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BartSMP [9]
3 years ago
14

Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points) Part B: Explain th

e closure property as it relates to polynomials. Give an example. (5 points)
Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer:

look down

Step-by-step explanation:

Part A

5x 3y^3 2z

I know it is in standard form because there are no more like terms.

Part B: The closure property with regards to polynomials states that polynomials are always closed under multiplication. The coefficients and the exponents can change unlike in addition and subtraction. The variables and coefficients also automatically fit in a polynomial.

Example of multiplication under polynomials.

A*1 = A

A = 6,

6*1=6

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T+18.1=23.9 solve each equation check answer
ollegr [7]

Answer:

5.8 + 18.1 = 23.9

Step-by-step explanation:

23.9 - 18.1 = 5.8

Have a great day!

6 0
3 years ago
Read 2 more answers
A person swims 6.4 meters per
pishuonlain [190]

Using the slope concept, it is found that the angle of the swimmer's resultant vector is of 71.83º.

<h3>What is a slope?</h3>
  • The slope is given by the <u>vertical change divided by the horizontal change.</u>
  • It's also the tangent of the <u>angle of depression.</u>

In this problem:

  • The person swims 6.4 meters per second north, hence the vertical change is of 6.4.
  • The person is being pushed by a current moving west at 2.1 meters per second, hence the horizontal change is 2.1.

Then, considering that the slope is the tangent of the angle of depression \theta, which is also the angle of the  swimmer's resultant vector, we have that:

\tan{\theta} = \frac{6.4}{2.1}

\tan{\theta} = 3.04761904762

Using a trigonometric calculator:

\arctan{\tan{\theta}} = \arctan{3.04761904762}

\theta = 71.83^{\circ}

The angle of the swimmer's resultant vector is of 71.83º.

You can learn more about the slope concept at brainly.com/question/26125945

5 0
3 years ago
What is the graph of a quadratic equation known as?
Arte-miy333 [17]

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola.

Step-by-step explanation:

4 0
4 years ago
It takes the hot water faucet 4 times as long to fill a bathtub as it does the cold water faucet. Left on together, the cold and
Debora [2.8K]

If it takes the cold water faucet x minutes to fill 1 tub, then its flow rate is (1 tub)/(x min).

The hot water faucet takes 4 times as long, so its flow rate is (1 tub)/(4x min).

Together, the total flow rate is (1 tub)/(3 min), so we have

\dfrac1x+\dfrac1{4x}=\dfrac13

\implies\dfrac5{4x}=\dfrac13

\implies15=4x

\implies x=\dfrac{15}4\,\text{min}=3\,\text{min}\,45\,\text{sec}

3 0
3 years ago
Solve for x^2 + 12x + 27=0
frozen [14]
X equals negative three (-3) and negative nine (-9) (x=-3,-9)
7 0
3 years ago
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