Provide an appropriate response.Explain why the solution of a system of equations is the point of intersection of the graphs of the equations.

What will be an ideal response?


Each point on the graph corresponds to an ordered pair that is a solution of the equation. The point of intersection of the graphs of two lines corresponds to an ordered pair that is a solution of both equations and, hence, a solution of a system of equations.

Mathematics

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Determine where the given function is concave up and where it is concave down. f(x) = -x3 + 6x + 2

A. Concave up on (-?, 2), concave down on (2, ?) B. Concave down on (-?, 0), concave up on (0, ?) C. Concave down on (-?, 2), concave up on (2, ?) D. Concave up on (-?, 0), concave down on (0, ?)

Mathematics

Use the graph to solve the problem.The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 4 cm.

A. 48 cm2 B. 72 cm2 C. 12 cm2 D. 0 cm2

Mathematics

Subtract and simplify. - 

A.
B.
C.
D.

Mathematics

For the given angle of rotation and coordinates of a point in the xy-coordinate system, find the coordinates of the point in the x'y'-coordinate system.? = 45°, (-7, 7)

A. (7, 0) B. (14, 0) C. (0, 7) D. (0, 14)

Mathematics