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Ilia_Sergeevich [38]
3 years ago
14

Marcus states that the polynomial expression 3x3 – 4x2y + y2 + 2 is in standard form. Ariel states that it should be y2 – 4x2y +

3x3 +2. Which student is correct and why?
Mathematics
2 answers:
lubasha [3.4K]3 years ago
4 0
The degree of a polynomial is the highest power of its terms.
The power of a term is the sum of the powers of all the variables in a term.
A polynomial is written starting with the greatest power in standard form.
In the first case, the power of the first term is 3, the power of the second is 3 (2 from x + 1 from y) but the power of x has decreased so it is the second term, and then so on. 
In the second case, the power is starting form 2 and then increasing to 3. This is incorrect.
Therefore, Marcus' suggestion is correct.
Irina-Kira [14]3 years ago
4 0

Here is the sample response:

They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.

You can paraphrase your answer and you should be fine.

Good luck!

-RxL

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Based on a poll of 100 citizens, a community action group claims that 38% of the population is in favor of the construction of a
tatyana61 [14]

Answer:

(0.55, 0.75)

Step-by-step explanation:

The range can be estimated to be 6 standard deviations wide.  Therefore, the standard deviation is:

σ = (0.72 - 0.42) / 6

σ = 0.05

The margin of error is ±2σ, so:

ME = ±0.10

Therefore, the interval estimate is:

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8 0
2 years ago
A blimp provides aerial tv views of a soccer game. The camera sights the stadium at a 7 degree angle of depression. The altitude
maria [59]

Given that,

The camera sights the stadium at a 7 degree angle of depression.

The altitude of the blimp i slide 300 m.

To find,

The line of sight distance from the camera to the stadium.

Solution,

If we consider a right angled triangle. Let x is its hypotenuse i.e. the line of sight distance from the camera to the stadium. Using trigonometry :

\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\=\dfrac{300}{\sin7}\\\\=2461.65\ m

So, the line of sight is at a distance of 2461.65 m from the camera to the stadium.

6 0
3 years ago
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large
anzhelika [568]

Answer:

10 cm.

Step-by-step explanation:

We'll begin by calculating the area of the small bubble. This can be obtained as follow:

Radius (r) = 5 cm

Area (A) =?

Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:

A = πr²

A = π × 5²

A = 25π cm²

Next, we shall determine the total area of the small bubbles. This can be obtained as follow:

Area of 1 bubble = 25π cm²

Therefore,

Area of 4 bubbles = 4 × 25π cm²

Area of 4 bubbles = 100π cm²

Finally, we shall determine the radius of the large bubble. This can be obtained as follow:

Area of large bubble = total area of small bubbles = 100π cm²

Radius (r) =?

A = πr²

100π = πr²

100 = r²

Take the square root of both side

r = √100

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Thus, the radius of the large bubble is 10 cm

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2 years ago
What is the center of the data in the dot plot? Number of Minutes to Finish the Quiz mc010-1.jpg
Oliga [24]
The answer is 13. Or the third choice, just took the test.
6 0
3 years ago
(5x+3)(7x-7) how do find x
Delvig [45]

We can use the FOIL method to solve.

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0 + 0

0

Best of Luck!

6 0
3 years ago
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