The y-intercept is (0, 2), because it's the spot where the line crosses the y-axis. The other point showed on the graph is the x-intercept..
Answer:
its going to be the to given points it will be the L of that
Step-by-step explanation:
Answer:
The correct answer is 4.48 feet long.
Step-by-step explanation:
The error is that you accidentally added instead of multiplying 3.2 and 1.4.
We can write that as a function:
![f(n)=(200 -20n) * (300 + 50n)\\f(n)=60000+10000n-6000n-1000n^2\\f(n)=-1000n^2+4000n+60000\\](https://tex.z-dn.net/?f=f%28n%29%3D%28200%20-20n%29%20%2A%20%28300%20%2B%2050n%29%5C%5Cf%28n%29%3D60000%2B10000n-6000n-1000n%5E2%5C%5Cf%28n%29%3D-1000n%5E2%2B4000n%2B60000%5C%5C)
where
is the number of price reductions. We can see that it is a quadratic function which has the biggest value at P = (p, q). It means that p is the number of reductions which results in the biggest profit.
![p=\frac{-b}{2a}=\frac{-4000}{-2000}=2](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B-b%7D%7B2a%7D%3D%5Cfrac%7B-4000%7D%7B-2000%7D%3D2)
It means that it's the best to make 2 price reductions for the company. The tickets should be sold for $200 - 2 * $20 = $160. It results in 2 * 50 more tickets sold which is 300 + 100 = 400.
Answer:
Ticket price: $160
Number of tickets: 400
First notice that f(x) is negative, so entire graph will be below x-axis.
Next find domain by setting what is inside sqrt greater than 0.
You can't take sqrt of neg number.
![1-x \geq 0 \\ x \leq 1](https://tex.z-dn.net/?f=1-x%20%20%5Cgeq%200%20%20%20%5C%5C%20%20x%20%20%5Cleq%201)
Finally plot some points, start at x = 1, y=0.
Then try x = 0, y = -1.
x = -3, y = -2.
Connect the points, done.