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babunello [35]
3 years ago
7

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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Answer:

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Step-by-step explanation:

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B. x(x) + (−6)(−3)  = x^2 + 18   ----> NOT equivalent  to (x − 6)(x − 3)

C. x2 − 3x − 6x + 18   = x^2 - 9x + 18  --> equivalent  to (x − 6)(x − 3)

D. x(x − 6) − 3(x − 6)

= x^2 - 6x - 3x + 18

= x^2  - 9x + 18  ---->equivalent  to (x − 6)(x − 3)

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(a) If there is a scalar function f(x, y) such that ∇ f(x, y) = x² i + y² j, then

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