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Andrei [34K]
3 years ago
6

12 _ (7 - 4) +5 _ 3 = 19

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

The first blank is "division" and the second blank is "multiplying"

12 / (3) = 4

5 x 3 = 15

15 + 4 = 19

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ASAP! find the inverse of the function y=2x^2+2
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Answer:

\displaystyle y=\sqrt{\frac{1}{2}x -1}

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We want to find the inverse of the function:

y=2x^2+2

To find the inverse of a function, we will flip the variables and solve for <em>y</em>. So:

x=2y^2+2

Solve for <em>y</em>. Subtract two from both sides:

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Divide both sides by two:

\displaystyle y^2=\frac{1}{2}x-1

And take the principal square root of both sides. Therefore:

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Answer:

1.U={1,2,3,4,5}

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2.U={1,2,3,4}

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B={2,3}

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Step-by-step explanation:

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

are different sets

1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same

Suppose U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

B\cap C=\phi

B\cup C={2,3,4,5}

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

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

Hence, A\cap (B\cup C)=A\cup (B\cap C)

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

Suppose U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

B\cap C=\phi

B\cup C={2,3,4}

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

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

Hence, A\cap (B\cup C)\neq A\cup (B\cap C)

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3 years ago
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