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Basic Algebra

Binomials, Zero-Product property, and quadratic equations

How can you tell if a binomial is a difference of two perfect squares? Explain the process of factoring a difference of two perfect squares. Give an example. Explain the zero-product property. Give a simple example of its use. How is this property used to solve a quadratic equation? Give an example.

Method for Factorization of an Algebraic Expression

Hello, please help with: A. I would like you to look at the variables, and find the GCF of the variables, place those letters next to the GCF of the coefficients outside of your parenthesis. Complete the last step of the problem, and display the factored form of the expression, and provide a check, to prove your answer is

Factoring a Quadratic Trinomial Over the Integers

13y + 30 + y^2 Write out all steps as shown in below example. Factoring ax^2 + bx + c with a = 1.

The Amount Of An Investment

The amount of an investment of P dollars for t years at simple interest rate of r is given by A=P + Prt. a. Rewrite this formula by factoring out the greatest common factor on the right-hand side. b. Find A if \$8300 is invested for 3 years at a simple interest rate of 15%.

Three Basic Algebra Problems

Section 4.1 Question #62 - Simplify. Assume that no denominator is 0 and that 00 is not considered (x25)6 Section 4.2 Question number 12 - Express using positive exponents. Then, if possible, simplify a −3 b

Math Problems Quotients

Help with the following problems. Please work the problem out. Thank you 1. Simplify -5y^4(y^5)^2 15y^7(y^2)^3 2. Parenthesis is around the whole problem. (3^3)^2 3 3. Simplify w^-4 w^6 4. Simplify * Parenthesis is around the whole problem* (2s^-1t^3)^-3 6s^2t^-4 5. Write in standard notation. 9.3 x 10

Algebra complex zeros

1) Factor the polynomial completely. P(x) = x^2 + 9 P(x) = Find all its zeros. State the multiplicity of each zero. (If an answer does not exist, enter DNE.) real zero x=______ with multiplicity______ complex zero x=_______(positive imaginary part) with multiplicity ____ co

Factor Out - Algebra Complex Zeros

1) A polynomial P is given. P(x) = x^4 + 49x^2 (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. If a root has multiplicity greater than one, only enter the root once.) x = (b) Factor P completely. P(x) = 2) A polynomial P is given. P(x) = x^3 â?' 10x^2 + 50x (a) Find all zer

Finding rational zeros and factoring polynomials

1) Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. If a zero has multiplicity greater than one, only enter the root once.) P(x) = x^3 â?' 6x^2 + 11x â?' 6 x= Write the polynomial in factored form. P(x) = 2) Find all rational zeros of the polynomial. (Enter your answers as a c

Algebra Assignment

1. From the graph below, state the coordinates of the point at which the two lines intersect (Note to my BrainMass pal, if you are not able to read the numbers, they are ) Down: 7, 6, 5, 4, 3, 2, 1, 0 Across the numbers are - 6 -4 -2 -1 0 2, 4, 6, 2. Solve using the substitution metho

Topoogical equivalence of an open interval and the real line

Prove that the open interval (-pi/2,pi/2) considered as a subspace of the real number system, topologically equivalent to the real number system. Prove that any two open intervals, considered as subspaces of the real number system, are topologically equivalent. Prove that any open interval, considered as a subspace of the r

Laws of Exponents

Post a 200- 300 word response to the following: Explain the rules of exponents and provide one example of each: Multiplying Monomials: Product of Powers Power of Power Power of a Product Dividing Monomials: Quotient of Powers Power of a Quotient Please help.

Algebraic Properties of Functions

1 and 2 can have multiple answers 1) Which of the given functions is a one-to-one function? Select all that apply g(x)=2sqrt(x+5) g(x)=5x^2-2 h(x)=x^4+5 f(x)=Abs(x) f(x)=-5x+2 2) Which of the given functions is a one-to-one function? Select all that apply g(x)=3sqrt(x) f(x)=-2x+3 g(x)=2x^2-3x f(x)=1/x h(

Need help on this problem

Show the total cost expression and calculate the EOQ for an item with holding cost rate 18%, unit cost \$8.00, annual demand of 40000, and ordering cost of \$48.

