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Graphs and Functions

Assessing Slopes and Intercepts

3.1-72 Graph the line defined by the equation . Find the y values for the following values of x: When x = -7: -7 + 4y = 5 4y = 12 y = 3 When x = -3: -3 + 4y = 5 4y = 8 y = 2 When x = 1: 1 + 4y = 5 4y = 4 y = 1 When x = 5: 5 + 4y = 5 4y = 0 y = 0 When x = 9: 9 + 4y = 5 4y = -4 y = -1 x y -

properties of the Stone-Weierstrass Theorem

Let be a compact interval and let A be a collection of continuous functions on which satisfy the properties of the Stone-Weierstrass Theorem [Stone-Weierstrass Theorem: Let K be a compact subset of and let A be a collection of continuous functions on K to R with the properties: a) The constant function belongs to A. b) I

The slopes of a line

1)Find an equation of the line, say y=mx+b, which passes through the point (â?'7,â?'5) and is perpendicular to the line 4x+4y=â?'16 y=_________ 2) What is the shortest distance from the point (â?'7,â?'5) to the line 4x+4y=â?'16?

reflection of the graph

Looking for step-by-step solutions on how to solve for the different algebra problems. Please show all work on a word document or excel sheet. 7. Which point on the graph makes this relation not a function? 8. Given find the value of 9. 10. Find the domain and range of the function.

Prove that the delta(S) must contain an odd number of edges

Let G=(V,E) be a 3-regular graph (i.e. one in which all nodes have degree 3), and let S SUBSET V be any subset of the nodes such that |S| is odd. Prove that the cut delta(S) must contain an odd number of edges. Please refer to attachment for proper formatting.

Use the intercepts to graph the equation.

Please help with these problems: Please show the steps. 1. Use the intercepts to graph the equation and also show graph x+5y=10 2. Graph the system of equalities and also show graph yâ?¥-4 xâ?¥6 3. Solve the system of equations. What is the solution? (type ordered pair) X + 3y=3 (1) X = 5 -3y (2) 4. Solve

Slope of the Line: Equations

1. Find the slope of the line that passes through the given pair of points: a) (4,5) and (3,8) b) (2, 2) and (4, 4) 2. Find an equation of line that passes through the point (2, 4) and has slope m = 1. 3. Find an equation of line that passes through the two given points: (2, 1) and (3, 5). 4. Write the equation in s

Intersecting and perpendicular lines

In your own words, explain the difference between intersecting and perpendicular lines. Can two lines exist that are not intersecting or parallel? Explain your answer. Next, I want you to find an example of intersecting, perpendicular, and parallel lines from the "real world". You will explain each of the three examples and

Properties of Functions

Explanation is on file attatched. 1. A student was given the function f(x) = x2 and asked to write the result of translating this function 1 unit to the left. The student wrote the following: g(x) = (x+1)2. Is this statement correct? Explain 2. The length of time that it takes for a pendulum to make one complete swing de

Graphing of functions: f(x) = |x|^x

Use Graphing Utilities to examine a function of x : f(x) = |x|^x Lots of analysis of grpah of f(x)=|x|^x so please inspect the attachment for full treatise

Liner regression equation for OLLU

OLLU has the following data for the studentsâ?? enrollment from year 2005 to 2009. What is the estimated enrollment for 2010 by utilizing a liner regression equation? year actual enrollmemt 2005 2533 2006 2612 2007 2656 2008 2689 2009 2701

Show that g1 and g2 are continuous.

If f: R^n --> R is continuous on R^n and alpha<beta, show that the set {x in R^n: alpha <= f(x) <= beta} is closed in R^n. Let f be continuous on R^2 to R^n. Define the function g1,g2 on R to R^n by g1(t)=f(t,0) and g2(t)=f(0,t). Show that g1 and g2 are continuous.

