Solve the eqations

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

كلية إدارة الأعمال قسم الأساليب الكمية

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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

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3−2 ( ) ( ) = 2 2−3

( ) ( ) = √| | ( ) ( ) = √ 2 − 9 ( ) ( ) = √5 − 2

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( ) ( ) = √ − 4 − 5……………………..

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

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

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

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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

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Exercise 4

Solve each equation or inequality

1. 2 2− =−3

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2. 2 2− <−3 …………………………………………………………………………………………

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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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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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