Solve the word problem. check to see if the answer needs to be simplified. remember to label your answer with the appropriate abbreviation.

the height of a box inside is 12 inches. what is the outside height? you must add the thickness of the bottom, 3/4 inch, and the top, 1/2 inch.

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

Factor this polynomial completely. 12x^2+ x-6

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?