For what range of values of x is 4x - 3(2x - 1) > 1?
x > -1
x > 1
x < 1
x < -1
Correct answer is C
4x - 3(2x - 1) > 1
4x - 6x + 3 > 1
-2x > 1 - 3; 2x > -2
x < \(\frac{-2}{-2}\)
= x < 1
make w the subject of the relation \(\frac{a + bc}{wd + f}\) = g
\(\frac{a + bc - fg}{dg}\)
\(\frac{a - bc + fg}{dg}\)
\(\frac{a + bc - f}{dg}\)
\(\frac{a + bc - dg}{dg}\)
Correct answer is A
\(\frac{a + bc}{wd + f}\) = g(cross multiply)
a = bc + wdg + fg
wdg = a + bc - fg
w = \(\frac{a + bc - fg}{dg}\)
Which of the following is a factor of 2 - x - x2?
1 - x
1 + x
x - 1
2 - x
Correct answer is A
2 - x - x2; (2 - 2x) + (x - x2)
= 2(1 - x) + x(1 - x)
= (1 - x)(2 + x)
= 1 - x
PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
1.7cm
3.0cm
3.2cm
3.9cm
Correct answer is B
By Pythagoras theorem
h2 = (2\(\sqrt{3})^2 - (\sqrt{3})^2\)
= 22(\(\sqrt{3})^2 - 3\)
4(3) - 3 = 112 - 3
h2 = 9
h = \(\sqrt{9}\)
= 3cm
At what rate per cent per annum will N520.00 yield a simple interest of N39.00 in three years?
4%
3\(\frac{1}{2}\)%
3%
2\(\frac{1}{2}\)%
Correct answer is D
SI = \(\frac{PRT}{100}\)
39 = \(\frac{520 \times R \times 3}{100}\)
1560R = 3900
R = \(\frac{3900}{1560}\)
= 2.5%
R = 2\(\frac{1}{2}\)%