MATH 100 Midterm: MATH 100 KSU Math100S07Exam2

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Write complex answers in a + bi form: (8 points) write the complex numbers in the standard form a + bi, where a, b are real numbers: (a) 4 + i13 (b) 3 + i: (7 points) state the quadratic formula (for the solutions of the general quadratic ax2 + bx + c = 0) and use it to solve the equation x2 + 34 10x = 0. Specify your values of a, b, c and simplify your answer: (9 points) find all x that satisfy the equation x x + 3. 1 pg score/39: (6 points) solve the inequality 2(5 3x) 7 9x. Give the solution set in interval notation: (7 points) sketch the graph of the piecewise-de ned function. 8: (8 points) for the graph of the quadratic y = 4x2 + 12x + 3 (a) find the vertex.