Graphing with the Slope-Intercept Form SOLUTION
... amount and the slope often represents a rate of change. You are buying an $1100 computer on layaway. You make a $250 deposit and then make weekly payments according to the equation a = 850 – 50 t where a is the amount you owe and t is the number of weeks. What is the original amount you owe on layaw ...
... amount and the slope often represents a rate of change. You are buying an $1100 computer on layaway. You make a $250 deposit and then make weekly payments according to the equation a = 850 – 50 t where a is the amount you owe and t is the number of weeks. What is the original amount you owe on layaw ...
9 . 2 Solving Linear Systems by Substitution
... A company breaks even from the production and sale of a product if the total revenue equals the total cost. Suppose an electronics company is considering producing two types of smartphones. To produce smartphone A, the initial cost is $20,000 and each phone costs $150 to produce. The company will se ...
... A company breaks even from the production and sale of a product if the total revenue equals the total cost. Suppose an electronics company is considering producing two types of smartphones. To produce smartphone A, the initial cost is $20,000 and each phone costs $150 to produce. The company will se ...
A Geometric of Numerical Solution of Nonlinear Equations and Error
... method with a system of transcendental equations which appears in making a map of Japan by a simple conic projection. In numerical solution of nonlinear equations, after finding an approximate solution in any way, it is also important to verify the existence of an exact solution and to know the erro ...
... method with a system of transcendental equations which appears in making a map of Japan by a simple conic projection. In numerical solution of nonlinear equations, after finding an approximate solution in any way, it is also important to verify the existence of an exact solution and to know the erro ...
Quadratics - Mathshelper
... When you have a quadratic equation you can happily divide both sides to get rid of common factors. For example here we can divide both sides by 5. This does not affect1 the solutions. 0 = 5x2 + 15x + 10 ...
... When you have a quadratic equation you can happily divide both sides to get rid of common factors. For example here we can divide both sides by 5. This does not affect1 the solutions. 0 = 5x2 + 15x + 10 ...
UNIQUE FACTORIZATION AND FERMAT`S LAST THEOREM
... (iii) Since p = a2 , the equation (2.2) gives an equation a2 = x04 +y 04 . Show that a < z, contradicting the minimality of z. The above method of choosing a minimal solution to an equation, then showing that there must exist a smaller solution, was invented by Fermat, and is known as infinite desce ...
... (iii) Since p = a2 , the equation (2.2) gives an equation a2 = x04 +y 04 . Show that a < z, contradicting the minimality of z. The above method of choosing a minimal solution to an equation, then showing that there must exist a smaller solution, was invented by Fermat, and is known as infinite desce ...
Equation
In mathematics, an equation is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions. An equation differs from an identity in that an equation is not necessarily true for all possible values of the variable.There are many types of equations, and they are found in all areas of mathematics; the techniques used to examine them differ according to their type.Algebra studies two main families of equations: polynomial equations and, among them, linear equations. Polynomial equations have the form P(X) = 0, where P is a polynomial. Linear equations have the form a(x) + b = 0, where a is a linear function and b is a vector. To solve them, one uses algorithmic or geometric techniques, coming from linear algebra or mathematical analysis. Changing the domain of a function can change the problem considerably. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.Geometry uses equations to describe geometric figures. The objective is now different, as equations are used to describe geometric properties. In this context, there are two large families of equations, Cartesian equations and parametric equations.Differential equations are equations involving one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model real-life processes in areas such as physics, chemistry, biology, and economics.The ""="" symbol was invented by Robert Recorde (1510–1558), who considered that nothing could be more equal than parallel straight lines with the same length.