This document provides instructions on expanding brackets in algebra. It includes examples of expanding single-term and multi-term brackets such as 2(3n - 4) and 5(3a + 2b) - a(2 + 5b). The goal is to be able to multiply out the terms within brackets and then combine like terms. Students are provided examples and practice problems to expand brackets with one or more terms and potentially simplify the results.
Proportion and its types, mathematics 8Nazish Jamali
After this presentation students will be able to
Define proportion
Define types of proportion
Define compound proportion
+ Exercises
After this presentation students will be able to
Define proportion
Define types of proportion
Define compound proportion
+ Exercises
Proportion and its types, mathematics 8Nazish Jamali
After this presentation students will be able to
Define proportion
Define types of proportion
Define compound proportion
+ Exercises
After this presentation students will be able to
Define proportion
Define types of proportion
Define compound proportion
+ Exercises
Algebra is used in many field in many different ways to solve equation problems, and in business algebra is also used or in our day to day life it is also used. ... Algebra is a way of keeping track of unknown values, which can be used in equations.
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Algebra is used in many field in many different ways to solve equation problems, and in business algebra is also used or in our day to day life it is also used. ... Algebra is a way of keeping track of unknown values, which can be used in equations.
Enroll for FREE MCA TEST SERIES and FREE MCA MOCK TEST
For more details on MCA entrance and sure shot success,
Paste this link: http://www.tcyonline.com/india/mca_preparation.php
TCYonline
No. 1 Testing Platform
UiPath Test Automation using UiPath Test Suite series, part 3DianaGray10
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UI automation Introduction,
UI automation Sample
Desktop automation flow
Pradeep Chinnala, Senior Consultant Automation Developer @WonderBotz and UiPath MVP
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
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All of this illustrated with link prediction over knowledge graphs, but the argument is general.
Essentials of Automations: Optimizing FME Workflows with ParametersSafe Software
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Join us for an insightful dive into the world of FME parameters, a critical element in optimizing workflow efficiency. This webinar marks the beginning of our three-part “Essentials of Automation” series. This first webinar is designed to equip you with the knowledge and skills to utilize parameters effectively: enhancing the flexibility, maintainability, and user control of your FME projects.
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Don’t miss this opportunity to elevate your FME expertise and drive your projects to new heights of efficiency.
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Watch this recorded webinar about real-time monitoring of application performance. See how to integrate Apache JMeter, the open-source leader in performance testing, with InfluxDB, the open-source time-series database, and Grafana, the open-source analytics and visualization application.
In this webinar, we will review the benefits of leveraging InfluxDB and Grafana when executing load tests and demonstrate how these tools are used to visualize performance metrics.
Length: 30 minutes
Session Overview
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During this webinar, we will cover the following topics while demonstrating the integrations of JMeter, InfluxDB and Grafana:
- What out-of-the-box solutions are available for real-time monitoring JMeter tests?
- What are the benefits of integrating InfluxDB and Grafana into the load testing stack?
- Which features are provided by Grafana?
- Demonstration of InfluxDB and Grafana using a practice web application
To view the webinar recording, go to:
https://www.rttsweb.com/jmeter-integration-webinar
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...Jeffrey Haguewood
Sidekick Solutions uses Bonterra Impact Management (fka Social Solutions Apricot) and automation solutions to integrate data for business workflows.
We believe integration and automation are essential to user experience and the promise of efficient work through technology. Automation is the critical ingredient to realizing that full vision. We develop integration products and services for Bonterra Case Management software to support the deployment of automations for a variety of use cases.
This video focuses on the notifications, alerts, and approval requests using Slack for Bonterra Impact Management. The solutions covered in this webinar can also be deployed for Microsoft Teams.
Interested in deploying notification automations for Bonterra Impact Management? Contact us at sales@sidekicksolutionsllc.com to discuss next steps.
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Builder.ai Founder Sachin Dev Duggal's Strategic Approach to Create an Innova...Ramesh Iyer
In today's fast-changing business world, Companies that adapt and embrace new ideas often need help to keep up with the competition. However, fostering a culture of innovation takes much work. It takes vision, leadership and willingness to take risks in the right proportion. Sachin Dev Duggal, co-founder of Builder.ai, has perfected the art of this balance, creating a company culture where creativity and growth are nurtured at each stage.
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Create a campaign using Mailchimp with merge tags/fields
Send an interactive Slack channel message (using buttons)
Have the message received by managers and peers along with a test email for review
But there’s more:
In a second workflow supporting the same use case, you’ll see:
Your campaign sent to target colleagues for approval
If the “Approve” button is clicked, a Jira/Zendesk ticket is created for the marketing design team
But—if the “Reject” button is pushed, colleagues will be alerted via Slack message
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Charlie Greenberg, Host
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PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
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The Art of the Pitch: WordPress Relationships and SalesLaura Byrne
Clients don’t know what they don’t know. What web solutions are right for them? How does WordPress come into the picture? How do you make sure you understand scope and timeline? What do you do if sometime changes?
All these questions and more will be explored as we talk about matching clients’ needs with what your agency offers without pulling teeth or pulling your hair out. Practical tips, and strategies for successful relationship building that leads to closing the deal.
4. Starter 2
Multiply the following
1.
2.
3.
4.
5.
2a x 3b
3s x 4t
4d x 6d
3a x a x b
5y x 4z x y
5. L.O :
To be able expand brackets in algebra.
• 5(4t+5s)
5 (4t+5s) = 20t +25 s
6. L.O :
To be able expand brackets in algebra.
• 3(2d-3e)
3 (2d-3e) = 6d -9e
7. L.O :
To be able expand brackets in algebra.
• 7a(2b-3c)
7a (2b-3c) = 14ab -21ac
8. L.O :
To be able expand brackets in algebra.
Expand the following
brackets
1.
2.
3.
4.
5.
4(2a+4)
5(3b-c)
3(4b-2c)
6(3h-4k)
8( 3r-2q-s)
Answer
1.
2.
3.
4.
5.
8a+16
15b-5c
12b-6c
18h-24k
24r-16q-8s
9. Expanding brackets and
simplifying
Expand and simplify: 2(3n – 4) + 3(3n + 5)
We need to multiply out both brackets and collect together
like terms.
2(3n – 4) + 3(3n + 5) = 6n – 8 + 9n + 15
= 6n + 9n – 8 + 15
= 15n + 7
10. Merit Question 5 Minutes
Expand and simplify: 5(3a + 2b) – a(2 + 5b)
We need to multiply out both brackets and collect together
like terms.
5(3a + 2b) – a(2 + 5b) = 15a + 10b – 2a – 5ab
= 15a – 2a + 10b – 5ab
= 13a + 10b – 5ab
11. Plenary
Expand the following brackets, write your answer using the
mini white board.
• 2( 3y+3)
6y+6
• 3(5t-2q)
15t-6q
• 5(p-2r)
5p-10r
• 3s(2t-u-4v)
6st-3su-12sv
• 8a(3d+2e-5f)
24ad+16ae-40af
Editor's Notes
In this example, we have two sets of brackets. The first set is multiplied by 2 and the second set is multiplied by 3.
We don’t need to use a grid as long as we remember to multiply every term inside the bracket by every term outside it.
Talk through the multiplication of (3n – 4) by 2 and (3n + 5) by 3.
Let’s write the like terms next to each other.
When we collect the like terms together we have 6n + 9n which is 15n and –8 + 15 = 7.
Here is another example with two sets of brackets. The first set is multiplied by 5 and the second set is multiplied by minus a.
Talk through the multiplication of (3a + 2b) by 5.
Next we need to multiply (2 + 5b) by –a. Talk through this.