Find the value of x such that \(\frac{1}{x}\) +\(\frac{4}{3x}\) - \(\frac{5}{6x}\) + 1 = 0
\(\frac{1}{6}\)
\(\frac{1}{4}\)
\(\frac{-3}{2}\)
\(\frac{-7}{6}\)
Correct answer is C
\(\frac{1}{x}\) +\(\frac{4}{3x}\) - \(\frac{5}{6x}\) + 1 = 0
using 6x as lcm
→ \(\frac{6+8-5+6x}{6x}\)
→ \(\frac{9+6x}{6x}\) = 0
9+6x = 0
6x = -9
x = \(\frac{-9}{6}\) or \(\frac{-3}{2}\)
What value of p will make (x\(^2\) - 4x + p) a perfect square?
-2
16
4
-8
Correct answer is C
(x\(^2\) - 4x + p)
Use the coefficient of the middle variable(-4x)
= (\(\frac{-4}{2}\))\(^2\)
= (-2)\(^2\)
= 4
If Stephen is good at Mathematics, then he is intelligent
If Stephen is not good at Mathematics, then he is not intelligent
If Stephen is not intelligent, then he is not good at Mathematics
If Stephen is not good at Mathematics, then he is intelligent
Correct answer is B
If p implies (→) q
then not (~) q → not (~) p
Option B
$(2x-8)
$(2x+8)
$(2x-2)
$(2x+2)
Correct answer is D
Mary(m), Ben(b) Jane(j) m = b +3 m = j - 5 where m = x b = x - 3 and j = x + 5 b+ j → x - 3 + x + 5 = 2x +2 Jane and Ben have $(2x+2)
If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x\(^2\) -9y\(^2\))?
20
16
2
8
Correct answer is D
5x + 3y=4
5x-3y= 2
Using elimination method
5x + 3y=4 → 5x + 3y=4
-[5x-3y= 2] → -5x +3y= -2
6y = 2
y → 1/3 and x = 3/5
solving (25x\(^2\) -9y\(^2\))
25 * [3/5]\(^2\) -9 * [1/3]\(^2\)
25 * \(\frac{9}{25}\) - 9 \(\frac{1}{9}\)
9 - 1 = 8