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AVprozaik [17]
2 years ago
14

Functions and Transformations

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by  

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

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3 years ago
Consider the following quotients: (4x^2 +8x +3)/(2x+1) and 483/21. a. How are these expressions related? b. Find each quotient.
alekssr [168]

Answer:

a) Put x=10, then the both terms will be same.

b) (2x+3) and 23

c) (2x+3) is a general term for all values of x and 23 is a particular value for x=10

Step-by-step explanation:

a) Considering the following two fractions (4x²+8x+3)/(2x+1) and 483/21, they are equivalent to each other for the value of x =10.

Therefore, if you put x=10 in the fraction (4x²+8x+3)/(2x+1), then it will become 483/21. (Answer)

b) The quotient of the fraction (4x²+8x+3)/(2x+1) will be obtained by as follows:

(4x²+8x+3)/(2x+1) {By factorizing the numerator}

=(4x²+6x+2x+3)/(2x+1)

=(2x+3)(2x+1) / (2x+1)

=2x+3

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