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Basic Algebra

Various Algebra problems and equations

See Attached for details and questions Problem 8 Find the LCD and perform the following operation: Problem 9 For the following parabola find (you are not required to plot this solution): (1) maximum value (2) the vertex (3) the x -intercepts (4) y-intercept (5) the domain (6) the range Problem 10 Solve the t

Various Algebra Questions

Simplify the following expression (avoid negative exponents in the final answer): See Lecture 1 and Lecture 5 for an optional procedure *see attached for equations* Simplify the following expression (avoid negative exponents in the final answer): See Lecture 1 and Lecture 5 for an optional procedure. *see attached for equa

Question about Uniform motion

The fundamental formula for such problems is where d represents the distance covered when moving at a speed s during a length of time t. This formula can be solved for s or t (if d is in miles and t is in hours, then s has the units of miles/hour) Smith bicycled 45 miles going east from Durango, and Jones bicycled 7

Two different forms of solutions of Linear Diophantine Equation ax + by = c

If (xo,yo) is a solution of the Linear Diophantine equation ax + by = c , then the set of solutions of the equation consists of all integer pairs (x,y), where either x = xo + tb/d and y = yo - ta/d ( t = ........,-2,-1,0,1,2,........) or , x = xo - tb/d and y = yo + ta/d ( t = .........,-2,-1,0,1,2,......

Algebra Word Problem

A taste test with 200 randomly selected people found that only three of them said that they would buy a box of new Sweet Wheats cereal. How many boxes could the manufacturer expect to sell in a country of 280 million people? Question also in attachment

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

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)

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.

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

Newton-Raphson

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