Answer:
![\frac{4}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B9%7D)
Step-by-step explanation:
To find this probability, we have to know:
- How many numbers are there in between 5 and 8 inclusive?
- How many total numbers are there?
We simply divide the first answer by the second one and get our probability.
So, the numbers are 5,6,7,8 ----- that is 4 numbers
How many numbers are there in total? That is:
0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 ------- 9 numbers
Thus, the probability is 4/9
Answer:
-22 + (-16)= -38
Step-by-step explanation:
The answer is B.
The attached file is how I got the answer.
Hope this helped :)
Answer:
![\frac{dy}{dx} = 24 x + 21](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%2024%20x%20%2B%2021)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get
![\frac{dy}{dx} = 12 (2x) +21 (1)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%2012%20%282x%29%20%2B21%20%281%29)
![\frac{dy}{dx} = 24 x + 21](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%2024%20x%20%2B%2021)