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- Draw a second line on the graph in order to demonstrate a system of equations with no solution . Record your equation .The number of new users y (in millions) for a certain website between August 2008 and May 2009 can be modeled by the equation y=ax2+bx+c, where x represents the age of the user. Using the ordered pair solutions (15,1), (35,8),and (55,5), create a system of linear equations in three variables for a, b, and c. Do this by substituting each ordered pair solution into the model, creating an equation in three variables. Solve the resulting system to find the coefficients of the model. Then use the model to predict the number of new users for the website who were 40 years old.What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 3x + 7? (–2, 1) and (5, –8) (–2, 1) and (–5, –8) (2, –3) and (–5, –8) (–2, –3) and (–5, –8)
- Suppose a nonhomogeneous system of six linear equations in eight unknowns has a solution, with two free variables. Is it possible to change some constants on the equations’ right sides to make the new system inconsistent? Explain.construct a system of linear equations that describes the traffic flow in the road network of the picture provided. All streets are one-way streets in the directions indicated. The units are vehicles per hour. Give two distinct possible flows of traffic. What is the minimum possible flow that can be expected along branch AB?Find every pssobile solution for this system of equations
- solve each system of equations using the methodof substitution or the method of elimination.If the system has no solution, say that it is inconsistentSuppose the solutions of a homogeneous system of five linear equations in six unknowns are all multiples of one nonzero solution. Will the system necessarily have a solution for every possible choice of constants on the right sides of the equations? Explain.Determine whether statement, "A system of two equations in two variables whose graphs are a parabola and a circle cannot have only one real ordered-pair solution", is true or false. If the statement is false, make the necessary change(s) to produce a true statement.