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For all real numbers v, the operation v* is defined by the equation v* = v-(v/3)
For all real numbers v, the operation v* is defined by the equation v* = v-(v/3)
游客
2024-01-12
62
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问题
For all real numbers v, the operation v* is defined by the equation v* = v-(v/3). If (v*)*=8, then v=?
选项
A、15
B、18
C、21
D、24
E、27
答案
B
解析
对于所有实数(real number)v,运算(operation)v*被定义为方程v*=v-v/3,若(v*)*=8,那么v等于多少?
本题的正确答案是B。由题意可得:v*=v-v/3=2v/3→(v*)*=2/3×2/3×v=4v/9=8 → v=18
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