÷ 12 = 12h ÷ 12
h = - 275/12