Answer:
The first table represents a function.
Step-by-step explanation:
For it to be a function, there needs to be 1 unique y value of 1 unique x value.
- Looking at 2nd table, we see x value of -5 is mapped to 2 different y values of -5 and 5. So this is not a function.
- Looking at 3rd table, we see x value of -2 is mapped to 2 different y values of 2 and 4. So this is not a function.
- Looking at 4th table, we see x value of -4 is mapped to 2 different y values of 2 and 0. So this is not a function as well.
Looking at table 1, there are no duplicate x values and each of the 4 x values map to different values. So the first table represents a function.
Answer:
10
Step-by-step explanation:
Hello! We will be using the Pythagorean theorum, where a² + b² = c². C is the clanted part of the triangle, and 13² is 169. a = 12, and we are looking for the value of b. 12² is 144. Let's subtract to find b. 169 - 144 is 25. Now, let's find the square root of 25 to find the length. √25 is 5. There. b = 5. The side length of side b is 5. The correct answer is C: 5.
Answer:
The solution is 
Step-by-step explanation:
From the question we are told that
The function is ![f(x) = 4 + x^2 + tan [\frac{ \pi x}{2} ]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%204%20%2B%20%20x%5E2%20%20%2B%20tan%20%5B%5Cfrac%7B%20%5Cpi%20x%7D%7B2%7D%20%5D)
, -1 < x < 1 a = 4
Here we are told find 
Let equate
So
![4 + x^2 + tan[\frac{\pi x }{2} ] = 4](https://tex.z-dn.net/?f=4%20%2B%20%20x%5E2%20%20%2B%20tan%5B%5Cfrac%7B%5Cpi%20x%20%7D%7B2%7D%20%5D%20%3D%20%204)
![x^2 + tan[\frac{\pi x }{2} ] = 0](https://tex.z-dn.net/?f=x%5E2%20%20%2B%20tan%5B%5Cfrac%7B%5Cpi%20x%20%7D%7B2%7D%20%5D%20%20%3D%20%200)
For the equation above to be valid x must be equal to 0
Now when x = 0
![f(0) = 4+0^2 + tan [\frac{ \pi * 0}{2} ]](https://tex.z-dn.net/?f=f%280%29%20%3D%204%2B0%5E2%20%2B%20tan%20%5B%5Cfrac%7B%20%5Cpi%20%2A%200%7D%7B2%7D%20%5D)
=> 
=> 
Differentiating f(x)
Now
since
We have
Now
Answer:
-1
Step-by-step explanation:
If a line is parallel on a graph, then that means that they will descend/climb at the same rate. Therefore, the slope of this line is also -1.
Hope this helped!
