F: R → R is given by, f(x) = [x]
It is seen that f(1.2) = [1.2] = 1, f(1.9) = [1.9] = 1
So, f(1.2) = f(1.9), but 1.2 ≠ 1.9
f is not one-one
Now, consider 0.7 ε R
It is known that f(x) = [x] is always an integer. Thus, there does not exist any element x ε R such that f(x) = 0.7
So, f is not onto
Hence, the greatest integer function is neither one-one nor onto.
The answer was quite complicated but I hope it will help you.
Answer:
Step-by-step explanation:
-3x - 21 + 2x -4
-x - 25
-(x + 25)
Answer:
80π
Step-by-step explanation:
Circle O with radius IO:
large radius = IO = 12 = R
Circle O with diameter JK
IJ = JK = KL = 2 × IO = 24
IJ = JK = KL = 24/3 = 8
small radius = 8/2 = 4 = r
The shaded area is a semicircle of radius 12 minus a semicircle of radius 4 plus two semicircles of radius 4.
That is the same as
1 semicircle of radius 12 plus 1 semicircle of radius 4
A = πR²/2 + πr²/2
A = π(12² + 4²)/2
A = 160π/2
A = 80π
(B) x = 40
Step-by-step explanation:
4x + 20 = 180
4x = 160
x = 40
Answer:
The third equation: 
Step-by-step explanation:
The two points on the line are 
and 
.
Slope of the line passing through two points 
and 
is given as:
Here, and are and .
Therefore, slope is equal to, 
Now, equation of a straight line with slope m and points and is given as:
Now, if we use the 2nd form, then 
.
So, the equation is given as :
