Respuesta :
The ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .
What is substitution method?
The substitution method is a simple way to solve a system of linear equations algebraically and find the solutions of the variables. As the name suggests, it involves finding the value of x-variable in terms of y-variable from the first equation and then substituting or replacing the value of x-variable in the second equation.
According to the question
y = 3[tex]x^{2}[/tex] – x+7
ordered pair does not represent a point on the graph
For this we will use substitution method and substitute value of x and check whether it satisfy y or not , form options
Option A: (-1.5,15.25)
x = -1.5
y = 15.25
substituting the value of x in equation
y = 3[tex]x^{2}[/tex] – x+7
y = 3[tex](-1.5)^{2}[/tex] + 1.5 + 7
y = 15.25
This is a point on graph as it satisfy the condition
Option B: (0.5,7.25)
x = 0.5
y = 7.25
substituting the value of x in equation
y = 3[tex]x^{2}[/tex] – x+7
y= 3[tex](0.5)^{2}[/tex]- 0.5 + 7
y = 7.25
This is a point on graph as it satisfy the condition
Option C: (1.25,10.25)
x = 1.25
y = 10.25
y = 3[tex]x^{2}[/tex] – x+7
substituting the value of x in equation
y = 3[tex](1.25)^{2}[/tex] - 1.25 + 7
y = 10.4375
This is not a point on graph as it does not satisfy the condition
Option D:(2.5,23.25)
x = 2.5
y = 23.25
y = 3[tex]x^{2}[/tex] – x+7
substituting the value of x in equation
y = 3[tex](2.5)^{2}[/tex] - 2.5 + 7
y = 23.25
This is a point on graph as it satisfy the condition
Hence, the ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .
To know more about substitution method here:
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