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Basic Algebra

Practice problems on Quadratic Equations

9 practice problems on quadratic equations in the attached file. 8)a)Solve 7x+x(x-2)=0 b)Find the x-intercepts of f(x)=7x+x(x-2) 15) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=2x2-8x+6 (21) Solve by completing the square (23) Find the vertex,

Algebra: Solve by Completing the Square

See the attached file. Solve by completing the square ________________________________________________________________________ The width of a rectangle is 1ft less than the length. The area is find the length and width. The width is __________ft The Length is _________ft A farmer decides to enclose a rectangul

Newton Divided Difference Interpolatory Polynomial

Hi, Your assistance with the following interpolation problem would be appreciated. I do have an existing Maple program that might be of assistance. Please let me know if you would like it. Approximate the following function using the set of nodes {1.0, 1.25, 1.75, 2.0, 2.5, 3.0} Use the Newton divided - difference inter

Polynomials & Exponents

Please complete the attached equations and show each step for completion. 1. (x - 2) / (2 - x) 2. (x^2 - 3x +5) /( x + 2) 3. -6a^7 b^6 c^2 / (-2a^3 b^8 c^2( 4. w^(-6) /w^(-4) 5. (-2x-6 y)^3 6. Convert to a scientific notation: 0.0000065 7. Perform equation by converting to a scientific notation and give answ

Using a Payoff Table to Determine Optimal Quantity

See attached file for further question details. 1. Bev's Bakery specializes in sourdough bread. Early each morning, Bev must decide how many loaves to bake for the day. Each loaf costs $0.35 to make and sells for $1.15. Bread left over at the end of the day can be sold to a day-old baked goods store for $0.25. Past data indic

Green Valley Mills produces carpet at plants in St. Louis and Richmond.

1. Green Valley Mills produces carpet at plants in St. Louis and Richmond. The carpet is then shipped to two outlets, located in Chicago and Atlanta. The cost per ton of shipping carpet from each of the two plants to the two warehouses is as follows: To (cost) From Chicago Atlanta St. Louis

Regression, Correlation, Least Squares Line, Etc.

** Please see attachment! ** The material is from MORE REGRESSION PROBLEM. Please use any computer software to solve the problem if you want. Please provide the evidence of your work and explain your solution. Thank you. June Rainfall Blueberry 4.1 56.2 5.18 40 4.52 45.9 5.49 45.3 4.89 38.5 1.11 3

Graphing and Equations for Slope-Intercept Forms

Please show work 1. Solve by graphing: 4x +5y = -2, 4y -x = 11 2. Write in the slope-intercept form: y + 2/3= - (1/2)[x -( 2/5)] 3. A gun is fired straight upward. The bullet leaves the gun at 1000 ft. per sec. The equation for the bullet's velocity is v = -32 t + 1000. What is the v

Factoring Polynomials..

Please help solve these problems: 1. If the sides of a square are lengthened bt 5cm, the area becomes 169cm2. Find the length of a side of the original square. 2.4b2 + 49 - 28b = 3.28b2 + 196 bt + 343t2 (factor completely) 4. Solve 25x4 - 25x2 + 6 = 0 5. Solve x2 + 6x - 4 = 0

First order linear differential equations

To begin with, I have an example problem that asks to find a complete solution for: y'+ 2xy = x The text says to multiply both sides by e^int a(x) dx In this case, that equals e^x^2 It then continues by multiplying. 1) e^x^2 * y' + e^x^2 * 2xy = e^x^2 * x or 2) [e^x^2 * y]' = x * e^x^2 I do not understand h

Factoring Poynomials

Attached is a math study review. 1. Factor completely, or state that the polynomial is prime. 2x3 + 250 2. Factor completely, or state that the polynomial is prime. 16x3 - 16x 3. Factor completely, or state that the polynomial is prime. 9x4 - 9 4. Factor by grouping. Assume any variab

Graph each inequality and equation.

