- 1. If log7 49000 = 4x - 9, solve for x. Your answer should be correctly rounded to 2 decimal places.
- 2. Solve for x: 112x-6 = 123x-8. Be VERY precise, and please express your answer correctly rounded to 3 decimal places.
- 3. Agent 008 is out for a stroll at 4:30 pm.... this can't be good... a dead body is found! Agent 008 checks the outdoor temperature: it is 54 degrees. Agent 008 checks the body's temperature: it is 63.8 degrees. WIth you at his side, Agent 008 returns at 5:00 pm and takes another . reading: the body is now at 61.5 degrees. Determine the exact time of death. Please use 98.6 degrees as normal body temperature.
A) 10:08 am
B) 2:35 pm
C) 2:40 pm
D) 3:14 pm
E) 1:40 pm
- 4. Please find the inverse function: m(x) = log5 (x + 1) - 2.
A) m-1(x) = 5x - 1 + 2
B) m-1(x) = log5 (x-1) + 2
C) m-1(x) = 5x+2 - 1
D) m-1(x) = log2 (x - 5) + 1
E) I seem to be m-1(x)ed up..
- 5. a(x) = x2 - 30x + 199. Find the domain of a-1(x).
A) x E R
B) x ≥ -26
C) x ≥ 15
D) x ≥ 199
- 6. Please solve for x: 2 log3 x = 13. Round answer to 2 decimal places.
- 7. Consider y = 7 log4 (x + 11) - 19. What is the domain?
- 8. Consider y = 7 log4 (x + 11) - 19. What is the x-intercept? Express answer in parentheses, as a data point, and round to 2 decimal places.
- 9. Consider y = 7 log4 (x + 11) - 19. What is the y-intercept? Express answer in parentheses, as a data point, and round to 2 decimal places.
- 10. Solve for x: 87x-5 = 1283x+1
A) 3.86
B) No solution
C) -0.73172
D) 733.33
E) 22
- 11. y = 45x-3 - 2. What is the x-intercept?
A) (0.6, 0)
B) (0.7, 0)
C) (3.5, 0)
D) (3.2, 0)
- 12. Consider y = 7 log4 (x + 11) - 19. What is the equation of the asymptote?
A) y = x
B) y = -19
C) y = -11
D) x = -19
E) x = -11
- 13. Consider y = 7 log4 (x + 11) - 19. What is the range?
A) y > -19
B) y > 7
C) y > 7/4
D) y E R
- 14. x = -3(y + 2)2 - 7. Please identify the vertex, use parentheses please.
- 15. x = -3(y + 2)2 - 7. Please identify the domain.
A) x > -2
B) x ≤ - 7
C) x E R
D) x ≥ -7
E) x < 7
- 16. x2 + 11y + y2 - 19x = 35.75. Please find the radius.
- 17. Where do the functions y = -(x + 5)2 - 3 and y = log (x + 5) intersect?
A) (-3.195, 0.256)
B) They don't!
C) (-4.999, -3.000001)
- 18. Where do the functions y = 3x-4 + 3 and y = 4 | x - 6 | + 5 intersect? Express answer as a data point, with parentheses, accurate to 2 decimal places.
- 19. 4-2 is indeed the same as what fraction?
- 20. Survey data is taken from a group, asking each their number of Facebook friends: 80,620,180,805,1020,752,120,356,438,552. Please describe the shape of the data.
A) Roughly symmetric
B) Strongly skewed left
C) Nominal
D) Strongly skewed right
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