Thus, we can factorise the terms as: (x+4)(x-1) = 0. Hence, we write x 2 + 3x – 4 = 0 as x 2 + 4x – x – 4 = 0. Consider (+4) and (-1) as the factors, whose multiplication is -4 and sum is 3. We do it such that the product of the new coefficients equals the product of a and c. Next, the middle term is split into two terms. Solution: This method is also known as splitting the middle term method. Examples of FactorizationĮxample 1: Solve the equation: x 2 + 3x – 4 = 0 Let’s see an example and we will get to know more about it. Hence, from these equations, we get the value of x. These factors, if done correctly will give two linear equations in x. Certain quadratic equations can be factorised. The first and simplest method of solving quadratic equations is the factorization method. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. We recommend using aĪuthors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission. Together you can come up with a plan to get you the help you need. See your instructor as soon as you can to discuss your situation. ![]() You should get help right away or you will quickly be overwhelmed. …no-I don’t get it! This is a warning sign and you must not ignore it. ![]() Is there a place on campus where math tutors are available? Can your study skills be improved? Whom can you ask for help? Your fellow classmates and instructor are good resources. It is important to make sure you have a strong foundation before you move on. In math, every topic builds upon previous work. …with some help: This must be addressed quickly because topics you do not master become potholes in your road to success. ![]() What did you do to become confident of your ability to do these things? Be specific. Reflect on the study skills you used so that you can continue to use them. …confidently: Congratulations! You have achieved the objectives in this section. ![]() Ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section. We defined the square root of a number in this way:Įxplain why the equation y 2 + 8 = 12 y 2 + 8 = 12 has two solutions. These equations are all of the form x 2 = k x 2 = k. But what happens when we have an equation like x 2 = 7 x 2 = 7? Since 7 is not a perfect square, we cannot solve the equation by factoring. We can easily use factoring to find the solutions of similar equations, like x 2 = 16 x 2 = 16 and x 2 = 25 x 2 = 25, because 16 and 25 are perfect squares. x = ± 3 (The solution is read ‘ x is equal to positive or negative 3.’) x = 3, x = −3 Combine the two solutions into ± form. ( x − 3 ) = 0, ( x + 3 ) = 0 Solve each equation. ( x − 3 ) ( x + 3 ) = 0 Use the Zero Product Property. x = ± 3 (The solution is read ‘ x is equal to positive or negative 3.’) x 2 = 9 Put the equation in standard form. X 2 = 9 Put the equation in standard form.
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1B-AP-08: Compare and refine multiple algorithms for the same task and determine which is the most appropriate.Create and implement multiple forms of assessment and use resulting data to capture student learning, provide remediation and shape classroom instruction Design and implement developmentally appropriate learning opportunities supporting the diverse needs of all learners ![]() Identify problematic concepts and constructs in computer science and appropriate strategies to address them Develop lessons and methods that engage and empower learners from diverse cultural and linguistic backgrounds Design activities that require students to effectively describe computing artifacts and communicate results using multiple forms of media Demonstrate the use of a variety of collaborative groupings in lesson plans/units and assessments Select a variety of real-world computing problems and project-based methodologies that support active and authentic learning and provide opportunities for creative and innovative thinking and problem solving ![]() 2a: Plan and teach computer science lessons/units using effective and engaging practices and methodologies:.4b: Design authentic learning activities that ask students to leverage a design process to solve problems with awareness of technical and human constraints and defend their design choices.5d: Students understand how automation works and use algorithmic thinking to develop a sequence of steps to create and test automated solutions.ĮDUCATOR: COMPUTATIONAL THINKING COMPETENCIES:.5c: Students break problems into component parts, extract key information, and develop descriptive models to understand complex systems or facilitate problem-solving. ![]()
![]() The light bulb on your LiftMaster garage door opener will blink, and you might hear a click. ![]() Head back to the keypad outside the garage.You have 30 seconds to enter a new code on the keypad. While your neighbors may not necessarily enter your home, you don’t want them to open your garage door without authorization. That means they can open your garage door whenever they operate their remote. Once you press the Learn button, anyone using their garage door remote within a certain range may accidentally program your garage door opener with their remote. You don’t need a ladder if your LiftMaster operating unit features a wall control panel.