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Graphs and Functions

Plot graph of the equations

2. Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result. 3. Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result. Figured out the other graphs these two just arent looking right. Not sure if I figured the equations out right with the methods used.

Different Problems

Week 4/2 Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: 1. Integers 2. Rational numbers 3. Irrational numbers Week 4/ 3 1. How many solutions exist for a quadratic equation? How do we determine algebraically whether the solutions are real or complex? 2. Wh

Graph basic functions of one variable.

A. Given f(x) = -3x + 7 1. Graph f(x). 2. Label the graph. B. Given f(x) = -3x2 + x - 5 1. Graph f(x). 2. Label the graph. Note: To draw the graph, you may use one or a combination of the following: - A spreadsheet program, such as Excel (*.xls) - A graphics program, such as Paint (*.jpeg, *.gif) - A word

Linear programming: Constrained optimization problem

A business student at Nowledge College must complete a total of 65 courses to graduate. The number of business courses must be greater than or equal to 23. The number of non-business classes must be greater than or equal to 20. the average business course requires a textbook costing $60 and 120 hours of study. Non-business cours

Functions : Trnslation, Domains and Asymptotes

Please see the attached file for the fully formatted problems. MTH133 Name: 1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the followi

Slope of a Line Equation

1. If line / goes through (1,3) and is parallel to the line through (4,3) and (-3,1). find the slope of /. 2. How do I write the equation y=2/3x-3 in standard form using only integers and a positive coefficient for x. 3. What is the equation if a line /goes through (-3,-1) and (-1,4)? 4. What is the equation in slo

Slope and Intercept

Need to provide a real world situation where the slope and intercept have some meaning in reality. The situation needs to describe what the dependent and independent variables are and what the slope and intercept means in terms of the real parameters.

Rational Functions and Polynomials

Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial. Given the polynomial f(x) = 2x3 + 5x2 - x - 5, answer the following questions: Graph the polynomial. What is the degree of the polynomial? Explain the constant in the polynomial and how

Finding the range of the selling price

Need assistance in solving this problem using inequality: Joe wants to sell his car through a broker who charges a commission of 10% of the selling price. Joe still owes $11,025 on the car. Joe must get enough to at least pay off the loan. What is the range of the selling price?

Explain what is meant by a function.

1. Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions. 2. How many x-intercepts can a function have? Give a specific example and state the rule that backs up your answer. 3. Explain how the vertical line test works t

Functions, Graph and Equations

HELLO I NEED HELP WITH SOLVING THESE 17 MATH PROBLEMS 1. SLOPE 4.2 AND Y INTERCEPT (0,-5) THE SLOPE INTERCEPT EQUATION Y 2. X+9=Y Y-X=-5 WHAT IS THE SLOPE OF THE LINE X-9=Y AND Y-X=-5 3. M=0,(0,9) THE EQUATION OF THE LINE IS Y 5.GIVE THE FUNCTION H DESCRIBED BY h(x)=x+13 find the following h(0)= h(-14)= h(-1

Functions, Graphs, Domains and Asymptotes

Please refer to the attached file for the formatted homework problem set. 1. State the domain of the following: a) f(x) = square root(x+4) b) g(x) = (2x + 1) / (x - 7) c) h(x) = 3x^2 + fx - 3 d) l(x) = 2x + 3 e) m(x) = 3 / (x^2 + 7) 2. Suppose the graph of y = x^2 is shifted to obtain each the following gra

Population Growth : Graphing, Trends and Forecasting

MATH 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) Decide on a name of a rural to

System of equations

Need help answering these questions. Please see attached. I need to see how to solve the system of equations by graphing and checking the estimate of the solution. Please help, I need to know this by tomorrow.

Bar Graphs, Pie Graphs and Organizing Data

Problems 1. The monthly principal and interest payments for a mortgage from 1999 to 2004. Use this information to predict the payment for 2005. Year payment 1999 $578 2000 613 2001 654 2002 675 2003 706 2004

Solving system of equations by graphing

Solve each system of equations by graphing: 1). y=x-4 and y= -2x+2 2). Y=2x-3 and y=-x-6 3). Y=3x-2 and y=1/2x+5 4). Y=1/3x+1 and y=-2x+8 5). X+y=-3 and x+y=4 6). Y-x=0 and 2x+y=3

Aggregate Expenditure

Explain how the aggregate expenditure function shifts in response to changes in each of the following variables: a. The real interest rate increases. b. Consumer confidence decreases. c. Higher taxes are imposed on business profits. d. The economies of many countries in the rest of the world go into recessions.

Functions and Population Growth

MTH133 Unit 4 Group Project - 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) D

Explanation of slope !!!

1) Vertical line = infinity (or no slope) "I say" "Slope is always defined as rise/run. In a vertical line, you rise infinitely, but you have no run, so you have some number as your rise/0. Anything divided by 0 is undefined, so the slope of a vertical line is undefined." Response....saying I am wrong No slope is not t

Linear Equations and Population Growth Per Year

Suppose that the amount that your town's population grows each year is fixed (or constant). Choose the amount of population growth each year. (Hint: Choose a whole number for your growth rate, rather than a percent.) A) Year(t) Population (P) t=0 (2010) t=1 (2011) t=2 (2012) t=3 (2013) t=6 (2016) B) Find a linear

Evaluating Functions

In three sentences or less, describe how we evaluate a function. A brief definition of a straight line graph is a linear function of the form y = mx + c, where c and m are constants. Although you do not actually see the function written out, many professions use a straight line graph. Name one profession that use a straight l

Solving a System by Graphing, substitution & elimination

Problem #20 Solving a System by Graphing Solve each system by graphing. y = − 2/3x 2x + 3y =5 Problem # 56 Solving by Substitution Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. 2x − y = 4 2x − y = 3 Problem # 70 Solve

Function as a Set of Ordered Pairs

Give an example of a function using a set of at least 4 ordered pairs. The DOMAIN will be any four integers between 0 and +10. The RANGE will be any four integers between -12 any four integers between -12 and 5.

Graph Interpretation: Solving Example Equations

I have a few questions that I need help with and one that I need to check. These include calculation with compound interest, determine if graph is one on one function and solve equation. Please see the attachment.

Graphs & Functions

Find the equation for each of the following items below: a. A line that passes through (6,2) and has a slope of 2. b. A line that passes though the points (2,4) and (8,16) c. A line that passes through (7,3) and has a slope of -1. d. A line that passes through (1, 1) and is perpendicular to the line 3x+4Y=12. e. A