Answer:
equation: y=-4x-7
Step-by-step explanation:
y=-4x+b
solve for b using given coordinates on the line (-3, 5)
5=-4(-3)+b
b=-7
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:
F(x) = 17x^2 - 13x + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Quadratic equations of the form (x - h)^2 + k = 0 can be solved using square roots: Take the square root of both sides, prefacing the right side with " ± "
Answer: (2,-16)
Step-by-step explanation: you have to rewrite it by using the vertex form (h,k)