Х у 20 14 1 3 5 2 5 10 Is this relation a function?.
1 answer:
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The remainder of f(x) = 7
Step-by-step explanation:
f(x) =
Here 2x - 1 is a factor.
We will apply Factor theorem ( states that if (x-a) is a factor of f(x) then f(a) is the remainder)
Putting x = 1/2 in f(x) we will get the remainder.
f(1/2) = 2(1/2)^3 -5(1/2)^2 +8(1/2) +4
=7
about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.
5, 8, 13 are no dice, namely 5² + 8² ≠ 13
25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²
however, 5,12 and 13 are indeed a pythagorean triple
also is 39, 80, 89.
when looking for a pythagorean triple, recall that c² = a² + b².
so the longest leg is the sum of the square of the small ones.
so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.