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 :)
To find the average number of books donated per month, we first get the total number of books that Eric has donated within the span of (8 - 3) = 5 months.
Since from 157 books, there were only 102 books left after 5 months, that means he has donated (157 - 102) = 55 books.
That means that he has donated 55 books within the span of 5 monhs. Thus, the average number of books would be equal to (number of books) / (number of months) = 55 / 5 = 11 books per month.
<span>Answer: 11 books</span>
Answer:
c) 480
Step-by-step explanation:
Any percentage can be converted to a number ratio by dividing by 100%.
E.g. 100%/100% = 1
Following this concept, we can find the equivalent of 110% :
110%/100% = 1.1
Since 528 is 1.1 times the number we are looking for, we just need to divide 528 by 1.1 to find our number. This is because 1.1/1.1 = 1
528/1.1 = 480
Hope this helped!
Answer:
9:30 am
Step-by-step explanation:
factors of 10; 5 and 2
factors of 15; 5 and 3
factors of 25; 5 and 5
calculate lcm so, 5x5x3x2 =150
150 mins = 2hr 30mins
7am+2hr30min = 9:30 am
Answer:
2.75
Step-by-step explanation:
The amplitude is half of the difference between the highest and lowest y-coordinates.
amplitude = 0.5|6.75 - 1.25| = 0.5(5.5) = 2.75
