Answer:
There are no real roots for this equation.
Step-by-step explanation:
The only solution is irrational: x-√(4-8x)=0
I have provided a graph to help you with this problem.
Hope this helps! :)
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:
The vertex is given by:
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:
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
Answer:
b = 2 or b = 7
Step-by-step explanation:
b/(b-7) - 2/b = 7/ (b-7)
b * b - 2(b - 7) = 7 * b
b^2 - 2b + 14 = 7b
b^2 - 9b + 14 = 0
(b - 2)(b - 7) = 0
b - 2 = 0; b = 2
b - 7 = 0; b = 7
Answer
b = 2 or b = 7