Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{a - dh}\)
h = \(\frac{a - b}{ad}\)
h = \(\frac{1 - b}{ad - bc}\)
h = \(\frac{(a - b)^2}{ad - bc}\)
h = \(\frac{a - b}{ad - bc}\)
h = \(\frac{b - a}{ab - dc}\)
Correct answer is D
a = \(\frac{b(1 - ch)}{a - dh}\)
a = \(\frac{b - bch}{1 - dh}\)
= a - adh
= b - bch
a - b = bch + adn
a - b = adh
a - b = h(ad - bc)
h = \(\frac{a - b}{ad - bc}\)
72.0
27.0
36.0
3.5
24.5
Correct answer is B
If log\(_9\)x = 1.5,
9\(^1.5\) = x
9^\(\frac{3}{2}\) = x
(√9)\(^3\) = 3
∴ x = 27
N45.00
N48.00
N52.00
N60.00
N52.00
Correct answer is A
Let x be John's money, Janet already had N105, \(\frac{1}{3}\) of x was given to Janet
Janet now has \(\frac{1}{3^2}\)x + 105 = \(\frac{x + 315}{3}\)
John's money left = \(\frac{2}{3}\)x
= \(\frac{\frac{1}{4}(x + 315)}{3}\)
= \(\frac{2}{3}\)
24x = 3x + 945
∴ x = 45
100.02
1000.02
100.22
100.01
100.51
Correct answer is A
100 + \(\frac{1}{100}\) + \(\frac{3}{1000}\) + \(\frac{27}{10000}\)
\(\frac{1000,000 + 100 + 30 + 27}{10000}\) = \(\frac{1,000.157}{10000}\)
= 100.02
List all integers satisfying the inequality -2 \(\leq\) 2 x -6 < 4
2, 3, 4, 5
2, 3, 4
2, 5
3, 4, 5
4, 5
Correct answer is B
-2 \(\leq\) 2x - 6 < 4 = 2x - 6 < 4
= 2x < 10
= x < 5
2x \(\geq\) -2 + 6 \(\geq\)
= x \(\geq\) 2
∴ 2 \(\leq\) x < 5 [2, 3, 4]