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goldenfox [79]
3 years ago
6

Two different points r and y are dilated from s with a scale factor 3/4, andry equal 15. Use the dilation theorm to describe two

facts that are known about ry
Mathematics
1 answer:
Romashka [77]3 years ago
3 0
Genysgngyenegnnhefb
Dh dhmhdmh
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It is known that 5< x< 8. find all possible values of the expression, 6x, -10x,x-5,3x+2
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Answer:

Part 1) 30< 6x< 48

Part 2) -80< -10x< -50

Part 3) 0

Part 4) 17< 3x+2< 26

Step-by-step explanation:

we know that

5< x< 8

The solution for x is the interval ----> (5,8)

All real numbers greater than 5 and less than 8

Part 1) Find all possible values of the expression 6x

so

For x < 8

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For x > 5

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therefore

30< 6x< 48

Part 2) Find all possible values of the expression -10x

so

For x < 8

The expression value is  -10x > (-10)(8) -----> -10x > -80

For x > 5

The expression value is  -10x < (-10)(5) -----> -10x < -50

therefore

-80< -10x< -50

Part 3) Find all possible values of the expression x-5

so

For x < 8

The expression value is  x-5 < 8-5 -----> x-5 < 3

For x > 5

The expression value is  x-5 > 5-5 -----> x-5 > 0

therefore

0

Part 4) Find all possible values of the expression 3x+2

so

For x < 8

The expression value is  3x+2 < 3(8)+2 -----> 3x+2 < 26

For x > 5

The expression value is  3x+2 > 3(5)+2 -----> 3x+2 > 17

therefore

17< 3x+2< 26

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