A13-inch candle is lit and burns at a constant rate of 1.5 inches per hour. let t represent the number of hours that have elapsed since the ca
was lit.
mille
a. write an expression in terms of t that represents the number of inches that have burned from the candle since it was lit.
willem
13-t
*
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b. write an expression in terms of t that represents the remaining length of the candle (in inches).
13-1.5x
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me

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Ответ:

lalaween098

13.03.2022

Mathematics

$\frac{(2x - 3)}{(x + 4)(x - 2)} = \frac{1}{5} \\ \frac{2x - 3}{x {}^{2} - 2x + 4x - 8} = \frac{1}{5} \\ x {}^{2} - 2x + 4x - 8 = 5(2x - 3) \\ x {}^{2} + 2x - 8 = 10x - 15 \\ x {}^{2} + 2x - 10x = - 15 + 8 \\ x { }^{2} - 8x = - 7 \\ x {}^{2} - 8x + 7 = 0 \\ x {}^{2} - x - 7x + 7 = 0 \\ x(x - 1) + 7(x - 1) \\ x + 7 = 0 \\ x = - 7or \\ x - 1 = 0 \\ x = 1$

Step-by-step explanation:

x=7 or x=1

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