By induction:
It's true for
, since
clearly contains a factor of 3.
Suppose it's true for
, that
is divisible by 3. Then
where
is an integer. This reduces to
and both terms are clearly multiples of 3. We know that
is an integer since we had set
previously, which implies
is a multiple of
. So the statement is true.
Answer:
2500 pence (C = 2500)
Step-by-step explanation:
From the given information, t is the number of texts so essentially you will plug in the number of texts provided (150) in the place of the variable t.
Apply the same thing to minutes, plug in the number of minutes (50) in the place of the variable m.
Now multiply the substitutes with the co-efficient.
(10*150=1500 & 20*50=1000)
Add the addends
C = 2500
Answer:
18) 6x^2-7x-5
19) 20x^2+17x-63
20) 18x^2-20x+2
21) 5x^2+42x+16
Step-by-step explanation:
Perimeter=length×breadth
18) (3x-5)(2x+1)
=6x^2+3x-10x-5
=6x^2-7x-5
19) (4x+9)(5x-7)
=20x^2-28x+45x-63
=20x^2+17x-63
20) (18x-2)(x-1)
=18x^2-18x-2x+2
=18x^2-20x+2
21) (5x+2)(x+8)
=5x^2+40x+2x+16
=5x^2+42x+16
For both complementary and supplementary angle...” No. For both complementary and supplementary angles, you can only have 2 angles and both of them must have positive measure. 1 or 3 or 4 angles can't be complementary or supplementary.
