Math Problem Statement
The line x + y = k, where k is a constant, is a tangent line to the graph of the function f(x) = 2x - 5x + 2. What is the value of K (AI -1 (B) 2 (C) -2 (d)-4
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Differentiation
Tangent Lines
Formulas
Quadratic function: f(x) = ax^2 + bx + c
Derivative of a quadratic function: f'(x) = 2ax + b
Equation of a line: y = mx + c
Theorems
Tangent line theorem
Derivative of a quadratic function
Suitable Grade Level
Grades 10-12
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