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Graphs and Functions

Your group will develop four different population scenarios for a town.

MTH133 Unit 4 Group Project - A Name: Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population. 1) 1) De

Linear equations

Problems: Problem: 8/3.1 Y=2x+5 (8,y ), (-1,y), (x, -1) Problem 70/3.1 Graph each equation. plot at least five points for each equation. use graph paper of a graphing calculator or excel x-2y=6 x=6+2y Problem 42/3.2 Graphing a line for given slope and a point The line through (-2,3) with slope -2 Problem

Polar coordiates

Polar coordiates - Find all points of intersection of the given curves. r=sin(theta) r=sin(2theta)

Mathematics - Line Graph


XYZ Advertising: Linear Regression Problem

Great news! XYZ Advertising has called you in for an interview to join its advertising team. During the interview process, you are expected to solve a linear regression problem. Consider the following data in the table below that show the cost for a Super Bowl ad from the years 1990-2006 and the average number of homes and viewe

Constructing a Non-Linear Profit Graph

The J.P. Atkins Company will soon be introducing a new product. Estimates have been made of the monthly profit that would be generated by this product for each of four alternative values of the monthly production rate, as shown below. Production Rate Profit 200 9,500 500 22,500 800 34

Writing a Equation of a Line from a Word Problem

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 500 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to

15 Problems : Graphs of Quadratic Functions - Maximum, Minimum and Vertex

Please see the attached file for the fully formatted problems. 1. Find and label the vertex and the line of symmetry. The vertex is _______ (type an ordered pair) The equation of the line of symmetry is x= _________ 3. Write a quadratic equation having the given number as solutions. -4 and -1 The quadratic equati

Slope and Lines through Points

Find the slope (-2,3) and (0,-4) the line through (-2,5) with slope -1 Draw l 1 through (-4,0) and (0,6) What is the slope of any line parallel to l 1? Draw l 2 through the origin and parallel to l 1? Write an equation for each line. (2,3) (-1,1) Find the slope and y intercept x+2y=3 Graph each line using it y int

11 Graphing Problems : Slope, Intercept and Application Word Problems

1.) Use the intercepts to graph the equation. X + 3y = 6 2.) Graph the line containing the given pair of points and find the slope. (2, 1) (-5, -3) Find the slope of the line. M=____. (simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.) 3.) Solve the system of equations by graphing. The

Graph and Quadratic equations

Please assist with the attached document. 1. Find and label the vertex and the line of symmetry. Graph the function F(x) = The vertex is Type an ordered pair 2. Find and label the vertex and the line of symmetry. Graph the function. F(x) = The vertex is Type an ordered pair 3. Find and label the vertex and the

Catenary Equation of a hose.

Hi, Given are the elevations of a hose connected to a building on one side and to a ship on the other. The below attached sketch shows the POC-Points of Connection as 19.09 ft on building and 49.9 ft on the ship. The distance from the building to the mid-span of hose is r2= 5 ft and r1 from ship is r1=6.5 ft. The hose is not

Graphs, Equation of Line, Midpoints and Line Segments

Please see the attached file for the fully formatted problems. 1.) Find the distance between the points (4,-1) and (-5,3) 2.) Find the midpoint of the line segment with endpoints (5,-2) and (-3,12) 3.) Graph the equation 4.) 5.) Find the equation of the line with slope 0 and y-intercept (0,-2). Write your answer in t

Functions and Graphs : Sketching, Domain, Range and Asymptotes

Please see the attached file for the fully formatted problems. 1. The length of a rectangular field is 3 times its width. If fencing costs $12 per metre, express the cost, C, of fencing the field as a function of the width, w. 2. Draw a set of axes and then plot the graph of the function f(x) = 2x ?4, for ?3<x<5. 3. (i)

Exponential and Logarithmic Functions

1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case. 2. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?

Linear equations and inequalities..

Background: You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company. The functions that describe how the company can break even will be represented with linear equations. Linear inequalities will be used to graph conditions where the

Solving and Graphing Equations

See attached 1. a. Solve b. Find the x-intercepts of 2. Determine the nature of the solutions of the equation 3. Find and label the vertex and the line of symmetry. Graph the function 4. The width of a rectangle is 3 ft less than the length. The area is 4 ft . Find the length and the width. 5. For the scatter

evaluate process functions

Difficulty understanding the process with functions (see attached) 5) Given the function f describe by f(x)=x+10. Find each of the following: f(0)= 7) Find the indicated outputs for f(x)=5x^2 -3x, f(0)= 8) The function H described by H(x)=2.75x+71.48 can be used to predict the height in centimeters of a women whose hume

Please see attached problems on domain, range, equations, and asymptotes

1. Write an equation that expresses the relationship. Use k as the constant of variation. d varies directly as the square of y. 2. Find the horizontal asymptote, if any, of the graph of the rational function. f(x) = 8x / (2x^2 + 1) 3. Find the domain of the rational function: g(x) = 6x / [(x-1)(x+7)] 4. Find the vertica


Find the range for the group of data items 29, 32, 32, 38 The range is ___?

Exponential function

In the formula A=I e^(kt), A is the amount of material remaining from an initial amount I at a given time t and k is negative constant determined by the nature of the material. If it has 53% of the carbon it originally contained, what is the approximate age of the artifact? (carbon decays @ a rate of 0.0125% annually.) Round

Finding time periods

Need help in solving this... The population of a city during a certain time period can be approximated by: P(x)-0.1x^5+3.2x^4+500 where x is the time in years since 1960. Need to find P(13).

Solving and graphing inequality

1. determine whether the given numbers are solutions of the inequality. 7, -13, -17, -1 y-10>2y-4 is 7 a solution? 2. write the set (xlx_>1) in interval notation 3. write interval notation for the set (xl-1>x>-3) 4. write interval notation for the given graph ( strai

Lines, graphing, and break-even point

1. Find the slope of the line 3x - y = 5. 2. Find the point of intersection of the lines 2x + y = 4 and 3x - y = 1. Graph the pair of lines. 3. A manufacturer produces items at a daily cost of $1.50 per item and sells them for $2.50 per item. The daily operational overhead is $500. What is the break-even point?

linear relationship and slope of two points

1. Instructions for 1a-1e Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: Example of how to show your work: C(g)=3.03(g) C(6) = 3.03(6) C(6)=18.18 What does the number 3.03 represent? Find C(2)

Systems of equations

See attachment for proper formatting. Math Here are some more problems I would like help with. 1. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent or independent. 6x-6y= -12 6y-6x= 12 What is the solution of the system of equations? a) A point b)