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Irina18 [472]
2 years ago
14

on his way back, Thomas took the train. The distance travelled by the train is 328 miles. What is the average speed of the train

?
Mathematics
1 answer:
Irina-Kira [14]2 years ago
5 0

Answer:

is there a number of hours he took to get back?

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Please answer with explanation, I don't understand.<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-14x%2B49%7D%20%3Dx
Crank

Answer: x ≥ 7

Step-by-step explanation:

You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7

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