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Veseljchak [2.6K]
1 year ago
12

Tara and Curtis are simplifying [4(10)-3^2]+6(4). is either of them correct? Explain your reasoning. Why wouldnt the -3^2 be pos

itive 9? my parents said that it cant be used as a negative in the situation or whatever, but how would i be able to tell on future quizzes or tests

Mathematics
1 answer:
Maksim231197 [3]1 year ago
7 0

Simplifying the given expression, it is found that Curtis is correct.

<h3>How to simplify the expression?</h3>

The expression to be simplified is given by:

[4(10) - 3²] + 6(4)

The non-related operations can be solved first, hence:

[4(10) - 3²] + 6(4) = [40 - 9] + 24

For the square, we have to consider that:

  • For -x², the negative is not part of the square, hence the result is negative, as - x*x = -x².
  • For (-x)², the negative is part of the square, hence the result is positive, as (-x)*(-x) = x².

The first bullet point is the reason that -3² = 9. Then, the simplified expression is completed as follows:

[40 - 9] + 24 = 31 + 24 = 55.

Which means that Curtis is correct.

More can be learned about the simplification of expressions at brainly.com/question/723406

#SPJ1

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We are given that A\cap (B\cup C) and A\cup (B\cap C)

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A\cap (B\cup C)={2}\cap{2,3,4,5}={2}

A\cup (B\cap C)={2}\cup\phi={2}

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2.We have to construct a universe set U and non empty sets A,B and C so that  above sets are in fact different

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A\cup (B\cap C)={1,2}\cup \phi={1,2}

A\cap (B\cup C)={1,2}\cap {2,3,4}={2}

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