Answer:
<em>Table shown below</em>
Step-by-step explanation:
<u>Linear Modeling</u>
It consists of finding and using the equation of a line to represent the behavior of a real situation in numerical terms.
We are given the model of the charges for a satellite radio company that charges a fixed fee of $36 for installation and a variable fee of $42 per month for use.
The model is written as:
C(m) = 36 + 42m
Where m is the number of months.
For m=1:
C(1) = 36 + 42(1)=$78
For m=2:
C(2) = 36 + 42(2)=$120
For m=3:
C(3) = 36 + 42(3)=$162
For m=4:
C(4) = 36 + 42(4)=$204
For m=5:
C(5) = 36 + 42(5)=$246
The calculations are resumed in the table shown below.
4x - 2y - 3x + 5y = 4x - 3x + 5y - 2y = x + 3y
To calculate the length of the diagonal, use the Pythagorean theorem:
c^2 = a^2 + b^2, where c is the diagonal.
c^2 = 65^2 + 34^2
c^2 = 4225 + 1156
c^2 = 5381
c ~ 73.36
To the nearest tenth of a meter, the diagonal has a length of 73.4 m
1.; 3.; 5. are prime numbers.
All others are composite numbers.
Good luck!