If P = {3, 5, 6} and Q = {4, 5, 6} then P∩Q equals
P ∩ Q = {5, 6}
A student found the approximate value of 0.02548 correct to two places of decimal instead of two significant figures. Find the percentage error.
0.02548 \(\approxeq\) 0.03 (to 2 decimal places)
0.02548 \(\approxeq\) 0.025 (2 sig. figs)
Error = 0.03 - 0.025
= 0.005
% error = \(\frac{0.005}{0.025} \times 100%\)
= 20%
Which of the following equations has its roots as 4 and -5?
(x - 4)(x + 5) = 0
x\(^2\) + 5x - 4x - 20 = 0
x\(^2\) + x - 20 = 0
Solve the equations: 4x -y = 11; 5x + 2y = 4.
4x - y = 11....(1) x 2 8x - 2y = 22....(3)
5x + 12y = 4....(2) x 1 5x + 2y = 4....(4)
add eqn (3) and (4)
13x = 26
x = 2
4(2) - y = 11 \(\implies\) y = 8 - 11
y = -3.