<em>Question No 7</em>
Answer:
Please check the explanation.
Step-by-step explanation:
Show that 4x - x² - 7 is always negative.
Given
4x - x² - 7
4x - x² - 7 is always negative because:
- -x²-7 will alwas be negative for all the values of x,
- The value of - x² - 7 will always be less than 4x for all the values of x
Hence, 4x - x² - 7 is always negative
For example,
let suppose we enter x = 1
![4(1)-1^{2} -7\\=4-1-7\\=4-8\\=-4](https://tex.z-dn.net/?f=4%281%29-1%5E%7B2%7D%20-7%5C%5C%3D4-1-7%5C%5C%3D4-8%5C%5C%3D-4)
let suppose we enter x = -1
![4(-1)-(-1)^{2} - 7\\= -4 - 1 - 7\\= -12](https://tex.z-dn.net/?f=4%28-1%29-%28-1%29%5E%7B2%7D%20-%207%5C%5C%3D%20-4%20-%201%20-%207%5C%5C%3D%20-12)
9514 1404 393
Answer:
{-8, -4, -2, -1, 1, 2, 4, 8}
Step-by-step explanation:
Possible rational roots are positive and negative divisors of the constant 8:
{-8, -4, -2, -1, 1, 2, 4, 8}
_____
<em>Additional comment</em>
This polynomial has no rational roots. Its two real roots are both negative and irrational.
(74-62)/8=3/2=1.5
Thank you hope this helps
No of red marbles = 5
Total number of marbles =14
By using probability formula,
P(E)= Number of favorable outcome /
Total number of outcomes
P(E)= 5/14
I hope that was useful ☻