The factored expression which represents the net change in the number of blog subscriptions over 10 months is :
- 3(11 - 7) + 4(-8)
- Hence, the net change is -20
Change : -8, 11, -7, -7, -7, -8, -8, -8, 11, 11
To factor the values in the change variable :
-7 has a frequency of 3
-8 has a frequency of 4
11 has a frequency of 3
Values having the same frequency can be factored together :
Hence, we have ;
3(11 - 7) = 3(11 - 7) = 3(4) = 12 - - - - (1)
-8 having a value of 4 can be factored thus ; 4(-8) = -32 - - (2)
Joining both equations :
3(11-7) + 4(-8)
3(11 - 7) + 4(-8)
3(4) + 4(-8)
12 + (-32)
= - 20
Therefore, the factored expression for the net change in subscription is 3(11-7) + 4(-8)
Learn more :brainly.com/question/18904995
Answer:
The system has one solution.
Step-by-step explanation:
To find the number of solutions of the system, we equal both equations for y.
If we have ax = b, in which both a and b are different of 0, we have one solution.
If both a and b are 0, we have infinite solutions.
If a is 0 and b is not, there are no solutions.
y=6/7x-8 and y=7/9x+10/9
So
![\frac{6x}{7} - 8 = \frac{7x}{9} + \frac{10}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B7%7D%20-%208%20%3D%20%5Cfrac%7B7x%7D%7B9%7D%20%2B%20%5Cfrac%7B10%7D%7B9%7D)
![\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B7%7D%20-%20%5Cfrac%7B7x%7D%7B9%7D%20%3D%20%5Cfrac%7B10%7D%7B9%7D%20%2B%208)
![\frac{54x - 49x}{63} = \frac{10}{9} + \frac{72}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B54x%20-%2049x%7D%7B63%7D%20%3D%20%5Cfrac%7B10%7D%7B9%7D%20%2B%20%5Cfrac%7B72%7D%7B9%7D)
![\frac{5x}{63} = \frac{82}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B63%7D%20%3D%20%5Cfrac%7B82%7D%7B9%7D)
![45x = 63*82](https://tex.z-dn.net/?f=45x%20%3D%2063%2A82)
Both a and b are different of 0, so the system has one solution.
First, let's find all the factors of 81:
81/3=27
27/3=9
9/3=3
3/1=1
So the factors of 81 are 3,3,3,3, (the numbers by which we divided here).
This means we can write down 81 as 3*3*3*3 or
![3^{4}](https://tex.z-dn.net/?f=%203%5E%7B4%7D%20)
- which is the answer to the question! (three to the power of 4)