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Ne4ueva [31]
3 years ago
5

Find the slope (19, -16) (-7, -15

Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer:

Y-Intercept (-3,4) , (19,7). (−3,4) ( - 3 , 4 ) , (19,7) ( 19 , 7 ). Find the value of the slope.

Step-by-step explanation:

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A red candle is 8 inches y'all and burns at a rate of 7 divided by 10 inch per hour. A blue candle is 6 inches tall and burns at
lorasvet [3.4K]

Answer:

Both candles will have the same height after 4 hours.

Step-by-step explanation:

The equation for the amount of candle remaining can be given by the following equations:

Q(t) = Q(0) - at

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.

Red candle:

8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that Q(0) = 8, a = 7/10 = 0.7. So

Q_{r}(t) = 8 - 0.7t

Blue candle:

6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that Q(0) = 6, a = 1/5 = 0.2. So

Q_{b}(t) = 6 - 0.2t

After how many hours will both candles be the same height ?

This is t when

Q_{r}(t) = Q_{b}(t)

8 - 0.7t = 6 - 0.2t

0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2

Multiplying by (-1)

0.5t = 2

t = \frac{2}{0.5}

t = 4

Both candles will have the same height after 4 hours.

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4 years ago
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