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Pachacha [2.7K]
3 years ago
5

A number x, rounded to 1 decimal place is 12.3 write down the error interval for x

Mathematics
donnaye
2 years ago
help
1 answer:
icang [17]3 years ago
3 0
We know that
<span>A number x, rounded to 1 decimal place is 12.3
</span><span>so
x>=12.25
and
x < 12.35

</span><span>the error interval for x is the interval [12.25,12.35)
</span>
the answer is
[12.25,12.35)


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Answer:

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Step-by-step explanation:

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x² + (kx + 6)² - 10x + 8(kx + 6) = 84

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subtract 84 on both sides to bring it to the left:

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factorise out x:

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using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

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20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

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