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True [87]
3 years ago
6

Is 4/6 less than 5/7 which one is greater

Mathematics
2 answers:
GREYUIT [131]3 years ago
7 0
<span>Find which is greater between the two given numbers:
=> 4/6
=> 5/7
To know the answer, we need to convert both given fraction numbers into decimals number.
To do that, simply divide the numerator from the denominator.
=> 4 / 6 (4 is numerator and 6 is denominator)
=>  0.6667 – a repeating decimal
=> 5 / 7 (5 is numerator and 7 is denominator)
=>  0.714
They are almost the same but still 5/7 is greater than 4/6

</span>



Oksana_A [137]3 years ago
5 0
5/7 is greater than 4/6 because 5/7 = 0.71 while 4/6 = 0.67
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This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3

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The given function is

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When we differentiate this function with respect to x, we get;

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If this function satisfies the Mean Value Theorem, then f must be continuous on  [1,7] and differentiable on (1,7).

But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.

 

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