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kipiarov [429]
3 years ago
13

A function that represents the exponential function f(x)= 3 to the power of x after a vertical stretch by a factor of 8 and a re

flection across the x-axis
Mathematics
1 answer:
slamgirl [31]3 years ago
4 0

A function that represents the exponential function f(x)= 3 to the power of x after a vertical stretch by a factor of 8 and a reflection across the x-axis is  f(x) = -8(3^x) .

<u>Step-by-step explanation:</u>

Here we have to make A function that represents the exponential function f(x)= 3 to the power of x after a vertical stretch by a factor of 8 and a reflection across the x-axis . Let's find out:

We have ,

  • A function that represents the exponential function f(x)= 3 to the power of x

Following is the equation for above statement :

⇒ f(x) = 3^x

  • A vertical stretch by a factor of 8

Following is the equation for above statement :

⇒ f(x) = 8(3^x)

  • A reflection across the x-axis

Following is the equation for above statement :

⇒ f(x) = 8(3^x)(-1)

⇒ f(x) = -8(3^x)

Therefore , A function that represents the exponential function f(x)= 3 to the power of x after a vertical stretch by a factor of 8 and a reflection across the x-axis is  f(x) = -8(3^x) .

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Given:

6 male professores

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Sol:.

N(A\text{ or B)=N(A)+N(B)-N(A and B)}

N (professors)

\begin{gathered} =6+9 \\ =15 \end{gathered}

N(Male)

\begin{gathered} =6+5 \\ =11 \end{gathered}

N(professors and male)

=6

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}

N(People to choose from)

\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}

Then probablitiy is:

\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}

Then the probability is 10/13

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If f(x)=2(3x-5) when f(x) =74,what is the value of x??
Zinaida [17]

Answer:

x = 14

Step-by-step explanation:

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2(3x - 5) = 74 ( divide both sides by 2 )

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Answer:

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Step-by-step explanation:

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