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2 years ago

Is the function a^x increasing or decreasing?

Mathematics

1 answer:

Ray Of Light [21]2 years ago

8 0

Answer:

The function a^x is increasing, while a^-x is decreasing.

Step-by-step explanation:

The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.

I hope I helped:)

I would appreciate Brainliest ;)

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using the giving information to write an equation. let X represent the number described in the exercise.then solve the equation

ANEK [815]

A number is multiplied by 8 and the result is 28.

A number= x.

8(x)= 28

Divide both sides by 8.

28/8= 3.5

x= 3.5

I hope this helps!
~kaikers

5 0

3 years ago

After the mill in a small town closed down in 1970, the population of that town started decreasing according to the law of expon

wlad13 [49]

Answer:

$P_o = \frac{143000}{e^{-20*0.01303024661}}=110193.69$

And we can round this to the nearest up integer and we got 110194.

Step-by-step explanation:

The natural growth and decay model is given by:

$\frac{dP}{dt}=kP$ (1)

Where P represent the population and t the time in years since 1970.

If we integrate both sides from equation (1) we got:

$\int \frac{dP}{P} =\int kdt$

$ln|P| =kt +c$

And if we apply exponentials on both sides we got:

$P= e^{kt} e^k$

And we can assume $e^k = P_o$

And we have this model:

$P(t) = P_o e^{kt}$

And for this case we want to find $P_o$

By 1990 we have t=20 years since 1970 and we have this equation:

$143000 = P_o e^{20k}$

And we can solve for $P_o$ like this:

$P_o = \frac{143000}{e^{20k}}$ (1)

By 2019 we have 49 years since 1970 the equation is given by:

$98000 = P_o e^{49k}$ (2)

And replacing $P_o$ from equation (1) we got:

$98000=\frac{143000}{e^{20k}} e^{49k} =143000 e^{29k}$

We can divide both sides by 143000 we got:

$\frac{98000}{143000} =0.685 = e^{29k}$

And if we apply ln on both sides we got:

$ln(0.685) = 29k$

And then k =-0.01303024661[/tex]

And replacing into equation (1) we got:

$P_o = \frac{143000}{e^{-20*0.01303024661}}=110193.69$

And we can round this to the nearest up integer and we got 110194.

7 0

2 years ago

Which of the following best describes the graph of the polynomial function

zepelin [54]

Answer:

<h2>The answer is C because a graph has only one zero where the two lines meet</h2>

6 0

1 year ago

If someone help me that be awesome

nevsk [136]

The answer is 12,600,000... hope this helps any :3

4 0

3 years ago

Read 2 more answers

Calculate the value of y if -2(3x + 8). + 28 = 0 and -4(x+y) = 2y,

Damm [24]

Answer:

hi Miaxoxo ?

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7 0

2 years ago