Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.

Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
The correct question is
<span>Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below
</span>
Which ratio is incorrectly written to convert his speed? the picture in the attached figurewe know that
The term (5280 ft/1 mi) is incorrect
"Feet"<span> needs to be on the bottom to cancel with the previous term.
</span>"Mile"<span> needs to be on top in the numerator so that the answer can be expressed in "miles per hour"
</span>
the correct term is (1 mi/5280 ft)
<span> we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
</span><span>vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)
the answer is </span>(x+3)^2=-12(y-2)
Answer: <em>3 13/24</em>
Step-by-step explanation:
<em>First off we have an issue with the problem due to denominators not being the same</em>
<em>So we need to find a common denominator</em>
<em>The common denominator would be 24 for 6 and 8</em>
<em>Then we must multiply the numerator 1 by 4 and the numerator 3 by 3</em>
<em>Our new problem would look like</em>
<em>1 4/24 + 2 9/24</em>
<em>Now we add it all up</em>
<em>3 13/24</em>