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creativ13 [48]
4 years ago
7

What is the answer 9ab+3b2-7b2+8ab-12

Mathematics
1 answer:
nikitadnepr [17]4 years ago
4 0

Answer:

-(4b^2-17ab+12)

Step-by-step explanation:

9ab+3b^2-7b^2+8ab-12

9ab+8ab+3b^2-7b^2-12

17ab-4b^2-12

-(4b^2-17ab+12)

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Write the equation of a line parallel to the line y = 2x that passes through -2,-1
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Answer:

y = 2x + 3

Step-by-step explanation:

A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.

Start with y = mx + b, and replace m with 2, y with -1 and x with -2:

-1 = 2(-2) + b, or

-1 = -4 + b.

Then b = 3, and the desired equation is y = 2x + 3

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3 years ago
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A group of friends spent 1, 0, 2, 3, 4, 3, 6, 1, 0, 1, 2, and 2 hours online last night. What are the 1st and 3rd quartiles for
Ostrovityanka [42]

Arrange the numbers from smallest to largest:

0,0,1,1,1,2,2,3,3,4,6

Split the data in the middle, since there is an odd amount of numbers take an even amount on each side:

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Lower half: 0,0,1,1,1

Higher half: 2,3,3,4,6

1st quartile is the middle value of the lower half: 1

3rd quartile is the middle value of the higher half: 3

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Learning Task 1 4/625 11. 796 A. Simplify the radical expressions 1. V63 6. V24 2. 48 7. 781 3. 775 8. V128 4. 99 9. 340 5. 92 1
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Question:

Simplify the radical expressions

1.\ \sqrt{63     2.\ \sqrt{48    3.\ \sqrt{75      4.\ \sqrt{99      5.\ \sqrt{92

6.\ \sqrt[3]{24}      7.\ \sqrt[3]{81}      8.\ \sqrt{128}     9.\sqrt[3]{40}     10.\ \sqrt[3]{135}

Answer:

\sqrt{63}= 3 \sqrt7

\sqrt{48} = 4\sqrt{3}

\sqrt{75} = 5\sqrt{3}

\sqrt{99} = 3 \sqrt{11

\sqrt{92} = 2\sqrt{23

\sqrt[3]{24} = 2 \sqrt[3]{3}

\sqrt[3]{81} =3\sqrt[3]{3}

\sqrt{128} = 8 \sqrt{2}

\sqrt[3]{40} = 2 \sqrt[3]{5}

\sqrt[3]{135} =3\sqrt[3]{5}

Step-by-step explanation:

1.\ \sqrt{63    

Express 63 as 9 * 7

\sqrt{63}= \sqrt{9 * 7

Split:

\sqrt{63}= \sqrt{9} * \sqrt7

\sqrt{63}= 3 * \sqrt7

\sqrt{63}= 3 \sqrt7

2.\ \sqrt{48    

Express 48 as 16 * 3

\sqrt{48} = \sqrt{16*3}

Split

\sqrt{48} = \sqrt{16}*\sqrt{3}

\sqrt{48} = 4*\sqrt{3}

\sqrt{48} = 4\sqrt{3}

3.\ \sqrt{75    

Express 75 as 25 * 3

\sqrt{75} = \sqrt{25*3}

Split

\sqrt{75} = \sqrt{25}*\sqrt{3}

\sqrt{75} = 5\sqrt{3}

4.\ \sqrt{99  

Express 99 as 9 * 11

\sqrt{99} = \sqrt{9} * \sqrt{11}

Split

\sqrt{99} = 3 \sqrt{11

5.\ \sqrt{92

Express 92 as 4 * 23

\sqrt{92} = \sqrt{4} * \sqrt{23

\sqrt{92} = 2* \sqrt{23

\sqrt{92} = 2\sqrt{23

6.\ \sqrt[3]{24}    

Express 24 as 8 * 3

\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}

Express 8 as 2^3

\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}

\sqrt[3]{24} = 2 \sqrt[3]{3}

7.\ \sqrt[3]{81}

Express 81 as 27 * 3

\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}

Express 27 as 3^3

\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}

\sqrt[3]{81} =3\sqrt[3]{3}

8.\ \sqrt{128}    

Express 128 as 64 * 2

\sqrt{128} = \sqrt{64} * \sqrt{2}

\sqrt{128} = 8 \sqrt{2}

9.\sqrt[3]{40}

Express 40 as 8 * 5

\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}

\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}

\sqrt[3]{40} = 2 \sqrt[3]{5}

10.\ \sqrt[3]{135}

Express 135 as 27 * 5

\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}

Express 27 as 3^3

\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}

\sqrt[3]{135} =3\sqrt[3]{5}

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Answer: 3.7%

Step-by-step explanation:

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