Solved Math Problems for Students | Desklib

Solution
Q1)
(a -2b)2 + 2(a + b)2
[a(a-2b) -2b(a-2b)] + [2(a(a + b) + b(a + b))]
[a2 -2ab -2ab + 4b2] + [2(a2 + ab + ab + b2)]
a2 -4ab + 4b2 + 2a2 + 4ab + 2b2
3a2 + 6 b2
3(a2 + 2 b2)
Q2) 2*a+ b
2*(¿2
1 )¿ + (¿−3
2 )¿ = (¿1
4 )¿
Q3)
4∗P∗h
4 =4∗m∗4
h = 16 m
P
Q4)
A(1, 6) and B(3, 24)
F(x) = y = b*ax
Y2/y1 = ax2 –x1
24/6 = a3-1
4 = a2
a = 2
and
b = y1/ax1 = 6/21
= 3

F(x) = 3*2x
Q5)
x -2 -1 0 1
f(x) 4 2.5 1 -0.5
g(x) -6 -3 0 3
h(x) 0 2 2 3
Therefore,
C = g(x)
B = h(x)
A = f(x)
Q6)
a = e
ln (0.5 )
t = e
ln (0.5 )
4 = 0.8409
8 = b*0.84093
b = 13.454
f(x) = 13.454 *0.8409x
using the equation above
f(x) = 13.454 *0.8409x
when x = -1
f(x) = 13.454 *0.8409-1
= 8
when x = 11
f(x) = 13.454 *0.840911
= 2
when y = 0.5
0.5 = 13.454 *0.8409x