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- Find a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1=t and x2=3t4, where t is any real number. Then show that the solutions to the system can also be written as x1=43+t3 and x2=t.provide complete solution showing the W1, W2, U'1, U'2, U1, U2, y(x)Chose the correct option: A pair of linear equation in two variables which has a common point i.e., which hasonly one solution is called a(a) Consistent pair(b) Inconsistent pair(c) Dependent pair(d) None of these
- use the method of elimination to find the general solution for x(t) then y(t). Need only handwritten solution only (not typed one).An employee has two options for positions in a large corporation. One position pays $12.20 per hour plus an additional unit rate of $0.80 per unit produced. The other pays $10.40 per hour plus a unit rate of $1.10. (a) Find linear equations for the hourly wages W in terms of x, the number of units produced per hour, for each option. option 1 W1 = option 2 W2 = (b) Use a graphing utility to graph the linear equations and find the point of intersection.(x, y) = ( )Particular solution of y” – 4y’ + 8y = x^3, when x = 0, y = 2, y’ = 4
- A women who has recently inherited $200,000 decides to invest her inheritance in stocks. She is considering eight stocks, the price of which are given in the following table. Stock 1 2 3 4 5 6 7 8 Price Per Share $25 $50 $42.50 $35 $80 $17.50 $120 $100 Determine the equation whose solution set contains all possible combination of the eight stocks which can be purchased for $200,000. Determine the equation of straight line which is perpendicular to the line 3x-2y=-28 and which passes through the point (-5 , 20).4. An offshore oil well located at a point W that is 5 km from the closest point A on a straight shoreline. Oil is to be piped from W to a shore point B that is 8 km from A by piping it on a straight line underwater from W to some shore point P between A and B and then on to B via pipe along the shoreline. If the cost of laying pipe is P10,000,000/km underwater and P5,000,000/km over land, where should the point P be located to minimize the cost of laying the pipe?Show what is the u and du and the explanation of manipulation of solution.
- there are two other questions I couldn't attach. 2. The system containing the lines select a value b&C has no solution; a&d has no solution; a&c has no solution 3. The point (-6,-1) is the solution to the systemc containing the lines a&c; c&d; b&dIf a straight lines represent a pair of linear equation with to variable are intersecting than the number of solution is A.infinite B.unique C.zero D.none of thisFigure shows a network of water pipes with flows measured in liters per minute. (a) Set up and solve a system of linear equations to find the possible flows. (b) If the flow through AB is restricted to 5 L/min, what will the flows through the other two branches be? (c) What are the minimum and maximum possible flows through each branch? ( d) We have been assuming that flow is always positive. What would negative flow mean, assuming we allowed it? Give an illustration for this example.
