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musickatia [10]
3 years ago
7

Simplify the following expression using the distributive property: 2x(y+ 3xy + 4x + 3)

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

6 x 3 y − 9 x 3 y 2 + 12 x 4 y 3

Step-by-step explanation:

I've had this before

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30 b/c 60 x 1/2= 30

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A rectangle has an area of 36 square units. As the length and the width change, what do you know about their product? Is this le
m_a_m_a [10]
Area = 36 = length*width

Then, while the area is constant the product length*width is constant.

Length and area are inversely related.

That means that to keep the same product (area), length vary in inverse proportion to width.

If you increase length, widht has to decrease to satisfy this relation:

width = 36/length

Of course, you can also say: length = 36 / width.
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Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu
Softa [21]

<u>Answer-</u>

<em>The polynomial function is,</em>

y=x^4-10x^3+38x^2-64x+40

<u>Solution-</u>

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))   ( ∵ (3-i) is the conjugate of (3+i) )

\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)

\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)

\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)

\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)

\Rightarrow y=(x^2-4x+4)(x^2-6x+10)

\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10

\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40

\Rightarrow y=x^4-10x^3+38x^2-64x+40

Therefore, this is the required polynomial function.


4 0
3 years ago
7 less than 4 times a number is 5 less than 6 times the same number. Find the number.
Alex73 [517]

Answer:  -1

Step-by-step explanation:

(4*X-7) = (6X -5)

4X -7 = 6X - 5

2X = -2

X = -1

5 0
2 years ago
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