The equation for the table is y = 2.5 x
Step-by-step explanation:
The table is:
- x → 2 : 5.6 : 7 : 8
- y → 5 : 14 : 17.5 : 20
Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates
∵ 
∵ 
∵ 
∴ The rate of change between each two points is constant
∴ The table represent a linear equation
The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0
∵ m = 2.5
- Substitute it in the form of the equation
∴ y = 2.5 x + b
- To find b substitute x and y by the coordinates of any point
in the table above
∵ x = 2 and y = 5
∴ 5 = 2.5(2) + b
∴ 5 = 5 + b
- Subtract 5 from both sides
∴ 0 = b
∴ y = 2.5 x
The equation for the table is y = 2.5 x
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Answer:
2x+5x-6
Step-by-step explanation:
Answer:
y = 3x-5
Step-by-step explanation:
The given statement is false.
What is the effect of a row operation on a determinant?
The factor by which a row operation intends to change the determinant is not equal to the determinant of the elementary matrix corresponding to that row operation. Rather, when a row is scaled up by a factor in a matrix, the determinant of that matrix also scales up by that factor.
Similarly, the factor by which a row operation changes the determinant is equal to the factor times the determinant of the elementary matrix corresponding to that row operation.
Learn more about a matrix here:
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