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VladimirAG [237]
3 years ago
8

Find the degree of the polynomial 2x^4y^2+9x^2y^5-3x^4y^4

Mathematics
2 answers:
coldgirl [10]3 years ago
8 0

Answer:

the polynomial has degree 8

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term  2\,x^4\,y^2  contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6

2) term  9\,x^2\,y^5  contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7

3) term  -3\,x^4\,y^4  contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8

This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.

zalisa [80]3 years ago
3 0

Answer:

Degree 8.

Step-by-step explanation:

Check each term for the highest degree:

3x^4y^4 has degree 4 + 4 = 8.

The others have degree 6 and 7.

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-8.0 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Number
grigory [225]

Answer:

Integer and Rational Number

Step-by-step explanation:

Natural numbers are positive numbers starting at 1 and going onward.  Since -8.0 is not a positive number, it is not a natural number.

Whole numbers are natural numbers and 0 altogether.  -8 is not greater than zero or positive, so it is not a whole number.

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.  -8.0 can also be written as -8/1, so it is a rational number and an integer, since every integer is a number over 1 and also a rational number.

7 0
3 years ago
A survey of 90 men found that an average amount spent on St. Patrick's day of $55 with a standard deviation of $18. A similar su
dem82 [27]

Answer:

The value of the test statistic is 4.70.

Step-by-step explanation:

The hypothesis for this test can be defined as follows:

<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.

<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.

The population standard deviations are not known.

So a <em>t</em>-distribution will be used to perform the test.

The test statistic for the test of difference between mean is:

t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }

Given:

\bar x_{1}=55\\s_{1}=18\\n_{1}=90\\\bar x_{1}=44\\s_{1}=16\\n_{1}=86

Compute the value of the test statistic as follows:

t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }=\frac{55-44}{\sqrt{\frac{15^{2}}{90}+\frac{16^{2}}{86} }}=4.70

Thus, the value of the test statistic is 4.70.

7 0
3 years ago
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Where is below? there is no picture or numbers to answer to
5 0
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Bulletin board is 8 feet long and 5 feet wide. How many feet of border does it need?
Musya8 [376]
8 × 5 = 40

So the border has to be 40 feet.

Hope this helps!

Work:

length × width = answer

length = 8
width = 5
answer = 40
7 0
3 years ago
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Deffense [45]
\sin B=\dfrac{24}{25}
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