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Tems11 [23]
3 years ago
11

Use the function to find f(-2)

Mathematics
2 answers:
yulyashka [42]3 years ago
4 0
<h3>Answer:</h3>

\frac{1}{9}

<h3>Step-by-step explanation:</h3>
  1. Substitute the -2 into the equation.  f(-2)=3^{-2}
  2. Begin to simplify the exponent.  x^{-y}=\frac{1}{x^y}, so you get f(-2)=\frac{1}{3^2}
  3. Finish simplifying the exponent.  3 times 3 is 9.  f(-2)=\frac{1}{9}
algol [13]3 years ago
3 0

Answer:

f(-2) = 1/9

Step-by-step explanation:

Plug in -2 to x in the equation:

f(x) = 3^x

f(-2) = 3^(-2)

Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:

f(-2) = 1/(3^2)

f(-2) = 1/(9)

f(-2) = 1/9 is your answer.

~

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The sum of an infinite geometric series is 450, while the common ratio of the series is 4/ 5 . What is the first term of the ser
pogonyaev

Answer:

answer is 90 for first term

Step-by-step explanation:

Let the terms be  

First term x

We will use the formula s∞=x/1−r to find the sum of an infinite geometric series, where −1<r<1.  

We know the sum and the common ratio, so we'll be solving for x where r =4/5

s∞=x/1−r

450=x/1−4/5

450=x/1/5

450=5x

x=90

this is the first term x1 = 90

we know that common ratio is 4/5, so multiplying the first term by factor 4/5 to get the second term  

90 x 4/5=   72 second term  

7 0
3 years ago
Read 2 more answers
Help please if it was u u would want the same so please help
antiseptic1488 [7]
Simple...

you have: 8x-6y=1

You're trying to find m-->>using y=mx+b to re-write the line....

8x-6y=1

8x-6y=1
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-6y=-8x+1

\frac{-6y}{-6} = \frac{-8x+1}{-6}

y=\frac{4}{3} x- \frac{1}{6}

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3 0
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What is total number of elements in 3 trials of rolling a 6-sided die?
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3 years ago
Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

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3 years ago
What is the solution set for this inequality? -8x-40 (greater than) -16
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Answer:

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Step-by-step explanation:

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