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For all numbers x and y the definition of the operation ♦ is x♦ y=xy(x

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For all numbers x and y the definition of the operation ♦ is x♦ y=xy(x  [#permalink]

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New post 05 Feb 2020, 08:56
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For all numbers \(x\) and \(y\) the definition of the operation \(♦\) is \(x♦ y=xy(x+4)\). If \((-6) ♦ a = -60,\) then what is the value of \(a\) ?

A. -20
B. -5
C. 2.5
D. 5
E. 10

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Re: For all numbers x and y the definition of the operation ♦ is x♦ y=xy(x  [#permalink]

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New post 05 Feb 2020, 20:42
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SajjadAhmad wrote:
For all numbers \(x\) and \(y\) the definition of the operation \(♦\) is \(x♦ y=xy(x+4)\). If \((-6) ♦ a = -60,\) then what is the value of \(a\) ?

A. -20
B. -5
C. 2.5
D. 5
E. 10


\(x♦ y=xy(x+4)\)

\((-6) ♦ a = -60 = (-6)a(-6 + 4) = 12a\)

a = -5

Answer (B)
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Re: For all numbers x and y the definition of the operation ♦ is x♦ y=xy(x  [#permalink]

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New post 05 Feb 2020, 22:28
We are given
• x♦y = xy(x+4)
• (−6) ♦a=−60
Required: a = ?

• (−6) ♦a=−60
or, (-6)a (-6 + 4) = -60
or, (-6a) *(-2) = -60
or, 12a = -60
or, a = -5

Answer: (B)
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Re: For all numbers x and y the definition of the operation ♦ is x♦ y=xy(x  [#permalink]

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New post 09 Feb 2020, 05:22
1
SajjadAhmad wrote:
For all numbers \(x\) and \(y\) the definition of the operation \(♦\) is \(x♦ y=xy(x+4)\). If \((-6) ♦ a = -60,\) then what is the value of \(a\) ?

A. -20
B. -5
C. 2.5
D. 5
E. 10


(-6)*a = -60

-6a(-6 + 4) = -60

36a - 24a = -60

12a = -60

a = -5

Answer: B

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Re: For all numbers x and y the definition of the operation ♦ is x♦ y=xy(x   [#permalink] 09 Feb 2020, 05:22
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