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Maslowich
3 years ago
5

Find all real numbers for which the rational expression is undefined. (Enter your answers as a comma-separated list. If no value

s make the expression undefined, enter NONE.) 6x-19/x2 - 81
Mathematics
1 answer:
Marianna [84]3 years ago
6 0

Answer: +9, -9

Step-by-step explanation: The rational expression in this case is undefined if the the denominator is equal to zero, which means that the x cannot be whatever makes the denominator zero, so:

x² - 81 = 0 ⇒ x² = 81 ⇒ x = +/- √81 ⇒ x = +/- 9

Note that we are using the equal sign just because this particular problem askes for a solutions that is undefined.

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3 years ago
The sum of two numbers is 48. Their difference is 38. Find the numbers.
Setler79 [48]

Answer:

43 and 5

Step-by-step explanation:

Let's let the two unknown numbers be a and b.

Their sum is 48, therefore:

a+b=48

And their difference is 38. In other words:

a-b=38

We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:

a=38+b

Substitute this into the first equation:

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Combine like terms:

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So, one of the numbers is 5.

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So, our two numbers are 43 and 5.

And we're done!

4 0
3 years ago
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