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Ulleksa [173]
2 years ago
11

2) Find a counterexample for the given statement. 1 For all numbers x, -x ​

Mathematics
1 answer:
Vilka [71]2 years ago
4 0

x= - 1 is a counter example for the given statement .

Given Statement : for all x , - x  ≤  1 / x .

To Show : a counter example for the given statement

⇒ We have to show for some x , - x is not less than equal to  1 / x .

If we take any positive real no. the statement will hold true , but for any negative real no. the statement is false .

So , any negative no. will be a counter example to this statement .

For instance , x = - 1 is a counter example of the given statement .

To learn more on inequality follow link :

brainly.com/question/1473277

#SPJ9

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The answer is C.

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225 3x5 is 15 and to the power of 2 is 15x15 so multiply and you get 225 hope it helps
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Vinil7 [7]

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3 years ago
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At a grocery store, 7 apples and 2 oranges will cost $12.80. In addition, 6 apples and 3
Pachacha [2.7K]

Answer:

Equation 1: 7x + 2y = 12.8

Equation 2: 6x + 3y = 12

Cost of 1 apple: $1.60

Cost of 1 orange: $0.80

Cost of 1 orange: $Step-by-step explanation:

Let's use the elimination method to solve this

Multiply equation 1 by 3

(7x + 2y = 12.8) x 3 = 21x + 6y = 38.4

Multiply equation 2 by -2

(6x + 3y = 12) x -2 = -12x - 6y = -24

The x terms will cancel each other out

21x + 6y = 38.4

-12x - 6y = -24

9x = 14.4

Divide by sides by 9 to isolate the x variable

9x/9 = 14.4/9

x = 1.6

This means an apple costs $1.60

Plug the new x into one of the original equations to find y; we'll use equation 1

7(1.6) + 2y = 12.8

11.2 + 2y = 12.8

Subtract 11.2 from both sides

11.2 + 2y = 12.8

- 11.2        - 11.2

2y = 1.6

Divide both sides by 2

2y/2 = 1.6/2

y = 0.8

This means an orange costs $0.80

4 0
3 years ago
What is the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies?
jeyben [28]

Answer:

$9.33

Step-by-step explanation:

quarter = 25 cents

dime = 10 cents

nickel = 5 cents

penny = 1 cent

31 (0.25) = 7.75

13 (0.10) = `1.30

5 (0.05) = 0.25

3(0.01) = 0.03

7.75 + 1.30 + 0.25 + 0.03 = 9.33

5 0
3 years ago
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