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Are You Smarter Than the Faculty?

Are You Smarter Than the Faculty?. Are You Smarter Than the Faculty?. 150,000. 125,000. Exponential Equations. Logarithmic Equations. 100,000. 75,000. Graphing Rational Function. Rational Equation. 50,000. Inverse Functions. Rational Function. 30,000. 15,000.

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Are You Smarter Than the Faculty?

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  1. Are You Smarter Than the Faculty?

  2. Are You Smarter Than the Faculty? 150,000 125,000 Exponential Equations Logarithmic Equations 100,000 75,000 Graphing Rational Function Rational Equation 50,000 Inverse Functions Rational Function 30,000 15,000 Rational Root Theorem W-Substitutions 10,000 5,000 Factoring Quadratic Formula 1,000

  3. 1,000,000 850,000 Are You Smarter Than the Faculty? Probability Counting Principle,nPr, nCr 750,000 600,000 Binomial Theorem Geometric Sequences 500,000 Arithmetic Sequences Quadratic Systems 400,000 350,000 Conic Sections Million dollar question 300,000 250,000 200,000

  4. Faculty Exponential Equations a) 3x=8.472886094e11 b) 5(8e2x-3)3=625

  5. Faculty- Exponential Equations- Answer a) Ln(0.6) or -.511 b) 0 Return

  6. Faculty-Logarithmic Equations • A) ln(x-3) + ln(x-2) = ln (2x+24) • B) Log4x-log4(x-1)

  7. Faculty-Logarithmic Equations- Answer • A) 9 • B)2 Return

  8. Senior Graphing Rational Function a) [2(x-5)(x-2)]/[(x-5)(x+1)] b) 3(x+5)/(x-2)

  9. Senior  Graphing Rational Function a) V.A at x=-1 H.A at y=2 zero at x=-5 x-int at 2 b) V.A at x=2, H.A at y=3 and zero at x=-5 Return

  10. Senior  Rational Equation  Question • (x/x-2)-(1/x-4)=(2/x2-6x+8) • X+1=(72/x)

  11. Senior  Rational Equation  Answer • 4,-1 • -9,8 Return

  12. Senior- Probability- Questions • A) If a locker has 50 numbers on each lock, how many 3-number combos are possible? • B) What is the probability of rolling a ‘3’ on a single die?

  13. Senior-Probability- Answer • A) 117,600 • B) 1/6 Return

  14. Junior  Inverse Functions a) y=9x b) y=(1/13)x2

  15. Junior Inverse Functions  Answer a) y=(x/9) b) y=+-square root of 13x Return

  16. Junior Rational Function a) (g)(x)=(x-1)/(x-2) b) h(x)= (x+2)/x

  17. Junior  Rational Function  Answer a) (-infinity, 2) U (2, infinity) b) (-infinity, 0) U (0, infinity) Return

  18. Junior- Binomial Theorem • A) (2x + 3/x)4 • B) (u-v)5

  19. Junior- Binomial Theorem- Answer • A) 16x4+96x2+216+216x-2+81x-4 • B) u5-5u4v + 10u3v2-10u2v3+5uv4-v5 Return

  20. Junior-Counting Principle,nPr, nCr • A) How many ways are there to draw 2 cards out of a 52 card deck • B) How many permutations are there of the letters ABCD • C) 54 people are in a conference, six are chosen. They cannot be repeated and order is not important

  21. Junior-Counting Principle,nPr, nCr-Answer • A) 1326 • B) 24 • C) C(54,6)=25,827,165 Return

  22. Sophomore  W-Substitutions • 6x4+4x2-2 • X4+x2+2

  23. Sophomore W-Substitutions  Answer • +- square root of 1/3 and +-I • +-I and square root of 2 Return

  24. Sophomore  Rational Root Theorem a)2x3+3x2-8x+3 b)x3+6x2+3x-10

  25. Sophomore Rational Root Theorem  Answer • +- (3/2), (1/2), 3, 1 • +- 10, 5, 2, 1 Return

  26. Sophomore-Arithmetic Sequences • What is the formula for an Arithmetic Sequence? • T1=5 t7=29 find the 53 number

  27. Sophomore-Arithmetic Sequences-Answers • A)tn= t1+ (n-1)d • 213 Return

  28. Sophomore-Geometric Sequences • What is the formula for a geometric sturcture? • Find the 5th term if t1=6 and t2=12. Also tn=3*2n

  29. Sophomore-Geometric Sequences -Answer • tn=t1*r(n-1) • 96 Return

  30. Freshman Factoring • 3x2-2x-5 • 3x2+7x+2 • 6x2-19x-7

  31. Freshman  Factoring  Answer • 5/3 and -1 • -1/3 and -2 • 7/2 and -1/3 Return

  32. Freshman  Quadratic Formula • 3y2+.15y-11.7 • 10x2+200x +937.5

  33. Frshman  Quadratic Formula  Answer • (-6.5,6) • (-12.5, -7.5) Return

  34. Freshmen-Quadratic Systems • 4x2+8x+4=y • 3x2-2x-5=y

  35. Freshman-Quadratic Systems-Answer • {(-9,256), (-1,0)} Return

  36. Freshman-Conic Sections • Parabola, ellipse, circle or hyperbola? • -3x2+y+2 • 2x2-3y2=0

  37. Freshman-Conic Sections-Answer • A) parabola • B) hyperbola Return

  38. 1,000,000 Mr. Napier Question • What is the rule of this sequence? What sequence is it? Find the 27th term. 0,1,1,2,3,5,8,13,21,34,55,89

  39. 1,000,000 Answer • Fibonacci Sequence • Formula is xn=xn-1+xn-2-> Recursive • 196,418 Return

  40. Thanks for Playing! By: Shawn Miller, Spencer Dant, and Josh Etchberger

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