Mathematics, 13.07.2019 18:00 andres2865

Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3? both the sum and difference have a degree of 6. both the sum and difference have a degree of 7. the sum has a degree of 6, but the difference has a degree of 7. the sum has a degree of 7, but the difference has a degree of 6.

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Answer from: cynayapartlow88

The correct answer is C) The sum has a degree of 6, but the difference has a degree of 7.

In order to find the correct answer, we first have to find the sum and difference. We'll start with the sum.

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

By combining like terms we get the following.

-5x^5y -6xy^3

The term with the most amount of variables is the first one which has 5 x's and 1 y. As a result, it is a 6th degree polynomial.

For the difference, we have the following.

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

Which simplifies to

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

The term in this final simplification with the most variables is the second one, with 3 x's and 4 y's. As a result, there are 7 variables and it is a 7th degree.

Answer from: ashton100426owz1ly

Option 3 - The sum has a degree of 6, but the difference has a degree of 7.

Step-by-step explanation:

Given : Polynomials 3x^5y - 2x^3y^4 - 7xy^3 and -8x^5y+ 2x^3y^4+ xy^3

To find : Which is true about the degree of the sum and difference of the polynomials ?

Solution :

First we find the sum and the difference of the polynomials,

Sum of polynomials,

=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-6xy^3

The degree of the sum polynomial is 6.

Difference of polynomials,

=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

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

The degree of the difference polynomial is 7.

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

So, Option 3 is correct.

Answer from: Quest

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒ $x\frac{60}{100}=45$

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

$\frac{x(.6)}{(.6)}= \frac{45}{(.6)}$

⇒ x = 75

therefore 75 tickets have been sold so far.

Answer from: Quest

answer:

123455421

step-by-step explanation: easy

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