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Basic Algebra

Mathematics - Polynomial & Rational Functions

Exercise 4.1 29. Daily Revenue The daily revenue from the sale of a product is given by R = -0.1x³ + 11x² - 100x dollars, where x is the number of units sold. a. Graph this function on the window [-100,100] by [-5000, 25,000]. How many turning points do you see? b. Because x represents the number of units sold, what restric

Mathematics - Exponential & Logarithmic Functions

Please resend the solutions below. Exercise 3.4 (from posting 267232, was missing the table, so was unable to get the solution) 23. Life Span The table below gives the life expectancy for the people in the United State for the birth years 1910-1998. a. Find the logarithmic function that models these data, with x equal

Algebra - Solving exponential & logarithmic functions

Exercise 3.1 25 Continuous Compounding If $8000 is invested for t years at 8% interest compounded continuously, the future value is given by S=8000e0.08t dollars. a. Graph this function for 0< t < 15. b. Use the graph to estimate when the future value will be $20,000. 27. Radioactive Decay The amount of radioactive isotope

Determining Puzzles in Statistics

Determine the name of each race, the full name of each winner (Sam is a man), and the age of each winner. 1. The 5 mile race and the 1 mile trail were both won by women. The 63 year old did not win the wheelchair roundabout. Susans last name was not West. 2. The sack sprint was won by the 16 year old. Mr. Panda who wa

Slope Intercept and Line Equations

Write equation in slope-intercept form: y+3= -3(x-6) Find equation of line that goes through the given point and has given slope. Answer in slope intercept form: (-1,-5), -8 Find equation of line. write answer in slope intercept form. "The line is parallel to -3x + 2y=9 and contains the point (-2,1) Find the equ

Functions of Two Projectiles

Exercise 2.5 15. Cell Phones The following table gives the number of millions of U.S. cellular telephone subscribers. a. Create a scatter plot for the data with x equal to the number of years from 1985. Does it appear that the data could be modeled with a quadratic function? b. Find the quadratic function that is the best fi

Mechanical Solution on Weber Model

6) You need to locate a helicopter service to serve the following locations in Alaska. The average number of trips per month follows the "map." Locate the service to minimize the over all flying miles per month. Each grid mark represents 10 miles. Trips to A will be 2

College Algebra

See Attached for complete details of the problems. - The height of a rocket is given by the equation where the height is measured in feet above the ground and the time, t, is measured in seconds. How long will it take for the rocket to hit the ground? - Ann has a 32 oz. bowl of M&Ms on her coffee table. The candies are 50%

Evaluate the functions

Answer the following question: For the exponential function ex and logarithmic function log x, graphically show the effect if x is halved. Include a table of values for all four functions. Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Rank in order from fastest to slowest the rate at whi

Elementary Algebra: Basic Operations with Polynomials

Elementary Algebra: Basic Operations with Polynomials) 2. Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ? A. -6x2 + 25x + 6 B. 6x2 + 5x + 6 C. 6x2 - 5x + 6 D. 6x2 - 5x - 6 E. 6x2 - 13x - 6 (Elementary Algebra: Substituting Values into Algeb


Please see attached file for the complete details of the problems. WEEK 3 HOMEWORK DQ1 1. Why do you factor a quadratic equation before you solve? Give an example. 2. When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same opera

Evaluate each polynomial

Identify rational expressions. ? Identify restrictions on the variable in the denominator of a rational expression. ? Simplify rational expressions. ? Determine the least common denominator (LCD) to combine rational expressions. ? Perform operations on rational expressions. ? Solve ra

Social stratification in terms of social class, status,and power.

Using critical thinking, discuss social stratification in terms of social class, status, and power. Can you determine someone's social class, status, and power merely by their appearance? What factors may be misleading? Do you believe class, status, and power is a social inequality in our society? Why or why not? How are s

Area as a Model of Binomial Multiplication

Week Two Learning Team Activity All the information needed for the report is referenced in the attachment. Write a report in your own words that describes the activity and your results. Use APA format. Any help will be greatly acknowledge as to I am not good at diagraming.

