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Eva8 [605]
3 years ago
13

!!!50 POINTS!!! Help Please 2. Which functions are exponential decay functions? Choose exactly two answers that are correct. A.

f(x)=0.9^x B. g(x)=(6/5)^x C. h(x)=1.25^x D. j(x)=(4/5)^x
Mathematics
1 answer:
Goshia [24]3 years ago
5 0
A characteristics of an exponential decay function is it has a constant term that is lesser than 1, this is because when you raise it a number that is lesser than 1 to higher values the result will be lesser and lesser, that is why it is called decay function. so the decay functions are a. f(x)=0.9^x and d. <span>j(x)=(4/5)^x</span>
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3 0
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Drag values to complete each equation.
Alex777 [14]

Answer:

1. A. 1

2. D. 17^9

Step-by-step explanation:

Properties used:

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1. First, let's deal with the numerator.

(17^3)^6 can be turned into 17^1^8 by using the Power of a Power Property.

And then use the Product Property, (17^1^8)(17^-^1^0) = 17^8

So now, our fraction is this: \frac{17^8}{17^8}

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: \frac{a^m}{a^n} = a^m^-^n or \frac{1}{a^(^n^-^m^)}. Which then you plug the numbers in: \frac{17^8}{17^8} = 17^8^-^8 = 17^0. And since we know that in Zero Exponent Property: a^0 = 1, we can see that 17^0 = 1. So either way, we get 1.

So the answer is 1, which is A

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So plug the numbers in the property: (17^{6}) ^3= 17^1^8

Product Property: (a^m)(a^n) = a^m^+^n

We plug the equation in with (17^{6}) ^3 turned into 17^1^8 ---

(17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9

So the answer is 17^9, which is D

I hope this helps!
Please give Brainliest!

Have a great day!

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