Further Mathematics Past QuestionsQuestion 771:Solve (\(\frac{1}{9}\))\(^{x + 2}\) = 243\(^{x - 2}\) A. \(\frac{7}{5}\) B. \(\frac{6}{7}\) C. \(\frac{-7}{6}\) D. \(\frac{-6}{7}\) Question 772:g(x) = 2x + 3 and f(x) = 3x\(^2\) - 2x + 4 A. 37 B. 1 C. -3 D. -179 Question 773:Using binomial expansion of ( 1 + x)\(^6\) = 1 + 6x + 15x\(^2\) + 20x\(^3\) + 6x\(^5\) + x)\(^6\), find, correct to three decimal places, the value of (1.998))\(^6\) A. 63.616 B. 63.167 C. 62.628 D. 62.629 Question 774:In how many ways can 8 persons be seated on a bench if only three seats are available? A. 100 B. 125 C. 336 D. 427 Question 775:If α and β are the roots of 3x\(^2\) - 7x + 6 = 0, find \(\frac{1}{α}\) + \(\frac{1}{β}\) A. \(\frac{7}{6}\) B. \(\frac{7}{3}\) C. \(\frac{14}{5}\) D. \(\frac{14}{3}\) |
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