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Ushbu \( 240=2^{x} \cdot 3^{y} \cdot z \) bo'lsa, \( x+y-z \) ni toping? \( \begin{array}{lll}\text { A) } 4 & \text { B) } 5 & \text { C) } 0\end{array} \) D) 6

Ask by Wells Colon. in Uzbekistan
Feb 19,2025

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\( x + y - z = 0 \), choice C.

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240 ni avval uning tubga ajratilgan ko‘paytuvchilarga bo‘lamiz. 240 = 2⁴ · 3¹ · 5 Bu yerda x=4, y=1 va z=5 ga teng bo‘ladi. Shunday qilib, x + y – z = 4 + 1 – 5 = 0. Javob: C) 0.

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Birinchidan, 240 ni faktorlashtiramiz. 240 ni ishlatib ko'ring: \( 240 = 2^4 \cdot 3^1 \cdot 5^1 \). Demak, \( x = 4 \), \( y = 1 \), va \( z = 5 \). Endi x va y ning yig'indisini oldi va z ni chiqardi: \( x + y - z = 4 + 1 - 5 = 0 \). To'g'ri javob: C) 0.

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