Answer:
The roots are real and distinct.
Step-by-step explanation:
Given the following equation:
![x^{2} + kx - k -2 =0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20kx%20-%20k%20-2%20%3D0)
In this problem, a = 1, b = k and c = -k - 2
The discriminant is b² - 4ac, and for the roots to be real and distinct, it must be at least or greater than 0.
We get,
(k)²- 4(1)(-k - 2) = 1 - 4(-k - 2)
= k² + 4k + 8
Let's check:
At k = -2,
![(-2)^{2} + 4(-2) + 8 = 4 - 8 + 8 = 4 ](https://tex.z-dn.net/?f=%28-2%29%5E%7B2%7D%20%2B%204%28-2%29%20%2B%208%20%3D%204%20-%208%20%2B%208%20%3D%204%0A%0A%0A)
At k = 0,
![(0)^2 + 4(0) + 8 = 8](https://tex.z-dn.net/?f=%280%29%5E2%20%2B%204%280%29%20%2B%208%20%3D%208%20)
At k = -100,
![(-100)^2 + 4(-100) + 8 = 10,000 - 400 + 8 = 9608](https://tex.z-dn.net/?f=%28-100%29%5E2%20%2B%204%28-100%29%20%2B%208%20%3D%2010%2C000%20-%20400%20%2B%208%20%3D%209608)
Therefore, we can conclude that for all values of k, the roots are real and distinct.
This has been a long way in answering this question, so it would be great if you could mark me as brainliest
200 ounces. because each pound has 16 ounces and 12.5 pounds has 200 ounces
Answer:
3
Step-by-step explanation:
You divide 27 ÷ 9 = 3 I believe
36
List the numbers
31,34,34,35,37,38,38,39
Mark out one from each side till you get 37 and 35 average them to get your answer