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SvitlanaKorenko
@SvitlanaKorenko
December 2021
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як довести що значення виразу не залежить від значення змінної -0,5(х-4 1/5)-7/15(2-1 1/14х)
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-0,5(х-4¹/₅)-⁷/₁₅(2-1¹/₁₄
х) =
-¹/₅х + ²¹/₂₅ - (¹⁴/₁₅-¹/₂х) =
-¹/₅х + ²¹/₂₅ - ¹⁴/₁₅ + ¹/₂х = - ⁷/₇₅ + 0,3x =
0,3x - ⁷/₇₅
1) -¹/₅ × ²¹/₅ = -¹ˣ²¹/₅ₓ₅ = -²¹/₂₅
2) ⁷/₁₅ × 2 = ¹⁴/₁₅
3) ⁷/₁₅ × 1¹/₁₄ = ⁷/₁₅ × ¹⁵/₁₄ = ⁷ˣ¹⁵/₁₅ₓ₁₄ = ⁷/₁₄ = ¹/₂
4) -¹/₅x + ¹/₂x = -²/₁₀x + ⁵/₁₀x = ⁵⁻²/₁₀x = ³/₁₀x = 0,3x
5) ²¹/₂₅ - ¹⁴/₁₅ = ²¹ˣ³/₇₅ - ¹⁴ˣ⁵/₇₅ = ⁶³⁻⁷⁰/₇₅ = - ⁷/₇₅
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Answers & Comments
Verified answer
-0,5(х-4¹/₅)-⁷/₁₅(2-1¹/₁₄х) =-¹/₅х + ²¹/₂₅ - (¹⁴/₁₅-¹/₂х) =
-¹/₅х + ²¹/₂₅ - ¹⁴/₁₅ + ¹/₂х = - ⁷/₇₅ + 0,3x = 0,3x - ⁷/₇₅
1) -¹/₅ × ²¹/₅ = -¹ˣ²¹/₅ₓ₅ = -²¹/₂₅
2) ⁷/₁₅ × 2 = ¹⁴/₁₅
3) ⁷/₁₅ × 1¹/₁₄ = ⁷/₁₅ × ¹⁵/₁₄ = ⁷ˣ¹⁵/₁₅ₓ₁₄ = ⁷/₁₄ = ¹/₂
4) -¹/₅x + ¹/₂x = -²/₁₀x + ⁵/₁₀x = ⁵⁻²/₁₀x = ³/₁₀x = 0,3x
5) ²¹/₂₅ - ¹⁴/₁₅ = ²¹ˣ³/₇₅ - ¹⁴ˣ⁵/₇₅ = ⁶³⁻⁷⁰/₇₅ = - ⁷/₇₅