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.
Since we know that there is a 1 in 12 chance that the spinners will land on "4" and "C" and we know the total amount of spins is 240, we can find one twelfth of 240. To do so, you multiply 240 by 1/12 which is the same as 240/12. This can be simplified to 20 through division. Therefore, the answer is 20 times.
I hope this helps.<span />
Answer: Triangle ABC and Triangle ECD
Step-by-step explanation:
In Triangle ABC and Triangle ECD
BD=CD and AD=ED [given in the figure]
∠BDA=∠EDC [Vertically opposite angles are equal]
⇒ΔABC ≅ ΔECD [By SAS postulate]
SAS postulate or Side Angle Side postulate tells that if two sides and their included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
The answer is 16 units
An easy way to find the perimeter is remembering the formula of a+b+c.
So in this case, you count how many units each line of the triangle it covers. 4+6+6= 16
