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pychu [463]
3 years ago
11

- The sum of three consecutive integers is 21 larger

Mathematics
1 answer:
Nata [24]3 years ago
7 0

Answer:

The consecutive integers are:

18, 19, 20

Step-by-step explanation:

Let the three consecutive integers be:

x

x+ 1

x+2

Now according to given conditions:

x + x+1 +x + 2 = 21 + 2x

Adding like terms:

3x + 3 = 21 + 2x

Taking terms with x on left side and constants on right side

3x - 2x = 21 - 3   (Sign of transferred terms will be changed)

x = 18

So the consecutive terms become:

x = 18

x + 1 = 19

x + 2= 20

I hope it will help you!

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Answer:   y = (x-2)/3

This is equivalent to y = (1/3)x - 2/3

=================================================

To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.

y = 3x+2

x = 3y + 2 ... x and y swapped

x-2 = 3y

3y = x-2

y = (x-2)/3

y = x/3 - 2/3

y = (1/3)x - 2/3

This final equation has slope 1/3 and y intercept -2/3

4 0
3 years ago
Determine if the following system of equations has no solutions, infinitely many
DochEvi [55]

Answer:

There is one solution

Step-by-step explanation:

2x + y = -1

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-8x -4y = 4

Then add the equations together to eliminate x

-8x -4y = 4

8x + 3y = -2

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

   -y = 2

Multiply by -1

y =-2

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2x+-2 =-1

Add 2 to each side

2x-2+2=-1+2

2x=1

Divide by 2

x = 1/2

8 0
2 years ago
(1/4)x+1=32 <br><br> -A: -7/2<br> -B: 2<br> -C: -2<br> -D: 3/2
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2 years ago
What is the volume of a rectangular prism with a height of 22 1/2 centimeters and a base area of 562 1/2 square centimeters?
umka2103 [35]

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7 0
2 years ago
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Use the discriminant to determine the number and type of solutions for the following equation. 12x2 + 10x + 5 = 0
Paul [167]
Discriminant D is given by:
D=b²-4ac
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D<0 two zeros that are complex conjugate
D=0 one real zero of multiplicity 2
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From:
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Answer is: 
<span>A two irrational solutions </span>
4 0
3 years ago
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