Mathematics Past Questions and Answers

The graphical method of solving the equation x3 + 3x2 + 4x - 28 = 0 is by drawing the graphs of the curves

A Y = x³ and y = 3x² + x - 28
B Y = x³ + 3x² + 4x + 4 and the line y = \(\frac{28}{x}\)
C Y = x³ + 3x² + 4x and y
D Y = x² + 3x + 4 and y = \(\frac{28}{x}\)
E Y = x² + 3x + 4 and line y = 28x

Question 677:

Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms

A 2^x(1 + y) = 3
B 2^x - x(1 + y) = 8
C X² = 8(1 + y)^x
D X² - x(1 + y) = 8
E X² - (1 + y)² = 8

Question 678:

Find \(\alpha\) and \(\beta\) such that x\(\frac{3}{8}\) x y\(\frac{-6}{7}\) x (\(\frac{y^{\frac{9}{7}}}{x^{\frac{45}{8}}}\))\(\frac{1}{9}\) = \(\frac{y^{\alpha}}{y^{\beta}}\)

A \(\alpha\) = 1, \(\beta\) = \(\frac{5}{7}\)
B \(\alpha\)= 1, \(\beta\) = -\(\frac{5}{7}\)
C \(\alpha\)= \(\frac{3}{5}\), \(\beta\) = -6
D \(\alpha\)= 1, \(\beta\) = -\(\frac{3}{5}\)

Question 679:

Which of the following lines is not parallel to the line 3y + 2x + 7 = 0?

A 3y + 2x - 7 = 0
B 9y + 6x + 17 = 0
C 24y + 16x + 19 = 0
D 3y - 2x + 7 = 0
E 15y + 10x - 13 = 0

Question 680:

What is the least possible value of \(\frac{9}{1 + 2x^2}\) if 0 \(\geq\) x \(\geq\) 2?