Answer:
16
Step-by-step explanation:
the sides may not seem to help but it dose go to the other side and try to meser it it would be 4. add 8+4+4 or 8+8=16
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
The answer should be 16 feet :]]
1. The correct answer for the problem shown above is the equation of the last option (Option D), which is shown below:
D. y=-3(x+3)^2+6
3. To verify that this is the equation of the parabola, you can give values to the variable "x" and plot each point obtained. When you do this, you obtain the graph attached.
2. Therefore, as you can see in the graph attached the vertices area (-3,6), so you can conclude that the correct answer is the option mentioned before:
D. y=-3(x+3)^2+6
Answer:
A.
Step-by-step explanation:
Given: limit of f(x) exists at x = a
To choose: the correct option
Solution:
A limit is a value that a function approaches as the input approaches some value.
means that as x approaches to value a then f(x) approaches to value L.
A limit of a function f(x) exists at x = a if ![\lim_{x\rightarrow a^-}f(x)=\lim_{x\rightarrow a^+}f(x)=L](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20a%5E-%7Df%28x%29%3D%5Clim_%7Bx%5Crightarrow%20a%5E%2B%7Df%28x%29%3DL)
So, option A. is correct.