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Step2247 [10]
3 years ago
14

Can u please solve this question?

Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Answer:

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

Step-by-step explanation:

Let's write given statement as [ x ]  = ] x+1 [

where [ x ] step function means next integer greater than or equal to x,

and ] y [ means last integer less than or equal to y.

Let's take an example of x = 2.5

So  [ 2.5 ] = 3.

and ] 2.5 + 1 [ = ] 3.5 [ = 3.

Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

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What is the value of x?
Dafna1 [17]

Answer:

3x = 12x - 81(vertically opposite angles)

→3x - 12x =  - 81

→- 9x =  - 81

→x =  \frac{ - 81}{ - 9}

→x =  \frac{81}{9}

→x = 9

hope it helped you:)

5 0
3 years ago
What is the distance from point (– 1, 3) to the line 3x – 4y = 10?​
natta225 [31]

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = \frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }

   = \frac{|-3-12-10|}{9+16}

   = \frac{|-25|}{\sqrt{25} }

    = \frac{25}{5}

     = 5

5 0
2 years ago
4x -5 = 2(2x +1)<br> I need help
Nostrana [21]

Answer:

No Solution

Step-by-step explanation:

4x-5=2\left(2x+1\right)

Expand:

4x-5=2* \:2x+2* \:1

4x-5=4x+2

Add 5 to both sides:

4x-5+5=4x+2+5

4x=4x+7

Subtract 4x from both sides:

4x-4x=4x+7-4x

0=7

No solution as this is false.

4 0
3 years ago
Read 2 more answers
Mr. Barresi is ordering pizzas for a team party. He knows that 7 pizzas will feed 25 students. If 300 students are attending the
liubo4ka [24]
Divide 300 by 25 and multiply with 7.

300/25 x 7 = X
7 0
3 years ago
Read 2 more answers
What is 32.15 in expanded fraction
agasfer [191]
Hi!

The answer is :
32.15 = (3 x 10) + (2 x 1) + (1/10) + (5/100)

That's 32.15 in expanded fraction.

Hope it helps and have a wonderful day!
3 0
3 years ago
Read 2 more answers
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