Algebra Answers

prove that the product of two algebraic integers is an algebraic integers

prove that the sum of two algebraic integer is an algebraic integer

Use inductive reasoning to predict the next number in each of the following list.

2, 5, 10, 17, 26, ?

a machine starts production of matchboxes at the rate of 12000 per hour. The rate of production decreases by 40% every hour. Calculate the total nimber of matchboxes produced in first 2 hours

Given 𝜇=72; and 𝜎=8, find the z-score that corresponds to each of the following scores up to two decimal place

Graph the solution set of the following system of linear inequalities 1. 2x+3y>8; 4x+5y<4 2. 3x-6y<3; 5x-3y<3; x>1

Solve the following equations by Elimination method, Substitution method and Graphing method.

1. 2𝑥 + 3𝑦 = 8

5𝑥 − 3𝑦 = −1

2. 2𝑥 +5y = 19

x − 2y = −4

3. 𝑦 = 5 − 2𝑥

4𝑥 + 3𝑦 = 13

4. 𝑦 = 2𝑥 − 3

𝑦 = − 2/3𝑥 + 5

three cans of beans and five cans of soup weigh 700g.

four cans of beans weigh 300g.

what is thr weight of five cans of beans and three cans of soup?.

E. Graphical Method; 1. 2x-3y=7;3x+y=5 2. 2x-5y=9;3x+4y=25

Equivalent Method; 1. 4x-6y=6 ; 7x-3y=6 2. 3x-3y=8; 9x- 4y=3