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Aleonysh [2.5K]
2 years ago
6

Basic Set Notation. Help Pls.

Mathematics
1 answer:
balandron [24]2 years ago
4 0

Hello!


The set X ∪ Y, can be found by combining the given sets of the sets into one set.


You are given set X = {5, 10, 15} and set Y = {3, 6, 9, 12, 15}.

∪ represents union, so you put these sets together.

Also, since the element 15 is in both sets, it should be in the X ∪ Y set, once.


Therefore the answer is A, X ∪ Y = {3, 5, 6, 9, 10, 12, 15}.

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Sindrei [870]

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we know all it's doing is adding 6 over again to each term to get the next one, so then

\bf \stackrel{\textit{Recursive Formula}}{\stackrel{\textit{nth term}}{f(n)}~~=~~\stackrel{\textit{the term before it}}{f(n-1)}~~~~\stackrel{\textit{plus 6}}{+~~~~6}}

now for the explicit one

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=7\\ d=6 \end{cases} \\\\\\ a_n=7+(n-1)6\implies a_n=7+6n-6\implies \stackrel{\textit{Explicit Formula}}{\stackrel{f(n)}{a_n}=6n+1} \\\\\\ therefore\qquad \qquad f(10)=6(10)+1\implies f(10)=61

3 0
3 years ago
What is the reciprocal of 3 2/3
deff fn [24]

Answer:

the answer is 5

Step-by-step explanation:

8 0
3 years ago
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Tanya purchased 4 hammers for $11.79 each and 7 screwdrivers for $6.65 each. Write an expression for the total cost of the tools
igor_vitrenko [27]
<span>Write an expression for the total cost of the tools.
</span>
total cost = <span>$11.79 (4)   + </span>$6.65 (7) 

<span>Then find the total cost.

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3 years ago
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zvonat [6]

Answer:

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Step-by-step explanation:

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3 years ago
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Paul [167]

Answer:

-11

Step-by-step explanation:

To evaluate an expression with variables, replace the variables with what the question tells you to.

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