īefore you press the Learn button, ensure that none of your neighbors are using their garage door remotes. Climb a stepladder to access the control panel of your overhead door opener.That means you have to clear the stored code to reset your keypad. The Learn button on your garage door opener or LiftMaster wall control panel stores your security pin or code. Whatever your reason for resetting your LiftMaster garage door keypad, here are the steps to complete this task with ease: Step 1: Locate the Learn Button How to Reset a LiftMaster Garage Door Keypad Consider resetting your garage door keypad and safeguarding your remote control. There is suspicious activity in your neighborhood: If one or more neighbors report suspicious activities around their homes, there might be a potential intruder on the prowl.Make sure to choose a random, hard-to-guess code to deter intruders. Intruders can easily guess keypad codes that include your address, birthday, or numbers in a series. Quickly reset your keypad pin if you suspect someone has access to your garage without authorization. If someone else knows your access code, they can easily enter your home through your garage when no one is home. You think someone knows your code: No one else should know your keyless entry code besides you and your family.This ensures they are ruled out in case of a future intrusion. A tenant moves out of your home: It is advisable to reset your garage door keypad if a tenant moves away from your home, whether or not you think they know your access code.You can’t remember your old code: If you have trouble remembering your access code, consider resetting it to something you can easily remember.You just moved to a new home: Reset the garage door code if you recently moved into a new home to ensure only you and your family know the new access code.If you’re wondering why it is critical to reset your keypad, consider the following reasons. Resetting your garage door keypad is a vital security step you must take to keep your home safe at all times. Wondering how to reset your LiftMaster garage door keypad? This article shows you step-by-step instructions on how to do just that.īefore we get to it, let’s discuss why you should reset your garage door keypad. As of 2016 there are 78 locations across 8 states. The company has its headquarters in Redding, California. In fact, every location of the Black Bear Diner includes a 12-foot-tall carving of a black bear by artist Ray Schulz waiting to greet customers. Shasta in California and opened in 1994 by husband and wife team Bob and Laurie Manley and Bruce Dean.įrom the start the rustic décor focused on artwork and carvings of Bears. The first Black Bear Diner was located at the base of Mt. Made with real cream, eggs and vanilla and then finished with a pecan praline sauce that will knock your socks off. This warm from scratch baked dessert will remind of your grandma. Olga’s Bread PuddingĮven though the portions are large at Black Bear Diner, save some room for desert. A classic combination with baked cinnamon apples for $13.99. Tender pork cutlets are served with your choice of side dishes. This is a fantastic comfort food favorite on the menu at Black Bear Diner. We recommend the kettle-style Parmesan chips for $10.49. Have it with your choice of great side options. It includes grilled chicken instead of the traditional cold cut turkey and fresh avocado for a creamy and fresh addition to a classic. Here is a twist on the traditional club sandwich. Have it finished with grilled chicken for $10.49. Fried wontons and cashews add crunch and the sweet and savory Asian style dressing adds zing. Shredded cabbage, cucumber and carrot is spiced with chopped fresh cilantro. Salad lovers will appreciate the complex flavors developed in this salad. It starts with a generous portion of Chicken Fried Steak smothered in gravy and served with 3 eggs and a choice of side for $12.99. If you love a giant breakfast, here is a feast you won’t soon forget. We love the Portuguese Linguica Sausage if you are looking for something new to try. It includes 2 eggs done any way you like, your choice of meat, and choice of red potatoes, hash browns or a biscuit made fresh in-house. This is a very popular breakfast combo at the Black Bear Diner. Here are a few of our favorites from the menu for you to check out: 2-Egg Combo ![]() Make sure you save room for some warm cobbler or bread pudding, made in house to old time standards of tasty goodness. Kids will appreciate the Cubs menu full of kid friendly foods and prices. There are some lighter options for those seeking out some waist friendly options in the salads and sandwiches part of the menu. The menu at Black Bear Diner is focused on great homestyle favorites for any time of day. ![]() ![]() Order a Cubs' Meal after 11 AM & receive a Free Cubs' Sundae. Black Bear Diner, Mount Shasta: See 592 unbiased reviews of Black Bear Diner, rated 4 of 5 on Tripadvisor and ranked 2 of 35 restaurants in Mount Shasta. 1 Biscuit & Country Gravy with 2 slices of bacon ![]() What types of injuries are caused by seat belts? In both systems, the belt is tightened at the moment of impact to prevent the belted person from being thrown against the inside of the car – or thrown out of the car and onto the ground. Belt-activated – Any time there is a sudden jerk of the belt, a mechanism is activated that catches the toothed gear, preventing the spool from spinning.This prevents the spool from moving and the belt holds the person closely to the seat. If the car stops suddenly, a weighted pendulum swings forward, pushing a mechanism into the gear. Car-activated – There is a toothed ratchet gear attached to the seat belt spool.This change in momentum activates the locking mechanism of the seat belt. Understanding how seat belts workĪ car’s motion and speed change quickly in a collision. ![]() These injuries can have a significant impact on the lives of victims. The force of impact during a collision can result in a transfer of energy through the seat belt into the victim’s body. And it’s why the state participates in the annual “Click It or Ticket” campaign to get more people to buckle up.