Mathematics, 29.01.2021 17:40 NasirKA7372

Which function represents exponential decay? O f(x) =1/2(3/2)x
O fx) =1/2(-3/2)x
O F(x)=4(-2/3)x
O F(x)=4(2/3)x

Answers: 3

Show answers

Answers

Answer from: richardgibson2005

The function that represents exponential decay is $f(x)=4(\frac{2}{3} )^x$ since 2/3 is less than 1.

Exponential functions

The standard expression for an exponential function is expressed as:

y=ab^x

Note that the value of "b" determines whether an exponential equation is a growth or decay.If b < 1, hence the exponential function is a decayIf b > 1, then the exponential function is growth.

From the given options, we can see that the function that represents exponential decay is $f(x)=4(\frac{2}{3} )^x$ since 2/3 is less than 1.

Learn more on exponential functions here: link

Answer from: nehemiahj85

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

Please note that an exponential function cannot have a base of 0, 1, or a negative value.

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.

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

what is the information provided?

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 20:40

What is the probability of throwing several dice with sum equal to 6 (six)? show the ways of possibilities for sum 6 (as the numerator) and the ways of throwing n dices for n = 1, 2, 3, 4 or 5 as denominator for all the questions to earn full credits. (a)throw one die, (b) throw two dice, (c) throw three dice (d) throw 4 dice, (e) throw 5 dice

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Apack of gum would be considered a(n) necessity luxury item small ticket item unaccountable expense

Answers: 2

Answer

Mathematics, 22.06.2019 04:10

Acoin is tossed 4 times which of the following represents the probability of the coin landing on heads all 4 times

Answers: 1

Answer

Mathematics, 22.06.2019 04:40

The equations 2x-5y = -5 11x-5y = 15 9x+ 5y = 5 and 14x+ 5y = -5 are shown on the graph below. which system of equations has a solution of approximately (-0.6. 0.8)?

Answers: 3

Answer

You know the right answer?

Which function represents exponential decay? O f(x) =1/2(3/2)x
O fx) =1/2(-3/2)x
O F(x)...

Questions