There is no number to answer this question
Your answers are fine.
1) Transitive property if a = b and b = c, then a = c. Replace with your letters and is is done.
2) Symmetric property of equality.
If a = b, then b = a.
Answer:
Rate of Change = -77.9 feet/year
My interpretation: "Is Bad."
Step-by-step explanation:
The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place. We want a value with a unit of feet/year.
<u>Year</u> <u>Feet</u>
1999 3893
2005 3425.6
<u>Change</u>
Year = (2005 - 1999) or 6 years
Feet = (3425.6 - 3893) or -467.4 feet
Rate of Change = (-467.4 feet)/(6 years)
Rate of Change = -77.9 feet/year
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FYI: Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.
Answer:
![x=\frac{16}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B16%7D%7B5%7D)
Step-by-step explanation:
The given function is
![f(x) = -5x +1+3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-5x%20%2B1%2B3)
Which can be rewritten also as
![f(x) = -5x +4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-5x%20%2B4)
We want to find the values of x for which
![f(x) = -12](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-12)
In order to do that, we just substitute -12 into f(x), and we solve the equation for x:
![-12 = -5x + 4\\-16 = -5x\\x=\frac{-16}{-5}=\frac{16}{5}](https://tex.z-dn.net/?f=-12%20%3D%20-5x%20%2B%204%5C%5C-16%20%3D%20-5x%5C%5Cx%3D%5Cfrac%7B-16%7D%7B-5%7D%3D%5Cfrac%7B16%7D%7B5%7D)