If \(\sqrt{3^{\frac{1}{x}}}\) = \(\sqrt{9}\) then the value of x is:
\(\frac{3}{4}\)
\(\frac{4}{3}\)
\(\frac{1}{3}\)
\(\frac{2}{3}\)
\(\frac{1}{2}\)
Correct answer is E
\(\sqrt{3^{\frac{1}{x}}}\) = \(\sqrt{9}\)
3\(^{\frac{1}{2x}}\) = \(9^{\frac{1}{2}}\)
3\(^{\frac{1}{2x}}\) = 3\(^{2 \times \frac{1}{2}}\)
3\(\frac{1}{2x}\) = 3\(\frac{2}{2}\) = 3
\(3^{\frac{1}{2x}}\) = \(3^{1}\)
\(\frac{1}{2x}\) = \(\frac{1}{1}\)
x = \(\frac{1}{2}\)
20 and 45
100 and 150
45 and 65
35 and 75
20 and 60
Correct answer is E
Son = x, Father = 3x, 12 yrs ago
son = x - 12, father = 3x - 12
3x - 12 = 6(x - 12)
3x - 12 = 6x - 72
3x = 60
x = 20
If y = x2 - 2x - 3, Find the least value of y and corresponding value of x
x = 3, y = 3
x = 1, y = -3
x = 4, y = 1
x = 1, y = -4
x = 2, y = -3
Correct answer is D
If the graph of eqn. y = x2 - 2x - 3 is plot and drawn, the lease value of y = -4 while the corresponding value of x = 1
x = 1, y = -4
\(\frac{31}{15}\)
\(\frac{31}{5}\)
\(\frac{129}{5}\)
\(\frac{43}{5}\)
\(\frac{16}{5}\)
Correct answer is D
F = 1, 2, 3, 4, 5
x = 1, 2, 4, 8, 16
fx = 1, 4, 12, 32, 80, 3f = 15
(average size) = \(\frac{\sum fx}{\sum f}\)
= \(\frac{129}{15}\)
= \(\frac{43}{5}\)
\(\frac{59300}{625}\)
\(\frac{50900}{625}\)
200%
+100%
Correct answer is C
Let x rept. the size of the quantity
2x + \(\frac{116}{100}\) x \(\frac{-84}{100}\)
= 200%