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Sophie [7]
2 years ago
6

Which function represents exponential decay?f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x

Mathematics
2 answers:
Ber [7]2 years ago
6 0

Answer:

the answer is d i just did it and got it right

Step-by-step explanation:

nasty-shy [4]2 years ago
3 0

Answer: The answer is (D) f(x)=2(\dfrac{2}{3})^x.

Step-by-step explanation:  We are to select the correct function which represents exponential decay.

We know that an exponential decay is represented by the function with base less than 1.

For example, if we consider the following exponential function:

f(x)=b^x,

then f(x) will show exponential growth if b > 1 and exponential decay is b < 1.

Among the given functions, f(x)=2(\dfrac{2}{3})^x represents exponential decay, because the base is 0.66, which is less than 1.

Thus, (D)  f(x)=2(\dfrac{2}{3})^x. is the correct option.

The graph of this resultant function is attached, which clearly represents exponential decay.

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marusya05 [52]

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

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2 years ago
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nata0808 [166]

Answer:

Step-by-step explanation:

So 8 times what is 5?

8 times x=5

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4 0
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2,759 divided by 89?
EleoNora [17]

Answer:

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Step-by-step explanation:

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8 0
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Korvikt [17]

Answer:

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Step-by-step explanation:

The perimeter of the blueprint is given by the equation :

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We need to solve the above equation for x.

Dividing both sides of the equation by 8.

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Answer:

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Step-by-step explanation:

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