Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an a
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Answer:
50 minutes
Explanation:
We can set this up as a rate * time = distance problem. We can set the rate at which Amanda travels to work to be x, since that quantity is unknown. The time it takes is given to be 60 minutes. This means that the total distance she travels to get to work is 60x. On the other hand, the way back home has more unknown quantities. The exact rate is unknown, but we do know that it is 20% more than the rate at which Amanda travels to work. This means that the rate is x + .20x, or 1.2x. We can set the time to be y, which means the total distance she travels to get back home is 1.2xy. We are told that Amanda uses the same route to get to and from work, which means 60x = 1.2xy. All we have to do now is solve this equation:
If we divide through by x and then isolate y, we get that it takes Amanda 50 minutes to get home
The numbers at which <em>f</em> is not differentiable are;<u> -1, and 2</u>
The reason the above list of numbers at which <em>f</em> is not differentiable are correct are given as follows:
<em>Question; Please find attached a graph that can be used to solve the question</em>
- A function is not differentiable at a point where the function has a discontinuity. That is a point on the graph were there is a break in the graph
Therefore, the given graph of <em>f</em> shows that <u>the function is not differentiable at x = -1</u>, the point where the graph has a discontinuity
- A function is not differentiable at a point where the graph of the function has a kink or corner.
The graph of <em>f</em> has a kink at x = 2, therefore, <u>the function is also not differentiable at x = 2</u>
Learn more about differentiability of a function here:
