The square of an odd number is always odd Try Examples with three odd numbers to check this conjecture And find where it’s false

Do you believe it’s true or false

Explain why it’s true or false

True

Step-by-step explanation:

3² = 9  ⇒ odd

7² = 49 ⇒ odd

9² = 81 ⇒ odd

Therefore, the square of an odd number is always odd.

Proof

If n is an odd number, it can be written as n = 2k + 1, for some integer k.

Therefore, n² = (2k + 1)²

                      = 4k² + 4k + 1

                      = 2(2k² + 2k) + 1

As 2(2k² + 2k) + 1 is odd, this proves that the square of an odd number is always odd.

a negative exponent is translated as follows:

so, we have

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic