The range of y = x2-2x + 3, - 1 less than or equal to x less than or equal to 2

The range of y = x2-2x + 3, - 1 less than or equal to x less than or equal to 2

y=x2-2x+3
=(x-1)²+2
When x = 1, there is a minimum of 2
When x = - 1, the maximum value is 6
So the range is 2 ≤ y ≤ 6

Find the range of y = x2 + 2x + 3 (known x is greater than or equal to 2 and less than or equal to 3)

y=x2+2x+3=(x+1)^2+2
-1 is not in the range X is greater than or equal to 2 and less than or equal to 3, and it is on the left side of this interval,
When x = 2, y has a minimum value of 11, and when x = 3, y has a maximum value of 18
So, the range is: 11

Find the range of y = negative (1 / 2) x2 + 2x + 1 (- 1 less than or equal to x less than or equal to 4)

Y = - 1 / 2x ^ 2 + 2x + 1 = - 1 / 2 (x ^ 2-4x) + 1 = - 1 / 2 (x ^ 2-4x + 4) + 1 + 2 = - 1 / 2 (X-2) ^ 2 + 3 because when x = 2, there is a maximum value y = 3, because the symmetry axis X = 22 - (- 1) = 3, 4-2 = 2, so - 1 is farthest from the symmetry axis, so when x = - 1, y = - 1 / 2 (- 1-2) ^ 2 + 3 = - 3 / 2, so the range is [- 3 / 2,3]

A loom weaves 168 meters in 8 / 7 hours, how many meters per hour on average

168/8/7=147

What are the integers adjacent to the natural number n plus 1?

N and N + 2, respectively
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Why are all natural numbers integers, but integers are not necessarily natural numbers? For example, 1, 2, 3, 4, 5 and so on are all natural numbers and integers, but why are integers not necessarily natural numbers? Aren't 1, 2 and 3 integers integers? If they are integers, they are also natural numbers. How can we solve them and why

Integers are divided into positive integers 0 and negative integers
The definition of natural number is positive integer and 0, collectively referred to as natural number
For example, negative integer - 8 is not a natural number, but it is an integer

The first row is 1, the second row is 2.3, the third row is 4.5.6, the fourth row is 7.8.9.10, the fifth row is 11.12.13.14.15. Which row is the number 100

1
twenty-three
four hundred and fifty-six
...
The last one in row 13 is: (1 + 13) x13 △ 2 = 91
The last one in row 14 is 91 + 14 = 105
So 100 is the ninth in row 14

Proof: if a natural number m ^ 2 can be divided by 3, then the natural number can also be divided by 3

Suppose that this number m cannot be divided by 3, let K be an integer, then M = 3K + 1 or M = 3K + 2
If M = 3K + 1, then m ^ 2 = 9K ^ 2 + 6K + 1 = 3 (3K ^ 2 + 2K) + 1, obviously cannot be divided by 3
If M = 3K + 2, then m ^ 2 = 9K ^ 2 + 12K + 4 = 3 (3K ^ 2 + 4K + 1) + 1, obviously it can not be divided by 3
So the hypothesis doesn't hold
So if a natural number m ^ 2 can be divided by 3, then the natural number can also be divided by 3

What is 56 percent?

0.56

What does it mean to write down the letters next to the given letter

Write that letter under the one given