4 Questions - Linear Programming-Optimization problems

See attached file for full problem description --- A cook is puzzling over the number of pounds of food he should purchase in order to minimize his cost. He has always brought his food from a small health food store in town. The store sells two types of mixtures. Both of these mixtures contain the three ingredients needed ...continues

Maximize the objective function

Maximize the objective function C=3x+2y with the constraints x+2y=4, x-y=1, x=0, y=0

Working with and factoring trinomials.

Find 16 different values for "b" that would make the following trinomial into two binomials: 6x^2+bx-10

Solving mathematical expressions.

Solve for p 7p = -42

Algebra

Algebra, see attachment

The difference between a relationship varying inversely or directly.

What is the difference between varying inversely or directly?

quadratic equations

What are quadratic equations?

Equation solving

solve x^4+x^3+x+1=0

Word problem dealing with volume and perimeter.

A landscaper just finished a garden measuring 6' by 10'. They just have enough money to lay down a concrete path 3" thick using 1 cubic yard of concrete. How wide is the path if it goes completely around the garden?

Graph equation

plot f(x)=3(x-7)^2+5 using transformations. Track the points (0,0)(1,1) and (-1,1) from the reference equation (graph) to their final position.