GeminiHeat 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
Given: \(x♦y=xy(x+4)\)
So: \((-6)♦a=(-6)(a)[(-6)+4]\)
Simplify to get: \((-6)♦a=(-6)(a)(-2)\)
Simplify again to get: \((-6)♦a=12a\)
We are also told that: \((-6) ♦ a = -60,\)
This means we can write: \(12a =-60\)
Divide both sides by 12 to get: \(a =-5\)
Answer: B
Cheers,
Brent
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Brent Hanneson - founder of Greenlight Test Prep