แƒ แƒ˜แƒ— แƒจแƒ”แƒ’แƒ•แƒ˜แƒซแƒšแƒ˜แƒ แƒ“แƒแƒฎแƒ›แƒแƒ แƒ”แƒ‘แƒ?
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Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ

Khan Academy Ambassador & New York Math Circle Instructor

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    If you think about it in terms of money, two debtsย put together make an even bigger debt. (-3)ยณ - 4ยฒ =-27 - 16 =-27 + (-16) = -43 The answer would be 11 if the problem were slightly different. (3)ยณ...

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    The explicit formula for arithmetic sequences always followsย a specific format. The xth term aแตชย is always equal to theย first term aโ‚ย plus theย common difference dย (xย - 1) times: aแตช = aโ‚ + d(x - 1) I...

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    Ah, now we're delving into calculus. If f(x) is restricted to the domain (-1,1)ย and the range (-โˆž,โˆž), then fโปยน(x) is restricted to the domain (-โˆž,โˆž) and the range (-1,1). Restriction to the range (...

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    STEP 1 For a given f(x), set f(x) = y. STEP 2 Isolate x in terms of y. STEP 3 Set x =ย fโปยน(y). Note that this process does not always yield a function. Manyย rational functions are not invertible. If...

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    Hi Bailey, Use theย distributive property in reverse here. Factor out the 3 in both terms of the numerator. 3 รท 3 = 1. Any number divided by itself equals 1. The simplified result is just all that's...

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    Hi Matthew, For help with specific problems, just postย your question and the Khan Academy community will try to help you. As for the question you have mentioned: Medicine (M) in milligrams is given...

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    Hi Max! If I understand correctly, you're asking for a specialized widget for drawing line segments, similar to what's available in MS Paint or Adobe Photoshop. In case they don't implement your fe...

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    Hi Arnaud, You're right - Math by Subject > Statistics & Probabilityย doesn't link to aย regular mission with Mastery Challenges.ย I've noticed this, too! But Math by Grade > High Schoolย does pointย to...

  • Pei-Hsin Lin ๆž—ๅŸนๅฟƒ ๐ŸŒธ commented,

    You're welcome, Alex!ย ๐Ÿ‘

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