Pg 231 question #36 pg 230 question #26 pg 211 question #22 pg 210 question #10 pg 201 question #46 pg 200 question #10 pg 192 question # 50 pg 190 question # 16 pg 189 question #10 pg 177 question # 58 pg 175 question # 34

Basic Algebra

Place each of the following sets in ascending order. Evaluate. Note: These are absolute sign problems! SECTION 9.2 Add and subtract using the proper rules. Evaluate each of the following absolute value expression. Label each of the following statements as true or false. 72. Business and f

Write a program or programs to interpolate the data given below at the specified points using Neville iteration, Newton's interpolatory divided-difference formula, and a natural cubic spline.

Math 609D Programming Assignment #3 Due Date: March 17, 2008 Write a program or programs to interpolate the data given below at the specified points using Neville iteration, Newton's interpolatory divided-difference formula, and a natural cubic spline. Use your programs to do the following. 1. For x = 0.25, x = 0.5, and x =

Solving and Simplifying Equations

1. x - 23 =12 Solve for x 2. 2z + 12 = 5z - 9 Solve for z 3. 1/3 + 3/8 = ? 4. 2/3 -1/ 4 = ? 5. Solve for x: ¼(x-2) - ½(x-4) 6. (4x)(2x) = ? 7. Write in interval notation the real numbers greater than or

How do you know if a quadratic equation will have one, two or no solutions?

1. How do you know if a quadratic equation will have one, two or no solutions? 2. How do you find a quadratic equation if you are only given the solution? 3. Is it possible to have different quadratic equations with the same solution? 4. Quadratic equations can be solved by graphing, using the quadratic formula, com

Algebra : Radicals and Quadratic Equations

(Please See Attachment) 1.) Find all numbers for which the rational expression is defined: S^3-7s/s^2-25 2.) GCF: -30a^3, 5a^4 (Would it be 5a^3 or -5a^3??) 3.) Use rational expressions to write: x^1/2*y^1/6*z^1/8 4.) Solve: x^2 +6x-4=0 5.: Use rational exponents to simplify: ^4 Sqrt x^12 (Would it be x^

Modeling Using Quadratic Equations and Graphing

1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staf

Write each expression with positive exponents only and then simplify

Here are some practice problems that I have done and am trying to self check Please complete all the problems on the attached document using Microsoft word's equation editor. Please see the attached file. Thanks 1. Write each expression with positive exponents only and then simplify: a. 2 -1 + 4 -1 b.

Exponential and Logarithmic Functions..

Define exponential function. Give an example of such function and graph it. Discuss what are common characteristics of all exponential functions. (i.e. domain/range/intercepts/asymptotes, general behavior) Define logarithmic function. Give an example of such function and graph it. Discuss what are common characteristics of al

Discriminants and Quadratic Equations

The standard quadratic equation is given as: ax^2 + bx + c = 0 , where a, b, and c are real numbers and a > 0. The quadratic formula can be used to solve for all solutions of any quadratic equation. If a graph of the quadratic equation crosses the x axis, it has two real number solutions. We use the discriminant of b^2 - 4ac,

Multiples of Quadratic Equations

Two quadratic equations that are multiples of each other are actually the same equation, and that they don't count as being "more than one QE that have the same solution set". However, if you plot the two equations on a graph, will they be different from each other, but have the same x-axis intercepts, which are the answer set?

Multiples of Quadratic Equations and their Graphs

Two quadratic equations that are multiples of each other are actually the same equation, and that they don't count as being "more than one QE that have the same solution set". However, if you plot the two equations on a graph, will they be different from each other, but have the same x-axis intercepts, which are the answer set?

Derivatives : Maximum and Minimum Values

9). Find the dimensions of a right circular cone of minimum volume that can be circumscribed about a sphere of radius 8cm. 32 , 8root 11. The sum of 2 positive numbers is 20. Find the numbers if A) their product is a maximum B) the sum of their squares is a minimum C) the product of the square root of one and the cub

Dividing, factoring and simplifying polynomials.

Need help with steps to the answer on all 12 problems. Divide: 5x3 - 5x + 1 by x - 3 Factor: 5x2 - 13x - 6 Factor completely: 16x4 - 40x2 + 9 Factor: 9b3 - 6b2 Solve: x3 - 4x2 - 21x = 0 I am thinking of three consecutive positive numbers. If I multiply the first with the third and then add