Long Term Sustainability Search Results

How To: Multiply binomials with the FOIL method

Multiplying polynomials is a distributive property. If you are given with two binomials and asked to multiply them, you need to apply the distributive property and multiply the terms of binomial with the terms of second binomial. To do this first take a term of first binomial and multiply it with the second complete binomial. Now take the second term of first binomial and multiply it with the second binomial adding or subtracting it from the previous result depending on the sign between the f...

How To: Simplify radical expressions

In this video the instructor shows who to simplify radicals. If you have a term inside a square root the first thing you need to do is try to factorize it. First factorize the numerical term. Write down the numerical terms as a product of any perfect squares. Now split the original radical expression in the form of individual terms of different variables. Now you can pull out the perfect square numerical factors out of the radical. Similarly for the variable terms write the variables as power...

How To: Know the best age for the first committed relationship

Dan and Jennifer discuss the best age for your first committed relationship. People in their mid-teens are too young to be in a long distance relationship, a committed relationship or any kind of serious relationship. People aren't ready for serious, committed relationships until they're in their late twenties. At that age, people's bodies are finished growing, their brains are finished developing and they're more emotionally mature. People in their late twenties know what they want and who t...

How To: Complete the square and solve the quadratic equation

In order to solve a quadratic equation by completing the square, take a quadratic equation and make sure that the coefficient of the first squared term in one. If it is not factor it by pulling the term out to get it to one. Now just write down the first two terms in side a bracket and after it add the third term. Now take the coefficient of the x term and take one half of it and square it and put that number back into the bracket. Now as you added a new number, to cancel it out subtract it f...

News: Why does stress occur?

Stress happens because is part of being alive. We all experiences stress even our pets. Stress is there to keep us alert; there are two main types of stress short-term stress and long-term stress. Short term could be (example) when there is a fire you flight or fight response will turn on. You will either stay there of look for your safety. A long-term stress could be the stress that you might deal with a lot of the time from work to your home. It is the complex problems that it seems you can...

How To: Factor polynomials by grouping

A factoring problem that has to be solved by grouping is easy to identify, because you can always identify if there are any similar terms in a polynomial. Now, if you find any variable common in any terms pull them out as the common leaving the rest of the terms. After pulling out the common terms you can group the rest of the polynomial. Be careful while pulling out signs. Pulling out a positive number does not effect the signs of terms in the polynomial, where as pulling out a negative numb...

How To: Factor trinomials

In this video, the instructor shows how to factor trinomials. An equation is a trinomial if it has three terms. If you factor a trinomial, you are left with two binomials which are the factors of the original trinomial. Multiplying them would result in the original trinomial. Now factor the last numerical term such that the sum or difference of those factors gives you the numerical coefficient of the middle term. Now split the middle term according to the factors obtained in the previous term...

How To: Solve a quadratic equation

In this video the instructor shows how to solve a quadratic equation. If you have a quadratic equation with complex fractional terms and you find that a particular term is repeating then equate that term to a new variable and replace the variable in the given equation. Now try to get the equation a*x*x + b*x + c = 0, and solve for the roots of the equation which gives the values of the intermediate variable. But this variable was replaced instead of another term. So equate that term to the va...

How To: Factor a trinomial, find the GCF, then group

This lesson describes the method to find the factors of a trinomial, which consists of three terms, by grouping. First of all, factor out the greatest common factor (GCF), and write the reduced trinomial in parentheses. Let the terms of the trinomial be written in order of exponent of the variable. For example, 3(3X2+2X-8) trinomial is written in the order of variable, with 3(GCF) factored out. Now identify the coefficient of the first and last terms, for example in this case, it is 3 and 8. ...

How To: Start your term paper research

Katherine Miller teaches the secrets of starting your term paper research by using concept mapping method. Use a large sheet of paper and a marker to map out our ideas. First take an example like "Succeeding at college and grades" and write down the factors affecting your goal. The most common factor is money, now write down the things that has an impact on money like jobs, business and loans. The other factors are outside life, health, places for help and study habits. Simultaneously write i...

How To: Write a logarithm as a sum or difference of logarithms

This video shows the method to write a logarithm as a sum or difference of logarithms. The square root of the term given is taken out as half according to the rule. Then the numerator and denominator is divided into product of factors. This is broken into the difference of numerator and denominator according to the rule. Finally, the product of factors is expressed as the sum of factors. Now we see the domain of the term. As the term is a square root of the term it should be greater than zero...

How To: Multiply rational expressions

The video describes the basic process of multiplying two rational expressions. The problem illustrated in this video involved multiplying rational expressions of monomial terms with integer coefficients. As with the other example problems, we follow the steps of: factoring, canceling, and multiplying. Because these terms are monomials, no factoring is required (but we still state it as a step for similarity to solving other problems). We then find the greatest common divisor for both terms to...

How To: Factor a trinomial by GCF then grouping

In this tutorial the instructor shows how to factor a trinomial with Greatest Common Factor (GCF) and then how to group it. The first thing you have to do when you want to factor a trinomial is look for the GCF. First factor the numerical coefficients of the terms of the equation. Now separate out the common numerical factor and if any common variable. This leaves you with a binomial to be factored. Now to solve this multiply the numerical coefficients of the first term and the last term and ...

