We have to give counter example for the given statement:
"The difference between two integers is always positive"
This statement is not true. As integers is the set of numbers which includes positive and as well as negative numbers including zero.
Consider any two integers say '2' and '-8'. Now, let us consider the difference between these two integers.
So, 2 - 8
= -6 which is not positive.
Therefore, it is not necessary that the difference of two integers is only positive. The difference of two integers can be positive, negative or zero.
Hello,
y=-k(x+2)(x-1/2)(x-3) where k is a real positive.
We may chose k=1
There are an infinite solutions.
Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x or 
for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as
; y = 342x
on comparing with equation (1) we get a =3 and b =4
⇒y = 34^x or 
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as
![y=\frac{\sqrt[3]{5^{3x}}}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B5%5E%7B3x%7D%7D%7D%7B2%7D)
; y = 342x
on comparing with equation (1) we get a =0.5 and b =5
⇒y = 
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as
on comparing with equation (1) we get a =64 and b =8
y = 
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as
= 
= 
on comparing with equation (1) we get a =3 and b =3
y =
The president before Obama was George W. Bush
Step-by-step explanation:
CAR /50 km/h Typical car speed on residential roads or busy city roads
80–90 km/h Vehicle on main road, travelling reasonably fast
100–120 km/h Fast car on motorway, typical speed of a cheetah running, freight trains
200–300 km/h High speed train
MOTORCYCLE Make & model Model years Top speed
Kawasaki ZX-14 2006– 186 mph (300 km/h)
MV Agusta F4 R 312 2007-08 185.4–193.24 mph (298.37–310.99 km/h)
BMW S1000RR 2009- 188 mph (303 km/h)
Ducati Panigale R 2013- 202 mph (325 km/h)
