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GREYUIT
2 months ago
6

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?

Mathematics
2 answers:
Zina [12.3K]2 months ago
6 0

Answer:

This expression represents a binomial with a total degree of 6.

Step-by-step explanation:

We start with

(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)

Combine the terms that have the same variable.

(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y

0-2xy^{5}+3x^{4}y

-2xy^{5}+3x^{4}y

The resulting expression is a binomial (consisting of two terms) with a degree of 6.

-2xy^{5} exhibits a degree of 6, because x has an exponent of 1, y has an exponent of 5, and summing 1 and 5 yields 6.

tester [12.3K]2 months ago
5 0

Answer:

D

Step-by-step explanation:

The resulting expression is a binomial with a degree of 6.

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3x+8+2ax≥3ax−4a what is x?
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X≥
- \frac {4 (2 + a)}{3 - a}
to resolve the inequality, identify the roots and establish testing intervals.
7 0
2 months ago
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About ten percent of users do not close Windows properly. Suppose that Windows is installed in a public library that is used by
lawyer [12517]

Answer:

Refer to the explanation

Step-by-step explanation:

As approximately 10% of users fail to close Windows properly, we determine:

  • The likelihood that a user neglects to shut down Windows correctly is p=0.1;
  • The likelihood that a user shuts the Windows properly is q=1-p=1-0.1=0.9.

A. On average,

  • one in ten users does not close Windows correctly;
  • 10 out of 100 users fail to close Windows correctly.

B. The likelihood that precisely 8 out of the next 10 users will close Windows correctly is

C^{10}_8\cdot q^{8}p^{10-8}=\dfrac{10!}{8!(10-8)!}\cdot (0.9)^8\cdot (0.1)^2=45\cdot (0.9)^8\cdot (0.1)^2\approx 0.1937

6 0
3 months ago
Which distribution exhibits a negative skew?
zzz [12365]

<span>Skewness serves as a descriptive statistic in the analysis of data distribution. In the realm of finance and investing, skewness is considered alongside other statistics such as kurtosis and value at risk (VAR). When assessing investment returns, skewness reflects the asymmetry present in these returns. Normally distributed data sets will have a skewness of zero, whereas investment returns frequently deviate from a normal distribution. 

In graphs showcasing investment returns displaying positive skewness, this indicates that: mean > median > mode. Conversely, a negative skewness reveals the relationship: mean < median < mode. 

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4 0
1 month ago
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Which property does each equation demonstrate? x2 + 2x = 2x + x2 (3z4 + 2z3) – (2z4 + z3) = z4 + z3 (2x2 + 7x) + (2y2 + 6y) = (2
babunello [11817]

Response:

1. Closure

2. Distributive

3. Closure

Detailed explanation:

In this scenario, we are examining the properties that each equation demonstrates.

The first equation shows the closure property.

This indicates that whether we add in one direction or the other, the result remains unchanged. Therefore, we conclude that addition conforms to the closure property in this case.

The third equation also shows the closure property. Regardless of how we approach the addition for this equation, the outcome remains consistent.

The second equation displays the distributive property.

Each element within the parentheses is multiplied by the negative sign before we proceed with further calculations.

5 0
2 months ago
Rajan had 6000 RS in his bank account on a particular day a week later he deposited 150p RS and next day he had withdraw 1/3rd o
babunello [11817]

Answer: After the withdrawal, Rajan's bank balance will be

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Step-by-step explanation:

Initially, Rajan had 6000 RS in his bank account about a week ago. This indicates that the initial balance he possessed is 6000 RS.

One week later, he credited 150p RS to his account.

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The following day, he withdrew one-third of his total balance. Therefore, the amount withdrawn is

1/3 × 6150 = 6150/3 = 2050 RS

After the withdrawal, his remaining balance in the bank will be the new total minus the amount withdrawn.

His remaining balance in the bank account post-withdrawal will be

6150 RS - 2050 RS = 4100 RS

4 0
2 months ago
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