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2 years ago

15

The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If

his sister Sydney had a fee of $1.92 for a late book, how many days late was the book?

1 answer:

Nataly [62]2 years ago

4 0

Answer:

16

Step-by-step explanation:

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Step-by-step explanation:

The given quadratic equation is

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Group the constant terms on the right hand side.

$5x^2-7x=0-2$

$5x^2-7x=-2$

Divide through by 5.

$x^2-\frac{7}{5}x=-\frac{2}{5}$

Add the square of half the coefficient of x., which is $(\frac{1}{2}\times- \frac{7}{5})^2=\frac{49}{100}$ to both sides of the equation.

$x^2-\frac{7}{5}x+\frac{49}{100}=-\frac{2}{5}+\frac{49}{100}$

The left hand side is now a perfect square.

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$x-\frac{7}{10}=\pm \frac{3}{10}$

$x=\frac{7}{10}\pm \frac{3}{10}$

$x=\frac{7-3}{10}$ or $x=\frac{7+3}{10}$

$x=\frac{4}{10}$ or $x=\frac{10}{10}$

$x=1$ or $x=\frac{2}{5}$

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