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##### Allied MAT110 module 8 assignment

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**Question**

Question;Directions: Please show;all of your work for each problem. If;applicable, you may find Microsoft Word?s equation editor helpful in creating;mathematical expressions in Word. There;is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of hand writing your;work and scanning it.;1. Solve for x. x2 + 2 = 6;2. Solve for x. (x + 4)2 = 3;3. Solve for x. ?9(x ? 3)2 = ?7;4. The base of a 19-ft ladder is 6 feet away;from the wall. How far above the floor;is the top of the ladder? Give your;answer to the nearest thousandth.;5. Solve the equation for x. (2x ? 1)2 ? 9 = 0;6. The square of 3 more than a number is;36. Find the number.;7. Determine whether the following trinomial;is a perfect square. x2;+ 4x + 4;8. Find the constant term that should be;added to make the following expression a perfect-square trinomial. x2 + 7x;9. Solve by completing the square. x2 ? 4x ? 60 = 0;10. The length of a rectangle is 5 cm more than;4 times its width. If the area of the;rectangle is 60 cm2, find the dimensions of the rectangle to the;nearest thousandth.;11. Find two consecutive positive integers such;that the sum of their squares is 61.;12. Use the quadratic formula to solve the;following equation. x2;= ?x + 7;13. Use the quadratic formula to solve the;following equation. 2x2;+ 3x ? 3 = 0;14. The height h in feet of an object;after t seconds is given by the function;h = ?16t2;+ 40t + 8. How long will it take;the object to hit the ground? Round your;answer to the nearest thousandth.;15. Solve for x.;16. Solve.;(x ? 3)2 = 6 Solve;a quadratic equation by completing the square;17. Solve.;2x2 ? 5x ? 10 = 0 Solve a quadratic question using the;quadratic formula;18. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2+16x;19. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2-12x;20. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2+2x;21. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2-8x;22. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2+x;23. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2+9x;24. Solve by completing the square. X^2+8x=-15;25. Solve by completing the square. X^2+6x+2=0;26. Solve by completing the square. X^2+x-1=0;27. Solve by using the quadratic formula. X^2+11x-12=0;28. Solve by using the quadratic formula. X^2-6x+9=0;29. Solve by using the quadratic formula. 3x^2-7x=3;30. An entry in the Apple Festival Poster;Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer;than its width. Find the dimensions each;entry must have.

Paper#60690 | Written in 18-Jul-2015

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