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Hunter-Best [27]
2 years ago
9

Solve the equation by completing the square. 0 = 4x2 − 72x

Mathematics
1 answer:
Lyrx [107]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Given

4x² - 72x = 0 ← factor out 4 from each term

4(x² - 18x) = 0

To complete the square

add/subtract (half the coefficient of the x- term)² to x² - 18x

4(x² + 2(- 9)x + 81 - 81) = 0

4(x - 9)² - 4(81) = 0

4(x - 9)² - 324 = 0 ( add 324 to both sides )

4(x - 9)² = 324 ( divide both sides by 4 )

(x - 9)² = 81 ( take the square root of both sides )

x - 9 = ± \sqrt{81} = ± 9 ( add 9 to both sides )

x = 9 ± 9

Then

x = 9 - 9 = 0

x = 9 + 9 = 18

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What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62,
ra1l [238]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

62, 88, 89, 90, 92, 95, 96, 98, 100, 100

Calculating the Range:

= Greatest - Lowest\\\\= 100 - 62\\\\ = 38

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 88, 89, 90, 92, 95, 96, 98, 100, 100

Calculating the range without outlier = 100 - 88 = 12

Inter Quartile Range = Q_3 - Q_1

IQR = 98 - 89 = 11

Calculating the IQR without outlier = 99 - 89.5 = 9.5

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

5 0
2 years ago
-4y+8-3x+4y+9+5x= Need help
lord [1]

Answer:

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Step-by-step explanation:

-4y+8-3x+4y+9+5x

Combine like terms

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7 0
3 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

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Here is how I would show the work for this problem

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9-6 = 4a+6-6
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Let me know if you have any questions or issues with any of the steps shown above. It's a lot to take in so feel free to ask about anything really. 
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