Answer:
HERE
Step-by-step explanation:
To determine which system has x = 3 and y = 2.5 as its solution, we need to substitute these values into each system of equations and check which one satisfies the conditions.
System 1: 7x - 5y = 33.5
Substituting x = 3 and y = 2.5:
7(3) - 5(2.5) = 21 - 12.5 = 8.5
System 2: 3x + 3y = 1.5
Substituting x = 3 and y = 2.5:
3(3) + 3(2.5) = 9 + 7.5 = 16.5
System 3: 4x + y = 9.5
Substituting x = 3 and y = 2.5:
4(3) + 2.5 = 12 + 2.5 = 14.5
System 4: 5x - y = 12.5
Substituting x = 3 and y = 2.5:
5(3) - 2.5 = 15 - 2.5 = 12.5
System 5: 2x - 5y = 18.5
Substituting x = 3 and y = 2.5:
2(3) - 5(2.5) = 6 - 12.5 = -6.5
System 6: x + y = 5.5
Substituting x = 3 and y = 2.5:
3 + 2.5 = 5.5
System 7: 11x + 10y = 8
Substituting x = 3 and y = 2.5:
11(3) + 10(2.5) = 33 + 25 = 58
System 8: 5x - 2y = -20
Substituting x = 3 and y = 2.5:
5(3) - 2(2.5) = 15 - 5 = 10
From the calculations, we can see that only System 4: 5x - y = 12.5 satisfies the given conditions when x = 3 and y = 2.5. Therefore, the correct answer is System 4.
Answer:
see explanation
Step-by-step explanation:
given the translation rule
(x, y ) → (x - 5, y - 7 )
• x - 5 , means subtract 5 from the original x- coordinate
• y - 7 means subtract 7 from the original y- coordinate
Then
P (- 3, - 1 ) → P' (- 3 - 5, - 1 - 7 ) → P' (- 8, - 8 )
Q (0, - 1 ) → Q' (0 - 5, - 1 - 7 ) → Q' (- 5, - 8 )
R (- 1, - 3 ) → R' (- 1 - 5, - 3 - 7 ) → R' (- 6, - 10 )
The graph shows a line of best fit because the points fit around the line.
The graph shows a line of best fit because there is a straight line.
The graph shows a line of best fit because the association is zero.
The graph shows a line of best fit because the points are plotted evenly above and below the line.
The best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have a line of best fit shown in the picture.
As we know if the slope of the line is positive then the correlation will be positive.
From the line of best fit:
Because the points are evenly spaced above and below the line, the graph displays a line of best fit.
Thus, the best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.
Learn more about the line of best fit here:
#SPJ5
Answer:
The graph shows a line of best fit because the points are plotted evenly above and below the line.
Step-by-step explanation:
Answer:
each side of the square is 25cm
Step-by-step explanation:
this is because of two things:
1. a square has equal sides
2. the perimeter is all the sides added together.
so if you call the length of one side x, you can make this equation:
x + x + x + x = 100
combine like terms
4x = 100
divide both sides by 4
x = 100/4
x = 25
Answer:
25 cm
I hope this helps!