[SOLVED] Solve the eqations

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???KINGDOM OF SAUDI ARABIA

Ministry of Higher Education

KING FAISAL UNIVERSITY

College of Business Administration Department of Quantitative Methods

Assignment 1

Semester 1 Academic year 2019-2020

Course of Basics of Mathematics Dr Faten Toumi

Name Academic number Section Serial Number

DIRECTIONS:

– Deadline for delivery: Second lecture of the sixth-week.

– The delivery date must be adhered to and no duty is accepted after that date.

– Reproduction, transfer or collective work is strictly prohibited, and if any of these is established, a grade of zero shall be assigned

???? ????? ??????? ??? ???????? ??????

1????????????

Exercise 1

1.

Find the domain of each function

(a) 8x + 3 = 4 + 8x

(b) 7(x – 2) – 2x = 5x – 14

(c) 12 + 4x = –2(2x – 6) (e) 12 + 4x = –2(2x – 6)

Exercise 3

………………………………..

………………………………..

………………………………..

………………………………..

3?2?? (??)??(??) = 2??2?3??

(??)??(??) = ?|??| (??)??(??) = ???2 ? 9 (??)??(??) = ?5 ? ??2

……………………..

……………………..

……………………..

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2.

3.

32

(??)??(??) = ??? ? 4?? ? 5……………………..

2

Let f be a function defined by??(??) = (?? ? 2) function f.

,?? ? 2. Find the inverse of the …………………………………………………………………………………………

…………………………………………………………………………………………

………………………………………………………………………………………….

The function ??(??) = |??| is invertible on R (i.e. admits an inverse)? Explain. …………………………………………………………………………………………

…………………………………………………………………………………………

…………………………………………………………………………………………

Exercise 2

Determine if the equation has one solution, no solution or infinitely many solutions.

Solve each equation or inequality for x. Plot your solution on a number line

1. (???3)2=49

2. 4(2???3)+5=9

3. 3??–5>16 4. ?(??+5)?3

5. ??(??2?2)?0

2

Exercise 4

Solve each equation or inequality

1. 2??2???=?3

…………………………………………………………………………………………

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2. 2??2???<?3 …………………………………………………………………………………………

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??75

3. = ? ??2 2??2

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4. ??+2=2?2???7 …………………………………………………………………………………………

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Exercise 5

Solve the systems

1. {4???3???2=3???7??}

?? + 5?? ? 2 = ?? + 4

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2?? + ?? + 6?? = 3

2. { ?????+4??=1 }

3?? + 2?? ? 2?? = 2

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3

Exercise 6

A person invested $ 120,000, part at an interest rate at 4% annually and the remainder at 5% annually. The total interest at the end of one year was equivalent to an annual 4.5% rate on the entire $ 120,000. How much was invested at each rate.

…………………………………………………………………………………………………………

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Exercise 7

The Davis company manufactures a product that has a unit selling prices of $20 and a unit cost of $15. If fixed costs are $600,000, determine the least number of units that must be sold for the company to have a profit.

…………………………………………………………………………………………………………

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4

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