Methods of Solving Quadratic Equations

1. There are four different methods to solve quadratic equations. (a) List all 4 methods. (b) Explain and give an example of 3 of those methods. (c) Explain which method is preferred and why. 2. Solve the following problems. a) Solve by using the even-root property. 3x - 5 = 16 b) Solve by using the follo

compound inequality expressions

(1) Does x = -5 satisfy the following compound inequality? 4 > -2(x+8) >= -6 AND 4 < 3x + 10 < 19 (2) Simplify the following compound inequality and express the result using interval notation: 7 < 3(x+2) + 10 < 25 AND 8 > 10 - 2x > 0 (3) Solve for x: | x - 1/4 | =

Please see attachment for instructions

1. Evaluate: + 3 2 2. Simplify the following expression: -3(-2x - w) +3(4w - 5x) 3. The surface area of S of a right prism is given by: S = 2B + Ph, Where B is the area of the base, P is the perimeter of the base, and h is the height of the prism. Solve for P. 4. Solve the following equation for


Please see attached for the full details of the problems: WEEK 2 DQ 1 1. When simplifying like terms, how do you determine the like terms? 2. How do you determine the common factors in an expression? 3. What is factoring by grouping? When factoring a trinomial by grouping, why is it necessary to write the t

Are low math scores being affected by the use of manupulatives?

A. Problem Statement 1. Are low math scores being affected by the use of manupulatives? Are Algebra Tiles effective for raising TAKS Math scores in High School students? 2. Describe at least three symptoms of the problem or pieces of evidence that illuminate the problem above. B. Literature Search: Find materials relevant

Algebra Homework

Please see attached document for the complete details of the problem. SECTION 4.1 The power of the power rule: # 50 The power of a Quotient rule: # 66 Simplify, all variables represent nonzero real numbers: #72 SECTION 4.2 Negative Integral Exponents: #26 The rules of Integra

Quadratic Equation Word Problems

1. A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet? 2. A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is

Practice work Sheet Math 209

Practice Worksheet Week2 Chapter 5 Section 5.2 Factor each polynomial completely. 62. x3 2x2 y2 + xy3 Section 5.4 Factor each trinomial using the ac method. 38. Section 5.5 Factor each polynomial completely 66. 72. Section 5.6 Solve each equation 58. 66. Solve each problem. 98. Avoiding a col

Diagonal brace, foul ball and sharing costs

1.Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures square root 6 m. Find the width and height. 2.Foul ball. Suppose Charlie O'Brian of the Braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft. a) Use the formula to determine how lon

Fundamental Operations on Polynomials and Factoring

A.Find p(x) + 3q(x) p(x) = 2x^4 + 15x^3 - 10x^2 + 14 q(x) = 35x^4 - 16x^2 + x - 11 b.Find P(-1/2) if P(x) = 4x^4 -2x^3 + 17 c.Simplify: (-3x + 4x^2 + 6x^3) - (4 - x + 2x^3) - (-6x^2 + y) d.Add: (10x^2 + 3y^2 - 6z^2 + xy + 4yz + 2xz) + (2x^2 - y^2 + 5z^2 - 2xy + 7yz - 3xz) e.Multiply: (2x - 3y)^2 f.Multiply:

Several algebra problems explained in this solution

1) Find the domain of the following: a) Answer: b) Answer: Explain how you obtained your answer here: c) Answer: Show your work or explain how you obtained your answer here: d) Answer: Explain how you obtained your answer here: 2) Describe the transformations on the following graph o

Demand for Tropical Pools Formula

Attached is a copy of my study guide that I am studying this week. There are three questions. Please, please, please double check for accuracy. It would be nice to have a detailed explanation that will assist me for studying purposes. Section 6.2 70. Perform the indicated operation. Section 6.4 Perform the i

Simplifying Equations & Problems

1. Simplify: 4[a - b(2 + 3a)] - 3a[2+b(4 - a)] 2. Simplify: (7x2 - 2y + z) + (3y - z) + (4x2 - 6y) 3. Simplify: (8x2 - xy + 4y2) - (12x2 - y2 + 7xy) 4. Simplify: (12x2y2 - 15xy2)/(3xy) 5. Simplify: 5x[(3x2 + x - 4) + (9x2 - 6x)/(3x)] 6. Simplify: 8 - {3x + 9y - (2x - y) + 8x + 5y} 7.If P = 2y - 6xy - 3x and Q = 4 -

Perform factoring using the required method.

Find the greatest common factor for each group... 16x^2 z, 40xz^2, 72z^3 Factor out for the GCF 15x^2y^2-9xy^2+6x^2y a(a+1) -3(a+9) Factor completely 9a^2-64b^2 x^3y + 2x^2y^2 + xy^3 use grouping to factor x^3 + ax + 3a + 3x^2 factor and if it is prime say so...... 18z + 45 + z^2 h^2-9h