Using the vertex of a quadratic equation, it is found that the company should charge each customer $15 per day to maximize revenue.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
The vertex is given by:
![(x_v, y_v)](https://tex.z-dn.net/?f=%28x_v%2C%20y_v%29)
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the number of bikes rented per day is given by:
n(p) = 300 - 10p.
Hence, the revenue function is given by:
R(n) = p x n(p)
R(n) = 300p - 10p².
Which is a quadratic function with coefficients a = -10, b = 300. Hence, the price in dollars that will maximize the revenue is given by:
![x_v = -\frac{300}{-20} = 15](https://tex.z-dn.net/?f=x_v%20%3D%20-%5Cfrac%7B300%7D%7B-20%7D%20%3D%2015)
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
Step-by-step explanation:
g(x) = (x - 3)²
g(-9) = (-9 - 3)²
g(-9) = (-12)²
g(-9) = 144
There are 2 different pillows, 2 different sheets and 3 different comforters.
Multiply all the choices together to find all the combinations:
Total combinations: 2 x 2 x 3 = 12
There are 12 different combinations.
Answer:
4/3
Step-by-step explanation:
If you count, because the coordinates are smaller, you will know that the y-coordinate moves up 4 spaces, and the x-coordinate moves to the right 3 spaces.