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Zepler [3.9K]
3 years ago
9

A number, x, rounded to 1 decimal place is 3.7Write down the error interval for x.​

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Answer:

3.65 \leqslant x \leqslant 3.75

Step-by-step explanation:

The error in rounding a number is half of the unit of measure.

The number was rounded to the nearest 0.1 unit so the error is 1/2×0.1, which equals 0.05.

Now we add 3.7 and 0.05, which equals 3.75 and we also take 3.7 - 0.05, which equals 3.65

So, the error interval is:

3.65 \leqslant x \leqslant 3.75

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write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
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-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -1/4x - 4}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

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  • \textsf{y + 5 - 5 = -1/4x + 1 - 5}
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Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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