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pillar
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Homework Statement
Find at what points these two functions intercept.
y=x+1 y=9-(x^2)
Homework Equations
x+1=9-(x^2)
The Attempt at a Solution
(x^2)-x-8=0
LCKurtz said:I assume you mean "intersect". Either complete the square or use the quadratic formula. And check the sign on your x term.
The equation for finding the intercept of x+1 and 9-(x^2) is y = x+1 = 9-(x^2). This can also be written as y = x+1 = 9-x^2.
To plot the intercept of x+1 and 9-(x^2) on a graph, you need to first solve for the value of x that makes the equation equal to 0. This value of x will be the x-coordinate for the intercept. Then, plug this value of x into the equation to find the corresponding y-coordinate. Plot these coordinates on the graph to show the intercept.
Finding the intercept of x+1 and 9-(x^2) allows us to identify the point where the graph of the equation crosses the x-axis and the y-axis. This information is helpful in graphing the equation and understanding its behavior.
Yes, there are two special cases to consider when finding the intercept of x+1 and 9-(x^2). The first case is when x+1 = 0, which means that the intercept lies on the y-axis. The second case is when 9-(x^2) = 0, which means that the intercept lies on the x-axis. These cases can be found by setting each part of the equation equal to 0 and solving for x.
Finding the intercept of x+1 and 9-(x^2) can be applied in various fields of science and engineering. For example, in physics, this information can be used to determine the motion of an object by plotting its position over time. In economics, it can be used to identify the break-even point for a business. In chemistry, it can be used to calculate the pH level of a solution. These are just a few examples of how finding the intercept of an equation can be useful in real-world applications.