For the given table, the difference between two consecutive y terms are
It means the difference is constant. So the given function is in arithmetic progression.
And to find the equation, representing the given series, we will use the formula for the nth term of arithmetic series, which is
Here,
So we will get
Answer: D
Explanation:
The equation of a line in the point slope form is expressed as
y - y1 = m(x - x1)
where
m represents slope
x1 and y1 represents coordinates of the point that the line passes.
From the information given, the equation of the path of the old route is
y = 2x/5 - 4
Recall, the equation of a line in the slope intercept form is expressed as
y = mx + c
By comparing both equations,
slope, m = 2/5
If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then
m = 2/5
x1 = Q
y1 = P
The equation of the new route be
y - P = 2/5(x - Q)
Because 35 is divisible by 7, but 23-21=2, so it becomes 25, which 7 is not a factor of. therefore, it is not divisible by 7.
Given:
The function is
To find:
The inverse of the given function.
Solution:
We have,
Put f(x)=y.
Interchange x and y.
Isolate the variable y.
Putting 
, we get
For 
,
It means for function and for inverse function 
because the range of the function is the domain of inverse function.
Therefore, for .
