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erik [133]
2 years ago
5

Solve the system equations and choose the correct ordered pair 3x+2y=12 6x+3y=21

Mathematics
1 answer:
Harrizon [31]2 years ago
6 0

Answer:

(2, 3).

Step-by-step explanation:

3x+2y=12

6x+3y=21    Multiply the first equation by 3 and the second by 2:

9x + 6y = 36

12x + 6y = 42        Subtract:

-3x = -6

x = -6/-3 = 2.

Plug x = 2 into the first equation:

3(2) + 2y = 12

2y = 12 - 3(2)

2y = 6

y = 3.

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What is the standard form polynomial representing the volume of this shipping container?
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Answer:

Step-by-step explanation:

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

6 0
3 years ago
Given the system of equations One-third x minus two-thirds y = 7 and two-thirds x + 3 y = 11, which numbers can be multiplied by
asambeis [7]

Answer:

A  B & E

Step-by-step explanation:

Hope this helps

5 0
3 years ago
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Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike t
marusya05 [52]

Answer:

How many miles does he ride his bike there and back?

6 miles.

What information is extra?​

The hour at which he leaves his house.

Step-by-step explanation:

We know that he rides 3 miles each way.

Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.

So he rides 3 miles both times, if we add that, we get:

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So:

How many miles does he ride his bike there and back?

6 miles.

And to answer the other question, we need to look at the given information that we did not use in this calculation. In this case, is the hour at which he leaves his house.

Notice that we never did use the fact that he leaves his house at 4 p.m.

Then:

What information is extra?​

The hour at which he leaves his house.

6 0
3 years ago
What number gives a result of −4 when 10 is subtracted from the quotient of the number and 4?
Arisa [49]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
Solve the equation or formula for the indicated variable.
alex41 [277]
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3 0
3 years ago
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