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2 years ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

Mathematics

2 answers:

topjm [15]2 years ago

5 0

Answer:

9xy^3 – 4y^4 – 10x^2 * y^2 + x^3 * y + 3x^4 + 2x^2 * y^2 – 9y^4

Step-by-step explanation:

Arranging the different terms of the polynomial:

3x^4 + x^3 * y – 10x^2 * y^2 + 2x^2 * y^2 + 9xy^3 – 4y^4 – 9y^4

3x^4 + x^3 * y – 8x^2 * y^2 + 9xy^3 – 13y^4

Therefore, the third choice is the correct answer

STatiana [176]2 years ago

4 0

Answer:

D. $3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

Step-by-step explanation:

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =$

$= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4$

$= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

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Why did the women of Seneca Falls choose to echo the language in the Declaration of Independence? Write one sentence to explain

sveta [45]

Answer:

Step-by-step explanation:

The women of the Seneca Falls Convention choose to echo the language of the Declaration of Independence for multiple reasons including:

A) Evoke an emotional response- The Declaration of Independence is often referred to in important speeches as a way to remind Americans of the reasoning for why we became a free nation during the late 18th century.

B) Show that they deserve similar rights to men- The Declaration of Independence says that "all men" are created equal. The women of this convention changed that wording to say that all people are equally and deserve equal treatment in the eyes of the law.

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6 0

2 years ago

Read 2 more answers

Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they canno

tensa zangetsu [6.8K]

<h2>Answer with explanation:</h2>

As per given , we have

$\hat{p}=0.48$ , n=331

Critical value for 90% Confidence interval : $z_{\alpha/2}=1.645$

a) Confidence interval :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.48\pm (1.645)\sqrt{\dfrac{0.48(1-0.48)}{331}}\\\\\approx 0.48\pm0.02746\\\\=(0.48-0.02746,\ 0.48+0.02746)\\\\=(0.45254,\ 0.50746)$

Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it : $(0.45254,\ 0.50746)$

b) Margin of error : E=1.5%=0.015

Formula for sample size : $n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

For p =0.48 , we have

$n=0.48(1-0.48)(\dfrac{1.645}{0.015})^2=3001.88373333\approx3002$

Hence, the required sample size to survey = 3002

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2 years ago

Tom says he is comparing banks to see what interest rates they offer on savings accounts. Explain how Tom should use the informa

dolphi86 [110]

~Hello There!~

Tom should choose the bank that offers the highest interest rate because that would mean he makes more money.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

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2 years ago

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Identify the independent and dependent variables in the following hypothesis: "People who exercise regularly are more likely to

JulijaS [17]

Answer:

Independent

dependent

Step-by-step explanation:

The scenario illustrates that the weight for people who exercises regularly tends is normal or below normal. It means that the weight of a person depends on how much a person exercises i.e. if person exercises more the weight is reduced and if not then weight will be gained. Thus, exercise is the independent variable while weight is dependent variable.

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2 years ago

A student said “we can’t find the area of the shaded region because the shape has many different measurements, instead of just a

nikdorinn [45]

The student's statement about area is incorrect because by joining suitable lines, we can divide the region into 3 rectangles and we can find its area.

Please check the attached figure.

From the figure, we can easily observe that the area of the shaded region = Area of the rectangle A + Area of the rectangle B - Area of the rectangle C.

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2 years ago