Algebra Class on Equations and Limits
5 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the solution for the equations x+y-4=0 and x^2-y-8=0?

  • x = -4, y = -8
  • x = 3, y = -1 (correct)
  • x = -4, y = 8
  • x = 3, y = 1

As x approaches infinity, what is the limit of the expression x^2 + 1/x?

  • Infinity (correct)
  • 2.5
  • 0
  • 1

What are the values of x that satisfy the equations y + 3x = 14 and x^2 - y = 14?

  • x = 4, y = 2
  • x = -7, y = -14 (correct)
  • x = -7, y = 21
  • x = 4, y = -3

What is the limit of the expression 5x + 1 / (10 + x) as x approaches infinity?

<p>2.5 (D)</p> Signup and view all the answers

Which pair of values solves the equations 2x - y = 7 and x^2 + y - 8 = 0?

<p>x = -5, y = -1 (B)</p> Signup and view all the answers

Study Notes

Systems of Equations Solutions

  • System 1: ( x + y - 4 = 0 ) and ( x^2 - y - 8 = 0 )

    • Solutions: ( x = 3 ) and ( x = -4 )
  • System 2: ( 2x - y = 7 ) and ( x^2 + y - 8 = 0 )

    • Solutions: ( x = -5 ) and ( x = 3 )
  • System 3: ( y + 3x = 14 ) and ( x^2 - y = 14 )

    • Solutions: ( x = -7 ) and ( x = 4 )

Limits of Expressions as ( x ) Approaches Infinity

  • Expression 1: ( x + \frac{1}{x^2} )

    • Limit as ( x ) approaches infinity: ( 0 )
  • Expression 2: ( x^2 + \frac{1}{x} )

    • Limit as ( x ) approaches infinity: ( \infty )
  • Expression 3: ( \frac{5x + 1}{10 + x} )

    • Limit as ( x ) approaches infinity: ( 2.5 )

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

This quiz covers solving systems of equations and determining the limits of various expressions as x approaches infinity. Students will practice finding solutions for both linear and quadratic equations and learn to analyze the behavior of functions at infinity.

More Like This

Windows Versions and 32-bit vs 64-bit
3 questions
Week_2.2 Limits of our sensation
16 questions
Scienze politiche (parziale)
75 questions

Scienze politiche (parziale)

ExaltingBowenite419 avatar
ExaltingBowenite419
Use Quizgecko on...
Browser
Browser