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3 years ago

Which choice is the appropriate simplified form n restriction for the variable 3x^2 + 6x / x^2 - 2x - 8

1 answer:

3 0

$\frac{3x^{2}+6x}{x^{2}-2x-8} = \frac{3x(x+2)}{(x-4)(x+2)}= \frac{3x}{x-4} 
\\ \\ \frac{3x}{x-4} , x \neq 4$

$x \neq -2$

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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:

$Q(t) = Q(0) - at$

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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

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

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

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$t = \frac{2}{0.5}$

$t = 4$

Both candles will have the same height after 4 hours.

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4 years ago