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sashaice [31]
3 years ago
12

Which of the following functions is the inverse of the function {(1,2),(3,4),(6,8)} A.{(6,8),(3,4),(1,2) B.{(2,1),(4,3),(1,2)} C

.{(2,1),(4,3),(8,6)D{(2,1),(3,4),(8,6)}
Mathematics
2 answers:
slega [8]3 years ago
7 0
C. that was so easy yo
OleMash [197]3 years ago
3 0

Answer:

C. {(2,1),(4,3),(8,6)

Step-by-step explanation:

To find the inverse function, the values of "x" and "y" must be exchanged, that is, the values of each ordered pair must be exchanged.

Thus, option "C" complies with this procedure, as evidenced as follows:

Function {(1,2), (3,4), (6,8)}

Pair (1,2) the inverse is (2,1)

Pair (3,4) the inverse is (4,3)

Pair (6,8) the inverse is (8,6)

The inverse function is:

{(21), (4,3), (8,6)}

I hope this helps!

 

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Answer:

The probability is 0.31

Step-by-step explanation:

To find the probability, we will consider the following approach. Given a particular outcome, and considering that each outcome is equally likely, we can calculate the probability by simply counting the number of ways we get the desired outcome and divide it by the total number of outcomes.

In this case, the event of interest is  choosing 3 laser printers and 3 inkjets. At first, we have a total of 25 printers and we will be choosing 6 printers at random. The total number of ways in which we can choose 6 elements out of 25 is \binom{25}{6}, where \binom{n}{k} = \frac{n!}{(n-k)!k!}. We have that \binom{25}{6} = 177100

Now, we will calculate the number of ways to which we obtain the desired event. We will be choosing 3 laser printers and 3 inkjets. So the total number of ways this can happen is the multiplication of the number of ways we can choose 3 printers out of 10 (for the laser printers) times the number of ways of choosing 3 printers out of 15 (for the inkjets). So, in this case, the event can be obtained in \binom{10}{3}\cdot \binom{15}{3} = 54600

So the probability of having 3 laser printers and 3 inkjets is given by

\frac{54600}{177100} = \frac{78}{253} = 0.31

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For each of the following, determine the value(s) of k for which p(x) is a
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Step-by-step explanation:

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(2x-3y)(2x-3y)(2x-3y)(2x-3y)(2x-3y)

1st and 2nd power :
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3rd power:
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4th power
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5th power
(2x-3y)(<span>16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4)
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