Given that,
The equation is : 1+y=-4/5x-2
To find,
The slope of the line.
Solution,
We have,
![1+y=\dfrac{-4x}{5}-2](https://tex.z-dn.net/?f=1%2By%3D%5Cdfrac%7B-4x%7D%7B5%7D-2)
Subtract 1 from both sides.
.....(2)
The general equation of line is :
...(1)
where m is slope and c is y-intercept
Comparing equation (1) and (2)
m =
and c = -3
Hence, the slope of the line is
.
Answer:
Martin Drove about 60,000
Martin Drove exactly 53,558
Step-by-step explanation:
90,000 - (20,000 +10,000) = x
60,000 = x
86,456 - (24,901 - 7,997) = x
53,558 = x
The answer to the question is 9^8
Answer:
![a_{10} = \frac{10}{65536}](https://tex.z-dn.net/?f=a_%7B10%7D%20%3D%20%5Cfrac%7B10%7D%7B65536%7D)
Step-by-step explanation:
The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.
This sequence is arithmetic if:
![a_{3} - a_{2} = a_{2} - a_{1}](https://tex.z-dn.net/?f=a_%7B3%7D%20-%20a_%7B2%7D%20%3D%20a_%7B2%7D%20-%20a_%7B1%7D)
We have that:
![a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}](https://tex.z-dn.net/?f=a_%7B3%7D%20%3D%2040%2C%20a_%7B2%7D%20%3D%2010%2C%20a_%7B3%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D)
![a_{3} - a_{2} = a_{2} - a_{1}](https://tex.z-dn.net/?f=a_%7B3%7D%20-%20a_%7B2%7D%20%3D%20a_%7B2%7D%20-%20a_%7B1%7D)
![\frac{5}{2} - 10 = 10 - 40](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20-%2010%20%3D%2010%20-%2040)
![\frac{-15}{2} \neq -30](https://tex.z-dn.net/?f=%5Cfrac%7B-15%7D%7B2%7D%20%5Cneq%20-30)
This is not an arithmetic sequence.
This sequence is geometric if:
![\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7Ba_%7B3%7D%7D%7Ba_%7B2%7D%7D%20%3D%20%5Cfrac%7Ba_%7B2%7D%7D%7Ba_%7B1%7D%7D)
![\frac{\frac{5}[2}}{10} = \frac{10}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B5%7D%5B2%7D%7D%7B10%7D%20%3D%20%5Cfrac%7B10%7D%7B40%7D)
![\frac{5}{20} = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B20%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
![\frac{1}{4} = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
This is a geometric sequence, in which:
The first term is 40, so ![a_{1} = 40](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%2040)
The common ratio is
, so
.
We have that:
![a_{n} = a_{1}*r^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%2Ar%5E%7Bn-1%7D)
The 10th term is
. So:
![a_{10} = a_{1}*r^{9}](https://tex.z-dn.net/?f=a_%7B10%7D%20%3D%20a_%7B1%7D%2Ar%5E%7B9%7D)
![a_{10} = 40*(\frac{1}{4})^{9}](https://tex.z-dn.net/?f=a_%7B10%7D%20%3D%2040%2A%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B9%7D)
![a_{10} = \frac{40}{262144}](https://tex.z-dn.net/?f=a_%7B10%7D%20%3D%20%5Cfrac%7B40%7D%7B262144%7D)
Simplifying by 4, we have:
![a_{10} = \frac{10}{65536}](https://tex.z-dn.net/?f=a_%7B10%7D%20%3D%20%5Cfrac%7B10%7D%7B65536%7D)