The solution to the simultaneous equations 3x + 5y = 4, 4x + 3y = 5 is
(\(\frac{-13}{11}, \frac{1}{11}\))
(\(\frac{13}{11}, \frac{1}{11}\))
(\(\frac{13}{11}, \frac{-1}{11}\))
(\(\frac{11}{13}, \frac{1}{11}\))
(13, 11)
Correct answer is B
3x + 5y = 4, 4x + 3y = 5
3x + 5y = 4 x 4
4x + 3y = 5 x 3
12x + 20y = 16.....(i)
12x + 9y = 15.......(ii)
subtract eqn.(ii) from eqn.(i)
11y = 1
y = \(\frac{1}{11}\)
12x + 20 x \(\frac{1}{11}\) = 16
12x = \(\frac{156}{11}\)
x = \(\frac{13}{11}\)
= \(\frac{13}{11}, \frac{1}{11}\)
N220.00
N222.00
N201.40
N202.00
N180.80
Correct answer is B
3 kg of garri at N13.00 per kg = N39.00
half a cow = N160.00
24 oranges at 10k each = N2.40
balance = N20.60
Adding all together = N222.00
The solution to the quadratic equation 5 + 3x - 2x2 = 0 is
(\(\frac{5}{2}\), 1)
(5, 3)
-(\(\frac{5}{2}\), -1)
(\(\frac{5}{2}\), -1)
Correct answer is D
5 + 3x - 2x2 = 0, (x + 1)(5 - 2x) (expand to check)
(x + 1)(5 - 2x) = 0
when x = 1 = 0, x = -1
when 5 - 2x = 0, x = \(\frac{5}{2}\) - 1
Simplify \(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)
\(\frac{2 - x}{(2x - 1)(x - 2)}\)
\(\frac{5 - x}{(2x - 1)(x - 2)}\)
\(\frac{4 - 2x}{2x - 1}\)
\(\frac{6 - 3x}{(2x - 1)(x - 2)}\)
Correct answer is C
\(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)
= \(\frac{3}{2x - 1}\) - \(\frac{x - 2}{x - 2}\)
= \(\frac{3}{2x - 1}\) - 1
= \(\frac{3 - (2x - 1)}{2x - 1}\)
= \(\frac{3 - 2x + 1}{2x - 1}\)
= \(\frac{4 - 2x}{2x - 1}\)
In a regular polygon of n sides, each interior angle is 144°. Find n
12
11
10
8
6F
Correct answer is C
Formula for an interior angle of a polygon is (2n - 4) x 90
(2n - 4) x 90 = 144n
190n - 360 = 144n
n = \(\frac{360}{36}\)
= 10