Solve the eqations

I’m studying for my Mathematics class and need an explanation.

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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