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Serjik [45]
3 years ago
14

The set of ordered pairs represents a function. Write a rule that represents the function.

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

y = 3x^3 is the rule representing the function.

Step-by-step explanation:

There are 4 points given.

​(0​,0​), ​(1​,3​), ​(2​,24​), ​(3​,81​), ​(4​,192​)

We are asked to find the function or rule connecting x and y

On seeing the pair, first let us find y/x


We observe that y is a multiple of 3. Let us find the values of y/3

y/3 = 0,  1,  4,   9,   16

     = 0^2,1^2,3^2,4^2,....

i.e. y/3 is the square of x.

Hence relation is y = 3x^2



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poizon [28]

Answer:

x = 1.27

y = 5.18

Step-by-step explanation:

to solve this system of  equation by simultaneous equation we say that let

3x+y=9.............................. equation 1

-5x+2y=4 .......................... equation 2

from equation 1

3x+y=9.............................. equation 1

y = 9 -3x.............................. equation 3

substitute the value of y = 9 -3x into equation 2

-5x+2y=4 .......................... equation 2

-5x + 2( 9 -3x) = 4

-5x + 18 - 6x = 4

collect the like terms

18 - 4 = 6x + 5x

14 = 11x

divide both side by 11

14/11 = 11x/11

x = 14/11

x = 1.27

put the value of x = 1.27 into  equation 3

y = 9 -3x.............................. equation 3

y = 9 - 3( 1.27)

y = 9 - 3.82

y = 5.18

<em>to check if you are correct put the value of x and y into either equation 1 or equation 2.</em>

<em>3x+y=9.............................. equation 1</em>

<em>3( 1.27) + 5.18 = 9</em>

<em>3.81 + 5.18 = 9</em>

<em>9 = 9</em>

3 0
3 years ago
5x+12=44 then value of 5x-12=?​
KATRIN_1 [288]

Answer:

If 5x+12=44 then value of 5x-12 is 20

Step-by-step explanation:

5x + 12 = 44

  • The first step, we have to find the value of x

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5x = 32

x = 32/5

x = 6.4

  • After that, insert the value of x into 5x - 12

5x - 12 = ...

5 ( 32/5 ) - 12

= 32 - 12

= 20

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