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Basic Algebra

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)

Need help on solving equation

F= mv^2 for r - r 1= 1+1 for r - r r1 r2 V=4r2 h for h - 3 Can you please help and give a detail explanation on to solve these equations with a step by step process, please ,, Thank You,, Rudy

Mathematical induction

A.) Use the Principle of Mathematical Induction to prove that n3 > n2 + 3 for all n ≥ 2. b.) Use mathematical induction to prove that every amount of postage of six cents or more can be formed using 3-cent and 4-cent stamps.

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.

Sales Revenue Problem

A department store sells 20 portable stereos per week at $80 each. The manager believes that for each decrease of $5 in the price, 6 more stereos will be sold. Show the price P by means of a polynomial. Show the quantity Q by means of a polynomial.

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.

Solve for x

I need help finding the solution to the following problem: The square root of X, plus the square root of (X-1) = 7 Solve for X


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


Please see attachment for equation to be solved.

Gradients of vectors expressions

See attached file for full problem description. f = r.k/|r^3| What is the gradient of f? Show that for vectors v and r and constant vector a we get: if v=(a.r)r Div(v) = 4(a.r) Curl(v) = a x r

Polynomial Interpolation Question

16. Let P_2(x) be the quadratic polynomial interpolating f(x) at the evenly space point x_0, x_1 = x_0 + h, x_2 = x_0 + 2h. Derive formulas for the error: f'(x_i) - P'_2(x_i), i = not zero, 1, 2 Assume f(x) is three times continuously differentiable, give commutable bounds for these errors. Hint: use the error formula


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