Remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube
remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3
all of them should be perfect cubes
215x^18y^3z^21
split them up to see which ones need changing
215=5*43, not a perfect cube
could be changed to 6^3, which is 216
x^18=(x^6)^3
y^3=y^3
z^21=(z^7)^3
the 215 needs to be changed
Answer:
I think the answer is C
Step-by-step explanation:
If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%
To solve the quadratic equation given by 0=x^2-9x-20, we use the quadratic formula given by:
x=[-b+\- sqrt(b^2-4ac)]/(2a)
where,
a=1,b=-9,c=-20
thus substituting the above values into our formula we get:
x=[9+\-sqrt(9^2-4(-20*1))/(2*1)
x=[9+\-sqrt(161)]/2
x=[9+sqrt161]/2 or x=[9-sqrt161]/2
Answer:
25 people are not from Germany or France.
Step-by-step explanation:
1. You first want find out what is the number of people from Germany.
So you would find...
2/5 of 75
or
2/5*75= 30 people from Germany
2. Next you want to to find out the number of people from France.
So you would do the following...
75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)
4/9 of 45 to find the number of people from France.
4/9 *45= 20
3. Lastly you need to find the people who are from neither of the countries listed above.
Add 30+20= 50
Then subtract that number from 75.
75-50= 25 people who are from neither France or Germany.
Voila! This is your answer. Hope this helps! :)
Answer:
Option C
Step-by-step explanation:
A function g(x) = x² has been given as the parent function.
This function then shifted 5 units down.
Translated function formed will be f(x) = x² - 5
Further this graph has been shifted 4 units to the left then the function will become
f(x) = [x - (-4)]² - 5
f(x) = (x + 4)² - 5
Therefore, option C is the answer.