Point-Slope Form of the Equation of a Line 9 Section 2.3 Linear Functions and Slopes Write the point-slope form of the equation of the line with slope of 3 that passes through (-1‚2). Substitute into the point-slope form; y-y1 m( x x1 ) y 2 3( x 1) y 2 3( x 1) 10 Section 2.3 Linear Functions and Slopes Solving in Both Forms A. Write the equation in point slope form of the line with slope 4 that passes through the point (4‚-3). B. Then solve the equation for y. x1 y1 y-y1 = m(x-x1)
Premium Linear equation Line Elementary algebra
Design of a Polystyrene Plant for Differing Single-Pass Conversions November 25‚ 2013 Introduction Polystyrene is one of the most widely used plastics‚ with applications ranging from food packaging to appliances to manufacturing (Maier). On an industrial scale‚ polystyrene is derived from its monomer‚ styrene. This is achieved by free-radical polymerization of a solution of monomer‚ polymer‚ and initiator. This reaction is a multistep radical reaction that
Premium Polystyrene Mass flow rate Maxwell's equations
bx + c is a Quadratic Equation (let y = 0 to find the roots and ZEROS) The roots of the quadratic equation ax2 + bx + c = 0 are ‚ where the radicand‚ is called the DISCRIMINANT‚ D. The value of the discriminant determines the number and nature the roots of a quadratic equation (that is‚ real/not‚ equal/distinct) and the number of x-intercepts. Investigation Complete the table below and observe the value of the discriminant‚ D‚ in each case. Quadratic Equation Function in Factored
Free Quadratic equation Real number
one-dimensional‚ one-phase flow equations As an introduction to reservoir simulation‚ we will review the simplest one-dimensional flow equations for horizontal flow of one fluid‚ and look at analytical and numerical solutions of pressure as function of position and time. These equations are derived using the continuity equation‚ Darcy’s equation‚ and compressibility definitions for rock and fluid‚ assuming constant permeability and viscosity. They are the simplest equations we can have‚ which involve
Premium Derivative Numerical analysis Time
polynomial equations If [pic] and [pic] are the roots of quadratic equation [pic]‚ then [pic] [pic] If [pic]‚ [pic] and [pic] are the roots of cubic equation [pic]‚ then [pic] [pic] [pic] If [pic]‚ [pic]‚ [pic] and [pic] are the roots of quartic equation [pic]‚ then [pic] [pic] [pic] [pic] • Finding equations with related roots Q: The roots of the cubic equation [pic] are [pic]‚ [pic] and [pic] where [pic]. Find the cubic equation with roots
Premium Quadratic equation Polynomial Real number
prepares students to take the International Baccalaureate Mathematics exam at the Standard level. | |Topics include operations and properties of number sets; trigonometric functions‚ equations‚ and graphs; algebra and coordinate geometry; | |simultaneous linear equations; polynomial and quadratic functions and equations; calculus‚ including bilinear‚ exponential and logarithmic | |functions; two dimensional vectors and matrices; and probability.
Premium Quadratic equation Real number Polynomial
17. In a sample of solid Al(NO3)3‚ the ratio of aluminum ions to nitrate ions is (1) 1:1 (2) 1:2 (3) 1:3 (4) 1:6 19. What is the total number of atoms in (NH4)2SO4? (1) 10 (2) 11 (3) 14 (4) 15 22. Write the correct formula for the following binary ionic compounds. (a) Lithium fluoride LiF (b) Calcium oxide CaO (c) Aluminum nitride AlN (d) Beryllium chloride BeCl2 (e) Potassium iodide KI (f) Aluminum oxide Al2O3 23. Write the correct formula for the following binary molecular
Free Oxygen Oxide Aluminium
B = 0 The equation of the parabola is y = 1/9 x^2 Y = 1/9 (3)^2 Y = 1/9(9) = 1 The point which is 3 feet horizontally from the vertex is 1 foot high. 2. -3a - b = 6 let this be equation 4 Using equation 2 and equation 3 to eliminate c 4a + 2b + c = 18 -9a - 3b + c = - 2 -5a - b = 16 let this be equation 5 Solving for a and b using equation 4 and equation 5 -3a –b = 6 +5a
Premium Quadratic equation Polynomial Elementary algebra
François Viète (Latin: Franciscus Vieta; 1540 – 23 February 1603)‚ Seigneur de la Bigotière‚ was a French mathematician whose work on new algebra was an important step towards modern algebra‚ due to its innovative use of letters as parameters in equations. He was a lawyer by trade‚ and served as a privy councillor to both Henry III and Henry IV. Contribution to Mathematics in Detai: His first published work‚ the Canon mathematicus [Canon‚ 1579] has trigonometric tables computed to 9 decimal places
Premium Polynomial Quadratic equation Elementary algebra
________________________ EMAIL ADDRESS: _________ _______ PHONE: ______________________________ 1. COURSE DESCRIPTION: The essentials of college algebra. Topics include polynomials‚ first degree equations‚ word problems‚ graphing‚ and systems of linear equation‚ factoring‚ exponents‚ quadratic equations‚ matrices‚ and radicals. 2. COURSE OBJECTIVES: Upon completing this course students should have an in depth understanding of data analysis‚ graphing data‚ stating a problem in mathematical format
Premium Quadratic equation Elementary algebra Prime number