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Deffense [45]
3 years ago
12

Explain how to use a polynomial identity to factor x^6-27y^3

Mathematics
2 answers:
Umnica [9.8K]3 years ago
6 0
Dont really no sorry
Taya2010 [7]3 years ago
5 0

This is a sum of cubes:

<em>x</em>⁶ - 27<em>y</em>³ = (<em>x</em>²)³ + (-3<em>y</em>)³

Recall that

<em>a</em>³ + <em>b</em>³ = (<em>a</em> + <em>b</em>) (<em>a</em>² - <em>ab</em> + <em>b</em>²)

So we have

<em>x</em>⁶ - 27<em>y</em>³ = (<em>x</em>² - 3<em>y</em>) ((<em>x</em>²)² - <em>x</em>² (-3<em>y</em>) + (-3<em>y</em>)²)

<em>x</em>⁶ - 27<em>y</em>³ = (<em>x</em>² - 3<em>y</em>) (<em>x</em>⁴ + 3<em>x</em>²<em>y</em> + 9<em>y</em>²)

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Solve for x. 7(x - 3) 3(4 - x) = -8 x = 1/4 x = 25/10 x = -16/19 x = -41/10
Ann [662]
7(x - 3) + 3(4 - x) = -8
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7x - 3x = -8 + 21 - 12
4x = 1
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3 years ago
Which explanation is an accurate way to describe the solution to a system of equations by using a graph?
Volgvan
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3 years ago
Suppose that you work for the child social services agency in your county. Your job is to investigate instances of possible chil
True [87]

Answer:

Null hypothesis: ∪ =  No possible child abuse or neglect

Alternative hypothesis: Uₐ = Possible child abuse or neglect

Step-by-step explanation:

Null hypothesis: ∪ =  No possible child abuse or neglect

Alternative hypothesis: Uₐ = Possible child abuse or neglect

A type I error occurs when you reject the null hypothesis when it is true. In this situation, a type I error occurs when you conclude on possible child neglect or abuse and place the child in protective custody

A type II error occurs when you accept the null hypothesis when it is false. In this instance, a type II error occurs when you conclude on no possible child abuse or neglect when there is and fail to remove the child from the home.

In this case, the type II error is the more serious error. Failure to remove the child when there is possible child abuse or neglect will lead to more detrimental effect. Although, the type I error is also serious, it is not so detrimental as the type II error.

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Answer: b) τ = 0.3

Step-by-step explanation:

Given the data :

Amount of salt (x)____% body fat(y)

0.2 _______________20

0.3 _______________30

0.4 _______________22

0.5 _______________30

0.7 _______________38

0.9 _______________23

1.1 ________________30

The correlation Coefficient as obtained from the online pearson correlation Coefficient calculator is 0.3281 = 0.3 (to one decimal place) which implies that a weak positive correlation or relationship exists between the preferred amount of salt taken to the percentage body weight of an individual. This is because the value is positive and closer to 0 than 1. The closer the weaker the degree of correlation. With positive values implying a positive relationship (that is an increase in variable A leads to a corresponding increase in B and vice-versa).

4 0
3 years ago
How to find the perimeter of a parallelogram
jonny [76]
Perimeter is the sum of all the sides of the shape

do you know the length of each side of the parallelogram?

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