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fiasKO [112]
2 years ago
15

Does each equation represent exponential decay or exponential growth?

Mathematics
1 answer:
Elden [556K]2 years ago
8 0

Answer:

  decay: a, b

  growth: c, d, e, f

  neither: g

Step-by-step explanation:

A function is exponential if it has the independent variable in an exponent. g(x) is a linear function, not an exponential function.

__

An exponential function is a growth function if the coefficient of the variable is positive and the base of the exponent is greater than 1. It is a decay function if the exponent is positive and the base is less than 1.

The first two functions are decay functions. The remaining four exponential functions are growth functions.

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2 years ago
Read 2 more answers
I need some help on this math problem, thanks so much
bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0
3 years ago
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