īut while seat belts do save lives, they can also leave people with significant injuries. That’s why it’s the law in Texas for drivers and passengers to wear them. It’s been proven again and again that seat belts work. Seatbelts save lives in car accidents every year. Home > Articles > Seat Belt Injuries in Car Accidents What to Know About Seat Belt Injuries in Car Accidents Houston lawyers who are ready to fight for your rights ![]() Note: There are two buttons that confuse many users as Remove and Delete. Alternatively, you can change the method of deleting usage data. 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Secure Eraser is a suite of software that not only functions as a file deletion program, but also cleans the registry.ĭata deletion method : DoD 5220.22-M, Gutmann, Random Data, VSITR Freeaser works on Windows 10 to Windows XP. When running the Freeraser installation file, you can choose to install it under a standard program or run it as a portable program that can be used on a portable hard drive. Like Securely File Shredder, it places an icon like the Recycle Bin on the desktop so you can delete files by dragging a file or group of files to the trash and they will be permanently deleted from your computer.ĭata deletion method : DoD 5220.22-M, Gutmann, Random Data WipeFile works on Windows 10, 8.7, Vista and XP.įreeraser is an extremely easy to use file deletion tool. ![]() WipeFile can also overwrite data with custom text, log log files and is set to work with the ' Send to ' context menu in Windows Explorer. 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Let’s break down how to perform a one-sample t-test in Excel, a fundamental technique in statistical analysis. Independent t-test syntax: =T.TEST(array\_1, array\_2, 2, 3).One-sample t-test syntax: =T.TEST(known\_data, x, 2, 1) for a one-tailed test or =T.TEST(known\_data, x, 2, 2) for a two-tailed test.You can follow the sample syntax specific to each type of t-test as per your requirements. Use the T.TEST function to calculate the p-value for the respective t-test (one-sample, independent, or paired).Arrange your sample data in the Excel worksheet.Next, we explore the process of conducting a t-test in Excel, a crucial step in hypothesis testing. type: An optional argument that specifies the type of t-test to be performed (1 for paired, 2 for two-sample with equal variance, and 3 for two-sample with unequal variance).tails: A numerical value indicating the number of tails for the distribution (1 for one-tailed test, 2 for two-tailed test). ![]() x: The value corresponding to the sample mean to be tested against the population mean.known\_data: The array or range containing the sample data.T.TEST(known\_data, x, tails, type): Returns the two-tailed t-distribution probability given a sample and a constant.It is used for two-tailed hypothesis testing and returns the probability associated with a t-value from a t-distribution. The T.TEST function is a built-in Excel statistical function that calculates the p-value for a given sample. Paired t-test: Compares the means of two related (paired) groups.Independent (or unpaired) t-test: Compares the means of two unrelated (independent) groups.One-sample t-test: Compares the mean of a sample to a known value or hypothesized mean of the population.There are three main types of t-tests in Excel: T-tests are a family of statistical tests used to infer the population mean of a certain characteristic from a sample. These include the T.subtract, T.dist, T.test, ChiSq.test, and ANOVA. There are various functions and methods in Excel that will help you calculate p-values. Now, let’s delve into how to effectively calculate p-values using Excel’s various functions and methods. In other words, a low p-value indicates strong evidence against the null hypothesis, while a high p-value fails to provide strong evidence against it. On the other hand, if the p-value is more significant than the significance level, you fail to reject the null hypothesis. If the p-value is less than or equal to the significance level, you reject the null hypothesis in favor of the alternative hypothesis. In hypothesis testing, you typically set a significance level, usually denoted as alpha ($\alpha$), a threshold for the p-value. P-value: This is the probability of observing your data or something more extreme if the null hypothesis is true.It states that there is a significant difference or effect. Alternative hypothesis ($H_1$): This is the opposite of the null hypothesis.If you are trying to determine if there’s an effect from a treatment, the null hypothesis might state that the treatment has no effect. Null hypothesis ($H_0$): This statement asserts no significant population parameter or distribution difference.This process involves formulating a null hypothesis ($H_0$) and an alternative hypothesis ($H_1$). Hypothesis testing: In statistics, researchers test whether their results are due to true treatment effects or mere chance.To understand this concept, let’s break down the different components. Is It Possible to Perform Hypothesis Testing for Large Data Sets in Excel?Ī p-value provides a measure of the evidence against a null hypothesis. ![]()
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