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3 years ago

8x^4+24x^3-27x-81 what is the polynomial factor?

1 answer:

3 0

$8x^4+24x^3-27x-81=8x^3(x+3)-27(x+3)\\\\=(x+3)(8x^3-27)=(x+3)(2^3x^3-3^3)=(x+3)[(2x)^3-3^3]\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(x+3)(2x-3)[(2x)^2+(2x)(3)+3^2]\\\\=\boxed{(x+3)(2x-3)(4x^2+6x+9)}$

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Write an inequality to represent the graph. a dashed line passing through points 0 comma negative 3 and 2 comma 2 with shading a

Arturiano [62]

Answer:

y > 2.5x - 3

Step-by-step explanation:

(0,-3) and (2,2)

Slope: (2--3)/(2-0) = 5/2

Y-intercept is -3

Above the line:

y > (5/2)x - 3

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3 years ago

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How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word

Sergio [31]

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

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3 years ago

The Table Shows a proportional relationship between x and y for each Value of x and y match it to the correct unit rate y/x in i

Elden [556K]

The correct proportions are given as follows:

x = 3, y = 27: 9/1.

x = 9, y = 81: 9/1.

x = 21, y = 126: 6/1.

x = 14, y = 84: 6/1.

x = 12, y = 36: 3/1.

x = 15, y = 45: 3/1.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportions for this problem are given dividing y by x, hence:

x = 3, y = 27: 27/3 = 9, hence 9/1 has to be marked.

x = 9, y = 81: 81/9 = 9, hence 9/1 has to be marked.

x = 21, y = 126: 126/6 = 6, hence 6/1 has to be marked.

x = 14, y = 84: 84/14 = 6, hence 6/1 has to be marked.

x = 12, y = 36: 36/12 = 3, hence 3/1 has to be marked.

x = 15, y = 45: 45/15 = 3, hence 3/1 has to be marked.

More can be learned about proportions at brainly.com/question/24372153

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2 years ago

2-2(x-25) what is the answer?

BartSMP [9]

Answer:

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Step-by-step explanation:

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