56 for 3 is the lowest price
-x - 9

You want to get x by itself.
First subtract 9 from both sides of the equation.
-x - 9

+9 +9
-x

Then divide -1 on both sides.
-x/-1

I'm pretty sure when you divide a negative number when solving inequalities, you switch the sign.
x
Answer:
1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.
2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
3. The expected profit on 375 policies would be 375 * 185 = $69375
Step-by-step explanation:
Answer:

Step-by-step explanation:
The first thing that I noticed was that all of the terms had a common factor of
. You can therefore factor that out first:

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

Hope this helps!
I'm assuming you mean
, not
, like your prompt suggests.
First, let's figure out what rule we can use. A likely noticeable one is the Power Rule, which says the following:
![\dfrac{d}{dx} [u^a] = a(u)^{a-1} du](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%20%5Bu%5Ea%5D%20%3D%20a%28u%29%5E%7Ba-1%7D%20du)
Applying this, we can solve for the derivative:

While you can simplify the expression to your liking, I believe that this form is not overly complex and will thus leave it as is.
Thus, our answer is:
