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3 years ago

10

46 Two light houses ash their lights every 30 seconds and 40 seconds respectively. Given that they last ashed together at 10:40

A.M., when will they next ash together? (Chapter 1)

1 answer:

IRISSAK [1]3 years ago

8 0

30,60,90,120
40,80,120

they will both " ash " in 120 seconds (thats 2 minutes)...so they will both ash at
10:42 a.m.

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2 years ago

What 2 numbers multiply to be -14 and add to be -3

Svetach [21]

Xy = -14
x + y = -3

$xy = -14$
$\frac{xy}{x} = \frac{-14}{x}$
$y = \frac{-14}{x}$

$x + y = -3$
$x + \frac{-14}{x} = -3$
$\frac{x^{2}}{x} + \frac{-14}{x} = -3$
$\frac{x^{2} - 14}{x} = -3$
$x^{2} - 14 = -3x$
$x^{2} + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}$
$x = \frac{-3 \± \sqrt{9 + 56}}{2}$
$x = \frac{-3 \± \sqrt{65}}{2}$
$x = \frac{-3 \± 8.06}{2}$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

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2.53 + y = -3
- 2.53 - 2.53
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  (x, y) = (2.53, -5.53)

x + y = -3
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  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

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