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Contents

Word Definition
Language Translation
Mathematical Equation
Short Poem
Grammar And Vocabulary

Word Defintion


Language Translation


Mathematical Equation

  1. Writing the equation from Ax+By= C into the form y= mx+b
    Example: Ax+By= C: 3x2+5y= 10; y= mx+b: 5y= -3x2+10
  2. Rewriting the form y= mx+b into the form Ax+By= C Example: f(x)= 5x-8
    Let y= f(x)
    y= 5x-8
    y+(-5x)= 5x+(-5x)-8
    y-5x= -8
    -5x+y= -8 or 5x-y= 8
  3. Addition of Functions
    Formula: (f+g)(x)= f(x)+g(x)
    Example: (f+g)x= (3x+2)+(4-5x) ; x=2
    f(x)= 3x+2 ; g(x)= 4-5x
    f(x)= (3x+2)+(4-5x)
    f(x)= 3x+2+4-5x
    f(x)= -2x+6
    f(2)= -2(2)+6
    f(2)= -4+6>
    f(2)= 2
  4. Subtraction of Functions
    Formula: (f-g)(x)= f(x)-g(x)
    Example: (f-g)x= (3x+2)-(4-5x) ; x=3
    f(x)= 3x+2 ; g(x)= 4-5x
    f(x)= 3x+2-4+5x
    f(x)= 8x-2
    f(3)= 8(3)-2
    f(3)= 24-2
    f(3)= 22
  5. Multiplication of Functions
    Formula: fg(x)= [{f(x)}{g(x)}] ; x=-3
    Example: f(x)= 3x-5 ; g(x)= x2-2
    (fg)(-3)
    (fg)(-3)= [(3)(-3)-5][(-3)2-2]
    (fg)(-3)= (-9-5)(9-2)
    (fg)(-3)= (-14)(7)
    (fg)(-3)= -8


Short Poem

We Can't Stop Love

You're too far away from me,
But still, you're my one and only.
Promise me, you'll never leave,
For all your words, I will always believe.
I think of you each and every day,
Those three words, you never fail to say.
I always want to be with you,
And promise, I won't look for someone new.
You'll be forever in my heart,
I swear we'll never be apart.
Our love will always be true,
For I will always love you.
You always make me smile,
Though you're far a thousand mile.
I promise to never let go,
Because, I love you so.

Grammar and Vocabulary

  1. Their was a shooting incident that happened yestersday.
    Their There was a shooting incident that happened yestersday.
  2. I loved the tour we had in Tagaytay, it's sceneries attracted me the most.
    I loved the tour we had in Tagaytay, it's its sceneries attracted me the most.
  3. Your the most adorable girl I've seen in my entire life.
    Your You're the most adorable girl I've seen in my entire life.
  4. They're group has the most active members in this section.
    They're Their group has the most active members in this section.
  5. Whose responsible for this mess?
    Whose Who's responsible for this mess?