Many people may have heard of the quadratic formula, but are probably unfamiliar what it is or what it is used for. The actual quadratic formula is , and its purpose is to solve quadratic equations and can only be applied to a quadratic equation that is in the standard form of (ax2+ bx +c = 0).It is important to differentiate between a quadratic formula and a quadratic equation, where the quadratic formula is a tool, and the quadratic equation is specifically given to you for the purpose of solving it. When solving a quadratic equation, you are basically finding the roots of that specific equation. Those roots will tell you where the line on the graph touches or crosses the x – axis.…
The initial design of American tall office building is based on commercial and economy. It could be first easily identified from the transformation of the word that used to describe skyscraper. Tall office building was not original been called skyscraper. Actually, there is no commonly agreed name for tall office building at the very beginning. In John Wellborn Root’s essay, “A Great Architectural Problem”, he described tall office buildings in detail but didn’t give them a name at all. Later, people directly name them “business block” by their function. It became more literal when people started to call office building “commercial style”. 10 years later, the word “skyscraper” started to gain common acknowledge.…
This can be handy when you need to solve a quadratic equation in real life, and I could use it at work to find out the lowest price that certain steaks or roast can be sold at while the company is still making a nice profit to insure a raise in my…
III. Graphing from Standard Form by Completing The Square – Graph the following functions by completing the square to get vertex form…
Our assignment is to solve problem 103 on page 605, parts a and b, and problem 104 on page 606, both a and b, of our text book, Elementary and Intermediate Algebra. The assignment revolves around sail boat stability and speed. The formulas we will use can give you a good starting point in planning your craft and journey if used wisely. Knowing the restrictions of a ship’s stability and maximum speed is important in real world applications. It can be applied to the design of everyday sail boats and racing boats to ensure the safety of these craft. A formula along these lines can also be used for pleasure yachts, cruise ships, and cargo craft. Knowing the stability and speed of your craft is important to safety as you will know if the sea is rough if you can navigate it safely. This also applies to the aforementioned larger craft as they can decide whether to plot a course around heavy seas or proceed as originally scheduled. The speed of the craft can be used to determine how long it will take to reach your destination. Of course there will be many other variables that would need to be taken into account, like weight of cargo or anything else you may be carrying, but it will give you a good starting point for your journey.…
Since area is a square unit, often quadratic equations must be used to solve problems involving area. Draw a picture to model each problem. Solve each using any of the following methods: factoring, graphing, or tables. Show all work.…
25) For each pair of functions, label the pairs as equivalent, non-equivalent, or cannot be determined.…
Maximum profit. A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = −25x2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?…
0≤x≤1 zero is less than or equal to x is less than or equal to 1…
Kids in Danger website is value because it keeps parents as well as caregivers much needed information on recalls of certain things that are not safe for younger children. Kids in Danger website does have information on other website you can go to get more information about the product as well as numbers you can call. This website gave me a lot of information on crib bumpers pads and why they were recall. Due to an incident that happen in 2009 where 6-month-old Aiden died because of a crib bumper pad he rolled into and couldn’t get out. His grandmother who got kids in danger involved on the importance of crib safety and the danger of bumper pads told this story.…
Rational equations can be used to get a general idea about the rate at which a job can be completed. This can be really useful for business owners and other areas of daily life.…
We use algebra in many different ways. People who understand algebra find it easy, believe it or not. The people who struggle and suffer with it and learn to hate it are the ones trying to skip understanding and just memorize procedures. I will then give the person an example of what algebra is all about. Like this one about quadratic equations A popular example of a parabola in the real world is the trajectory of a ball in free flight. As you throw a ball, it first goes up and forward, then falls down while continuing to travel forward, thus forming an inverted parabola path. A parabolic motion also occurs when a basketball bounces on a hard floor. Another example is a baseball hit by a…
“…The math we learn in the classroom has no relation to the quantitative reasoning we need on the job.” (Hacker, 2) When will the average person actually need to use the quadratic equation? I know that I will never use it in any job I have, so what is the point to learning it? Algebra isn’t critical for day to day decisions.…
〖x 〗^2+( 〖4x 〗^2)/( 〖-4x 〗^2 )+ 16x + 16 = 〖4x〗^2/〖-4x 〗^2 + 24x + 36…
The hypothetical project of Tokyo sky city was outcome of various needs. The problems that the people were facing in Tokyo thereby giving the way to come up with new and innovation ideas in this era of 21st century.…