Rational Inequalities – Day 2 4 + 3x > 1 x - 2x + 2 5x < x + 2 x – 3 x + 1.

Slides:

Advertisements

Similar presentations

Cost, revenue, profit Marginals for linear functions Break Even points Supply and Demand Equilibrium Applications with Linear Functions.

Advertisements

LIAL HORNSBY SCHNEIDER

Sec 2.5 – Max/Min Problems – Business and Economics Applications

Copyright © 2013 Pearson Education, Inc. Section 2.5 Linear Inequalities.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 4.4 Quadratic Models; Building Quadratic Functions From Data.

2.4 Solving Quadratic Equations. A quadratic equation is of the form ax 2 + bx + c = 0 There are several ways to solve a quadratic 1. Factoring 2. Completing.

Quadratic Graphs – Day 2 Warm-Up:

Section 8-7 Solving Rational Inequalities

Quadratic Functions and Their Properties

Chapter 3 Polynomial and Rational Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Polynomial and Rational Inequalities.

Chapter 1.7 Inequalities. An inequality says that one expression is greater than, or greater than or equal to, or less than, or less than or equal to,

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 1 Equations and Inequalities Copyright © 2013, 2009, 2005 Pearson Education, Inc.

SECTION 3.4 POLYNOMIAL AND RATIONAL INEQUALITIES POLYNOMIAL AND RATIONAL INEQUALITIES.

+ Properties of Parabolas § Objectives Graph quadratic functions. Find the maximum and minimum value of quadratic functions. By the end of today,

1.8 OTHER TYPES OF INEQUALITIES Copyright © Cengage Learning. All rights reserved.

Copyright © Cengage Learning. All rights reserved. 2 Polynomial and Rational Functions.

JP is standing on a bridge that’s 12 feet above the ground. He throws a ball up in the air with an initial velocity of 25 ft/s. -When will the ball be.

CP Math Word Problems involving inequalities. Quiz 6-4 Graph the system of inequalities: 1 2. What is a “solution” to a system of inequalities?

MARKUP. The difference in the amount that a store charges compared to what the store paid How much a store raises the price to make a profit. Markup =

Chapter 4 Quadratic Functions and Various Nonlinear Topics Section 4.3.

Lesson 2.1.2: Interpreting Various Forms of Quadratic Functions Pages in Text Any Relevant Graphics or Videos.

Solving equation = finding value(s) for the unknown that make the equation true Add, subtract, multiply, divide, raise to powers, take roots, find least.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

GRAPH THE FOLLOWING FUNCTION (WITHOUT A CALCULATOR). 1) y = 3 x 2 – 2 x – 1 1) Find the vertex. y = 3( 1 / 3 ) 2 – 2( 1 / 3 ) – 1 y = - 4 / 3 V = ( 1.

Powerpoint Jeopardy Quadratic & Polynomial Functions & Models Rational Functions & Models Polynomial & Rational Inequalities Real Zeros of a Polynomial.

Chapter 5 Test Review. GIVEN: Name the vertex: Explain how you know: Name the axis of symmetry: Name the y-intercept: Graph the equation.

Lesson 10-2 Solving Quadratic Equations by Graphing.

4.5 “Square Roots”. More Examples Rationalizing the Denominator.

Unit 2: Quadratic Functions

The Sweet Spot D’Vine Fitzgerald B&D Block. The Sweet Spot Our product name is The Sweet Spot. We will be selling a variety of sweets. From homemade brownies.

240,000 20p + a SATMathVideos.Net A) 550 books B) 600 books C) 650 books D) 700 books 1,000 books sold in a month when the price was $10 per book. An equation.

Accounting Jeopardy Glencoe Accounting Chapters 2-3 By Carl Lyman © December 2001.

Polynomial Inequalities Rational Inequalities Systems of Inequalities Describing Graphs Absolute.

Aim : How do we solve systems of equations graphically? Do Now: Graph both equations on the calculator y = x 2 – 3 y = x – 3 HW: p.236 # 4,6,8,10,12,14,60.

3.10 Business and Economic Applications.

Quadratic Inequalities First day: Review inequalities on number lines. Review inequalities of linear equations Review inequalities of systems of linear.

Homework Questions.

Copyright © Cengage Learning. All rights reserved.

Copyright © Cengage Learning. All rights reserved.

Nonlinear Inequalities

Solving Equations by Factoring

Other Equations Ex. Solve 3x 4 = 48x2.

Aim: How do we solve systems of equations graphically?

4.7 The Quadratic Formula Learning goals

Chapter 4: Quadratic Functions and Equations

Section 3.3 Quadratic Functions

Real-Life Scenarios 1. A rental car company charges a $35.00 fee plus an additional $0.15 per mile driven. A. Write a linear equation to model the cost.

Properties of Parabolas

Real World Questions with Parabolas

Homework Questions.

Solving Quadratic equations by graphing.

Unit 2.4 Fixed & Variable Expenses

Unit 5 Quadratic Functions.

Equation Review Given in class 10/4/13.

Solving Quadratic Inequalities (3.2.5)

Marketing MATH MONDAY

Quadratic Equations, Inequalities, and Functions

Review: 8.1a Mini-Quiz Graph the systems of equations. Then determine whether each system has no solution, one solution, or infinitely many solutions.

Build Quadratic Models from Verbal Descriptions and from Data

ALGEBRA II HONORS/GIFTED - SECTION 4-7 (The Quadratic Formula)

Unit 1 Representing Real Numbers

Quadratic Models; Building Quadratic Functions From Data

Unit 5 Quadratic Functions.

Equation Review.

Section 6 – Rational Equations

Solvig Inequalities.

The marketing department at Widgets Inc

Presentation transcript:

Rational Inequalities – Day x > 1 x - 2x + 2 5x < x + 2 x – 3 x + 1

Rational Inequalities – Applications The price function of a new product is: P = x What Would the Revenue Equation Be? The Cost Equation for this new product is: C = 10x + 2,500,000 What price should the company charge to make a profit of AT Least $190,000,000?

Rational Inequalities: A rocket is fired from ground level. Its height is given by the equation: H = -16t At what interval of time is the rocket higher than 384 feet?

Rational Inequalities: The revenue equation for a new product is: R = x( x) The cost equation for that same new product is: C = 30x + 250,000 How many units must be sold to obtain a profit of at least $750,000? Bonus: What is the price of the item?