Math Problem Statement
Solution
The question in the image asks to find the abscissa (x-coordinate) of the point B where two functions intersect. These functions are:
- (a square root function),
- (a linear function).
We need to find the x-coordinate of the point of intersection, labeled as point B.
To solve this:
- Find the intersection points: Set , meaning:
- Solve for x: Square both sides of the equation to remove the square root and then solve for .
From the graph, the approximate values for and intersect visually at two points. We can use the graph to estimate these coordinates and compare with our algebraic solution to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Algebra
Graphical Analysis
Intersection of Functions
Formulas
f(x) = a√x
g(x) = kx
Set f(x) = g(x) to find intersection
Theorems
Basic properties of square root functions
Linear equations and intersections
Suitable Grade Level
Grades 9-11
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