Mathematics Past Questions and Answers

The roots of a quadratic equation are \(\frac{-1}{2}\) and \(\frac{2}{3}\). Find the equation.

A \(6x^2 - x + 2 = 0\)
B \(6x^2 - x - 2 = 0\)
C \(6x^2 + x - 2 = 0\)
D \(6x^2 + x + 2 = 0\)

Question 1747:

Make x the subject of the relation d = \(\sqrt{\frac{6}{x} - \frac{y}{2}}\)

A X = \(\frac{6 + 12}{d^2 + y}\)
B X = \(\frac{12}{d^2 - y}\)
C X = \(\frac{12}{y} - 2d^2\)
D X = \(\frac{12}{2d^2 - y}\)

Question 1748:

Consider the statements: p it is hot, q: it is raining
Which of the following symbols correctly represents the statement "It is raining if and only if it it is cold"?

A P \(\iff\) \(\sim\)q
B P \(\iff\) q
C \(\sim\)p \(\iff\) \(\sim\)q
D Q \(\iff\) \(\sim\)p

Question 1749:

Given that t = \(2 ^{-x}\), find \(2 ^{x + 1}\) in terms of t.

A \(\frac{2}{t}\)
B \(\frac{t}{2}\)
C \(\frac{1}{2t}\)
D T

Question 1750:

Two bottles are drawn with replacement from a crate containing 8 coke, 12 and 4 sprite bottles. What is the probability that the first is coke and the second is not coke?

A \(\frac{1}{12}\)
B \(\frac{1}{6}\)
C \(\frac{2}{9}\)
D \(\frac{3}{8}\)