The first term of a geometric progression (G.P) is 3 and the 5th term is 48. Find the common ratio.
2
4
8
16
Correct answer is A
T5 = ar4
483=3r43
16 = r4
r = 4√16
= 2
~ y → ~ x
y → ~ x
~ x → ~ y
y → x
Correct answer is C
No explanation has been provided for this answer.
Solve 3x - 2y = 10 and x + 3y = 7 simultaneously
x = -4 and y = 1
x = -1 and y = -4
x = 1 and y = 4
x = 4 and y = 1
Correct answer is D
3x - 2y = 10 - - x 3
x + 3y = 7 ---x 2
------------------------
9x - 6y = 30
2x + 6y = 14
-------------------------
11x114411
x = 4
From x + 3y = 7
3y = 7 - 4
3y3 = 33
y = 1
If x = 3 and y = -1, evaluate 2(x2 - y2)
24
22
20
16
Correct answer is D
2(x2−y2)
= 2(x + y)(x - y)
= 2(3 + (-1))(3 - (-1))
= 2(2)(4) = 16
= x + y√15, find the value of (x + y)
135
125
115
15
Correct answer is C
√3+√5√5 = x + y√15
cross multiply to have: √3 + √5 = x√5 + 5y√3
Collect like roots : x√5 = √5 → x = 1
5y√3 = √3 → y = 15
∴ ( x + y ) = 1 + 15
= 115