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andrey2020 [161]
3 years ago
7

What is the difference of rational expressions below 6x/x-3 - 5/x

Mathematics
1 answer:
swat323 years ago
5 0

Answer:

$  \frac{6x^2-5x+15 }{x^2-3x} $

Step-by-step explanation:

$\frac{6x}{x-3} -\frac{5}{x} $

$\frac{6x(x)}{x(x-3)} -\frac{5(x-3)}{x(x-3)} $

$\frac{6x^2}{x^2-3x} -\frac{5x-15}{x^2-3x} $

$  \frac{6x^2-5x+15 }{x^2-3x} $

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If the length is 7 more than 4 times the width of a rectangle and the perimeter is 74mm, what are the dimensions?
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Define x :
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Let the width be x
Width = x
Length = 4x + 7

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Formula :
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Perimeter = 2 (Length + Width)

Perimeter = 74
2(4x + 7 + x) = 74       // sub length and width into the equation
2(5x + 7) = 74             // combine like terms
10x + 14 = 74              // Apply distributive property
10x = 60                      // Take away 14 from both sides
x = 6                            // Divide by 10 on both sides

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Find Length and Width :
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Width = x = 6mm
Length = 4x + 7 = 4(6) + 7 = 31mm

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Answer: The length is 31mm and its width 6mm.
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