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Basic Algebra

Diverse algebra questions

Could I please get step-by-step solutions to these problems to help me understand? I have attached a pdf file and a word file, they have the same questions. Thank you very much (rewrite using only positive exponents, calculate equations, simplify, Pythagorean Theorem,Graph the inequality,Rationalize the denominator, Solve by

Sales Revenue Linear Equations

Sale managers normally want to increase revenue R by selling more. For example, a manager may know by experience that revenue R will increase or decrease according to the following mathematical linear model for a a sales price P and quantity sold Q of a certain commodity: P=Po +-px [This represents a linear equation with posi

Rational expression...

Find the LCD for the expressions below and convert each rational expression into an equivalent rational expression with the LCD as the denominator. -3/ (2 p2 + 7p -15) p/ (2 p2 - 11p +12) 2/ (p2 + p -20) (See expression in Attachment)

Word problems: Variable expressions

If Carrie walked 40 miles in x hours, then how fast did she walk? If 9 pounds of pears cost x dollars, then what is the price per pound? If Ramon can mow the lawn in x-3 hours, then how much of the lawn does he mow per hour? (Question also in attachment).

Volume of a cube

A cubic shipping container had a volume of a3 cubic meters. The height was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container now is a3+2a2-3a cubic meters. By how many meters were the height and width changed. Note: Appendix A gives the formula for

10 Beginner Algebra Questions

1. Solve by factoring: 2x^2 + 5x = 3 3. Solve by using the square root property: 3x^2 = 16 6. Solve by completing the square: 2x^2 - 3x - 4 = 0 7. Solve using the quadratic equation: 2x^2 - 3x - 4 = 0 (See attachment for all questions)

Factoring Polynomials and Primes

Factor the polynomial below, if prime say so. Section 6.5 Reference: Examples 3 and 4 Factor each polynomial completely. If a polynomial is prime say so. Note: See page 303 "Factoring a Difference or Sum of Two Cubes" to factor (m3+n3). This is a good example of factoring by long division and leads to the formula below

Samples and population

(1). Voting,,,If 220 out of 500 voters surveyed said that they would vote for the incumbent, then how many votes could the incumbent expect out of the 400,000 voters in the state? (2). Miles and Hours,,, If Alonzo travels 230 miles in 3 hours, then how many miles does he travel in 7-hours? (3). Bear Population,,,To

Motion Problem

If Sergio drove 300 miles (m) at (x+10) miles per hour(m/hr), the how many hours did he drive? Use the formula for "t" given above.

Simplify / Reduce the Expression (Radicals)

Simplify the following expression: (see attachment) Hint: The first step is to make the radical a perfect cube (so that exponent equals index) so as to eliminate the radical from the denominator. Note: A radical expression of index n is in simplified form if it has: ? no perfect nth powers as factors of the radicand ?

Law of Exponents (CD; Annual Rate of Return)

Ronnie invested P dollars in a 2-year CD with an annual rate of return of r. After the CD rolled over two times, its value was P((1+r)2)3. Which law of exponents can be used to simplify the expression? Simplify the expression.

Evaluate: Travel Time

Question: After leaving moose jaw, Hanson drove 200 kilometers at x km/hr and then decreased his speed by 20 km/hr and drove 240 additional kilometers. Make a table by writing a rational expression for his total traveling time. Evaluate the expression for x=100.

Algebra Equations Graphing

May I have step by step solutions to help me. thank you! I have the questions below as well as an attached word and pdf file. 1. Graph each equation to find the solution of the system. x - 2y = 4 2x + y = 6 2. Draw a line on the grid (the Cartesian plane) so that the system of no equations has NO solution. 3. Darle

Estimate the price of a copper and its concentration

Extracting metals from ore: Thomas Sherwood studied the relationship between the concentration of a metal in commercial ore and the price of the metal. The accompanying graph shows the Sherwood plot with the locations of several metals marked. Even though the scales on this graph are not typical, the graph can be read in the sam


I need to solve a system of vector loop equations, using the Newton-Raphson method and find the (x,y) coordinates of the coupler point. This problem (NEW ATTACHMENT) is listed in "Applied Numerical Methods for Engineers and Scientists" by Singiresu S. Rao: problem 2.3, page 139.

Polynomial Interpolation - Newton's method

(i) Use the tabulated data and Newton's method of divided differences to (a) calculate the degree three interpolating polynomial based on x_0, x_1, x_2, x_3 and (b) calculate the degree four interpolating polynomial based on x_0, x_1, x_2, x_3, x_4. x_k || 0 | -1 | 1 | 3 | 2 y_k || 5 | 15 | 3 | 47 | 9 (Use exact arithmeti

Understanding Alegbra.

I am having diffilculties understanding the whole concept of Real Numbers and Their Properties, Real Numbers, Fractions, Addition and Subtraction of Real Numbers, Exponential Expressions and the Order of Operations, Properties of the Real Numbers and Using the Properties to Simplify Expressions. What I need is a break-down of th

Spherically Symmetric Solution to the Helmholtz Equation

Please see the attached file for the fully formatted problems. Consider the inhomogeneous Helmholz equation in spherical coordinates.... ... FIND that solution to this equation which (i) is spherically symmetric, i.e. independent of theta and phi. (ii) is finite at ... (iii) expresses an outgoing wave i.e. ... at large (