that the equation for the numerator is a geometric sequence. So I try to find the equation of the sequence by using the quadratic formula‚ y = ax2 + bx + c‚ where y = the numerator and x = the row number. 6 = a(3)2 + b(3) +0 6 = 9a +3b 6 = 9a + 3(-2a + 1.5) 6 = 9a – 6a + 4.5 1.5 = 3a a = 0.5 b = -2(0.5) + 1.5 b = -1 + 1.5 b = 0.5 3 = a(2)2 + b(2) +0 3 = 4a +2b b = 3-4a2 b = -2a + 1.5 First I plugged in 2 for x and 3 for y (the second row) to find the quadratic equation for this
Premium Quadratic equation Number Hydrogen
class. Show your work. 1. Match the differential equation in (a)-(c) to a family of solutions in (d)-(f). The point of this exercise is not to solve the differential equations in a) - c). (a) y = y 2 (b) y = 1 + y 2 (c) yy = 3x (d) y = tan(x + C) (e) 3x2 − y 2 = C (f) y = −1/(x + C) 2. Find the value of k so that y = e3t + ke2t is a solution of y − 2y − 3y = 3e2t . 3. Solve the following differential equations and IVP’s. You may solve these equations implicitly. (a) y + 3x2 y = x2 (b) y ln t = y+1
Premium Trigraph Solution
John B. Watson is considered the founder of behaviorism. He suggested that psychology should be objective and focus on human behavior. Watson ’s views dominated the field of psychology during the first half of the twentieth century. His theories and behavioral techniques that many psychologists have built on are still used today. This so-called father of behaviorism was born in 1878‚ in South Carolina into a poor family. Although left fatherless at the young age of thirteen‚ Watson who had
Premium Psychology Behaviorism Behavior
The Father of Algebra In the source‚ Shawn Overbay writes a biography on The Father of Algebra‚ Al-Khwarizmi. Overbay shows and explains the equations that Al-Khwarizmi invented and how they were used. In the source‚ the author states “Al-Khwarizmi wrote numerous books that played important roles in arithmetic and algebra” (Overbay). Not only was The Father of Algebra a mathematician‚ he was also an inventor‚ an Astronomer‚ and a Scholar. The visual source is a page from Al-Khwarizmi’s Kitab
Premium Quadratic equation Elementary algebra Polynomial
A or A* in the following topics: 1. Surds 2. Recurring Decimals 3. Limits of Accuracy 4. Indices 5. Proportionality 6. Rearranging Formulae 7. Algebraic Fractions 8. Using Graphs 9. Quadratic Equations 10. Simultaneous Equations 11. Algebraic Proofs 12. Circle Theorems 13. Trigonometry – for triangles which are not right-angled 14. Vectors 15. Similar Triangles 16. Congruent Triangles 17. Scale Factors – for volumes & surface areas of
Premium Elementary algebra Quadratic equation
Week One Exercise Assignment Basic Accounting Equations 1. Recognition of normal balances The following items appeared in the accounting records of Triguero ’s‚ a retail music store that also sponsors concerts. Classify each of the items as an asset‚ liability; revenue; or expense from the company ’s viewpoint. Also indicate the normal account balance of each item. a. Amounts paid to a mall for rent. b. Amounts to be paid in 10 days to suppliers. c. A new fax machine purchased for
Premium Accounts receivable Balance sheet Liability
would increase the value of the business. Next we had to but the land for $150‚000. This was a debit and credit line item under assets because we used cash and credit $100‚000 under liability because we now owe a debt. After fully balancing the equation‚ we had $200‚ 00 in assets (what we invested) and $100‚000 in liabilities and shareholder’s equity. Chapter 1 Accounting in Action: E 1-5 pg. 34 Instructions: For each of the three situations‚ say if the accounting method used is correct
Premium Balance sheet Accounts receivable Generally Accepted Accounting Principles
(2-2i)(9+i) (-7+5i) - (6-8i) (3+i)^2 2) Solve the following equation by factoring x^2 - 6x = 0 3) A bank loaned $17‚000‚ part of it at the rate of 8% per year and the rest at 18% per year. If the interest received in one year totaled at $2‚000‚ how much was loaned at 8%? 4) Find the real solutions of the equation √2x-7 = 0 5) Solve the inequality 5 < 7 - ½x < 9 6) Decide whether the following equations are parallel‚ perpendicular‚ or neither. y= 4x+6 y= -¼x + ¼
Premium Line Elementary algebra Linear equation
Immanuel Kant’s moral theory can be best explained by comparing it to a math equation. Kant’s moral system will always hold true no matter what the circumstance just like how two plus two will always equal four. According to Kant‚ our lives should be lived according to maxims that can be willed into universal law (Kant‚ Fundamental Principles of the Metaphysic of Morals‚ p 303). However the action regarding a moral decision is not judged by the consequences of that action‚ rather by the motive
Premium Immanuel Kant Philosophy Morality
simple as a line or as complex as a B-spline. In general‚ curves can be classified as follows: • Analytical Curves: This type of curve can be represented by a simple mathematical equation‚ such as‚ a circle or an ellipse. They have a fixed form and cannot be modified to achieve a shape that violates the mathematical equations. • Interpolated curves: An interpolated curve is drawn by interpolating the given data points and
Premium Curve Interpolation Elementary algebra