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3 years ago

Which equation represents exponential growth?

Mathematics

2 answers:

Blababa [14]3 years ago

8 0

Growth means a base for exponentiation bigger than 1 (in absolute value), otherwise it's decay.

Only the first choice has a base biggerthan 1. The last choice is equivalent to $f(x)=5 ( \frac 1 6)^x$ so has a base less than 1.

Answer: A

AlekseyPX3 years ago

6 0

Note how answer A has the form (constant)(constant greater than 1)^exponent. This is how you recognize expo growth. The other 3 answer choices are disqualified because their bases {0.11, 1/2, 1/6} are fractions between 0 and 1.

The correct answer is A.

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Step-by-step explanation:

we know that

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see the attached figure

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$c^{2}=a^{2}+b^{2}$

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substitute

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$18=9+h^{2}$

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Here is the solution. Hope it helps.