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emmasim [6.3K]
2 years ago
5

State all integer values of x in the interval (-2,5) that satisfy the following

Mathematics
1 answer:
dimaraw [331]2 years ago
5 0

Answer:

The only value in the interval (-2, 5) which satisfies the inequality is:

  • x = -1

Step-by-step explanation:

Given the inequality

  • -4x – 1 > 1
  • interval = (-2,5)

The integer values lie in the interval (-2, 5) = -1, 0, 1, 2, 3, 4

Let us substitute all the integer values lie in the interval

substitute x = -1

-4x – 1 > 1

-4(-1) - 1 > 1

4 - 1 > 1

3 > 1

TRUE

substitute x = 0

-4x – 1 > 1

-4(0) - 1 > 1

0 - 1 > 1

-1 > 1

FALSE

substitute x = 1

-4x – 1 > 1

-4(1) - 1 > 1

-4 - 1 > 1

-5 > 1

FALSE

substitute x = 2

-4x – 1 > 1

-4(2) - 1 > 1

-8 - 1 > 1

-7 > 1

FALSE

substitute x = 3

-4x – 1 > 1

-4(3) - 1 > 1

-12 - 1 > 1

-13 > 1

FALSE

substitute x = 4

-4x – 1 > 1

-4(4) - 1 > 1

-16 - 1 > 1

-17 > 1

FALSE

Therefore, the only value in the interval (-2, 5) which satisfies the inequality is:

  • x = -1
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A

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2 years ago
In a small town, electricity prices have been rising 2% each year since 2008. Which
mihalych1998 [28]
<h3>Answer: p = 0.12*(1.02)^t</h3>

Explanation:

The general exponential growth equation is

p = A*B^t

where t is the number of years that have gone by after 2008, A is the starting amount, B is the growth multiplier, and p is the price t years after 2008

We know that A = 0.12 is the starting price

The value of B is B = 1.02 which is in the form 1+r since 1.02 = 1 + 0.02 = 1+r

The r value is r = 0.02 and it is positive to represent growth. Keep in mind that 2% = 2/100 = 0.02

So we go from

p = A*B^t

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p = 0.12*(1.02)^t

4 0
3 years ago
Iiiiiiiiytffhjhffjdjhdhdhdhdhhdhdd
SVEN [57.7K]

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, hence

x + x + 10 + 3x + 20 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

8 0
3 years ago
Which ordered pair is shown on the graph?
Oliga [24]

Answer:

(2,4)

Step-by-step explanation:

look at the x axis and y axis and see where they meet

6 0
2 years ago
Read 2 more answers
2 divided by what times what equals 7
g100num [7]

Answer:

<h2><u><em>2/7</em></u></h2>

Step-by-step explanation:

I answer for what I understand, the question is not clear.

2 divided by what times what equals 7

2 : x = 7

x = -2/-7

x = 2/7

-------------

check

2 : 2/7 = 7

2 * 7/2 = 7

7 = 7

the answer is good

5 0
2 years ago
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