Your answer would be B) 3/11, hope this helps!
Remember there are 11 muffins in the bag
Answer:
![-13x-23](https://tex.z-dn.net/?f=-13x-23)
Step-by-step explanation:
Given sequence: ![x-9, -x-11, -3x-13](https://tex.z-dn.net/?f=x-9%2C%20-x-11%2C%20-3x-13)
Therefore,
General form of an arithmetic sequence: ![a_n=a+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-1%29d)
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:
![\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dd%20%26%20%3Da_2-a_1%5C%5C%20%26%20%3D%28-x-11%29-%28x-9%29%5C%5C%20%26%20%3D%20-x-11-x%2B9%5C%5C%20%26%20%3D%20-2x-2%5Cend%7Baligned%7D)
Therefore,
![a_n & =(x-9)+(n-1)(-2x-2)](https://tex.z-dn.net/?f=a_n%20%26%20%3D%28x-9%29%2B%28n-1%29%28-2x-2%29)
To find the 6th term, input n = 6 into the equation:
![\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20a_6%20%26%20%3D%28x-9%29%2B%286-1%29%28-2x-2%29%5C%5C%20%26%20%3D%20%28x-9%29%2B7%28-2x-2%29%5C%5C%20%26%20%3D%20x-9-14x-14%5C%5C%20%26%20%3D%20-13x-23%5Cend%7Baligned%7D)
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the statement data we have:
![m = - \frac {1} {5}\\y = -11](https://tex.z-dn.net/?f=m%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B5%7D%5C%5Cy%20%3D%20-11)
So, the equation is of the form:
![y = - \frac {1} {5} x-11](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B5%7D%20x-11)
Answer:
![y = - \frac {1} {5} x-11](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B5%7D%20x-11)
X > 4
divide 6 on both sides hence 24/6 = 4