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Marta_Voda [28]
2 years ago
9

Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?

Mathematics
2 answers:
Anit [1.1K]2 years ago
7 0

Answer:

The sum has a degree of 6, but the difference has a degree of 7.

Step-by-step explanation:

tankabanditka [31]2 years ago
6 0

Answer:

The option " The sum has degree of 6 , but the difference has a degree of 7 " is correct.

Step-by-step explanation:

Given that the sum and difference of the polynomials 3x^5y-2x^3y^4-7xy^3 and -8x^5y+2x^3y^4+xy^3

<h3>Now sum the given polynomials :</h3>

3x^5y-2x^3y^4-7xy^3+(-8x^5y+2x^3y^4+xy^3)

=3x^5y-2x^3y^4-7xy^3-8x^5y+2x^3y^4+xy^3

=-5x^5y+0-6xy^3

=-5x^5y-6xy^3

Therefore 3x^5y-2x^3y^4-7xy^3+(-8x^5y+2x^3y^4+xy^3)=-5x^5y-6xy^3

In the simplified <u>sum of the polynomials</u> -5x^5y-6xy^3  we have <u>the degree is 6</u>

<h3>Now difference the polynomials </h3>

3x^5y-2x^3y^4-7xy^3-(-8x^5y+2x^3y^4+xy^3)

=3x^5y-2x^3y^4-7xy^3+8x^5y-2x^3y^4-xy^3

=11x^5y-4x^3y^4-8xy^3

Therefore 3x^5y-2x^3y^4-7xy^3-(-8x^5y+2x^3y^4+xy^3)=11x^5y-4x^3y^4-8xy^3

In the simplified <u>difference of polynomials</u> 11x^5y-4x^3y^4-8xy^3 we have <u>the degree is 7</u>

Therefore the option " The sum has degree of 6 , but the difference has a degree of 7 " is correct

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6x-24<br> 2x+12 <br> Solve for X
Makovka662 [10]

Answer:

x = 9

Step-by-step explanation:

Simplifying

6x + -24 = 2x + 12

Reorder the terms:

-24 + 6x = 2x + 12

Reorder the terms:

-24 + 6x = 12 + 2x

Solving

-24 + 6x = 12 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-24 + 6x + -2x = 12 + 2x + -2x

Combine like terms: 6x + -2x = 4x

-24 + 4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0

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-24 + 4x = 12

Add '24' to each side of the equation.

-24 + 24 + 4x = 12 + 24

Combine like terms: -24 + 24 = 0

0 + 4x = 12 + 24

4x = 12 + 24

Combine like terms: 12 + 24 = 36

4x = 36

Divide each side by '4'.

x = 9

Simplifying

x = 9

4 0
1 year ago
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tatiyna

The domain of a function are the possible input values of the function.

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The number of times one can visit the pool cannot be decimal.

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Read more about domain at:

brainly.com/question/15339465

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3 years ago
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