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satela [25.4K]
4 years ago
15

Two weeks ago Audrey earned 84$ for 7 hours of work this week she earned 132$ for 11 hours of work find the numerical value of t

he slope of the line that represents Audrey's earnings.

Mathematics
1 answer:
natima [27]4 years ago
3 0
The slope of the line is 12
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If number of nickel = n
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. If α and β are the roots of
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Answer:

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Step-by-step explanation:

<u><em>Given Equation is </em></u>

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=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = -\frac{b}{a}

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<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = \frac{\alpha }{\beta } + \frac{\beta }{\alpha }

Sum of Roots = \frac{\alpha^2+\beta^2  }{\alpha \beta }

Sum of Roots = \frac{(\alpha+\beta )^2-2\alpha\beta   }{\alpha\beta  }

Sum of roots = (\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}

Sum of roots = \frac{49}{4} + 9 /\frac{-9}{2}

Sum of Roots = \frac{49+36}{4} / \frac{-9}{2}

Sum of roots = \frac{85}{4} * \frac{2}{-9}

Sum of roots = S = -\frac{85}{18}

Product of Roots = \frac{\alpha }{\beta } \frac{\beta }{\alpha }

Product of Roots = P = 1

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=> x^2-Sx+P = 0

=> x^2 - (-\frac{85}{18} )x+1 = 0

=> x^2 + \frac{85}{18}x + 1 = 0

=> 18x^2+85x+18 = 0

This is the required quadratic equation.

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