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# We Helped With This Algebra Homework: Have A Similar One?

Category | Math |
---|---|

Subject | Algebra |

Difficulty | Undergraduate |

Status | Solved |

More Info | Calculus Homework Help |

## Short Assignment Requirements

## Assignment Description

MATH 107 7380, Fall 2017

Quiz-3

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

Total Points: 100

Due: November 16, 2017

1. a. Given , g(x) = 3 – 2x, find and simplify the composite function (f o g)(x)

b. Find (f o
g)(-5) where f(x) = -3x-1, g(x) = x^{2} - 3

2. Solve for a:

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

4.

a. Express as a single
logarithm: log
(*x *+ 2) + log 1 – 3 log *y*

* *

* *

* *

* *

* *

* *

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

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. A car rental company charges $36 per day to rent a car and $0.15 per mile. Juan is charged $58.95 for one day rental. How many miles did he drive?

7.

a. Multiply and
simplify: (8 + *i*)(5 + 3*i*). Write the answer
in the form *a *+ *bi*, where *a *and *b *are real numbers.

b. Solve for x: log_{2} (5x-4) = 4

8. Solve the inequality, and write the solution in interval notation: Show all steps to get full credit.

9. Solve for x: 8 ^{7}^{x}^{-}^{1} = 64

10. 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?