Word Problem - how long are the two pieces of wire?

A piece of wire L inches long is cut into two pieces. Each piece is then bent to form a square. If the sum of the two areas is 5L^2/128, how long are the two pieces of wire? (Answer in terms of L)

Quadratic Equation : Factor

9q^2-72q+750

Summation Series

Summation Series. See attached file for full problem description.

Proof: A rank-one matrix property.

Let X be a matrix. Prove X has rank-one if and only if it can be written as a product of two vectors X=uv^T. (v^T denotes v transpose)

Roots of a Quadratic Equation : Word Problem

Assume that the sum and product of two roots of a quadratic equation are 5 and 6, respectively. Find two roots.

Information about the Additive Principle

What is the additive principle? Could you give some easy examples so I can understand it better. Thanks.

Cubic Equation -Remainder Theorem

Solve: x3 - 2x2+x=-5(x-1)2.

College Algebra

Please help me with #4, #10, and #16. I am having trouble woth these. Please show your work so that I may better understand the process.

Algebra - Graphing a Function

Sketch the graph of each function.  Be sure to label three points on the graph. If f(x) =xcubed if x <0 and 3cubed + 2 if x is > or equal to 0 Find: (a) f(-1) (b) f(0)   (c) f(1)

Algebra - Graphing a Function

Sketch the graph of each function.  Be sure to label three points on the graph. If f(x) = integral (2x), find: (a) f(1.2)  (b) f(1.6)  (c) f(-1.8)