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Rus_ich [418]
3 years ago
14

Which rational expression is equal to a positive whole number when evaluated?

Mathematics
2 answers:
trapecia [35]3 years ago
6 0

Answer:

B) 8^1/3

Step-by-step explanation:

It is B) 8 ^1/3

we can write 8 as 2^3

8^1/3 = (2^3)^1/3

= 2^3/3        [3/3 = 1]

= 2^1

= 2 which is a whole number.

Answer: B) 8^1/3

Hope this will helpful.

Thank you.

trasher [3.6K]3 years ago
4 0
8^1/3 8 is 2^3 so 8^1/3 = 2 The other expresssions don't give whole numbers.
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Natali [406]
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
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Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
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To solve, we should multiply both sides by 5 to get rid of the denominator on the variable a.

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2/3g + 6 = -12

To solve this equation, we should begin by subtracting 6 from both sides.

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Answer: the answer is -52

Step-by-step explanation:  hope that helped

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