The solution of the system of equations means that following:
1- In case we are dealing with system of equations, the solution would be the point of intersection of the two graphs
2- In case we're dealing with only one equation, the solution would be the points of intersection of the graph with the x-axis
Graph (a):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that there is only one point of intersection between the two lines (-3,-1). Therefore, the system of equations has only one solution
Graph (b):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that the two lines are parallel. This means that they will never intersect. Therefore, the system of equations has no solutions
Graph (c):
The graph is for a single line. Therefore, the solution(s) would be the point(s) that make the overall equation equal to zero, i.e. point(s) of intersection with the x-axis.
From the graph, we can note that the line intersects with the x-axis only once at point (2,0). This means that the line has only one solution.
Hope this helps :)
Answer:
The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.
Step-by-step explanation:
Physically speaking, average speed (
), measured in miles per hour, is the distance travelled (
), measured in miles, divided by time (
), measured in hours. That is:
(1)
The time needed by the vehicle is:
If we know that 
and , then the average velocity of the car is:
The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.
The answer would be the top one and the 3rd one
Answer:
No. of times Ellen draws a blue marble = 120
Step-by-step explanation:
No. of red marbles = 3
No. of blue marbles = 2
So, the required probability is 120.
Answer:
75th term in the sequence is 227.
Step-by-step explanation:
75 term of A.P is
a_75= a+ (n-1)d
Given series is 5,8,11,14.
hence a= 5 d= 8-5 = 3 , a_75.
a_75 = 5+(75-1)3
= 5+ (74)3
= 5 +(222)
= 227
