P. 143 You are a civil engineer who has been hired to oversee a large interstate-highway construction project connecting Pittsburgh with Cincinnati. Construction.

Slides:

Advertisements

Similar presentations

EXAMPLE 3 Solve a multi-step problem Biology

Advertisements

A posteriori Error Estimate - Adaptive method Consider the boundary value problem Weak form Discrete Equation Error bounds ( priori error )

Given Connections Solution

6.1 – Graphing Systems of Equations

Biology Solve a multi-step problem EXAMPLE 3 Graph the equation. Describe what the slope and y -intercept represent in this situation. Use the graph to.

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

A solution of a system of two equations in two variables is an ordered pair of numbers that makes both equations true. A solution to two equations (1,

Monday, March 23 Today's Objectives

The Transcontinental Railroad The Idea The Construction The People Involved.

SOLUTION EXAMPLE 4 Graph an equation in two variables Graph the equation y = – 2x – 1. STEP 1 Construct a table of values. x–2–1 012 y31 –3–5.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Civil Engineering What is it?.

Offsite Detour analysis. Calculation of detour length Distance along SR = Distance along SR

Slope-Intercept Form of an Equation Notes Over 5.1 Write an equation of the line in slope-intercept form. m is the slope and b is the y-intercept 1. The.

Lesson 3-5: Solving Equations with the Variable on Each Side.

Chapter 3 Review Game Puffer fish Basketball!!!!

Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.

3.6 Solving Absolute Value Equations and Inequalities

Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing.

Solving Open Sentences Involving Absolute Value

Warm Up Write a compound inequality for each graph. Remember include “AND” “OR” in your answer

Math 9 Lesson #23 – Absolute Value Equations and Inequalities Mrs. Goodman.

11-2 Solving Quadratic Equations By Graphing

1 Beginning & Intermediate Algebra – Math 103 Math, Statistics & Physics.

Accident Investigation

Graphs of Linear Equations. 1)Copy and complete the ordered pairs using the equation y = 3x + 2 (-4, -10) (-2, ? ) (0, ? ) (2, ? ) (4, ? ) 2) Graph each.

Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:

8.3: Circles Write equations of circles Graph circles.

Ms. Battaglia AP Calculus. Estimate y(4) with a step size h=1, where y(x) is the solution to the initial value problem: y’ – y = 0 ; y(0) = 1.

Conics Lesson 3: Ellipses Mrs. Parziale. Ellipses Equation for Ellipse: Center = (h, k) a = how far to count out horizontally 2a = length of horizontal.

Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.

WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2)

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

Solving Systems of Linear Equations by Graphing Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes.

Check it out! : Constructing Functions from Graphs and Tables.

2( ) 8x + 14y = 4 -12x – 14y = x = x = 4 8x + 14y = 4 8(4) + 14y = y = y = -28 ___ ___ y = -2 The solution is (4, -2)

Lesson 6-7 Scatter Plots and Lines of Best Fit. Scatter Plots A scatter plot is a graph that relates two different sets of data by plotting the data as.

Circles in the Coordinate Plane

Do-Now Evaluate the expression when x = –3. –5 ANSWER 1. 3x

3.3 – Solving Systems of Inequalities by Graphing

10.8 Systems of Second-Degree Equations and Inequalities

Lesson 37: Absolute Value, pt 2 Equations

Focus on Expressions and Equations

Lesson 2.4 Using Linear Models.

Graphing Square Root Functions

Inequalities and Their Graphs

Section Euler’s Method

Lesson 7-4 part 3 Solving Systems by Elimination

l l l l l l l l l l l 18.

Equation Review Given in class 10/4/13.

Check it out! Creating Exponential Equations

Unit 7, Lesson 1 Trigonometry / Pre-Calculus

2nd 9 Weeks MidPoint Review

WARM UP 3 EVALUATING RADICAL EXPRESSIONS Evaluate the radical expression when a = -1 and b = 5. (LESSON 9.1). b 2 − 11a b 2 +9a a 2 +8.

Linearization and Newton’s Method

5.1 Solving Systems of Equations by Graphing

Equations Objectives for today’s lesson :

Systems of Equations Solve by Graphing.

Choose the differential equation corresponding to this direction field

Choose the equation which solution is graphed and satisfies the initial condition y ( 0 ) = 8. {applet} {image}

Equation Review.

2.2: Graphing a linear equation

Objective: Students will solve systems by graphing

Where do these graphs intersect

Linear and Nonlinear Systems of Equations

Linear and Nonlinear Systems of Equations

Equations & Graphing Algebra 1, Unit 3, Lesson 5.

Presentation transcript:

p. 143 You are a civil engineer who has been hired to oversee a large interstate-highway construction project connecting Pittsburgh with Cincinnati. Construction began several months ago, and approximately 87 miles of highway have been completed. The total length of this highway will be 267 miles. At present, you estimate that new construction can proceed at the rate of one-fifth of a mile per day. A.Write an equation that represents the number of completed miles in terms of the number of days.

p. 143

In this lesson, I will:  Write and use a two-step equation.  Use a graph to estimate solutions to equations.

 Estimate