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05 Feb 2020, 09:56
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73% (01:06) correct
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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
A. -20
B. -5
C. 2.5
D. 5
E. 10
05 Feb 2020, 21:42
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SajjadAhmad
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
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)
05 Feb 2020, 23:28
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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)
• 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)
