Answer:
![\frac{13}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B20%7D)
Step-by-step explanation:
When you multiply 205 by 0.91 you get 186.55 and 205 minus 186.55 is 18.45
Answer:
x=-2 y=3
Step-by-step explanation:
The substitution is basically given to you. Exchange x from the second equation with y-5
Once that is done and you combine the parentheses you get:
2y-10+y=-1
Add 10 on both sides of the equal sign
You get:
3y=9
Divide both sides by 3
You get:
y=3
To check your work you can substitute y in the second equation with 3 and solve it that way to get x=-2 (x equals negative two)
Answer:
![f(x)=5120(1.25)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D5120%281.25%29%5E%7Bx%7D)
Step-by-step explanation:
As per the given question
As we know that
f(x) and x are related by following equation
![f(x)=a( {b})^{x}](https://tex.z-dn.net/?f=f%28x%29%3Da%28%20%7Bb%7D%29%5E%7Bx%7D)
where
b is the common ratio
Now first we have to compute the value for b which are as follows
![\frac{6400}{5120}= 1.25](https://tex.z-dn.net/?f=%5Cfrac%7B6400%7D%7B5120%7D%3D%201.25)
![\frac{8000}{6400}= 1.25](https://tex.z-dn.net/?f=%5Cfrac%7B8000%7D%7B6400%7D%3D%201.25)
Like if we take the ratio by this method than it comes 1.25
Therefore the common ratio, b = 1.25
So,
a = 5,120
Hence, the equation which model the relationship between the number of weeks and the number of viewers is
![f(x)=5120(1.25)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D5120%281.25%29%5E%7Bx%7D)