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Serggg [28]
3 years ago
15

Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w

hat is the original price to the nearest cent?
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
$26.79
If you took 30% of 26.79 you get 8.037
Subtract: 26.79-8.037 = 18.753
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\large\boxed{a(x+4)(x-5)=0,\ a\in\mathbb{R}-\{0\}}\\\\\text{for}\ a=1\to\boxed{x^2-x-20=0}

Step-by-step explanation:

\text{If}\ x_1\ \text{and}\ x_2\ \text{are the roots of the quadratic equation}\ ax^2+bx+c=0,\\\text{then}\ ax^2+bx+c=a(x-x_1)(x-x_2).\\\\\text{If}\ x_1\ \text{and}\ x_2\ \text{, then they are the roots of the quadratic equation.}\\\\\text{We have}\ x_1=-4\ \text{and}\ x_2=5.\ \text{Therefore we have the equation:}\\\\a(x-(-4))(x-5)=0\\\\a(x+4)(x-5)=0\qquad\text{for any value of}\ a\ \text{except 0}.

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