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Contact [7]
3 years ago
5

8(За + 6) = 9(2а — 4)

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer: <em>A = -14</em>

Step-by-step explanation:

<em>First, remove the parentheses</em>

<em>8(3a+6) =9(2a-4)</em>

<u><em>24a+48=9(2a-4)</em></u>

<em>Move the terms</em>

<em>24a+48=18a-36</em>

<u><em>24a-18a+48=-36</em></u>

<em>Collect the like terms (Calculate)</em>

<em>24a-18a=-36-48</em>

<u><em>6a=-36-48</em></u>

<em>Divide by both sides</em>

<em>6a=-84</em>

<em>Solution: a=-14</em>

<u><em /></u>

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Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per​ month, whe
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Answer:

S(t) = -18t^\frac{5}{3}+2440

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Step-by-step explanation:

Given function that shows the change rate of computers,

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S(t) = -30 (\frac{t^{\frac{2+3}{3}}}{\frac{2+3}{3}})+C

S(t) = -30(\frac{t^\frac{5}{3}}{\frac{5}{3}})+C

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According to the question,

S(0) = 2,440,

\implies -18(0)^\frac{5}{3}+C=2440\implies C = 2440

Hence, the required function,

S(t) = -18t^\frac{5}{3}+2440

If S(t) = 1,000,

-18t^\frac{5}{3}+2440=1000

-18t^\frac{5}{3}=-1440

t^\frac{5}{3}=80

t = (80)^\frac{3}{5}\approx 13.86

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