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# Basic Algebra

### Mathematics - Algebra Solved

W(w-2) = 35 The solution set is {______} Use a comma to separate answers.

### Find the integer

Find three consecutive positive integers such that the product of the first and third, minus the second is one more than 4 times the third. The smallest integer is___ The second smallest integer is ___ The largest integer is___

### Mathematics - Algebra - Find the Legs

The length of one leg of a right triangle is 10ft. the length hypotenuse is 2 feet longer than the other leg. find the length of the hypotenuse and the other leg. The length of the hypotenuse is ___ft The length of the other leg is __ft

### Mathematics, Algebra and Factoring

Factor completely v^4 - 2401 Type P if the polynomial is prime.

### Factor the trinomial completely

Factor the trinomial completely 56a^2 + 17ac - 3c^2 = Type P if the trinomial is prime

### Factoring a Trinomial Completely

Factor the following expression completely: 6s^2 + 29s - 42

### Is the Expression Prime?

Factor completely and comment on whether or not this expression is considered to be prime. If it is prime, type "P". a^2 - 64 =

### Factor ...

Factor x^2 + 18s + 81 = type P if the polynomial is prime

### Factor completely

Factor completely 2a^2 + 9a + 9 = Type P if the expression is prime

### Simplifying Multiple Radical Expressions

Please see the attached file for the fully formatted problems.

### Rational and Radical Expressions

Please assist with the attached algebra. 1. Find the square roots of 4900 What is the principal square root of 4900? 2. Find the square root that is real number 3. Find each function value, if it exists. f (t)= f (o)= 4. Find the following. Assume that variables can represent any real number. 5. Simpli

### Factoring and Solving for X

Please see the attached file for the fully formatted problems. Section 5.1 Factor out the GCF in each expression. EX68) EX 72) a(a+1)-3(a+1) Section 5.2 Factor each polynomial EX 16) Use grouping to factor each polynomial completely. EX 80) Section 5.3 Factor each polynomial. If the polynomial is prime, say so.

### Mathematics - Algebra Multiplying

Factor. Check by multiplying 6x^8 - 36x^6 = Type N if the binomial is not factorable.

### Mathematics - Algebra Solution

A (b -2) + s(b - 2) = Type N if the expression is not factorable

### Algebra: Factoring an Expression Completely

Factor completely w^2 - 14w + 48 = Type P if the expression is prime. Make sure to show all of your work.

### Mathematics - Algebra Factor by Grouping

Factor by grouping 20x^2 - 3qn + 12xq - 5xn =

### Factor the Quadratic Equation

Factor completely r^2 + 9r + 20 = Type p if the expression is prime

### Factor the Quadratic Equation

Factor completely x^2 + x + 3 = Type p if the expression is prime.

### Mathematics - Algebra Factor by Grouping

Factor by grouping r^2 - 10t - 2tr - 5r =

### Factor the Trinomial ...

Factor the trinomial r^2 - rx - 42x^2 = Type P if the polynomial is prime

### Factor a Polynomial

Complete the factoring: 2x^3 + 10x^2 + 12x Type P if the polynomial is prime.

### Rational expressions

See attached 1. Solve. 2. Divide and simplify. 3. Find all numbers for which the rational expression is undefined. 4. Solve. 5. Multiply and simplify. 6. Simplify by removing factors of 1. 7. Add. Simplify, if possible. 8. Find the LCM. 9. Subtract. Simplify by removing a fac

### Define relation and function.

Explain the difference between the two. Give two examples of relations and two examples of functions. What does it mean to evaluate a function? Given f(x) = 2x+3, evaluate it for x = -1. Explain what does it mean to find a root of the function. (zero of the function) Find all roots for f(x) = 2x+3.

### Inequalities : Real - Life Application ...

Give a real-world example when the solution of a system of inequalities must be in the first quadrant. Relate all the variables to real world quantities. Describe and write down the inequality.

### Give general steps for graphing a quadratic function ...

Give an example of a quadratic function and show how to graph it.

### Radical Expressions, cube root, word problems

Please help with attached algebra problems. ? Write an equation to describe each variation. Use k for the constant of proportionality.(1-3) ? If y varies directly as x, find the constant of variation K and the direct variation equation for each situation (4-6) ? If y varies inversely as x, find the constant of variation k

### If two (right) cosets share an element, then they are equal.

Let H be a subgroup of the group G. Prove that if two right cosets Ha and Hb are not disjoint, then Ha = Hb.

### Simplification of given expression

Simplify without negative exponents [ x y 5 / x -4 y 2 ] -2

### Simplifying Expression with Exponents

Simplify (- 2a2b3)2 / ( 2a2b)3 (- 2a^2*b^3)^2 / ( 2a^2*b)^3 .

### Mathematics - Algebra Sequences

Find the sum of Integers ... For each of the sequences below ... Find the sum of the infinite series ... (Questions attached in a doc file, please where possible explain and show method)