Mathematics, 19.09.2019 17:30 lele4343

Solve each given equation and show your work. tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither. (a) 6x + 4x - 6 = 24 + 9x (b) 25 - 4x = 15 - 3x + 10 - x (c) 4x + 8 = 2x + 7 + 2x - 20

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Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?

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