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3 years ago

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

1 answer:

5 0

Sum:

3x^5*y - 2x^3*y^4 - 7x*y^3
+ -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
-5x^5y - 6xy^3

Term 1: Degree = 6
Term 2: Degree = 4

Difference:

3x^5*y - 2x^3*y^4 - 7x*y^3
- -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
11x^5y - 4<span>x^3*y^4 - 8</span>xy^3

Term 1: Degree = 6
Term 2: Degree = 7
Term 3: Degree = 4

The degree of a term of a polynomial can be obtained by adding the exponents of the variables in that term.

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Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

$(x_1, y_1) ,....,(x_n,y_n)$

For this case we assume that we want to find a linear regression model given by:

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Where:

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So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

$(x_1, y_1) ,....,(x_n,y_n)$

For this case we assume that we want to find a linear regression model given by:

$\hat y = \hat m x +\hat b$

Where:

$\hat m$ represent the estimated slope for the model

$\hat b$ represent the estimated intercept for the model

And for any estimation of the dependent variable $\hat y_i , i=1,...,n$ is given by this model.

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So the best option for this case is:

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[0 0 0]

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Step-by-step explanation:

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