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I need help with step-by-step solutions for Algebra equations.
I need answers to these eight college-level algebra questions:
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Solve the system of linear equations: 2x - 3y = 5 and 4x + y = -2.
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Given the quadratic equation 3x^2 - 5x + 2 = 0, find the roots using the quadratic formula.
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If f(x) = x^2 - 3x + 2, find the value of f(4) and interpret its meaning.
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Prove that the sum of the cubes of any three consecutive integers is divisible by 9.
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Evaluate the determinant of the matrix [[2, 3, 4], [1, -1, 2], [3, 2, 5]].
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If g(x) = 3x^3 - 2x^2 + x - 1, find the derivative g'(x) and interpret its meaning.
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Given the function h(x) = sqrt(x - 2) + 3, find the domain and range of h(x).
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Find the inverse of the function f(x) = 2x^3 + 3x^2 - 5x + 1.
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