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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Describe how you would apply the five basic steps of a statistical study to the given issue. You want to know the average volume of juice in your company's 500 mL bottles of orange juice.

What will be an ideal response?

Mathematics

Solve the problem.Write an equation for the tangent line to the curve    at the point  

A. 2x + 8y = 32 B. 2x + 8y = 16 C. 8x + 2y = 32 D. 8x + 2y = 16

Mathematics

Solve the problem.A pipette has the shape of a right circular cylinder with a right circular cone at its end. The pipette is used to inject a nutritive suspension into a colony of microbes. The volume, in cubic centimeters, of a pipette of height h and radius r, both in centimeters, is given by the polynomial . How much nutritive suspension can be provided if the pipette has a radius of 0.2 cm and a height of 3.1 cm? Use 3.14 for ? and round to the nearest tenth cubic centimeter.

A. 8 cm3 B. 0.3 cm3 C. 1.1 cm3 D. 0.5 cm3

Mathematics

Find the exact value under the given conditions.tan ? = , ? < ? < ; cos ? = - ,   < ? < ?Find sin (? + ?).

A.
B.
C.
D. - 

Mathematics