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Determine whether the system of equations has one solution, no solution, or infinitely many solutions by graphing. If the system
has one solution, name it.
3x-y = 14
-6+ 2y = -28
A. One solution (2,2)
B. Infinitely many solutions
C. No solutions
D. No Solutions
3x-y = 14
-6+ 2y = -28
A. One solution (2,2)
B. Infinitely many solutions
C. No solutions
D. No Solutions
2 answers:
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Answer:
Option C. The robin flies fastest because its rate is 15 m/s
Step-by-step explanation:
Let
x -----> the time in seconds
y ----> the distance in meters
The speed is equal to divide the distance by the time
In this problem, the slope or unit rate of the linear equation is the same that the speed
<em>Robin's Flight</em>
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
take two points from the table
(2,30) and (3,45)
substitute in the formula
<em>Cardinal's Flight</em>
<em>Blue Jay's Flight</em>
take two points from the graph
(0,0) and (2,20)
substitute in the formula
Compare
The robin flies fastest because its rate is 15 m/s
The illustration of the given mathematical elements is as in the attached images.
<h3>Illustration of mathematical elements</h3>For line segments;
- The beginning and end of the line are specified by the assigned alphabets.
However, for rays;
- The ray is illustrated to originate from a point and span on from there till infinity.
For angles;
- The alphabet in the middle of the set of 3 alphabets used to identify the angle represents the center point of where the angle is located.
Read more on illustration of mathematical elements;
