Given that log\(_3\) 27 = 2x + 1, find the value of x.
0
1
2
3
Correct answer is B
Recall that: log\(_3\) 27 → log\(_3\)3\(^3\)
3log\(_3\)3 → 3 * 1
= 3
Then log\(_3\) 27 = 2x + 1
→ 3 = 2x + 1
3 - 1 = 2x
2 = 2x
1 = x
3:20
3:17
17:20
20:23
Correct answer is C
Where the loss= (100-15)%
= 85%
Ratio = 85:100 or 17:20
If the equations x\(^2\) - 5x + 6 = 0 and x + px + 6 = 0 have the same roots, find the value of p.
5
6
-5
-6
Correct answer is C
If "x" is the same for both equations, then they are equivalent.
(i.e., the equations have same roots), then the equations are equivalent.
Then p = -5
The straight line y = mx - 4 passes through the point(-4,16). Calculate the gradient of the line
-5
-3
3
5
Correct answer is A
where x=-4 and y = 16,
16 = -4m - 4
4m = -16 - 4
4m = -20
M = -5
The mean of two numbers x and y is 4. Find the mean of four numbers x, 2x, y and 2y
2
4
6
8
Correct answer is C
Since the mean of the two numbers x and y is:
\(\frac{x+y}{2}\) = 4
x+y =2 * 4
x+y = 8
then we get:
\(\frac{x+2x+y+2y}{4}\)
=(\(\frac{3x+3y}{4}\))
= 3(\(\frac{x+y}{4}\)) → 3(\(\frac{8}{4}\))
= 3 * 2
= 6