Which of the following is an ordered pair of the relation y=◂+▸− 2 3 x+6?(1 point) Responses (3,8) left parenthesis 3 comma 8 right parenthesis (◂,▸0,− 2 3 ) left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis (3,4) left parenthesis 3 comma 4 right parenthesis (1,4)
The correct answer is (3,4) left parenthesis 3 comma 4 right parenthesis.
Which of the following gives an example of a function that is not linear?(1 point) Responses y=◂−▸x2−3x+2.25 y equals x squared minus 3 x plus 2.25 y=◂+▸ 1 6 x+ 2 3 y equals Start Fraction 1 over 6 End Fraction x plus Start Fraction 2 over 3 End Fraction ◂+▸9x+3y−18=0 9 x plus 3 y minus 18 equals 0 ◂+▸2x+3y=16
The correct answer is y=◂−▸x^2−3x+2.25, which is a quadratic function.
To determine which of the given options is an ordered pair of the relation y=◂+▸− 2/3x+6, we can substitute the values of x and y from each option into the equation and see which one satisfies it.
Let's go through each option:
Option 1: (3, 8)
Substituting x=3 and y=8 into the equation, we have:
8 = -(2/3)(3) + 6
8 = -2 + 6
8 = 4
Since 8 is not equal to 4, option 1 is not a solution.
Option 2: (◂, ▸0, −2/3)
There seems to be a confusion with the symbols in this option, so it's not possible to determine its value. Let's move on to the next option.
Option 3: (3, 4)
Substituting x=3 and y=4 into the equation, we have:
4 = -(2/3)(3) + 6
4 = -2 + 6
4 = 4
Since 4 is equal to 4, option 3 is a solution.
Option 4: (1, 4)
Substituting x=1 and y=4 into the equation, we have:
4 = -(2/3)(1) + 6
4 = -2/3 + 6
4 = 18/3 - 2/3
4 = 16/3
Since 4 is not equal to 16/3, option 4 is not a solution.
Therefore, the ordered pair (3, 4) is the only solution to the given relation.