For this case, we must indicate which of the given functions is not defined for
By definition, we know that:
has a domain from 0 to infinity.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.
Thus, we observe that:
is not defined, the term inside the root is negative when .
While 
if it is defined for 
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
, your domain is given by all real numbers.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root.
So, we have:
![y = \sqrt [3] {x-2}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%5B3%5D%20%7Bx-2%7D)
with x = 0: ![y = \sqrt [3] {- 2}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%5B3%5D%20%7B-%202%7D)
is defined.
![y = \sqrt [3] {x + 2}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%5B3%5D%20%7Bx%20%2B%202%7D)
with x = 0: ![y = \sqrt [3] {2}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%5B3%5D%20%7B2%7D)
in the same way is defined.
Answer:
Option b
Answer:
6 dollars per dozen
Step-by-step explanation:
This is a fraction equal to
6 dollars ÷ 1 dozen
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
6 dollars ÷ 1
1 dozen ÷ 1
=
6 dollars
1 dozen
=
6 dollars
dozen
= 6 dollars per dozen
Answer:
120
Step-by-step explanation:
supplementary equal up 180
Answer:
y=1
Step-by-step explanation:
you can use those points to find the slope
use the equation 
then plug in the numbers
so (1-1)/(-8-7) = 0/15 so the slope is zero meaning it is a horizontal line which we can tell logically because the y coordinates of both points are 1.
so if you plug those numbers into the formula y=mx+b where m is slope and b is the y intercept then
you get y=0*x+1
then 0*x is just zero and it goes away so the equation for this line is y=1
Hope this helps! :)
Answer:
11 bottles
Step-by-step explanation:
make a proportion because if you're using the same rate proportions can show that it's equal
cross multiply
divide the answer by 90 to find x
round to 11 because you can't have 10.8 bottles
