Answer:
1.28/7. 2.-17/7. 3.-11/-3. 4.not sure. 5. cant remeber rest
Answer:
X=7
Step-by-step explanation:
In your question where as the amount of gasoline that 80 drivers bought to fill their cars gas tanks is shown in your diagram and the problem as to find how many drivers bought more than 12 gallons and the best answer would be 36. I hope you are satistfied with my answer and if you need some clarification, please feel free to ask for more
Answer:
41. f⁻¹(x) = -9x + 4
43. m⁻¹(x) = ∛(x-2)/4
Step-by-step explanation:
41. y = (4-x)/9
swap x and y: x = (4-y)/9
solve y: 9x = 4-y
y = -9x + 4
45. y = 4x³+2
x = 4y³+2
4y³ = x-2
y³ = (x-2)/4
y = ∛(x-2)/4
Let you do 42 and 46 by yourself
Answer:
The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:
![f(t) = 10000(0.9407)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%280.9407%29%5Et)
Step-by-step explanation:
Value of the car:
Constant rate of change, so the value of the car in t years after 2012 is given by:
![f(t) = f(0)(1-r)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%20f%280%29%281-r%29%5Et)
In which f(0) is the initial value and r is the decay rate, as a decimal.
In 2012 your car was worth $10,000.
This means that
, thus:
![f(t) = 10000(1-r)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%281-r%29%5Et)
2014 your car was worth $8,850.
2014 - 2012 = 2, so:
![f(2) = 8850](https://tex.z-dn.net/?f=f%282%29%20%3D%208850)
We use this to find 1 - r.
![f(t) = 10000(1-r)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%281-r%29%5Et)
![8850 = 10000(1-r)^2](https://tex.z-dn.net/?f=8850%20%3D%2010000%281-r%29%5E2)
![(1-r)^2 = \frac{8850}{10000}](https://tex.z-dn.net/?f=%281-r%29%5E2%20%3D%20%5Cfrac%7B8850%7D%7B10000%7D)
![(1-r)^2 = 0.885](https://tex.z-dn.net/?f=%281-r%29%5E2%20%3D%200.885)
![\sqrt{(1-r)^2} = \sqrt{0.885}](https://tex.z-dn.net/?f=%5Csqrt%7B%281-r%29%5E2%7D%20%3D%20%5Csqrt%7B0.885%7D)
![1 - r = 0.9407](https://tex.z-dn.net/?f=1%20-%20r%20%3D%200.9407)
Thus
![f(t) = 10000(1-r)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%281-r%29%5Et)
![f(t) = 10000(0.9407)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%280.9407%29%5Et)