For this case, we find the equation of the line, for this we look for points where the line passes:
![(x1, y1) = (- 2,0)\\(x2, y2) = (- 10, -4)](https://tex.z-dn.net/?f=%28x1%2C%20y1%29%20%3D%20%28-%202%2C0%29%5C%5C%28x2%2C%20y2%29%20%3D%20%28-%2010%2C%20-4%29)
We found the slope:
![m = \frac {y2-y1} {x2-x1} = \frac {-4-0} {- 10 - (- 2)} = \frac {-4} {- 10 + 2} = \frac {- 4} {- 8} = \frac {1} {2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By2-y1%7D%20%7Bx2-x1%7D%20%3D%20%5Cfrac%20%7B-4-0%7D%20%7B-%2010%20-%20%28-%202%29%7D%20%3D%20%5Cfrac%20%7B-4%7D%20%7B-%2010%20%2B%202%7D%20%3D%20%5Cfrac%20%7B-%204%7D%20%7B-%208%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D)
Thus, the equation of the line is:
![y = \frac {1} {2} x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20x%20%2B%20b)
We substitute a point to find "b":
![0 = \frac {1} {2} (- 2) + b\\0 = -1 + b\\b = 1](https://tex.z-dn.net/?f=0%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%28-%202%29%20%2B%20b%5C%5C0%20%3D%20-1%20%2B%20b%5C%5Cb%20%3D%201)
Finally:
![y = \frac {1} {2} x + 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20x%20%2B%201)
Now, the domain is given by all the values for which the function is defined.
It is observed that "x" can take any value, that is, it is defined for all real numbers.
Answer:
Option A
Workers being paid on commission get paid based solely on their performance.
They get paid based on their performance and not their hours.
Answer:
Its quantitive cause its giving a number and quantity/quantitive is for numbers
Step-by-step explanation:
The given number is 7,594,000,000.
To convert it into scientific notation,
First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was > 1.
In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.
Hence,
is the scientific notation.
<h3>
Answer: 270.58 dollars</h3>
======================================================
Work Shown:
- A = account value after t years
- P = principal or amount deposited = 800
- r = interest rate in decimal form = 0.06
- n = number of times we compound per year = 1
- t = number of years = 5
So,
A = P*(1+r/n)^(n*t)
A = 800*(1+0.06/1)^(1*5)
A = 1070.58046208
A = 1070.58
After five years, the account will have $1,070.58 in it.
The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.