I think that it's D because the y-values go from 4 and end at -8
The rational root theorem is used to determine the possible roots of a polynomial
The possible roots of g(x) are: ![\pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
The leading coefficient (p) is given as:
![p = -8](https://tex.z-dn.net/?f=p%20%3D%20%20-8)
The constant term (q) is given as:
![q= -3](https://tex.z-dn.net/?f=q%3D%20-3)
Using rational root theorem, the possible roots are:
![Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7BFactors%5C%20of%5C%20q%7D%7BFactors%5C%20of%5C%20p%7D)
The roots of p and q are:
![-8 = \pm 1, \pm 2, \pm 4, \pm 8](https://tex.z-dn.net/?f=-8%20%3D%20%5Cpm%201%2C%20%5Cpm%202%2C%20%5Cpm%204%2C%20%5Cpm%208)
![-3 = \pm 1, \pm 3](https://tex.z-dn.net/?f=-3%20%3D%20%5Cpm%201%2C%20%5Cpm%203)
So, we have:
![Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7BFactors%5C%20of%5C%20q%7D%7BFactors%5C%20of%5C%20p%7D)
Substitute known values
![Roots = \pm\frac{1,3}{1,2,4,8}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7B1%2C3%7D%7B1%2C2%2C4%2C8%7D)
Divide
![Roots = \pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
Hence, the possible roots of g(x) are: ![\pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
Read more about rational root theorem at:
brainly.com/question/10937559
An example for #1 would be that: 15 is divisible by 3, but not 9. every third multiple of 3, (9, 18, 27,...) is divisible by 9 because 9 is three times the size of 3.
For part two the first number that I thought of is 23.
Answer:
9/20
Step-by-step explanation:
45%
Change to a decimal
.45
Change to a fraction
45/100
Divide the top and bottom by 5
9/20