The answer is C) y=14(0.9)ˣ and it's an exponential function
PROOF
Give to x the respective values of x & calculate y, using y = 14(0.9)ˣ
x | y
---------|---------
0 | 14(0.9)⁰ = 14
1 | 14(0.9)¹ = 12.6
2 | 14(0.9)² = 11.34
3 | 14(0.9)³ = 10.206
4 | 14(09)⁴ = 9.1845
Answer:
(8)
and ![2x - y = -10](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20-10)
(9)
and ![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
(10)
and ![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
Step-by-step explanation:
Given [Missing from the question]
![(8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)](https://tex.z-dn.net/?f=%288%29.%5C%20%28-6%2C-2%29%5C%20%5C%5C%20%289%29.%5C%20%28-12%2C18%29%5C%20%5C%5C%20%2810%29.%5C%20%282%2C0%29)
Required
Write a system of linear equations
The solutions to this question is open and have different solutions
Solving (8) (-6,-2)
Let the equations be: x + y and 2x - y
![x + y = -6 - 2](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20-6%20-%202)
--- (1)
![2x - y = 2 * (-6) - (-2)](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%202%20%2A%20%28-6%29%20-%20%28-2%29)
-- (2)
So, the equations are:
and ![2x - y = -10](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%20-10)
Solving (9) (-12, 18)
Let the equations be: 3x - y and 4x + y
![3x - y = 3 *(-12) - 18](https://tex.z-dn.net/?f=3x%20-%20y%20%3D%203%20%2A%28-12%29%20-%2018)
![3x - y = -54](https://tex.z-dn.net/?f=3x%20-%20y%20%3D%20-54)
![4x + y = 4 * (-12) + 18](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%204%20%2A%20%28-12%29%20%2B%2018)
![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
So, the equations are:
and ![4x + y = -30](https://tex.z-dn.net/?f=4x%20%2B%20y%20%3D%20-30)
Solving (9): (2,0)
Let the equations be: x + y and x - y
![x + y = 2 + 0](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%202%20%2B%200)
![x + y = 2](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%202)
![x - y = 2 - 0](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202%20-%200)
![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
So, the equations are:
and ![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
X-2/3x= - 1/7 is equivalent to the equation above. Then you get 1/3x= - 1/7.
So, x = - 3/7
Answer:
A) True
Step-by-step explanation:
The x values, 1 2 3 can go to the y values B L A
However, if there were two lines at 2 1 2 3 going to any of the y values it would not be a function
Here is a picture explaining it.