Algebra Answers

what is 680 inches in feet

Using the algebraic expression 2(5x +2y) + 3x + 6y - 10, identify and explain the following:term, factor,variable, constant and coefficient

Use a measurement context and financial context to introduce integers to a grade 6 class

Explain when each of the following algebraic aspect or concepts was developed.State in what part of the world was that aspect or concepts developed.
i. Base ten place value to write numbers
ii Negative coefficient
iii Letters to indicate variables that
iv. Zero
v Equation sign

To split (s+10)/((s+4)(s-2)) into two terms.

A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue?
and Constraint Graph Space

in the equation P = 7n + 6 . determine P when n = 9

A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per day, and p is price. The total cost function of the company is given by c = (30+5x) 2 where x is previously defined and c is total cost.
Find the revenue and marginal revenue functions [Hint: revenue is price multiplied by quantity i.e. revenue = price × quantity] (3 marks)

10.1 Use 9.2 to evaluate sin π/5 , sin 2π/5 and cos π/5 . 10.2 Let z = cos θ + i sin θ. Then zn = cos(nθ) + i sin(nθ) for all n ∈ N (by de Moivre) and z−n = cos(nθ) − i sin(nθ). (a) Show that 2 cos(nθ) = zn + z−n and 2i sin(nθ) = zn − z−n. (2) (b) Show that 2n cosn θ = (z + 1 )n and (2i)n sinn θ = (z − 1 )n. (2) (c) Use (b) to express sin7 θ in terms of multiple angles. (6) (d) Express cos3 θ sin4 θ in terms of multiple angles. (6) (e) Eliminate θ from the equations 4x = cos(3θ) + 3 cos θ; 4y = 3 sin θ − sin(3θ). (5) [30]

A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per day, and p is price. The total cost function of the company is given by c = (30+5x) 2 where x is previously defined, and c is total cost.
A. Find the revenue and marginal revenue functions [Hint: revenue is price multiplied by quantity i.e. revenue = price × quantity] (3 marks) B. Find the fixed cost and marginal cost function [Hint: fixed cost does not change with quantity produced] (3 marks) C. Find the profit function [Hint: profit is revenue minus total cost] (2 marks) D. Find the quantity that maximizes profit (2 marks)