Answer:
y = 1/40x + 20
Step-by-step explanation:
Slope-intercept equation format:
y = mx + b
m = slope/ gradient/ constant of variation/ rate of change
b = y-intercept
To find the slope, use the formula:
![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Find two random points:
1 - (0.5, 40) , 2 - (1, 60)
Plug in:
![\frac{60-40}{1-0.5}](https://tex.z-dn.net/?f=%5Cfrac%7B60-40%7D%7B1-0.5%7D)
Solve:
![\frac{20}{0.5}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B0.5%7D)
Divide:
![\frac{1}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B40%7D)
The y-intercept is when the x-coordinate is equal to 0.
The y-intercept is always the beginning.
So observing the graph, the first point is (0, 20)
The x-coordinate is 0.
Y intercept = 20.
Plug in both slope and y-intercept:
y = 1/40x + 20
Answer:3.72
Step-by-step explanation:
80x.465 is the equation
Using Vieta's Theorem, it is found that c = 72.
<h3>What is the Vieta Theorem?</h3>
- Suppose we have a quadratic equation, in the following format:
![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
The Theorem states that:
![p + q = -\frac{b}{a}](https://tex.z-dn.net/?f=p%20%2B%20q%20%3D%20-%5Cfrac%7Bb%7D%7Ba%7D)
![pq = \frac{c}{a}](https://tex.z-dn.net/?f=pq%20%3D%20%5Cfrac%7Bc%7D%7Ba%7D)
In this problem, the polynomial is:
![x^2 - 17x + c](https://tex.z-dn.net/?f=x%5E2%20-%2017x%20%2B%20c)
Hence the coefficients are
.
Since the difference of the solutions is 1, we have that:
![p - q = 1](https://tex.z-dn.net/?f=p%20-%20q%20%3D%201)
![p = 1 + q](https://tex.z-dn.net/?f=p%20%3D%201%20%2B%20q)
Then, from the first equation of the Theorem:
![p + q = -\frac{b}{a}](https://tex.z-dn.net/?f=p%20%2B%20q%20%3D%20-%5Cfrac%7Bb%7D%7Ba%7D)
![1 + q + q = 17](https://tex.z-dn.net/?f=1%20%2B%20q%20%2B%20q%20%3D%2017)
![2q = 16](https://tex.z-dn.net/?f=2q%20%3D%2016)
![q = 8](https://tex.z-dn.net/?f=q%20%3D%208)
![p = 1 + q = 9](https://tex.z-dn.net/?f=p%20%3D%201%20%2B%20q%20%3D%209)
Now, from the second equation:
![pq = \frac{c}{a}](https://tex.z-dn.net/?f=pq%20%3D%20%5Cfrac%7Bc%7D%7Ba%7D)
![72 = c](https://tex.z-dn.net/?f=72%20%3D%20c)
![c = 72](https://tex.z-dn.net/?f=c%20%3D%2072)
To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978
Rupees 937.36
think it's right
Answer:
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