Since
are in arithmetic progression,




and since
are in geometric progression,




Recall that


It follows that

so the left side is

Also recall that

so that the right side is

Solve for
.

Now, the numerator increases more slowly than the denominator, since


and for
,

This means we only need to check if the claim is true for any
.
doesn't work, since that makes
.
If
, then

If
, then

If
, then

There is only one value for which the claim is true,
.
All linear functions have in common...
1. Their highest exponent is 1.
2. The graphs of the equations are lines.
When finding things in common between different types of functions, you always have to look at the two sides of math; geometry and algebra. Geometry is all the graphs, and algebra is the equations.
I hope this helps!
Answer:
Answer is: A(Linear)
Step-by-step explanation:
A linear function is a function whose graph is a straight line.
It is given that Mary plotted a graph and she found out that the difference in the y values is the same. So such a thing could happen when a function is a linear function.
since, a linear equation is given as:
where a and b are real numbers.
so for distinct values of x say
we get the y-values as 
now,

so for equally spaced
we get the difference in y-value to be equal.
Hence, the function is Linear.
<h2>'
' in the form of
- b.</h2>
Step-by-step explanation:
We have,
+ 8x + 15
To express
+ 8x + 15 in the form of
- b = ?
∴
+ 8x + 15
Adding and subtracting 1, we get
=
+ 8x + 15 + 1 - 1
=
+ 8x + 16 - 1
=
+ 2(x)(4) +
- 1
Using the algebraic identity,

= 
Thus,
in the form of
- b.
Answer:
8.90476190
Step-by-step explanation:
divide the total number by the number of people