Algebra Math Problem Example | Topics and Well Written Essays - 1500 words

Algebra - Math Problem ExampleSolution Let x = the measuring stick of Arabica(M) (in kg) and y = quantity of Robusta(H) (in kg) Based on the given information, equations may be set up as 10.50(x) + 9.25(y) = (9.74)(2500) ---? equation (1) x + y = 2500 ---? equation (2) Graphing each equation on the same xy-plane By applying refilling method (equation (2) into equation (1)) 10.50(x) + 9.25*(2500 x) = (9.74)(2500) 10.50(x) + 23125 - 9.25(x) = 24350 1.25(x) = 1225 Then dividing each side by 0.8, x = 980 kgs Arabica(M) And 980 + y = 2500 ---? y = 1520 kgs Robusta(H) Thus, the run of intersection is at (980, 1520) and this pertains to the quantities each of the Arabica(M) and the Robusta(H) that must be present in the bean-mixture so that Matthew is able to indulge the condition of selling a total of 2500-kg mixture where each kilogram is sold for $9.74. Summary of study Besides its flexible range of applications, I have learned that there can be alternate(a) methods in solving a s ystem of equations once each equation has been properly set up with correct algebraic expressions in which variables are made to represent unknown amounts of objects either count or non-count by nature. I appreciate the fact that in Algebra, one is able to verify the make upence of a solution by using methods of elimination and substitution wherein one method can be a means to countercheck the other which ought to show the same results. It is quite interesting that equations may be graphed to rig whether real solutions exist as via intersection of lines. Having become acquainted with different function types such as one-dimensional, polynomial, rational, logarithmic, and exponential, I gain knowledge of constructing relations among dependent and independent variables as well as arbitrary constants based on useful empirical data. Summary of Topic In the model mixture problem, business community like Matthew can set constraints in terms of cost, quantity of material or commodity to a lower place consideration, selling price, and additional concerns that may possibly be incorporated in formulating labels and pertinent equations. Normally, problems of such figure possess linear relationships of variables for which the number of solutions rely on the highest degree of independent variable by which to nominate the number of intersection points between the set of equations involved. Alternative Project In its existence and approach, Algebra serves as a base device to higher math such as Calculus which attempts to explore the grounds for the shadowy nature of a function and designates a sensible understanding about up to which extent it would exist considering assumptions or applicable conditions. Fundamentals of algebra are essential to the foundation of courses designed to solve multivariable systems through linear programming, matrix applications, and differential equations where there is ceaseless necessity for equations and functions in interpreting prob lem situations. They are particularly of ample advantage as tools for working chemists and biochemists who deal with cases of radioactive decomposition or rates of reactions for instance. Hence, chemical studies under such field may include the use of exponential function A = A0*e-kt where A stands for the element concentration or amount at any time t