Answer:
Step-by-step explanation:
The first mathematician orders 1 beer, the second orders 1/2 a beer, the third orders 1/4 a beer, the fourth orders 1/8 a beer, the fifth orders 1/16 a beer. . .
- The Sequence is:
![1,\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16} \cdots](https://tex.z-dn.net/?f=1%2C%5Cfrac%7B1%7D%7B2%7D%2C%20%5Cfrac%7B1%7D%7B4%7D%2C%20%5Cfrac%7B1%7D%7B8%7D%2C%20%5Cfrac%7B1%7D%7B16%7D%20%5Ccdots)
- On observation, the next term is derived through the division of the previous term by 2.
- 2 is the constant factor
- Therefore, the bartender says 'Fine, I’ll just pour you two beers.'
Therefore, if the first mathematician orders 6 beers, the second orders 2 beer, the third orders 2/3 a beer, and so on
- The sequence is
![6,2,\frac{2}{3}, \cdots](https://tex.z-dn.net/?f=6%2C2%2C%5Cfrac%7B2%7D%7B3%7D%2C%20%5Ccdots)
- On observation, the next term is derived through the division of the previous term by 3.
- 3 is the constant factor
- Therefore, the bartender should pour three beers.
Use the distributive property:
![a(c+b)=ab+ac](https://tex.z-dn.net/?f=a%28c%2Bb%29%3Dab%2Bac)
And
![a^n\cdot a^m=a^{n+m}\\\\a=a^1](https://tex.z-dn.net/?f=a%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5Ca%3Da%5E1)
Answer:
maximum
vertex at (-1,1)
axis of symm: x = -1
2 solutions
(-2,0) and (0,0)
Step-by-step explanation:
I believe
30% is bigger than
![\frac{4}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B15%7D%20)
.
To find the answer, you'd have to convert both the fraction and the percent into decimal form to see which one is truly bigger. Converting the percent is fairly easy. 30% would become 0.30 is decimal form. To find the fraction in decimal form, you'd have to divide the numerator by the denominator, which would be
4 ÷ 15, which makes :
2.6666666666666666666666667.
Now you compare easily. Which one is bigger?
2.666666666666666666666667 or
0.30?
0.30 is bigger. So 30% is bigger out of both of them.