The minimum point on the graph of the equation y=f(x-5) is (-6, -3)
<h3>How to determine the minimum?</h3>
The initial minimum is given as:
(-1, -3)
The transformation y = f(x - 5) means that:
(x, y) = (x - 5, y)
So, we have:
(x, y) = (-1 - 5, -3)
Evaluate
(x, y) = (-6, -3)
Hence, the minimum point on the graph of the equation y=f(x-5) is (-6, -3)
Read more about transformation at:
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Complete question:
Lizzie measured the length of a trail near her house. She discovered that her measurement had a margin of error of 0.0005 mile. Which of the following could be the measured length of the trail?
A. 9.3 miles
B. 9.2549 miles
C. 9.254 miles
D.9.25 miles
Answer:
- <u><em>B. 9.2549 miles</em></u>
Step-by-step explanation:
Measurements are subject to errors. Hence, when you make a measurement you must report it along with the error.
In this case, <em>Lizzie discovered that her measurement had a margin of error of 0.0005 mile.</em>
That means that the error of the measure is in the fourth decimal digit.
The measurement is supposed to be certain until the third decimal digit and the fourth digit would be uncertain.
The rule is that measures are reported with one uncertain digit.
Therefore, the <em>measured length</em> should contain 4 decimal digits, which means that , from the answer choices the measured length should be 9.2549 miles.
The measure should be reported as 9.2549 miles ± 0.0005 mile, meaning the the fourth decimal is uncertain. The uncertanity of the measure is 0.0005 mile.
Answer:
Step-by-step explanation:
![y''-4y=cosx](https://tex.z-dn.net/?f=y%27%27-4y%3Dcosx)
The auxialary equation and solutions are as follows:
![m^2-4=0\\m=2,-2](https://tex.z-dn.net/?f=m%5E2-4%3D0%5C%5Cm%3D2%2C-2)
General solution is
![y=Ae^{2x} +Be^{-2x}](https://tex.z-dn.net/?f=y%3DAe%5E%7B2x%7D%20%2BBe%5E%7B-2x%7D)
Right side =cosx
Particular Integral
= ![\frac{cosx}{-1-4} =\frac{-cosx}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bcosx%7D%7B-1-4%7D%20%3D%5Cfrac%7B-cosx%7D%7B5%7D)
Hence full solution is
Well to find out what n is, let's look at the whole numbers around the value of 6.7, so it would be 6 and 7.
From the list, square root of which larger number will provide you with 6 and 7.
It would be C. Since the square root of 36 is 6 and square root of 49 is 7. Knowing this the square root of n, some unknown number must then be between the numbers of 36 and 49, as the square roots of those numbers respectively are 6 and 7. Square root of n which is 6.7 is found between them.