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Viktor [21]
3 years ago
8

Which function represents exponential decay?

Mathematics
2 answers:
Luden [163]3 years ago
6 0

Answer:

f(x) = 4(2/3)ˣ represents exponential decay.

Hence, option D is the correct function.

Step-by-step explanation:

The function of the form

y\:=\:a\left(1\:-\:r\right)^x\:\:

where a > 0 and 0 < r < 1

is called the exponential decay function.

If we replace base 'b' by 1 - r, then we get the decay function of the form

y = abˣ

where 0 < b < 1

  • <em>Please note that an exponential function cannot have a base of 0, 1, or a negative value.</em>

Now, if we carefully observe, the function f(x) = 4(2/3)ˣ is the only option correct as

f(x) = 4(2/3)ˣ

here  0 < b < 1  and a > 0

Therefore, f(x) = 4(2/3)ˣ represents exponential decay.

Hence, option D is the correct function.

trasher [3.6K]3 years ago
5 0

Answer:

d. f(x) = 4(2/3)^x

Step-by-step explanation:

got it right on edge.

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If you could please help, what is the missing answer?<br><br> Thank you to anyone who helps out!
ICE Princess25 [194]

Answer:

48

Step-by-step explanation:

let s be the snowman, g be the girl, and t be the christmas tree

2s+g=24

2t+2ts=132

3t+2g=26

subtract 2 times the first equation from the third one to get

3t-4s=-22

from the second equation we can deduce

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t(1+s)=66

t=66/(1+s)

Substitute:

3(66)/(1+s)-4s=-22

3(66)/(1+s)=4s-22

3(66)=(4s-22)(1+s)

3(66)=-18s+4s^2-22

4s^2-18s-220=0

using the quadratic formula, we get s = 10, s = -5.5.

2(10)+g=24

g=4

2t(1+10)=132

2t=12

t=6

So 2s+t*g= 20+6*4=48

you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r

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Answer:

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Answer:

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Step-by-step explanation:

A circle is equal to 360 degrees. The face of a clock is a circle and therefore 360 degrees. A clock is separated into 12 sections. Divide 360/ 12 = 30 degrees. This means each section is 30 degrees.

Between 2:00 and 7:00 clockwise, there are 5 sections. Since each section is 30 degrees, then 5*30 = 150 degrees.

Between 2:00 and 7:00 counter clockwise, there are 7 sections. Since each section is 30 degrees, then 7*30 = 210 degrees.

The angle depends on the direction of it.

3 0
3 years ago
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