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elena-s [515]
3 years ago
8

What is the greatest common factor (GCF) of the numerator and denominator

Mathematics
2 answers:
lesya [120]3 years ago
6 0

Answer: x+5

Step-by-step explanation:

A

P

E

X

ad-work [718]3 years ago
4 0

Answer:

C

Step-by-step explanation:

x²+2x-15 = x²-3x+5x-15 = x(x-3)+5(x-3)=(x+5)(x-3)

or delta:

∆=2²-4*1*(-15)=4+60=64

√∆=8

x1 = (-2+8)/2 = 3

x2=(-2-8)/2=-5

and 4x+20 = 4(x+5)

The same is (x+5), so it is GCF. answer C

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Question
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Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.

The polynomial is;. 3w³ + 22w + 24w = 5440ft³.

From the question;

  • <em>Let the width = w</em>
  • <em>length,</em><em> </em><em>l</em><em> = 3w + 4</em>
  • <em>height,</em><em> </em><em>h</em><em> = w + 6</em>

<em>The </em><em>volume </em><em>of </em><em>a </em><em>rectangular</em><em> </em><em>prism </em><em>is </em><em>given </em><em>by </em><em>the </em><em>product </em><em>of </em><em>its </em><em>length,</em><em> </em><em>width </em><em>and </em><em>height.</em><em> </em><em>Thus</em><em>;</em>

Volume = l × w × h

Therefore, Volume, V = (3w +4) × w × (w +6)

To obtain the required polynomial, we expand the expression for Volume above;

<em>V = (3w² + 4w) × (w + 6)</em>

<em>V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.</em>

However, the volume of the rectangular prism has been given to be 5440 cubic feet.

Therefore, the polynomial is;

3w³ + 22w + 24w = 5440ft³.

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brainly.com/question/9740998

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