y = x3 and y = 3x2 + x - 28
y = x3 + 3x2 + 4x + 4 and the line y = \(\frac{28}{x}\)
y = x3 + 3x2 + 4x and y
y = x2 + 3x + 4 and y = \(\frac{28}{x}\)
y = x2 + 3x + 4 and line y = 28x
Correct answer is D
The graphical method of solving the equation x3 + 3x2 + 4x - 28 = 0 is by drawing the graphs of the curves
y = x2 + 3x + 4 and y = \(\frac{28}{x}\)`.
The solution of the quadratic equation bx2 + cx + a = 0 is given by
x = b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2a}\)
x = c \(\pm\) \(\frac{\sqrt{b^2 - 4ab}}{2b}\)
x = -c \(\pm\) \(\frac{\sqrt{c^2 - 4ab}}{2b}\)
x = -b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2b}\)
Correct answer is C
bx2 + cx + a = 0
a = b; b = c; c = a
x = -b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2a}\)
x = -c \(\pm\) \(\frac{\sqrt{c^2 - 4ab}}{2b}\)
The factors of 6x - 5 - x2 are
-(x + 3)(x + 2)
(x + 5)(x + 1)
(x - 5)(1 - x)
(x + 1)(x + 5)
Correct answer is C
6x - 5 - x2 = (-1)(-x2 - 5 + 6x) = x2 - 6x + 5 = (x - 5)(x - 1) -(x - 1) = 1 - x = (x - 5)(1 - x)
3y - x = 0; 2y - x = 0
3y - x = 14; x - 2y = 6
3y - x =7; x - 2y = 6
3y - x = 14; y - 2x = 6
x + 3y = 7; x = 2y = 12
Correct answer is B
7 years ago, Father(x - 7) years old, Son (y - 7) years x - 7 = 3(y - 7) x - 7 = 3y - 21 3y - x = -7 + 21 = 14 3y - x = 14 ... (1) In six years time, x + 6 = 2(y + 6) x + 6 = 2y + 12 2y + 12 = x + 6 12 - 6 = x - 2y 6 = x - 2y ... (2)
If N560.70 is shared in the ratio 7 : 2 : 1, what is the smallest share?
N392.49
N56.70
N113.40
N112.14
N56.07
Correct answer is E
7 + 2 + 1 = 10
\(\frac{1}{10}\) x 560.70
= N56.07