Posted: September 13th, 2017

Mathematics

Quiz 3: Show your work on all the problems. Just an answer will not earn  any points.

 

Total Points:  100

Due:  July 5, 2015

 

1. Given

 

and g(x) = 3 – 2x, find the composite function

(f o g)(x) and simplify.

 

2. Solve for a:

 

 

 

 

 

3. Solve, and express the answer in interval notation: | 8 – 5x |   ≤ 12

 

4. Express as a single logarithm:

 

log (x + 2) + log 1 – 3 log y

 

5. The percentage score on a test varies directly as the number of correct responses. Rita answered 24 questions correctly and earned a score of 60%. What would her percentage score have been if she had answered 34 questions correctly?

 

 

 

6. Multiply and simplify: (8 + i)(5 + 3i).

 

Write the answer in the form a + bi, where a and b are real numbers.

 

 

7. Solve the inequality, and write the solution in interval notation:

 

 

 

 

 

8. Find the exact value of the logarithm without using calculator:

 

 

 

9. Solve for x:

 

log₂ (5x-4) = 4

 

 

 

1. Suppose $2,800 is invested in an account at an annual interest rate of 4.7% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size?