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4 years ago

Which is an exponential decay function?

Mathematics

1 answer:

spayn [35]4 years ago

5 0

Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions.

1. Because 7/4 > 1 and the exponent is positive,

the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

the function decays.

4. Because 9/2 > 1 and the exponent is positive,

the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.

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3 years ago

Write a polynomial function in standard form with given zero x=2,-1,-5

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Is the expected wait time for 240 people less than, greater than, or equal to 40 minutes? How do you know?

Morgarella [4.7K]

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Step-by-step explanation:

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3 years ago

Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) mi

makvit [3.9K]

The extraneous solution of the logarithmic problem $\rm log_3(18x^3)-log_3(2x) = log_3 144$ is -4.

<h3>What is Logarithm?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c =b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

$\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}$

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

brainly.com/question/7302008

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2 years ago

Read 2 more answers