HardMath· Advanced Math· Nonlinear equations in one variable and systems of equations in two variables· SPR
In the xy-plane, the graph of intersects the graph of at the points and . What is the value of a ?
Correct answer: 5
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Explanation
The correct answer is 5. The intersection points of the graphs of and can be found by solving the system consisting of these two equations. To solve the system, substitute x for y in the first equation. This gives . Subtracting x from both sides of the equation gives . Factoring out of each term on the left-hand side of the equation gives . Therefore, the possible values for x are 0 and 5. Since , the two intersection points are and . Therefore, .
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id cb_question_bank:b2cfac8c-e812-499a-a440-ed0f458ba864 · question 1697ffcf · IBN 06323-DC
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