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-BARSIC- [3]
3 years ago
11

Use k as the constant of proportionality to write the equation expressing the relationship: y varies inversely as x.

Mathematics
1 answer:
yan [13]3 years ago
5 0
"Inversely" generally means the relationship is proportional to the reciprocal.
  y = k/x
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Fynjy0 [20]
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Translate each of these statements into logical expressions by using quatifiers and predicates with one or two variables. (a) A
nikdorinn [45]

Answer:

a) A = \{\exists x \in M, \exist y \in U\,|\,xGy \}, b) B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}, c) C = \{\forall x \in M\,|\,xI \}, d) D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \} , e) E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}

Step-by-step explanation:

a) x - A student, M - Set of students of discrete math class, G - has lived in, y - Florida, U - Set of states of the United States of America.

A = \{\exists x \in M, \exist y \in U\,|\,xGy \}

b) x - A student, M - Set of students of discrete math class, y - A perfect grade, H - Midterm I.

B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}

c) x - A student, M - Set of students of discrete math class, I - loves discrete math.

C = \{\forall x \in M\,|\,xI \}

d) x - A student, M - Set of students of discrete math class, J - has been in, y - a state, U - Set of states of the United States of America.

D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \}

e) x - A student, M - Set of students of discrete math class, J - has been in, y - a city, V - At least one state of the United States of America, U - Set of states of the United States of America.

E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}

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If <img src="https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7Bx%7D%20%2B%5Cfrac%7B2%7D%7Bx%7D%20%3D12" id="TexFormula1" title="\frac{10
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Hi

I guess that the most obvious answer is

x = 1

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Answer:

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