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1 year ago

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

Mathematics

2 answers:

topjm [15]1 year 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]1 year 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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The function A(b) relates the area of a trapezoid with a given height of 10 and

Natali5045456 [20]

The function of the trapezoid area is:

A(x)=(B+b)*h/2

Where B and b are the bases and h is the height.

With the given data: h=10 B and b =7 and x (it may vary which one is bigger)

-----------

So that function becomes:

A(x)=(7+x)*10/2

A(x)=(7+x)*5

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So if you want the inverse function, you have to operate to find x:

A(x)/5=7+x

A(x)/5-7=x

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So the new function is:

x(A)=A/5-7

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2 years ago

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1 year ago

The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 ha

givi [52]

They have 265 who claimed ancerysty

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2 years ago

The championship record in baseball in a certain year was 52 games won, and 14 lost. What percent of the games were won?

slamgirl [31]

Number of games won/Number of total games played x 100%

52/66 x 100% = 78.79%

Hope u understood! :)

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2 years ago

An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t

gregori [183]

Answer:

probability that all of the sprinklers will operate correctly in a fire: 0.0282

Step-by-step explanation:

In order to solve this question we will use Binomial probability distribution because:

In the question it is given that the sprinklers activate correctly or not independently.
The number of outcomes are two i.e. sprinklers activate correctly or not.

A binomial distribution is a probability of a success or failures outcomes in an repeated multiple or n times.

Number of outcomes of this distributions are two.

The formula is:

b(x; n, P) = $C_{n,x}*p^{x} * (1 - p)^{n-x}$

b = binomial probability also represented as P(X=x)

x =no of successes

P = probability of a success on a single trial

n = no of trials

$C_{n,x}$ is calculated as:

$C_{n,x}$ = n! / x!(n – x)!

= 10! / 10!(10-10)!

= 1

According to given question:

probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.

number of trials i.e. n = 10 as number of sprinklers are 10

To find: probability that all of the sprinklers will operate correctly in a fire

X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them

So putting these into the formula:

P(X=x) = $C_{n,x}*p^{x} * (1 - p)^{n-x}$

= C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰

= 1 * 0.0282 * (0.3) ⁰

= 1 * 0.0282 * 1

P(X=x) = 0.0282

5 0

1 year ago