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Inessa [10]
2 years ago
14

If you vertically stretch the exponential function f(x)=2^x by a factor of 5 what is the equation of the new function

Mathematics
2 answers:
Montano1993 [528]2 years ago
4 0
Just mult. both sides of that equation by 5:

g(x) = 5*2^x
Natali [406]2 years ago
3 0

Answer: f(x)=5*2^{x}

Step-by-step explanation: When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression. So,if we want to stretch the given function by a factor of 5, we just need to multiply such function by 5:

Original function:

f(x)=2^{x}

Stretched function:

f(x)=5*2^{x}

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The correct numbers to use in solving problems about spans of time like B.C. and A.D. should be “integers”.

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2 years ago
In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. A long-distance telephone c
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The correct system of hypothesis are:

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So then the best option for this case would be:

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Step-by-step explanation:

We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.

The correct system of hypothesis are:

Null hypothesis: \mu =7.2

Alternative hypothesis: \mu \neq 7.2

So then the best option for this case would be:

H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes

And in order to test the hypothesis we can use a one sample t test or z test depending if we know the population deviation or not

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100 milligrams for every 5 pounds

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400*100=40,000 milligrams= 40 grams

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2 years ago
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