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A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.
Simplify; \(\frac{2 - 18m^2}{1 + 3m}\)
If x : y : z = 2 : 3 : 4, evaluate \(\frac{9x + 3y}{6z - 2y}\)
If y + 2x = 4 and y - 3x = -1, find the value of (x + y)
If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6
If \(\log_{10}\)(6x - 4) - \(\log_{10}\)2 = 1, solve for x.
There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?
Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div 4 \frac{3}{8}\)
Find the value of x for which \(32_{four} = 22_x\)
Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.
Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)
Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)
In the diagram, RPS is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of < STR
The graph of y = \(ax^2 + bx + c\) is shown oon the diagram. Find the minimum value of y
Find the value of m in the diagram
The diagonal of a square is 60 cm. Calculate its peremeter
A stationary boat is observed from a height of 100m. If the horizontal distance between the observer and the boat is 80m, calculate, correct to two decimal places, the angles of depression of the boat from point of observation
In the diagram, NQ//TS,
In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.
| Marks | 0 | 1 | 2 | 3 | 4 | 5 |
| Frequency | 7 | 4 | 18 | 12 | 8 | 11 |
The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, find the first quartile