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Fed [463]
2 years ago
7

What is the product? startfraction x squared minus 16 over 2 x 8 endfraction times startfraction x cubed minus 2 x squared x ove

r x squared 3 x minus 4 endfraction
Mathematics
1 answer:
melamori03 [73]2 years ago
4 0

The product of the given expression is \frac{x(x-1)(x-4)}{2(x+4)} OR \frac{x(x^{2} -5x+4)}{2x+8} OR \frac{x^{3} -5x^{2} +4x}{2x+8}

<h3>Simplifying fractions </h3>

From the question, we are to determine the product of the given expressions

The given expressions are

\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}

\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}

\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}
\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}

\frac{x(x-1)(x-4)}{2(x+4)}

OR

\frac{x(x^{2} -5x+4)}{2x+8}

OR
\frac{x^{3} -5x^{2} +4x}{2x+8}

Hence, the product of the given expression is \frac{x(x-1)(x-4)}{2(x+4)} OR \frac{x(x^{2} -5x+4)}{2x+8} OR \frac{x^{3} -5x^{2} +4x}{2x+8}

Learn more on Simplifying fractions here: brainly.com/question/27038950

Here is the complete and correct question:

What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction

#SPJ4

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Step-by-step explanation:

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                                       Q(0) = Q_o

                                       Q_o = C*e^(-r*0)

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                                       Q(t) = Q_o*e^(-r*t)

- We are also given that the half life of carbon is t = 5730 years:

                                       Q_o / 2 = Q_o*e^(-5730*r)

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                                        r = -Ln(0.5)/5730

                                        r = 0.000120968          

- Hence, our expression for Q(t) would be:

                                       Q(t) = Q_o*e^(-0.000120968*t)                                    

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