Answer:
Given
x+y+z=0
⟹x+y=−z
Cubing on both sides
(x+y) 3 =(−z) 3
⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3
⟹x 3 +y 3 +3xy(x+y)=−z 3
⟹x 3+y 3+3xy(−z)=−z 3
⟹x 3 +y 3−3xyz=−z 3
⟹x 3 +y 3 +z 3 =3xyz
Step-by-step explanation:
Hope it is helpful.....
Answer:
reading, chores, and then homework
Step-by-step explanation:
just accept it
ceiling(700/40) = ceiling(17.5) = 18 . . . . ceiling(x) is the smallest integer ≥ x.
The smallest integer multiple of 40 that is larger than 700 is 18.
The number of packages of buns will be 18*5 = 90.
The number of packages of hotdogs will be 18*4 = 72.
_____
These numbers will ensure that you have 20 bun/hotdog combinations left over. If you want to minimize leftovers, you would use 88 packages of buns and 70 packages of hotdogs. That would give you 4 buns and no hotdogs left over.
Answer:
650
Step-by-step explanation:
475+375-65-135=650
Answer:
8. ![\displaystyle \frac{9[x + 5]}{x - 14}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B9%5Bx%20%2B%205%5D%7D%7Bx%20-%2014%7D)
7. ![\displaystyle -\frac{2x - 1}{2[3x - 5]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2x%20-%201%7D%7B2%5B3x%20-%205%5D%7D)
6. ![\displaystyle \frac{2[x - 4]}{5[x + 3]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B2%5Bx%20-%204%5D%7D%7B5%5Bx%20%2B%203%5D%7D)
5. 
4. 
Step-by-step explanation:
All work is shown above from 8 − 4.
I am joyous to assist you anytime.
