Math Problem Statement
give me 2 question like this, one to solve for x value and one to solve for y. then give me the answers to the problems: g(x)=3x^ 2 −16x+48
The given equation defines the function g g. For what value of x x does g ( x ) g(x) reach its minimum?
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Optimization
Formulas
Quadratic formula: x = [-b ± √(b² - 4ac)] / 2a
Vertex formula for minimum/maximum of quadratic functions: x = -b / 2a
Theorems
Quadratic formula
Vertex theorem for optimization
Suitable Grade Level
Grades 9-10
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