Question
Use the image to answer the question.
A coordinate plane's x-axis ranges from negative 5 to 5 and its y-axis ranges from negative 3 to 7, both in 1-unit increments. A parabola and a line are plotted. The line and parabola intersect at two points. 1 point of intersection is in quadrant 1 and the other is in quadrant 2.
Which of the following shows the solution(s) for this system of equations?
(1 point)
Responses
(−3,0) and (3,0)
left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 3 comma 0 right parenthesis
There are no solutions.
There are no solutions.
(−2,4) and (2,4)
left parenthesis negative 2 comma 4 right parenthesis and left parenthesis 2 comma 4 right parenthesis
(0,8)
left parenthesis 0 comma 8 right parenthesis
Skip to navigation
A coordinate plane's x-axis ranges from negative 5 to 5 and its y-axis ranges from negative 3 to 7, both in 1-unit increments. A parabola and a line are plotted. The line and parabola intersect at two points. 1 point of intersection is in quadrant 1 and the other is in quadrant 2.
Which of the following shows the solution(s) for this system of equations?
(1 point)
Responses
(−3,0) and (3,0)
left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 3 comma 0 right parenthesis
There are no solutions.
There are no solutions.
(−2,4) and (2,4)
left parenthesis negative 2 comma 4 right parenthesis and left parenthesis 2 comma 4 right parenthesis
(0,8)
left parenthesis 0 comma 8 right parenthesis
Skip to navigation
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Based on the information provided, there are two points of intersection between a line and a parabola, with one point located in quadrant 1 and the other in quadrant 2.
Quadrant 1 has coordinates where both x and y are positive (x > 0, y > 0), while quadrant 2 has coordinates where x is negative and y is positive (x < 0, y > 0).
Given the responses available:
- (−3,0) and (3,0): These points are on the x-axis, and both y-values are 0, which does not fit the description of the intersection points.
- There are no solutions: This contradicts the information provided, as the problem states there are intersections.
- (−2,4) and (2,4): This choice has one point in quadrant 2 (−2, 4) and one in quadrant 1 (2, 4), which fits the description perfectly.
- (0,8): This point is only in quadrant 1 and does not provide two points of intersection.
The correct answer showing the solutions for the system of equations is:
**(−2,4) and (2,4)**.
Quadrant 1 has coordinates where both x and y are positive (x > 0, y > 0), while quadrant 2 has coordinates where x is negative and y is positive (x < 0, y > 0).
Given the responses available:
- (−3,0) and (3,0): These points are on the x-axis, and both y-values are 0, which does not fit the description of the intersection points.
- There are no solutions: This contradicts the information provided, as the problem states there are intersections.
- (−2,4) and (2,4): This choice has one point in quadrant 2 (−2, 4) and one in quadrant 1 (2, 4), which fits the description perfectly.
- (0,8): This point is only in quadrant 1 and does not provide two points of intersection.
The correct answer showing the solutions for the system of equations is:
**(−2,4) and (2,4)**.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.