Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
- Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.
Answer:
x=0
Step-by-step explanation:
You are given the function
To find it inverse function, express x in terms of y:
![y=e^x\\ \\\ln y=x](https://tex.z-dn.net/?f=y%3De%5Ex%5C%5C%20%5C%5C%5Cln%20y%3Dx)
Now change x into y and y into x:
![y=\ln x\\ \\f^{-1}(x)=\ln x](https://tex.z-dn.net/?f=y%3D%5Cln%20x%5C%5C%20%5C%5Cf%5E%7B-1%7D%28x%29%3D%5Cln%20x)
The graph of the function
has vertical asymptote x=0.
Answer:
sure?
Step-by-step explanation:
Answer:
Folow these steps:
find the slope:
equation for slope: y2-y1 / x2- x1
4-2 / 4-1
2/3 is the slope
y=mx+b
y=2/3x+b
Now just plug in the x and y of either point into the equation. IM using (1, 2)
2=2/3(1)+b
2=2/3+b
b=1 1/3
Now that we have the y intercept and slope, construct the equation:
y=2/3x+1 1/3
Step-by-step explanation:
The answer is 167 because 44 times 4 is 176 and 176 - 9 is 167.