To determine the number of years when the company will breakeven, we use the equation given. At the breakeven point, the company has no profit and loses. So, we P(x) = 0. We calculate as follows:
<span>P(x) = x3 – 4x2 + 3x – 12
0 = </span>x^3 – 4x^2 + 3x – 12
x = 4 , 1.732i, -1.732i
Solving for x, we will have three value one real and 2 imaginary values. Since time cannot be negative and imaginary. The answer would be 4. After 4 years, the company will break even.
Answer:
Step-by-step explanation:
The identities you need here are:
and 
You also need to know that
x = rcosθ and
y = rsinθ
to get this done.
We have
r = 6 sin θ
Let's first multiply both sides by r (you'll always begin these this way; you'll see why in a second):
r² = 6r sin θ
Now let's replace r² with what it's equal to:
x² + y² = 6r sin θ
Now let's replace r sin θ with what it's equal to:
x² + y² = 6y
That looks like the beginnings of a circle. Let's get everything on one side because I have a feeling we will be completing the square on this:

Complete the square on the y-terms by taking half its linear term, squaring it and adding it to both sides.
The y linear term is 6. Half of 6 is 3, and 3 squared is 9, so we add 9 in on both sides:

In the process of completing the square, we created within that set of parenthesis a perfect square binomial:

And there's your circle! Third choice down is the one you want.
Fun, huh?
Answer:
there you go
Step-by-step explanation:
The length of a train car is 50.6 feet. This is 5.8 feet less than 6 times the width. What is the width?
l = 50.6
We are also given:
6w - 5.8 = 50.6
What are the constraints?
When you graph the constraints the four points you can use are (0,0), (10,0), (0,2), and (6,2).
(10,0) is the point that gives you the maximum value which is 40.
The census is 60 because it’s obviously when you divided