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# Basic Algebra

### A physician order Diuril 250 mgm. The dose on hand is 0.5 grams per tablet. How much will you give? (plus 7 other similar examples)

1. Convert the following weights to kilograms: ? 45 lbs ? 88 lbs 2. A physician order Diuril 250 mgm. The dose on hand is 0.5 grams per tablet. How much will you give? 3. A physician orders Demerol 25 mgm IM. On hand is an ampule of Demerol 75 mgm in 2 ml. how many ml are drawn into the syringe? 4. A physician orders

### 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

### Suppose you are an event coordinator for a large performance theater.

I need to know how to Solve these problems. Step-by-step if you could. My instructor may as well be speaking Martian, I can not understand his explanations. I do not have the foggiest idea on where to begin. Help! Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway music

### 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

### Using the quadratic formula to solve quadratic equations

Is it true that solutions to quadratic equations can always be found using the quadratic formula?

### Explaining Factoring Method in Quadratic Equations

When solving quadratic equations, please explain the factoring method. Can this be used in all equations?

### 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?

### Basic Algebra. Adding fractions, absolute values, writing set of real numbers in interval notation

1. Write the interval notation for the graph up through 10. -¥Ü-20____-10___0___10___)20_______30______? 2. Write in interval notation the real numbers between 0 and 1. 3. Write in interval notation the set of real numbers between -2 and 2, inclusive.

### 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

### Radical and Rational Exponents

1) Solve the following algebraically. You must show all your work. 2) Solve algebraically and check your potential solutions: sqrt(x +20) -x = 0 3) a) Show the steps that you would take to solve the following algebraically: b) What potential solution did you obtain? Explain why this is this not a solution. 4) For the

### Methods for Solving Quadratic Equations

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?

### Evette has 41 1/2ft. of string. She wants to cut it into pieces 3 3/4ft. long.

Evette has 41 1/2ft. of string. She wants to cut it into pieces 3 3/4ft. long. How many pieces of string will she have? how much string remains, if any?

### Logarithmic Functions

Please see the attached file for the fully formatted problems. 1. Use the change of base formula to find the following logarithm. Round to five decimals. 2. Solve for x in each of the following equations below. Give the exact answer when possible. If no exact answer is possible, round your answer to 5 decimals. (a)

### Logarithmic Functions with Domain, Range, Intercept and Vertices

Please see the attached file for the fully formatted problems. NO CALCULATOR allowed: Use techniques of transformation and rules of logarithms to find domain, range, intercepts and the equation of the vertical asymptote for the following function: f(x) = log 5 (x + 2) a) What action was used to transform y = log 5 (x)

### Solving Quadratic Equations with no Solutions

Write a quadratic equation (see attachment) How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only give the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate's with one or two solutio

### Put-call parity call premiums

Question attached in excel. On June 25th, the call premium on a Dec 25 PHLX contract is 6.65 cents per pound at a strike price of \$1.81. The 180-day interest rate is 7.5% in London and 4.75% in New York. If the current spot rate is 1 pound sterling = \$1.8470 and the put=call parity holds, what is the put premium on a December

### Develop a question for a high school level class that requires the collection of data.

Develop a question for a high-school level class that requires the collection of data. What type of graph would you use to represent the data and why? Focus on finding relevant, personally meaningful material to work with for these students.