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Liono4ka [1.6K]
3 years ago
12

Need help -2<2×-3<1​

Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0

Answer:

1/2 < x < 2

Step-by-step explanation:

-2<2x-3<1​

Add 3 to all sides

-2+3<2x-3+3<1​+3

1<2x<4

Divide all sides by 2

1/2 < 2x/2 <4/2

1/2 < x < 2

kozerog [31]3 years ago
4 0

Answer:

-2 < 2x - 3 < 1 \ = \ \frac{1}{2} < x < 2

Step-by-step explanation:

-2 < 2x - 3 < 1\\\\-2 + 3 < 2x - 3 + 3 < 1 + 3 \ \ \ \ \ \ \ \  \ \ \ \ \ \  \ \ \ \ \ \ [ \ adding \  by\  3 \ ]\\\\1 < 2x + 0 < 4\\\\1 < 2x < 4\\\\\frac{1}{2} < \frac{2x}{2} < \frac{4}{2} \ \  \ \ \ \ \ \ \ \ \  \ \ \  \ \ \ \ \ \ \ \ [ \ divide \ by \ 2 \ ]\\\\\frac{1}{2} < x < 2

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The temperature dropped 5 degrees every hour during 8 hours. How much the temperature drop in all?
Murrr4er [49]

Answer:

<h3>40 degrees</h3>

Step-by-step explanation:

If the temperature dropped 5 degrees every hour, this can be expressed as;

5 degree = 1 hour

To get the total number of degree dropped fro 8hours, we will say;

x degree = 8hours where x is the temperature drop in all

Solving both equality

5 degree = 1 hour

x degree = 8 hours

cross multiply

x * 1 = 5 * 8

x = 40 degrees

<em>Hence the total temperature drop in all is 40°</em>

7 0
4 years ago
State the integer that represents the opposite of a gain of 400.
Talja [164]

Step-by-step explanation:

the integer that represents the opposite of a gain of 400 = - 400

5 0
3 years ago
The sum of two numbers is 30 and their difference is 12, what are the two numbers
Tju [1.3M]

Step-by-step explanation:

Let the number is a <em>and</em><em> </em>b

The sum of two numbers =30

so,a+b=30 <em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>1</em><em>)</em>

The difference of two number =12

so,a-b=12<em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>2</em><em>)</em>

If we add two equation (1) and (2)

we get,

a+b+a-b=30+12

2a=42

\tt{ a=\dfrac{42}{2}  }

\tt{  a=21 }

so,one number is a=21

if we put the value a in (2) equation

we get,

a-b=12

21-b=12

b=21-12

b=9

so,the another number is=b=9

\tt{ the~two~ number~ are~ 21 ~and~ 9  }

3 0
3 years ago
Read 2 more answers
Can someone please help me factor 6x^2 - 9x+42
frutty [35]

Answer:

3(2x^2-3x+14)

Step-by-step explanation:

6x^2-9x+42

All three terms have a common factor of 3

3(2x^2-3x+14)

Now let's focus on 2x^2-3x+14 and bring down the factor 3 later

so a=2

b=-3

c=14

Let's try to find two factors for ac that multiply to be a*c and add up to be b.

ac=28

b=-3

-----

ac=7(4)=14(2)=8(2)

Even if I made these pairs with both negatives nothing would give me -3

So you can only go as far as 3(2x^2-3x+14)

Here is another thing to help you if you have ax^2+bx+c and b^2-4ac<0 then it can't be factored (over reals)

6 0
3 years ago
Read 2 more answers
1 3/5 divided by 2/5
madreJ [45]

Answer:

4

Step-by-step explanation:

1 3/5 ÷ 2/5

Change the mixed number to an improper fraction

( 5*1+3)/5 ÷ 2/5

8/5 ÷ 2/5

Copy dot flip

8/5 * 5/2

Rewriting

8/2 * 5/5

4*1

4

5 0
3 years ago
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