Hello!
There are about 0.26 gallons in a liter. Therefore we just multiply.
70(0.26)≈18.2.
I hope this helps!
Slope = Change in y / Change in x
= 8 - 2 / 3 - 1
= 6 / 2
= 3
Answer:40
Step-by-step explanation:
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
The order that will result in a final output of -31 when the first input is 0 is as follows; Third → Second → Fourth → First
<h3>How to find the order?</h3>
First gives;
y = -2·x + 34 = 18
Second gives;
y = -x/3 - 10 = -38/3
Third gives;
= -24
Fourth gives;
y = (x - 2)² = 36
We have after several iterations;
Third gives,
= -24
Next we input into the second to get,
y = -(-24)/3 - 10 = 24/3 - 10 = 8 - 10 = -2
Next we input into the fourth to get,
y = ((-2) - 2)² = (-4)² = 16
Next we input into the first to get,
y = -2×16 + 34 = -32 + 34 = 2
Which gives the order as follows;
Third → Second → Fourth → First
Learn more about this concept here;
brainly.com/question/17444851
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