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.
Learn more about system of linear equations, by the following link.
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Answer:
<em>y = x ÷ 2</em>
Step-by-step explanation:
We are given a table of values, which will be represented as ordered pairs (x,y) below:
(2,1) (4,2) (8,4) (10,5) (16,8)
We are required to select one of the functions that match the numeric relationship between x and y.
We could test them one by one, but at simple observation, we can note the values of y are half of the values of x:
2/2=1
4/2=2
And so on. Thus the only function that divides the value of x by 2 to find the value of y is:
y = x ÷ 2
Answer:
The lateral surface area of the cone is 
.
Step-by-step explanation:
We have.
Height of a cone is 60 m
Diameter of a cone is 10 m
Radius, r = 80 m
The lateral surface area of a cone is given by :
l is slant height of the cone,
Plugging all values in above formula,
So, the lateral surface area of the cone is .
Answer: 25 + 15x ≤ 150
Step-by-step explanation: For this problem we will write an inequality to represent this situation.
Let x equal each additional day.
25 + 15x ≤ 150
The inequality above states that the dog owner will spend $25 for the first day and then for each additional day the dog owner will spend $15, but is budget is no more than $150 that the dog owner can spend.
Speed = distance ÷ time so it's probably
35÷120=0.291 or 7/24 miles per hour
