Last Algebra 2 Exam Sem 1!

- 1. If log
_{7}49000 = 4x - 9, solve for x. Your answer should be correctly rounded to 2 decimal places.
- 2. Solve for x: 11
^{2x-6}= 12^{3x-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) 2:35 pm B) 1:40 pm C) 3:14 pm D) 10:08 am E) 2:40 pm - 4. Please find the inverse function: m(x) = log
_{5}(x + 1) - 2.
A) m ^{-1}(x) = 5^{x+2} - 1B) I seem to be m ^{-1}(x)ed up..C) m ^{-1}(x) = log_{2} (x - 5) + 1D) m ^{-1}(x) = log_{5} (x-1) + 2E) m ^{-1}(x) = 5^{x - 1} + 2- 5. a(x) = x
^{2}- 30x + 199. Find the domain of a^{-1}(x).
A) x ≥ 199 B) x ≥ 15 C) x E R D) x ≥ -26 - 6. Please solve for x: 2 log
_{3}x = 13. Round answer to 2 decimal places.
- 7. Consider y = 7 log
_{4}(x + 11) - 19. What is the domain?
- 8. Consider y = 7 log
_{4}(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 log
_{4}(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: 8
^{7x-5}= 128^{3x+1}
A) 3.86 B) No solution C) 733.33 D) -0.73172 E) 22 - 11. y = 4
^{5x-3}- 2. What is the x-intercept?
A) (3.2, 0) B) (0.6, 0) C) (3.5, 0) D) (0.7, 0) - 12. Consider y = 7 log
_{4}(x + 11) - 19. What is the equation of the asymptote?
A) y = x B) x = -19 C) y = -11 D) y = -19 E) x = -11 - 13. Consider y = 7 log
_{4}(x + 11) - 19. What is the range?
A) y E R B) y > 7/4 C) y > -19 D) y > 7 - 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 ≥ -7 D) x E R E) x ≤ - 7 - 16. x
^{2}+ 11y + y^{2}- 19x = 35.75. Please find the radius.
- 17. Where do the functions y = -(x + 5)
^{2}- 3 and y = log (x + 5) intersect?
A) (-4.999, -3.000001) B) They don't! C) (-3.195, 0.256) - 18. Where do the functions y = 3
^{x-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) Strongly skewed left B) Strongly skewed right C) Nominal D) Roughly symmetric |

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