Answer:
n and (n - 1) are consecutive integers.
Step-by-step explanation:
We are given 'n', a positive integer.
This 'n' can either be odd or even.
Case I:
When 'n' is odd
The n - 1 is even.
Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.
Case II:
when 'n' is even
Then n - 1 is odd.
Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.
Answer:
3) C.
4) B.
5) C.
Step-by-step explanation:
Using the critical point concept, it is found that a = -3 and b = 7.
<h3>What are the critical points of a function?</h3>
- The critical points of a function are the values of x for which:
In this problem, the function is:
Hence, the derivative is:
Then:
Since the critical point is at x = 2, we have that:
Then:
Critical point at (2,3) means that when 
, then:
You can learn more about the critical point concept at brainly.com/question/2256078
General formula to make an equation of circle
(x - a)² + (y - b)² = r²
Given:
the center (a,b) = (-1,2)
the radius r = 3
Solution:
plug the numbers to the formula
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
The answer is the last option
