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Valentin [98]
2 years ago
7

Simplify (-7x+5)-(2x^2-8x+6) in standard form

Mathematics
1 answer:
Zarrin [17]2 years ago
8 0

Answer: -2x² - 15x + 11

Step-by-step explanation:

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What is the range of the function y= 2sinx​
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<h2>Hello!</h2>

The answer is: [-2,2]

<h2>Why?</h2>

The range of a function shows where the function can exist in the y-axis.

To know the range of the function, we have to isolate x,

So

y=2sinx\\\frac{y}{2}=sinx\\ Sin^{-1}(\frac{y}{2}) = x

The only possible values that y can take go from -2 to 2. Taking values out of these values will give as result a non-real number.

Therefore,

The range of  the function is [-2,2]

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If x = -2, which inequality is true?
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A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4
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Answer:

a) \bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401

b) The sample deviation is calculated from the following formula:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And for this case after replace the values and with the sample mean already calculated we got:

s=0.0036

If we assume that the data represent a population then the standard deviation would be given by:

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}

And then the deviation would be:

\sigma =0.00319

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And if we replace we got:

\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And for this case after replace the values and with the sample mean already calculated we got:

s=0.0036

If we assume that the data represent a population then the standard deviation would be given by:

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}

And then the deviation would be:

\sigma =0.00319

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What is -5 2/3 divided by -3?
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