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2 years ago

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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Can someone be so freaking awesome and help me out with the correct answer please :( !?!?!?!?!???!!! 30 points!!!

Sindrei [870]

$\bf 7~~,~~\stackrel{7+6}{13}~~,~~\stackrel{13+6}{19}~~,~~\stackrel{19+6}{25}\qquad \impliedby \qquad \textit{common difference "d" is 6}$

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

Read 2 more answers

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]

Write an expression for the total cost of the tools.

total cost = $11.79 (4) + $6.65 (7)

Then find the total cost.

total cost = $11.79 (4) + $6.65 (7)
total cost = $47.16 + $46.55 = $93.71

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3 years ago

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What is the value of y 4y squared-7y=15

zvonat [6]

Answer:

y= 3, (-5/4)

Step-by-step explanation:

4y^2-7y=15

4y^2 - 7y -15

(y-3)(4y+5)

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3 years ago

Evaluate the expression when x=3 and y= -2

Paul [167]

Answer:

-11

Step-by-step explanation:

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

Replace "x" with 3. Replace "y" with -2.

-x + 4y

= -(3) + 4(-2) Multiply 4 and -2 first to get -8

= (-3) + (-8) Add normally. -3 + (-8) is the same as (-3) - 8.

= -11 Answer

Therefore the solution is -11.

5 0

3 years ago