Find the nth term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...
2n x 3(n + 1)
2n x 3n
2n x 3n
2n x 3n−1
Correct answer is B
2 x 3, 4 x 6, 8 x 9, 16 x 12,...
21 x 3 x 1, 22 x 3 x 2, 23 x 3 x 3, 24 x 3 x 4,.... 2n x 3n
(3x + 2)(1 - x)
(3x + 2)(2x + 1)
3(x+2)2
3(x + 1)(1 - x)
Correct answer is D
(x+2)2 - (2x+1)2
= (x2+4x+4)−(4x2+4x+1)
= x2 + 4x + 4 - 4 x2 - 4x - 1
= -3 x2 + 3
= 3 - 3 x2
= 3(1 - x2)
= 3(1 + x)(1 - x)
Solved the equation 2x2−x−6 = 0
x = −32 or 2
x = -2 or 32
x = -3 or 2
x = 3 or -2
Correct answer is A
2x2−x−6 = 0
2x2−4x+3x−6 = 0
2x(x - 2) + 3(x - 2) = 0
(2x + 3) (x - 2) = 0
Either; 2x + 3 = 0 or x - 2 = 0
x = −32 or x = 2
Find the value of x for which x−5x(x−1) is defined
0 or 5
-5 or 5
-11 or 5
0 or 1
Correct answer is A
The expression x−5x(x−1) is defined whten
x(x - 5) = 0.38
either x = 0 or x - 5 = 0
Hence, x = 0 or x = 5
The total surface area of a hemispher is 75πcm2. Find the radius.
5.0 cm
7.0 cm
8.5 cm
12.0 cm
Correct answer is A
Total surface area of hemisphere is
3πr2 = 75πcm2
r2 = 75π3π
r2 = 25
r = √25
r = 5cm