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Further Mathematics Past Questions


Question 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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