At the end of this lesson, student should be able to:
Recognize the general form for linear equations
Solve the linear equations
Recognize the general form for quadratic equations
Solve quadratic equations using the technique of factorization, quadratic formula and completing the square
Solve simultaneous equations for 2 x 2 systems using substitution and elimination methods
Identify the notation of inequalities and properties of inequalities
Express the solution in inequality notation, real number line, interval notation or sets notation
Solve linear inequalities
Identify the absolute value
Solve the absolute value equations
At the end of this lesson, student should be able to:
Recognize the general form for linear equations
Solve the linear equations
Recognize the general form for quadratic equations
Solve quadratic equations using the technique of factorization, quadratic formula and completing the square
Solve simultaneous equations for 2 x 2 systems using substitution and elimination methods
Identify the notation of inequalities and properties of inequalities
Express the solution in inequality notation, real number line, interval notation or sets notation
Solve linear inequalities
Identify the absolute value
Solve the absolute value equations
Identify basic properties of equations
Solve linear equations
Identify identities, conditional equations, and contradictions
Solve for a specific variable (literal 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
This is a PPT created and developed by Alankrit Wadhwa of Army Public School, Pune. He made this PPT with great effort and is credible for the same. I hope this PPT makes this chapter a lot more fun and easier to understand.
Identify basic properties of equations
Solve linear equations
Identify identities, conditional equations, and contradictions
Solve for a specific variable (literal 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
This is a PPT created and developed by Alankrit Wadhwa of Army Public School, Pune. He made this PPT with great effort and is credible for the same. I hope this PPT makes this chapter a lot more fun and easier to understand.
UiPath Test Automation using UiPath Test Suite series, part 3DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 3. In this session, we will cover desktop automation along with UI automation.
Topics covered:
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
Accelerate your Kubernetes clusters with Varnish CachingThijs Feryn
A presentation about the usage and availability of Varnish on Kubernetes. This talk explores the capabilities of Varnish caching and shows how to use the Varnish Helm chart to deploy it to Kubernetes.
This presentation was delivered at K8SUG Singapore. See https://feryn.eu/presentations/accelerate-your-kubernetes-clusters-with-varnish-caching-k8sug-singapore-28-2024 for more details.
GraphRAG is All You need? LLM & Knowledge GraphGuy Korland
Guy Korland, CEO and Co-founder of FalkorDB, will review two articles on the integration of language models with knowledge graphs.
1. Unifying Large Language Models and Knowledge Graphs: A Roadmap.
https://arxiv.org/abs/2306.08302
2. Microsoft Research's GraphRAG paper and a review paper on various uses of knowledge graphs:
https://www.microsoft.com/en-us/research/blog/graphrag-unlocking-llm-discovery-on-narrative-private-data/
Encryption in Microsoft 365 - ExpertsLive Netherlands 2024Albert Hoitingh
In this session I delve into the encryption technology used in Microsoft 365 and Microsoft Purview. Including the concepts of Customer Key and Double Key Encryption.
Securing your Kubernetes cluster_ a step-by-step guide to success !KatiaHIMEUR1
Today, after several years of existence, an extremely active community and an ultra-dynamic ecosystem, Kubernetes has established itself as the de facto standard in container orchestration. Thanks to a wide range of managed services, it has never been so easy to set up a ready-to-use Kubernetes cluster.
However, this ease of use means that the subject of security in Kubernetes is often left for later, or even neglected. This exposes companies to significant risks.
In this talk, I'll show you step-by-step how to secure your Kubernetes cluster for greater peace of mind and reliability.
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024Tobias Schneck
As AI technology is pushing into IT I was wondering myself, as an “infrastructure container kubernetes guy”, how get this fancy AI technology get managed from an infrastructure operational view? Is it possible to apply our lovely cloud native principals as well? What benefit’s both technologies could bring to each other?
Let me take this questions and provide you a short journey through existing deployment models and use cases for AI software. On practical examples, we discuss what cloud/on-premise strategy we may need for applying it to our own infrastructure to get it to work from an enterprise perspective. I want to give an overview about infrastructure requirements and technologies, what could be beneficial or limiting your AI use cases in an enterprise environment. An interactive Demo will give you some insides, what approaches I got already working for real.
GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...James Anderson
Effective Application Security in Software Delivery lifecycle using Deployment Firewall and DBOM
The modern software delivery process (or the CI/CD process) includes many tools, distributed teams, open-source code, and cloud platforms. Constant focus on speed to release software to market, along with the traditional slow and manual security checks has caused gaps in continuous security as an important piece in the software supply chain. Today organizations feel more susceptible to external and internal cyber threats due to the vast attack surface in their applications supply chain and the lack of end-to-end governance and risk management.
The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
Speakers:
Bob Boule
Robert Boule is a technology enthusiast with PASSION for technology and making things work along with a knack for helping others understand how things work. He comes with around 20 years of solution engineering experience in application security, software continuous delivery, and SaaS platforms. He is known for his dynamic presentations in CI/CD and application security integrated in software delivery lifecycle.
Gopinath Rebala
Gopinath Rebala is the CTO of OpsMx, where he has overall responsibility for the machine learning and data processing architectures for Secure Software Delivery. Gopi also has a strong connection with our customers, leading design and architecture for strategic implementations. Gopi is a frequent speaker and well-known leader in continuous delivery and integrating security into software delivery.
Connector Corner: Automate dynamic content and events by pushing a buttonDianaGray10
Here is something new! In our next Connector Corner webinar, we will demonstrate how you can use a single workflow to:
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
Join us to learn more about this new, human-in-the-loop capability, brought to you by Integration Service connectors.
And...
Speakers:
Akshay Agnihotri, Product Manager
Charlie Greenberg, Host
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
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:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
3. Final Exam Review:
Eliminate the ‘y’ by adding the two equations.Solve for x, plug back in to find y.
3. Three times the larger of two consecutive odd numbers is
five less that four times the smaller. Find the numbers.
This is from September, you should be able to solve!!
A) 8, 10 B) 15, 17 C) 21, 23 D) 11, 13 E) 8, 9
3(x + 2) = 4x – 5; 3x + 6 = 4x – 5; x = 11
4. Simplifying Rational Expressions
A Rational Expression as a fraction where the
numerator and the denominator are polynomials.
Ex. x²-y²
(x-y)²
To Simplify a rational expression:
1. Factor the numerator & denominator
2. Divide out any common factors
We are working with ratios. Fractions are a type of
ratio, where the part is compared to the whole. All
the rules of fractions still apply, including the
impossibility of zero as a denominator.
5. Simplifying Rational Expressions
Think about it. If the denominator, (the ‘whole’ part
of the fraction) is zero, how can there be a ‘part’ (the
numerator). You can’t have a part of nothing.
If the denominator is zero, there is no problem to
solve, since this is impossible. Therefore, excluded
values mean, “we can solve this problem as long as x
doesn’t make the denominator zero.”
6. Simplifying Rational Expressions
(x - y)(x + y)
(x - y)2
(x-y)² is equal to (x-y)(x-y) so we can
cancel out one of the (x-y)
To simplify we first factor the polynomials, then
cancel any common factors if possible.
x + y
x - y= Simple, yes?
7. Practice 1
3x2
- 4x
2x2
- x
Answer
3x – 4
2x - 1
3x2 - 4x x(3x - 4)
2x2 - x x(2x - 1)
==
Excluded Values: Pay attention and you’ll get it
In the above examples, the excluded values are 0,
𝟏
𝟐
.
Here’s why...
1. When we cancelled the x’s, we divided by x. Since
dividing by zero is undefined, x cannot be zero.
2. Set the denominator equal to zero, and solve for x.
You’ll get 1/2. If x is one-half, the denominator is zero
and you won’t have a problem to solve in the first
place. Thus, x cannot = 1/2
10. Practice 3
What is/are the excluded value(s) in this
expression?
x ≠ -6; division by zero.
x ≠ 6; undefined denominator
11. By now you can see that factoring is an often used
method for simplifying rational expressions.
Sometimes these factors are inverses (their product
= -1) of each other. In this case, you can manipulate
one or the other factor to simplify further.
**Doing this will change the sign of the resulting
fraction.
simplify x2
– 6x + 8
(4 – x)(x + 1)
(x - 4)(x – 2)
(4 – x)(x + 1)
(x - 4)(x – 2)
(4 – x)(x + 1)
(4 - x)(x – 2)
(4 – x)(x + 1)
=
(x – 2)
(x + 1)
12. OK? Good. Complete the class
work & submit tomorrow.
Last Practice; Simplify
2
2
4 4
4
x x
x
2 2
2 2
x x
x x
x 2
2 x