Y=-2x+8
l hope that helps
Answer:
A = -1
So, option (B) is the correct answer.
Step-by-step explanation:
The two points on line have coordinates: p (x₁, y₁) = (0, A) and q(x₂, y₂) = (2 , -3)
Slope of line = A
Slope of line = ![\frac{y_{2} - y_{1}}{x_{2} -x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-x_%7B1%7D%7D)
Now since the slope of line is A and its has two coordinates (0, A) and (2 , -3), ∴
![A = \frac{y_{2} - y_{1}}{x_{2} -x_{1}}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-x_%7B1%7D%7D)
![A = \frac{-3 - A}{2 - 0}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B-3%20-%20A%7D%7B2%20-%200%7D)
![2A = -3 - A](https://tex.z-dn.net/?f=2A%20%3D%20-3%20-%20A)
![2A + A = -3](https://tex.z-dn.net/?f=2A%20%2B%20A%20%3D%20-3)
![3A = -3](https://tex.z-dn.net/?f=3A%20%3D%20-3)
![A = -1](https://tex.z-dn.net/?f=A%20%3D%20-1)
So, option (B) is the correct answer.
Answer:
-45
Step-by-step explanation:
The question is asking for the sum of the sequence. Therefore, there is no such thing as a "radians" answer.
When you evaluate the sum, you should get -45 as your answer. To find so, you simply plug in 1 as <em>n</em> and other numbers then add the result.
What this is asking is for you to plug values into the following function:
![f(x)=\frac{3x-8}{6x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-8%7D%7B6x%7D)
Since the question is asking you to find
![f(3)-f(1)](https://tex.z-dn.net/?f=%20f%283%29-f%281%29%20)
, this is how you work it out:
You take the function;
![f(x)=\frac{3x-8}{6x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-8%7D%7B6x%7D)
And plug the numbers indicated in for x;
![f(x)=\frac{3x-8}{6x}\\ f(3)=\frac{3(3)-8}{6(3)}\\ f(3)=\frac{9-8}{18}\\ f(3)=\frac{1}{18}\\\\ f(1)=\frac{3(1)-8}{6(1)}\\ f(1)=\frac{3-8}{6}\\ f(1)=\frac{-5}{6}\\\\ Now\ what\ you\ do\ is\ you\ subract\ f(3)\ and\ f(1).\\ f(3)-f(1)\\ f(3)-f(1)=\frac{1}{18}-\frac{-5}{6}\\ f(3)-f(1)=\frac{1}{18}-\frac{-15}{18}\\ f(3)-f(1)=\frac{1+15}{18}\\ f(3)-f(1)=\frac{16}{18}=\frac{8}{9}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-8%7D%7B6x%7D%5C%5C%0Af%283%29%3D%5Cfrac%7B3%283%29-8%7D%7B6%283%29%7D%5C%5C%0Af%283%29%3D%5Cfrac%7B9-8%7D%7B18%7D%5C%5C%0Af%283%29%3D%5Cfrac%7B1%7D%7B18%7D%5C%5C%5C%5C%0Af%281%29%3D%5Cfrac%7B3%281%29-8%7D%7B6%281%29%7D%5C%5C%0Af%281%29%3D%5Cfrac%7B3-8%7D%7B6%7D%5C%5C%0Af%281%29%3D%5Cfrac%7B-5%7D%7B6%7D%5C%5C%5C%5C%0ANow%5C%20what%5C%20you%5C%20do%5C%20is%5C%20you%5C%20subract%5C%20f%283%29%5C%20and%5C%20f%281%29.%5C%5C%0Af%283%29-f%281%29%5C%5C%0Af%283%29-f%281%29%3D%5Cfrac%7B1%7D%7B18%7D-%5Cfrac%7B-5%7D%7B6%7D%5C%5C%0Af%283%29-f%281%29%3D%5Cfrac%7B1%7D%7B18%7D-%5Cfrac%7B-15%7D%7B18%7D%5C%5C%0Af%283%29-f%281%29%3D%5Cfrac%7B1%2B15%7D%7B18%7D%5C%5C%0Af%283%29-f%281%29%3D%5Cfrac%7B16%7D%7B18%7D%3D%5Cfrac%7B8%7D%7B9%7D)
So the answer to f(3) - f(1) =
Answer: 21450
Step-by-step explanation:
That is the initial price.