How To: Calculate liquidity ratios in Microsoft Excel 2010

As you might guess, one of the domains in which Microsoft Excel really excels is finance math. Brush up on the stuff for your next or current job with this how-to. In this tutorial from everyone's favorite digital spreadsheet guru, YouTube's ExcelIsFun, the 16th installment in his "Excel Finance Class" series of free video lessons, you'll learn how to calculate liquidity ratios including current ratio, times interest earned and cash Ratio. Also see how current ratio changes when certain trans...

How To: Solve complex indefinite integrals in calculus

In this video the math teacher explains the meaning of the indefinite integral formula in calculus by stating it in terms of antiderivatives. He then shows in general terms how this indefinite integral formula has a related derivative formula, i.e. if the derivative of F(x) is f(x) then the indefinite integral of f(x) is F(x) plus a constant term (C). With this general relationship the teacher takes us through three related examples where he converts a derivative formula to an integral formul...

How To: Factor and collect like terms

In this video, the instructor shows how to collect like terms and factorize. When you are given a linear equation, the first thing you do is to try to organize it. Pair up the like terms. Add the numerical coefficients of terms with the same variables. This is called collecting the like terms. In case you see any common factor across all the terms, pull it out and tag it to the parenthesis. In this way, you can factorize the equation. Next, bunch together your like terms and sum them up. The ...

How To: Make a bicycle rack out of repurposed closet racks

Danny Lipford and Joe demonstrate how to make a bicycle rack out of repurposed closet racks. Closet brackets can be used to store bicycles. Instead of hanging the bicycle on the ceiling for long term storage, fasten closet brackets to your garage wall to more practically easily access your bicycles on an everyday basis. First, drive drywall screws into the wall studs. Space the brackets about 16 inches apart. Hang the bike right on its crossbar from the brackets. This method only works with b...

How To: Make a hamburger meatloaf

Do you like hamburgers, but feel that hamburgers at restaurants are too unhealthy and not a long term solution to your cravings? Well, this video is your solution. In just 10 minutes, viewers will be taught how to make their very own hamburger meatloaf. Using nothing but basic and simple techniques, the viewers could have tasty and healthy hamburgers in no time. Highly recommended to any person who likes to cook, enjoys a healthy lifestyle and most of all, likes hamburgers.

How To: Solve multi-step and compound inequalities

Multi-Step inequalities are inequalities which take more than one step in solving them. You need to follow a step by step approach in solving these kind of problems. Through there is no general method to solve them you can follow a set of guidelines. First thing you have to do is make sure that only x terms remain on the left hand side of the equation. If there are any other numerical terms add the negative of that term to both the sides of the equation to eliminate it on the left hand side. ...

How To: Factor a trinomial with negative leading coefficient

In this video the instructor shows how to factor a trinomial with negative leading coefficient. Most of the students are confused when they have to factor a trinomial with a negative leading coefficient. But there are many ways to solve these kind of problems as shown in this video. One way you can do is that take out the greatest common factor (GCF) of -1 from the equation. So pulling the -1 gives you the original trinomial with all the signs of the terms changed. Now go on and factor the ne...

How To: Factor a trinomial with a negative in front

This video shows the method to factor a trinomial with a negative sign in the front. The first step is to make the first term positive. This is done by taking the negative sign out. Then we see the middle term of the trinomial. The coefficient of the middle term is a positive one in the example shown. We have to group the coefficient of the first and third term in a way so that the difference is positive one. The appropriate combination is chosen so that this becomes true. In this way the tri...

How To: Divide rational expressions containing trinomials

In this video the instructor shows how to divide rational expressions that contain trinomials. A division containing two fractions can always be turned into a multiplication by multiplying the first fraction by the reciprocal of the second fraction. This way any division can be turned into a multiplication problem and solved easily. Now after you convert the division into multiplication factorize the equations. Now you can factorize the equations by splitting the middle term and grouping it i...

How To: Solve logarithmic equations

In this video the instructor shows how to solve logarithmic equations. To solve a logarithmic equation, the first thing you have to do is try to get one logarithmic term if possible. To subtract two logarithmic terms use the formula Log (a) – Log (b) = Log (a/b). Now to get rid of logs, perform exponentiation of the base. Exponentiation of the base is raising a number to the power of the logarithmic term where the number is the base of the logarithmic term. Here the value turns out to be the ...

How To: Add & subtract monomials in polynomials

In this video the tutor shows how to add and subtract monomials. He says that to add or subtract monomials they have to be similar terms. Similar terms are those that have same variables and equal exponents to the variables. He shows how to do this using illustrative diagrams and solves a couple of sample problems. He adds a few monomials with similar terms and also explains how to subtract a few monomials. This video gives an introduction to similar terms and how to add and subtract monomials.

How To: Apply the distributive property

The distributive property is a very important factor to consider in math and may save you a lot of trouble on your math homework. For values which lie right outside parentheses, you will need to distribute this value across the contents of whatever is inside the parentheses. You will need to multiply the value outside of the parentheses by first the first term inside the parentheses and then by the following terms inside the parentheses, distributing the value across all the terms found insid...

How To: Find the 100th term in a sequence

Need to find the nth term in a given arithmetic sequence? See how it's done with this free video math lesson. Need help finding the From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's seri...

How To: Make Money Online by File Sharing

When I was unemployed I looked for different ways to make money. Most of that work was connected with online stuff; I’ve tried writing content, refreshed my old Photoshop skills and even created postcards, but then I realized that my passion to music can bring me more money than all of the other work. I was an active member of a few musical forums and started to add affiliate links to my posts instead of simple ones, so they can be profitable.