Question Three Consider the linear equation systems as below: = - Y1 x1 x2 + X3 y2 = 3x1 + x2 - 4x3 = y3 -2x12x2 + 3x3 Уз - Z₁ = 4y1 y2 + Y3 Z1 = Z2-3y1+5y2 - y3 Express the linear equation systems as the matrix forms: Y = AX and Z = BY, and then derive a direct relationship Z = CX between Z and X.
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- Suppose that in the country of Sudland, when the yearly rate of economic growth fell from 3.0% to 1.5%, the yearly rate of increase in airborne pollutants fell from 6% to 5%. What is the average slope of a nonlinear curve between these points using the arc method? The average slope isstate the limitations of using a cubic function with inflection point to model the side of a hill. What assumptions have been made that may affect the reasonableness of your solutions?Consider the function Y5X03203, where X and Z are both greater than or equal to zero. Complete the following table by calculating the value of Y for each set of values for X and Z. X 16 18 1 8 20 16 14 N 10 6 Use the blue curve (circle symbols) to graph the values from the previous table that correspond to the contour line when Y=20. Use the green curve (triangle symbols) to graph the values from the previous table that correspond to the contour line when ya 30. Finally, use the purple curve (diamond symbols) to graph the values from the previous table that correspond to the contour line when y=40. 5 4 2 z 16 6 D 4 1 1 16 8 18 Y 0 0 10 X 12 14 10 10 20 Contour Line Y 20 N Contour Line Y 30 B Contour Line Y 40
- System of Equations: p=6−2q p=2+q Plot both equations on a graph. The values of pp and qq that solve these two equations simultaneously can be seen on the graph as A. the inverse of the slopes of the two lines B. the slopes of the two lines C. the coordinates at which the two lines intersect D. the value of the intercepts of the two linesA store owner specializes in connoisseur coffee blends and wants to make 1 kilogram bags that will sell for $ 120 using Colombian, Brazilian and Kenyan coffees. The cost per kilogram of these three types of coffee is $ 140, $ 70, $ 100, respectively. x=Colombian y=Brazilian z=Kenyan Find: The solution of the system of linear equations:Solve the following system
- The following graph contains four lines (A, B, C and D), each of which has a slope that is either positive, negative, zero, or infinite. Y-axis с B X A D X-axis ?C. Suppose your neighbor is a physics major who also races motorcycles, and she tells you that horsepower can be expressed in terms of the following equation: H = MDA/S where M=mass, D-distance, A=acceleration and S and H are as defined above. Based on this conversation with your neighbor, you decide to change the functional form of the relationship to include 1/H rather than H as an explanatory variable because that's the appropriate theoretical relationship between the two variables. Estimate the above equation, substituting 1/H for H. Which of the two models do you prefer and why?The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) - (D). (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. X 270 360 520 780 The fixed costs are $. (Round to the nearest dollar as needed.) ITTI y = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The variable costs are $ per projector. (Round to the nearest dollar as needed.) (C) Find the break even points. The break even points are (Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as…
- Given the functional relationship: y = 14x5/x2 find the value of y when x = 1.5I am trying to answer number 5 with the table provided. I was provided in my lesson with the equation MU1/P1=MU2/P2 but I am having trouble trying to figure out what Numbers to plug into the equation from the table.Marketing surveys conducted by the sales manager for a company determined that 3,000 power drills could be sold for $60 each, but 4,000 drills could be sold for $50 each. (a) If the two data points were plotted on a coordinate system with the number of drills sold on the horizontal axis and the price of each drill on the vertical axis, what is the slope of the line between the two points? (b) Write a sentence that explains the result in part (a) in the context of this problem. For every additional drill sold, the price per drill (in cents) decreases by cent(s). (c) Assuming the trend in part (a) continues, how many drills can be sold for $56? drills