the table:4 represents a linear function.
What is system of linear equations?
The intersections or meetings of the lines or planes that represent the linear equations are known as the solutions of linear equations. The set of values for the variables in every feasible solution is a solution set for a system of linear equations.
Not a Solution
If there is no intersection of any lines, or if the graphs of the linear equations are parallel, then the system of linear equations cannot be solved.
An Endless Number of Options
A set of infinite points exists for which the L.H.S. and R.H.S. of an equation become equal, indicating that a system of linear equations has an infinite number of solutions.
Unique fixing a series of linear equations
For table 4: The slope will be (8-6)/(3-5) = 2/-2 = -1
and (10-8)/(1-3) = 2/-2 = -1
Hence, the table:4 represents a linear function.
For a function to be linear the slope of all the segments should be same.
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Answer:
15,300 + 18750 + 13,500 + 23,400 +19500 = 90,450
Step-by-step explanation:
divide all the numbers by 100, then multiplying by 3
Answer:
Yes! The equation, y = 12x + 28 , work.
Step-by-step explanation:
The line passes through points (-1, 16) and (5, 88)
The slope of the line = change in y ÷ change in x
i.e slope =
= 12
Taking another point (x ,y) on the line;
Slope is
= 12
y - 16 = 12x + 12
y = 12x + 12 + 16
y = 12x + 28
So the equation, y = 12x + 28, work!
Answer:
2/7
Step-by-step explanation
2+5 = 7
Fraction that goes to John = 2/7 of $140
Fraction that goes to Nathan = 5/7 of $140
Given:
The given function is
![y=\sec x](https://tex.z-dn.net/?f=y%3D%5Csec%20x)
To find:
The period of given function.
Solution:
General sec function is defined as
![y=A\sec (Bx+C)+D](https://tex.z-dn.net/?f=y%3DA%5Csec%20%28Bx%2BC%29%2BD)
Where, A is amplitude,
is period,
is phase shift and D is vertical shift.
We have,
![y=\sec x](https://tex.z-dn.net/?f=y%3D%5Csec%20x)
Here, B=1. So,
![Period=\dfrac{2\pi}{1}](https://tex.z-dn.net/?f=Period%3D%5Cdfrac%7B2%5Cpi%7D%7B1%7D)
![Period=2\pi](https://tex.z-dn.net/?f=Period%3D2%5Cpi)
Therefore, the period of given function is 2π.