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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Find the indicated term of the sequence.The twenty-fourth term of the arithmetic sequence 30, 25, 20, ...

A. -115 B. 145 C. -85 D. -90

Mathematics

Use I = Prt for simple interest to find the indicated quantity.P = $3000; t = 90 days; I = $105. Find r. (Use 360 days in a year.)

A. 3.5% B. 14.0% C. 9.7% D. 14.2%

Mathematics

Find the requested area.Aunt Bea has won 3 blue ribbons and 3 red ribbons for her apple pies at the State Fair. She wants to display them in a single row across a display case which is 35 inches wide. She wants to have  inch between the ribbons, and center the display in the case. Each blue ribbon is  inches wide and each red ribbon is  inches wide. How wide will the border on each side be?

A. 9 in.
B. 9 in.
C. 9 in.
D. 9 in.

Mathematics

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.logb  x + logb  y

A. logb  xy B. logb  (x + y) C. log2b  (x + y) D. log2b  xy

Mathematics