The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.
For this case we have that by definition, the equation of a line in the point-slope form is given by:
![(y-y_ {0}) = m (x-x_ {0})](https://tex.z-dn.net/?f=%28y-y_%20%7B0%7D%29%20%3D%20m%20%28x-x_%20%7B0%7D%29)
Where:
: It is a point through which the line passes
m: It's the slope
We have according to the graph, that the line goes through:
![(x_ {1}, y_ {1}): (- 2, -1)\\(x_ {2}, y_ {2}) :( 2,1)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%3A%20%28-%202%2C%20-1%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%20%3A%28%202%2C1%29)
We found the slope:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {1 - (- 1)} {2 - (- 2)} = \frac {1 +1} {2 + 2} = \frac {2} {4} = \frac {1} {2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B1%20-%20%28-%201%29%7D%20%7B2%20-%20%28-%202%29%7D%20%3D%20%5Cfrac%20%7B1%20%2B1%7D%20%7B2%20%2B%202%7D%20%3D%20%5Cfrac%20%7B2%7D%20%7B4%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D)
Thus, the line is of the form:
![(y-y_ {0}) = \frac {1} {2} (x-x_ {0})](https://tex.z-dn.net/?f=%28y-y_%20%7B0%7D%29%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%28x-x_%20%7B0%7D%29)
We substitute a point:
![(y-1) = \frac {1} {2} (x-2)](https://tex.z-dn.net/?f=%28y-1%29%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%28x-2%29)
Answer:
![(y-1) = \frac {1} {2} (x-2)](https://tex.z-dn.net/?f=%28y-1%29%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%28x-2%29)
Answer:
![\frac{-17}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B-17%7D%7B9%7D)
Step-by-step explanation:
You're not using the f(x) function for this problem.
Let's look at what the problem is asking. It says you must evaluate the function g(x) for 1/3. Basically, this means you plug in 1/3 every time there is an x.
So, your new equation is:
g(
) =(
)^2 - 2
(
)^2 = ![\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D)
To subtract two from this, you need a common denominator. This means we need to get -2 to have a denominator of 9. Multiply the numerator and denominator (1) by 9 to get
.
Then, subtract.
= -17/9.
Im not understanding your question. Are you asking for how many points are earned per ball tossed