The maximum grade allowed between two stations in a rapid transit rail system 3.5%. between station A and station B, which are 3
1 answer:
Answer:
The grade of the tracks between these two stations is 2.65625%
Yes, this grade meet the rapid-transit rail standards
Step-by-step explanation:
Consider the provided information.
the maximum grade allowed between two stations in a rapid transit rail system 3.5%.
Between station A and station B, which are 320 ft apart, the tracks rise ft.
Here we need to find the slope of the tracks, because the slope of the track is the gradient of the track.
Here the rise is 8.5 ft and the run is 320 ft.
Substitute the value of rise and run as shown.
0.0265625×100=2.65625%
2.65625% is less than 3.5%
Hence, this grade meet the rapid-transit rail standards
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Answer:
true.
false
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Step-by-step explanation:
1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it <u>not </u>to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.
2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.
3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.
4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.
-y = 3(-x)³ + 6 now lets see what happens it we let x = 2
For the original equation: y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30
Now we try the test equation: -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18
So -y = -18
So y = 18
The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.
Thus, the origin is <u>not </u>a point of symmetry. False.
I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.
