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 second one
Step-by-step explanation:
did this in 6th grade
Hi Lawrence!
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We Know:
Powersports Plus: $30 an hour plus a non-refundable deposit of $50.
Sun & Surf: $20 an hour plus a non-refundable deposit of $80.
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Equation:
x = per hour
y = total
Powersports: 30x + 50 = y
Sun and Surf: 20x + 80 = y
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Solution: (Add the deposit then start adding hourly costs)
Powersports: 80, 110, 140
Sun and Surf: 100, 120, 140
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Answer: After <u>3 hours</u> both companies will cost the same amount of money.
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Hope This Helps :)
Answer:
y = 2x(x - 21)
Step-by-step explanation:
The given quadratic function y = -40x + 2x^2 - 2x
This can be rearranged as
y = 2x^2 - 2x - 40x
Here the Greatest Common Factor is 2x, we can take it out and write the remaining term in parenthesis.
y = 2x(x - 1 -20)
y = 2x(x - 21)
That's the answer.
Hope this will helpful.
Thank you.
