The break even point is when profit is equal to zero, or in this case when p(x)=0
4x^2-28x+40=0
4(x^2-7x+10)=0
4(x^2-2x-5x+10)=0
4(x(x-2)-5(x-2))=0
4(x-5)(x-2)=0
So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.
Yes as that is the function notation in play. a function of x.
Triangles ABC and ADE are similar triangles. That means the sides are all scaled by the same factor.
To go from side BC to side DE, you multiply by 1.25. That means 1.25 is your scale factor. Now apply that factor to the bottom side to get your answer.
Side AB is 6. That means side AD is 6 x 1.25 = 7.5. That means x = 7.5 - 6 = 1.5
Answer:
Option D.
Step-by-step explanation:
The area of the circular bases is:
Where
is the radius of the circle
Then
The area of the rectangle is:
Where
b is the width of the rectangle and 
is the length
Then the area of the rectangle is:
Finally the total area is:
