I’m not sure if this is how you do it but:
2(8a - 12)
4(4a - 6)
8(2a - 3)
??
Answer:
![y\le\dfrac{1}{2}x+2](https://tex.z-dn.net/?f=y%5Cle%5Cdfrac%7B1%7D%7B2%7Dx%2B2)
Step-by-step explanation:
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). This line has the equation
![y-0=\dfrac{2-0}{0-(-4)}(x-(-4))\\ \\y=\dfrac{1}{2}(x+4)\\ \\y=\dfrac{1}{2}x+2](https://tex.z-dn.net/?f=y-0%3D%5Cdfrac%7B2-0%7D%7B0-%28-4%29%7D%28x-%28-4%29%29%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B1%7D%7B2%7D%28x%2B4%29%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B1%7D%7B2%7Dx%2B2)
The origin belongs to the shaded region, so its coordinates must satisfy the inequality. Since
![\dfrac{1}{2}\cdot 0+2=2\ge 0,](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%200%2B2%3D2%5Cge%200%2C)
then the correct inequality is
![y\le\dfrac{1}{2}x+2](https://tex.z-dn.net/?f=y%5Cle%5Cdfrac%7B1%7D%7B2%7Dx%2B2)
Answer:
Arithmetic sequence:
Geometric sequence:
Step-by-step explanation:
The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.
Examples:
- 4, 7, 10, 13, 16, ........................ (increased by 3)
- 25, 20, 15, 10, ......................... (Decreased by 5)
The explicit formula for the nth term of the arithmetic sequence is:
is the first term
- d is the constant difference between each two consecutive terms
- n is the position of the number in the sequence
The geometric sequence: is the sequence whos consecutive terms have a constant ratio
Examples:
- 1, 2, 4, 8, 16, ........................ (Multiplying by 2)
- 625, 125, 25, 5, ......................... (Dividing by 5)
The explicit formula for the nth term of the geometric sequence is:
is the first term
- r is the constant ratio between each two consecutive terms
- n is the position of the number in the sequence
* Arithmetic sequence →→→→→→ Geometric sequence
Has a constant difference →→→→→→ Has a constant ratio
→→→→→→
→→→→→→ ![r=\frac{a_{n}}{a_{n-1} }](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_%7Bn%7D%7D%7Ba_%7Bn-1%7D%20%7D)
Check the picture below.
make sure your calculator is in Degree mode.
Answer:
y=5/-4x
Step-by-step explanation:
m=y2-y1/x2-x1
m=3--2/0-4=5/-4
m=5/-4