Find (101\(_2\))\(^2\), expressing the answer in base 2.
You can convert it to base 10 and square, then re-convert it after the operation.
OR
You can multiply it straight applying the rules of binary multiplication.
By selling some crates of soft drinks for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?
S.P = N600.00
(100 + 50)% = N600
150% = N600
1% = \(\frac{600}{150}\)
100% = \(\frac{600}{150} \times 100%\)
= N400
If R = [2, 4, 6, 7] and S = [1, 2, 4, 8], then R∪S equal
R = {2, 4, 6, 7}; S = {1, 2, 4, 8}
R \(\cup\) S = {1, 2, 4, 6, 7, 8}
Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)
\(\frac{6x - 1}{x^2 + 4x - 5}\)
The expression is undefined when \(x^2 + 4x - 5 = 0\)
\(x^2 + 5x - x - 5 = 0\)
\(x(x + 5) - 1(x + 5) = 0\)
\((x - 1)(x + 5) = 0\)
The expression is undefined when x = 1 or -5.
Which of the following could be the inequality illustrated in the sketch graph above?
Gradient of the line = \(\frac{3 - 0}{0 - 1}\)
= -3
y = -3x + b.
Using (1,0), we have
0 = -3(1) + b
0 = -3 + b
b = 3
y = -3x + 3
\(\therefore\) The graph illustrates y \(\leq\) -3x + 3.