Application problem with a linear function

Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4. With 55 gallons of fuel in its tank, the airplane has a weight of 2252 pounds. What is the weight of the plane with 22 gallons of fuel in i


. Determine whether the system is consistent, inconsistent, or dependent. 3x + 2y = 15 6x + 4y = 30 (Points : 1) Consistent Dependent Inconsistent 7. Carla invested $23,000, part at 16% and part at 15%. If the total interest at the end of the year is $3,500, how much did she invest at 16%? (Poin

Quantitative Reasoning

1. Data-Information Relationship A. What is the difference between data and information? What is needed for business decision-making? Data, information or both? If you think data is different from information, which comes first? Data or information? B. Raw data is a list of words or numbers. The purpose of descriptive stat

Trains A and B are traveling in the same direction on parallel tracks.

Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 60 miles per hour. Train A passes a station at 10:10 A.M. If train B passes the same station at 10:25 A.M., at what time will train B catch up to train A?

Conversion Problem

The height in feet of a particular theme park ride is modeled by the function h(t) = -16t2 + 70t + 90, where t is the time in seconds after the ride starts. When does the ride reach its maximum height? What is that maximum height?

Functions for Maximum Heights

A stone is thrown upward from the top of a 180 meter building at a speed of 10 meters per second. Its altitude in meters above the ground is modeled by the function h(t) = -9.8t^2 + 10t + 180, where t is time in seconds. After how many seconds does the stone reach its maximum height above the ground? What is that maximum height?

Problems involving a vertical line

A) Explain why the line x = 5 is a vertical line b) Why y = -5 is a horizontal line. c) Write an equation of a line in the form of y=mx + b with a negative slope. d) Write an equation of a line in the form of y=mx + b with a positive slope.

Decision Analysis Problem

A firm is faced with the attractive situation in which it can be obtain immediate delivery of item it stocks for retail sale. The firm has, therefore, not bothered to order the item in any systematic way. However, recently profits have been squeezed due to increasing pressures, and the firm has retained a management consultant

Graphing linear equations and applications

1. The following table shows the number of hours five car salespeople worked and the number of cars they sold. Using Excel, plot each point on the same graph where the first coordinate is the number of hours and the second coordinate is the number of cars sold (hours, cars). After plotting each point, explain if there is a linea

Graphing linear equations and applications

The number of arrests y of a city over a period of time x is graphed on a rectangular coordinate system. Write a paragraph describing your interpretation when the slope is positive, zero, and negative. If you were buying a home in this particular city, which slope would be most attractive to you and why?

Graph functions

Graph the following functions. y=2x-1 y=(-3/4)x+5 y=x^2-4 y=3x^2-6x-5 Label each axis and all intercepts

Graphs & Functions: Real Life Applications

Please help with this paper: Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life. -Provide some examples of real life situations that graphs could be used to represent.

Graphs and Functions

Answer following questions showing your work for all problems. Part I Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points. a. Y = 3X2 b. (X-1)2 + (Y-8)2 = 16 c. (X+2)2 + (Y-4)2 =


Exercises on Functions Answer the following questions: 1. What is a function? 2. What is a linear function? 3. What form does a linear function take? (I.e., What is the standard mathematical notation of a linear function?) 4. What is the formula for determining the slope of a line? 5. Which of the followin

graph of the constraints

A set of contraints for the profit formula P=5x+2Y are given. a) Draw the graph of the constraints and find the vertices of the feasible region. b) Use the vertices to determine the maximum and minimum profit. X+Y is Less than or equal to 5; X is more than or equal to 0 X-2Y is less than or equal to 6; Y is more tha

Parabolic Graph

Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function? Provide three real world applications of a parabola and explain its importance to our daily life.

Pade approximation

Please also give Matlab solutions to the following problem. Find the Pade approximation R_(5,4) (x) for f(x) = sin x. Plot the following graphs: i) Comparison of R_(5,4) (x) versus f(x) = sin x, and ii) the error E(x) = |R_(5,4) (x) - sin x|, each on interval [-PI, PI].