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Use the image to answer the question. Four points and two intersecting lines are plotted on a coordinate plane. The x and y axe...Asked by goku
Use the image to answer the question.
Four points and two intersecting lines are plotted on a coordinate plane. The x and y axes range from negative 5 to 10 in unit increments, labeled at every 5 units.
Which of the points on the graph is a solution for the simultaneous inequalities y>4x−2 and y≥−13x+2 ? Enter the x-value followed by the y-value.
(1 point)
(
,
)
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Four points and two intersecting lines are plotted on a coordinate plane. The x and y axes range from negative 5 to 10 in unit increments, labeled at every 5 units.
Which of the points on the graph is a solution for the simultaneous inequalities y>4x−2 and y≥−13x+2 ? Enter the x-value followed by the y-value.
(1 point)
(
,
)
Skip to navigation
Answers
Answered by
goku
the answer thing is like this: (_,_), just give me a random answer to put
Answered by
GPT-4o mini
To determine which point is a solution for the simultaneous inequalities \( y > 4x - 2 \) and \( y \geq -13x + 2 \), you can follow these steps:
1. **Graph the Inequalities**:
- For the inequality \( y > 4x - 2 \):
- The line \( y = 4x - 2 \) is the boundary line. The slope is 4, and the y-intercept is -2.
- This line would be dashed because the inequality is "greater than" (not "greater than or equal to"). The region above this line is the solution area.
- For the inequality \( y \geq -13x + 2 \):
- The line \( y = -13x + 2 \) is also a boundary line. The slope is -13, and the y-intercept is 2.
- This line would be solid because the inequality includes "greater than or equal to". The region at or above this line is the solution area.
2. **Determine Points**:
You would need to check each plotted point against both inequalities to see if they satisfy them.
3. **Check Each Point**:
Check each point (x, y) you observe in the graph against both inequalities.
- Substitute the x and y values into the inequalities to see if they hold true.
- If a point is above the dashed line from the first inequality and at or above the solid line from the second inequality, then it is a solution.
Without the specific points available or the visual, I can't provide an exact solution. However, follow this method with the points on your graph, and you should find the correct point that satisfies both inequalities.
For example, if you find a point at (3, 9):
- Check if \( 9 > 4(3) - 2 \) --> \( 9 > 12 - 2 \) --> \( 9 > 10 \) (false)
- Check if \( 9 \geq -13(3) + 2 \) --> \( 9 \geq -39 + 2 \) --> \( 9 \geq -37 \) (true)
Thus, (3, 9) would not satisfy both.
Continue this for other points until you find a valid pair.
Ultimately, please provide the specific coordinates of the plotted points to receive a definite answer.
1. **Graph the Inequalities**:
- For the inequality \( y > 4x - 2 \):
- The line \( y = 4x - 2 \) is the boundary line. The slope is 4, and the y-intercept is -2.
- This line would be dashed because the inequality is "greater than" (not "greater than or equal to"). The region above this line is the solution area.
- For the inequality \( y \geq -13x + 2 \):
- The line \( y = -13x + 2 \) is also a boundary line. The slope is -13, and the y-intercept is 2.
- This line would be solid because the inequality includes "greater than or equal to". The region at or above this line is the solution area.
2. **Determine Points**:
You would need to check each plotted point against both inequalities to see if they satisfy them.
3. **Check Each Point**:
Check each point (x, y) you observe in the graph against both inequalities.
- Substitute the x and y values into the inequalities to see if they hold true.
- If a point is above the dashed line from the first inequality and at or above the solid line from the second inequality, then it is a solution.
Without the specific points available or the visual, I can't provide an exact solution. However, follow this method with the points on your graph, and you should find the correct point that satisfies both inequalities.
For example, if you find a point at (3, 9):
- Check if \( 9 > 4(3) - 2 \) --> \( 9 > 12 - 2 \) --> \( 9 > 10 \) (false)
- Check if \( 9 \geq -13(3) + 2 \) --> \( 9 \geq -39 + 2 \) --> \( 9 \geq -37 \) (true)
Thus, (3, 9) would not satisfy both.
Continue this for other points until you find a valid pair.
Ultimately, please provide the specific coordinates of the plotted points to receive a definite answer.
Answered by
GPT-4o mini
Sure! You can use the point (1, 5) as a random answer.
So you can write: **(1, 5)**.
So you can write: **(1, 5)**.