n is an integer, so 2n+1 is also an integer. 8s+1 is equal to the square of 2n+1, so it's a square number.
2n+1 is an odd integer for any value of n. The square of an odd integer is always an odd integer. Therefore 8s+1=(2n+1)² is odd.
8s+1 is an odd square number.
Answer:
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Step-by-step explanation:
Answer:
x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12
Step-by-step explanation:
(x ^4 - 3x^3 + 3x^2 - 3x + 6) (x - 2)
Distribute the x to all the terms in the first parentheses
(x^ 4 *x - 3x^ 3 *x + 3x^ 2 *x - 3x *x + 6*x)
Then simplify
(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x)
Distribute the -2 to all the terms in the first parentheses
(x^ 4 *(-2) - 3x^ 3 *(-2) + 3x^ 2 *(-2) - 3x *(-2) + 6*(-2))
Then simplify
(-2x^4 +6x^3 -6x^ 2 +6x -12)
Add the terms together
(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x) +(-2x^4 +6x^3 -6x^ 2 +6x -12)
x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12
Consider the below figure attached with this question.
Given:
To find:
The number of line that represents the solution of given inequality.
Solution:
We have,
Subtracting 6 from both sides, we get
If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.
Divide both sides by -4.
The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.
So, there is an open circle at x=-3 on the number and an arrow from -3 towards left.
Therefore, the correct option is A.
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