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Anarel [89]
1 year ago
15

Given functions f and g, find f-g.

Mathematics
1 answer:
Eva8 [605]1 year ago
5 0

Answer:

-5x-5

Step-by-step explanation:

original functions:

f(x)=3x-8\\g(x)=8x-3

Subtract the polynomials:

f(x)-g(x) = (3x-8) - (8x-3)

Distribute the negative sign:

3x-8-8x+3

Combine like terms:

(3x-8x)+(-8+3)

Add like terms:

-5x-5

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Answer:

The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

Step-by-step explanation:

Let the width of rectangular solid be x

We are given that the length of the container must be one meter longer than the width

So, Length of solid = x+1

We are also given that height must be one meter greater than twice the width

So, Height of solid = 2x+1

So, Volume of solid = Length \times Width \times height

Volume of solid = (x+1) \times x \times (2x+1)

Volume of solid =(x^2+x)(2x+1)

Volume of solid =2x^3+x^2+2x^2+x=2x^3+3x^2+x

We are given that  a rectangular solid must have a volume of 84 cubic meters

So, 2x^3+3x^2+x=84\\2x^3+3x^2+x-84=0\\(x-3)(2x^2+9x-28)=0\\

On equating

x-3=0

x=3

So, Length of solid = x+1=3+1 = 4 feet

Height of solid = 2x+1 =2(3)+1=7 feet

Width of solid = 3 feet

Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

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100 m^2.

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