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astra-53 [7]
3 years ago
10

Factor completely. x^8- 1/84

Mathematics
1 answer:
timama [110]3 years ago
7 0
Factor the following:
x^8 - 1/84

Put each term in x^8 - 1/84 over the common denominator 84: x^8 - 1/84 = (84 x^8)/84 - 1/84:
(84 x^8)/84 - 1/84

(84 x^8)/84 - 1/84 = (84 x^8 - 1)/84:
Answer:  (84 x^8 - 1)/84
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<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

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20 + 0.25x < 10 + 0.50x

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20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

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