Answer:
Step-by-step explanation:
Let us assume that if possible in the group of 101, each had a different number of friends. Then the no of friends 101 persons have 0,1,2,....100 only since number of friends are integers and non negative.
Say P has 100 friends then P has all other persons as friends. In this case, there cannot be any one who has 0 friend. So a contradiction. Hence proved
Part ii: EVen if instead of 101, say n people are there same proof follows as
if different number of friends then they would be 0,1,2...n-1
If one person has n-1 friends then there cannot be any one who does not have any friend.
Thus same proof follows.
6a³-18a²-1620a
Collect 6a:
6a(a²-3a-270)
6a(a-18)(a+15)
Answer:
Option (1)
Step-by-step explanation:
Two functions 'f' and 'g' have been graphed in the picture attached.
Both the functions will be equal at the points where the values of these functions are equal.
Those points are the point of intersection of both the functions on the given graph.
At x = -4,
f(-4) = g(-4) = 4
At x = 0,
f(0) = g(0) = 4
Therefore, Option (1) will be the answer.
With a square, all you need to do to find the length of one side is to divide the perimeter by 4. If it is the area you are calculating, then you need to find the square root. For that equation the answer is 24.
Answer:
There are many examples the basics are also easy to remember.
Step-by-step explanation:
We can input these for the following equation.
x > 5
(x is greater than 5)
Then compare to - x < 5
(minus x is less than 5)
We try a sum
3x -2 ≤ 1
we can then balance subtract -2
3x ≤ -1
then divide by 3
x= -1 /3
We try another value
3x -2 ≤ 0
1 ≤ 3x
1/3 ≥ x
We can check that each equality fits and alter the number accordingly.
For the first one we are saying it is no greater than 1
For the second we say it is greater than zero.
We are able to prove both have the answer.
Just like when we look for negative percentages and count down we record this as we count in mental math.
