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1 year ago

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Which operations is the following set closed under? Explain your answer. \(\left\{2,4,6,...\right\}\)

1 answer:

babymother [125]1 year ago

5 0

The operation that is being used to complete the sequence is an addition, in which each number is added + 2.

<h3>What is a sequence?</h3>

A sequence is a mathematical term that refers to the succession of numbers or other mathematical objects related to each other, which is characterized by taking into account the relative position of each number with respect to the previous one.

According to the above, it can be inferred that from the following sequence:

2, 4, 6, ...

The operation that is defining the sequence is:

x + 2
0 + 2 = 2
2 + 2 = 4
4 + 2 = 6

Learn more about sequences in: brainly.com/question/21961097

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2 years ago

Jay wants to make a box, with no lid (or top), out of a 10" x 6" rectangular piece of cardboard. If Jay cuts squares with dimens

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Answer:

a. $V(x)=x(10-2x)(6-2x)$

b. $S(x)=4(15-x^2)$

Step-by-step explanation:

Dimensions of rectangular piece of cardboard= $10\times 6$

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

a.

Volume of box= $l\times b\times h$

Substitute the values in the formula

Volume of box= $x(10-2x)(6-2x)$

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Answer:

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