Answer:
a) x = 26
b) (3 units right, 1 unit down)
Step-by-step explanation:
(a)
![12\sqrt[3]{x+1} =36](https://tex.z-dn.net/?f=12%5Csqrt%5B3%5D%7Bx%2B1%7D%20%3D36)
Divide both sides by 12:
![\implies \sqrt[3]{x+1} =3](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%5B3%5D%7Bx%2B1%7D%20%3D3)
Cube both sides:
![\implies x+1 =3^3](https://tex.z-dn.net/?f=%5Cimplies%20x%2B1%20%3D3%5E3)
![\implies x+1 =27](https://tex.z-dn.net/?f=%5Cimplies%20x%2B1%20%3D27)
Subtract 1 from both sides:
![\implies x=26](https://tex.z-dn.net/?f=%5Cimplies%20x%3D26)
(b)
![h(x)=g(x-3)+1](https://tex.z-dn.net/?f=h%28x%29%3Dg%28x-3%29%2B1)
translation of ![\left(\begin{array}{ccc}3\\1\end{array}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C1%5Cend%7Barray%7D%5Cright%29)
(3 units right, 1 unit down)
<u>Answer:</u>
The answer is $249.60
<u>Step-by-step explanation:</u>
This is a simple question. Firstly you will take the total cost and multiply it by 0.22. The answer to this is 70.4. Take that and subtract it from the total cost because 70 is the discount price. Once subtracted you will get 249.6. In conclusion, the sale price of the item is $249.60.
P.S. I hope this answer helped you in some way or another. If you have any questions you can ask them to me and I will be happy to help you out. I also wanted to add that I have a channel called The Game Rater or soon to be Nitro Studios (based on when you see this). I would really appreciate it if you could check out my channel. If not, I hope this answer helped you and I still appreciate you reading this side note. Thank you.
<h2><em>-Nitroid444</em></h2>
Answer:
169,344
Step-by-step explanation:
Data provided in the question
Different fruits = 8
Different vegetables = 9
There is only room for 6 items
Based on the above information, the number of ways for an equal number of fruits & veggies is
For the number of combinations of fruit is
![= 8\times7\times6](https://tex.z-dn.net/?f=%3D%208%5Ctimes7%5Ctimes6)
For the number of combinations of vegetables is
![= 9\times8\times7](https://tex.z-dn.net/?f=%3D%209%5Ctimes8%5Ctimes7)
So, the total combinations are
![= 9\times8\times8\times7\times7\times6](https://tex.z-dn.net/?f=%3D%209%5Ctimes8%5Ctimes8%5Ctimes7%5Ctimes7%5Ctimes6)
= 169,344
There are 1,000,000 milliliters in one liter