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vlada-n [284]
2 years ago
5

Solve 729 s-⁵ = 3² (1-s) for S.​

Mathematics
1 answer:
sweet [91]2 years ago
5 0

Answer:

No real solutions.

Step-by-step explanation:

729s^-5 = 729/s^5

729/s^5 = 3^2(1-s) = 9(1-s)

729=9(1-s)(s^5)

(1-s)(s^5)=81

s^5-s^6=81

Because 81 > 0 this means s^6 must be less than s^5. This is never possible as 6 is even so is always positive and is always greater in magnitude than s^5. The only time this isnt the case is when s is a decimal less than 1, but then the difference would be also less than 1 and not 81.

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cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

<em><u>Explanation</u></em>

Suppose,  x gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be:  (35-x) gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the <u>distance traveled by the first car</u> in x gallons of gas =35x miles and the <u>distance traveled by the second car</u> in (35-x) gallons of gas =15(35-x) miles.

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