Answer:
See explanation
Step-by-step explanation:
You are given the equation of the curve
Point 
lies on the curve.
Point 
is an arbitrary point on the curve.
The slope of the secant line PQ is
![\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]](https://tex.z-dn.net/?f=%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B%5Cfrac%7Bx%7D%7B1%2Bx%7D-%5Cfrac%7B1%7D%7B2%7D%7D%7Bx-1%7D%3D%5Cdfrac%7B%5Cfrac%7B2x-%281%2Bx%29%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5Cdfrac%7B%5Cfrac%7B2x-1-x%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5C%5C%20%5C%5C%3D%5Cdfrac%7B%5Cfrac%7Bx-1%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5Cdfrac%7Bx-1%7D%7B2%28x%2B1%29%7D%5Ccdot%20%5Cdfrac%7B1%7D%7Bx-1%7D%3D%5Cdfrac%7B1%7D%7B2%28x%2B1%29%7D%5C%20%5B%5Ctext%7BWhen%7D%5C%20x%5Cneq%201%5D)
1. If x=0.5, then the slope is
2. If x=0.9, then the slope is
3. If x=0.99, then the slope is
4. If x=0.999, then the slope is
5. If x=1.5, then the slope is
6. If x=1.1, then the slope is
7. If x=1.01, then the slope is
8. If x=1.001, then the slope is
Answer:
1. 15%
2. 85%
Step-by-step explanation:
The graph is 100 units,
the shaded part is 15 units,
so it is 15%,
if it is 15% than the unshaded part is 85%.
35x26 that should give you your answer and then 3x4 and then add your solutions together to get your answer
Hey there!
If we have two white marbles and seven purple marbles, our first probability is out of nine.
First of all, we have the probability of selecting a purple marble, 7/9.
Now, if we do not replace it, there are only eight marbles left. Therefore, getting a white marble is 2/8, or 1/4.
We multiply these probabilities together to get our answer to a.
7/9(1/4)= 7/36
a. 7/36
Now, let's do b. We have 2/9, and then 1/8, giving us 1/36.
b. 1/36
Now, let's calculate selecting two purple to help us with C.
We have 7/9, and then 6/8, or 3/4.
7/9(3/4)= 7/12
Since there is a majority of purple marbles, there is a C) greater probability of selecting two purple marbles in a row.
I hope this helps!
Answer:
Fun? i like the game we play in school with each other.
Step-by-step explanation:
