So you would put 9 in for both of the D’s . Which would be 3(9) + 9^2. You will simply it and it’ll be 27+81 which is 108. THE ANSWER IS 108
Answer:
![\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D-%20%5Cdfrac%7B1%7D%7B%5Cleft%28x%20-%201%5Cright%29%20%5Cleft%28x%20%2B%201%5Cright%29%7D)
Step-by-step explanation:
Given:
![y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}](https://tex.z-dn.net/?f=y%20%3D%20%5Cln%7B%5Cleft%28%5Cdfrac%7Bx%20%2B%201%7D%7Bx%20-%201%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
using the properties of log we can take the power 1/2 and multiply it.
![y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Cln%7B%5Cleft%28%5Cdfrac%7Bx%20%2B%201%7D%7Bx%20-%201%7D%5Cright%29)
now we can differentiate:
![\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Cdfrac%7B1%7D%7B%5Cleft%28%5Cdfrac%7Bx%20%2B%201%7D%7Bx%20-%201%7D%5Cright%29%7D%5Cleft%28%5Cdfrac%7Bd%7D%7Bdx%7D%5Cleft%28%5Cdfrac%7Bx%2B1%7D%7Bx-1%7D%5Cright%29%5Cright%29)
![\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Cleft%28%5Cdfrac%7Bx%20-%201%7D%7Bx%20%2B%201%7D%5Cright%29%5Cleft%28-%20%5Cdfrac%7B2%7D%7B%5Cleft%28x%20-%201%5Cright%29%5E%7B2%7D%7D%5Cright%29)
![\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D-%20%5Cdfrac%7B1%7D%7B%5Cleft%28x%20-%201%5Cright%29%20%5Cleft%28x%20%2B%201%5Cright%29%7D)
this is our answer!
Answer:
MAKE MY ANSWER BRILLINEST PLEASE:)
Step-by-step explanation:
LET:
j = the points that Jessica scored
t = the points that Tina scored
Jessica scored 147 more points than Tina:
j = t + 1497
Together, Bradley and Harner scored 1601 points:
j + t = 1601
by solving the system of equations:
j = t + 147
j + t = 1601
we find
j = 856 points
t = 707 points
Jessica Bradley scored 856 point.
Tina Harner scored 707 points.
Step-by-step explanation:
We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.
Cheers!
Answer:
![Possible\ Answers = 4096](https://tex.z-dn.net/?f=Possible%5C%20Answers%20%3D%204096)
Step-by-step explanation:
Given
each
Required
Determine the number of possible answers
<em>The first question has 4 possible answers</em>
<em>The second has 4 possible answers</em>
<em>The third has 4 possible answers</em>
<em>The fourth question has 4 possible answers</em>
<em>The fifth has 4 possible answers</em>
<em>The sixth question has 4 possible answers</em>
<em />
![Possible\ Answers = 4 * 4 * 4 * 4 * 4 * 4](https://tex.z-dn.net/?f=Possible%5C%20Answers%20%3D%204%20%2A%204%20%2A%204%20%2A%204%20%2A%204%20%2A%204)
![Possible\ Answers = 4^6](https://tex.z-dn.net/?f=Possible%5C%20Answers%20%3D%204%5E6)
![Possible\ Answers = 4096](https://tex.z-dn.net/?f=Possible%5C%20Answers%20%3D%204096)