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In the xy-plane, the graph of the equation y = 3x2 - kx - 35 intersects the x-axis at (5, 0). What is the value of k ?
Correct answer is '8'. Can you explain this answer?
Most Upvoted Answer
In the xy-plane, the graph of the equation y = 3x2 - kx - 35 intersect...
Given equation: y = 3x2 - kx - 35
Substitute x = 5 and y = 0: 0 = 3(5)2 - k(5) - 35
Simplify: 0 = 75 - 5k - 35
Simplify: 0 = 40 - 5k
Add 5k: 5k = 40
Divide by 5: k = 8
Substitute x = 5 and y = 0: 0 = 3(5)2 - k(5) - 35
Simplify: 0 = 75 - 5k - 35
Simplify: 0 = 40 - 5k
Add 5k: 5k = 40
Divide by 5: k = 8
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Community Answer
In the xy-plane, the graph of the equation y = 3x2 - kx - 35 intersect...
The given information:
The equation of the graph is y = 3x^2 - kx - 35.
The graph intersects the x-axis at (5, 0).
Explanation:
To find the value of k, we need to substitute the x-coordinate of the point of intersection (5) into the equation and solve for k.
Substituting the x-coordinate:
When the graph intersects the x-axis, the y-coordinate is 0. Therefore, we substitute y = 0 and x = 5 into the equation:
0 = 3(5)^2 - k(5) - 35
Simplifying the equation:
0 = 75 - 5k - 35
0 = 40 - 5k
Solving for k:
To solve for k, we isolate it on one side of the equation:
5k = 40
k = 40/5
k = 8
Conclusion:
The value of k is 8, as it satisfies the equation when substituted back into the equation.
The equation of the graph is y = 3x^2 - kx - 35.
The graph intersects the x-axis at (5, 0).
Explanation:
To find the value of k, we need to substitute the x-coordinate of the point of intersection (5) into the equation and solve for k.
Substituting the x-coordinate:
When the graph intersects the x-axis, the y-coordinate is 0. Therefore, we substitute y = 0 and x = 5 into the equation:
0 = 3(5)^2 - k(5) - 35
Simplifying the equation:
0 = 75 - 5k - 35
0 = 40 - 5k
Solving for k:
To solve for k, we isolate it on one side of the equation:
5k = 40
k = 40/5
k = 8
Conclusion:
The value of k is 8, as it satisfies the equation when substituted back into the equation.
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In the xy-plane, the graph of the equation y = 3x2 - kx - 35 intersects the x-axis at (5, 0). What is the value of k ?Correct answer is '8'. Can you explain this answer?
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