How do you write 6 3/5 as a decimal in simplest form?
1 answer:
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Given, a marble factory makes single marbles and then puts them in boxes of 10, cartons of 100 and crates of 1000.
There are 21,650 marbles. We have to find how many boxes, cartons and crates are there.
We have to write 21,650 in the form of 1000, 100 and 10.
We can write 21,650 in the form of 1000 as,
Now there left.
We can write 650 in the form of 100 as,
So there, left.
Now we can write 50 in the form of 10 as, .
So we can write 21,650 as,
So there are 21 crates, 6 cartons and 5 boxes in the marble factory package.
We have got the required answer here.
<u>Here are your fill-ins:</u>
r = 1 is a zero, so (r-1) is a factor.
r = -1 is a zero, so (r+1) is a factor.
The remainders from synthetic division are 0 each time.
See the attachment for the synthetic division numbers.
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The reduced quadratic is ...
... x² -6x +13 = 0
Solving by completing the square, we have ...
... (x -3)² = -4
... x = 3 ± 2i
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The quadratic formula would tell you ...
... x = (-(-6) ± √((-6)² -4(1)(13)))/(2·1) = (6±√-16)/2 = 3±2i
