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5 pages/≈1375 words

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APA

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Mathematics & Economics

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# Math Problems Mathematics & Economics Coursework Paper (Coursework Sample)

Instructions:

Algebra, Mapping and functions.

source..Content:

1 (4x-5)4=81

Take the fourth root of both sides

4x- 5=481

4x- 5=3

Collect like terms

4x = 3 + 5

4x = 8

Divide both sides by 4

4x4=84

x=2

2 hx= 2x-31-x

Substitute h(x) = 0

∴0= 2x-31-x

Determine the defined range

1-x=0

-x= -1

x= 1 , x ≠1

Swap the sides of the equation

2x-31-x=0

When the quotient of the expressions equal to 0, the numerator has to be 0.

2x – 3 = 0

Move the constant to the right hand side and change its sign

2x = 0 + 3 ; 2x = 3

Divide both sides by 2

x = 32 , x ≠1

∴x=32 is in the defined range

3 (1-x)32=8

(1-x)3 =8

Take the cube root of both sides

(1-x) =38

(1-x) =2

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