![]() ![]() ![]() Show that Brendon's claim is true and algebraically find the number for which this is true. (5) Brendon claims that the number five has the property that the product of three less than it with one more is the same as the three times one less than it. (4) Find all sets of consecutive integers such that their product is less than ten times the smaller integer. Find the rational numbers that fit this description. (3) There are two rational numbers that have the following property: when the product of seven less than three times the number with one more than the number if found it is equal to two less than ten times the number. An object is launched at 19.6 meters per second from a 58. If the resulting rectangle has an area of 60 square inched, what was the area of the original square? First, draw some possible squares and rectangles to see if you can solve by guess-and-check. Quadratic Inequalities & Word Problems Worksheet 1. (2) A square has one side increased in length by two inches and an adjacent side decreased in length by two inches. I think this allows us to factor all quadratics. This requires the introduction if the imaginary number i sqrt (-1). However, if D is less than zero it cannot be solved regularly. Why is one of the solutions for W not viable? Any quadratic of the form ax2 + bx + c can be solved using the formula ( -b +/- sqrt (D) )/2a with D b2-4ac. (c) Solve the equation to find both dimensions. (b) Set up an equation that could be used to solve for the width, W, based on the area. (a) If we represent the width of the rectangle using the variable W, then write an expression for the length of the rectangle, L, in terms of W. If we know that the length is one less than twice the width, then we would like to find the dimensions of the rectangle. (1) Consider a rectangle whose area is 45 square feet. ![]()
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