Math problem

Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2015. Solve the prob

Math problem

Part 1: Using the Library, web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 60 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mile

Math problem

Library Assignment Part 1: Using the Library, web resources, and/or other materials, find a record-breaking temperature (in degrees Celsius) for a town or city in a country other than the United States. Include the name of the town and country along with the temperature, and what record was broken. Give the formula for conver

Polynomial factoring, zeros and end behavior

1) Factor the polynomial and use the factored form to find the zeros. P(x) = x^3 â?' x^2 â?' 72x x = (smallest value) x = x = (largest value) 2) Factor the polynomial and use the factored form to find the zeros. P(x) = x^4 â?' 3x^3 + 2x^2 x = (smallest value) x = x = x = (largest value)

Change of Subject formula and Equation of motion

The magnitude (size) of the force, F, between two masses a distance r apart is given by the equation F equals (G times m subscript 1 times m subscript 2) over (r squared) Where G is a constant. Rearrange this equation to make G the subject. A ball is thrown vertically upwards into the air with a speed of8.5 m s-1.Assu

Find the sum of the two 3-digit integers.

A six-digit integer is formed by placing two 3-digit integers side by side. If the larger of the two integers is placed ahead of the smaller integer, the number formed is six times greater than if the smaller integer is placed ahead of the larger one. What is the sum of the two 3-digit integers?

Mike's integer and maintaining order

Kelsey writes A 6-digit integer. Mike copies the integer but places the units digit first, maintaining the order of the remaining five, (ex. 123,456 becomes 612,345). If Mike's integer is 5 times as Kelseys, what is Mike's integer?

Estimation of Maximum Number

A student read about Volkswagen-packing in the 1960s. She was interested in knowing the maximum number of students that fit into a Volkswagen. How might you help her estimate an answer in a reasonable way?

Integer or as a fraction

1.Evaluate the expression C (square) + 8c +2 When C=5 2. Simplify 11w - 12w 3. evaluate the expression below write each response as an integer or as a fraction (-2)square = (5/3)square = 4. Evaluate the expression below write each response as an integer or as a fraction. (-2) square and (5/3) square

Calculating Time Until Equal Cost

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a \$27 one-time activation fee and charges 12 cents a minute. The second plan has no activation fee and charges 16 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?

Sample Size: Assessing Honesty of Test taker

A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you are interested in the mean score, mu, on this subsection among the general population. You decide that you will use the mean of a random sample of scores on this subsection to estimate mu. What is the minimum sample size need

Create table giving the joint p.m.f of T and U.

X and Y are independent identically distributed binary random variables. Each has P(+1) = 1/2 and P(-1) = 1/2. Find T = XY and U = X + Y. 1. Create table giving the joint p.m.f of T and U. 2. Find E(T), E(U), and Cov(T,U). 3. Are T and U independent?

Reimann integrability using analysis

I want to show that lim as a goes to 0, of the integral from a to Pi of sin (nx)/ nx dx= integral from 0 to Pi of f_n(x) dx, where f_n(x) = 1 when x=0 and f_n(x) = sin( nx)/nx when x does not equal zero. This is equivalent to showing that for |a|<delta, we can find integral from a to Pi of sin (nx)/ nx dx - integral from 0

Sigma Algebra and Inverse Imaging

Let f : X -> Y be any function. Let sigma (Y ) be a sigma-algebra on Y . Show that {f −1 (B ) : B E sigma (Y )} is a sigma-algebra on X. f −1 (B ) is the inverse image of B , that is {x : f (x) E B }. Where E represents the 'belongs to' symbol.

Exponential & Logarithmic Functions

The problems below follow closely the examples shown in the background materials. Complete these problems showing your work and turn them in by the end of the Module. 1. Convert the following equations into logarithmic form: a. 2 = 6x b. 7 = 6y c. 9 = 3y d. X = 8y 2. Convert the followi