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erik [133]
3 years ago
14

suppose you have three consecutive integers. The greatest of the three integers is twice as great as the sum of the first two. W

hat are the integers?
Mathematics
1 answer:
zvonat [6]3 years ago
6 0

Answer:

0,1,2

Step-by-step explanation:

(x+2) = 2((x+1)+(x)

x+2 = 2x+2+2x

x+2 = 4x+2

-x       -x

2     = 3x + 2

-2            -2

0/3   = 3x/3

0 = x

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Read the excerpt from act 1 of The Monsters Are Due on Maple Street.
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Answer:

it is D. the murmurs of a group

Step-by-step explanation:

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3 years ago
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6x+5y+2z=41<br> 4x-10z=-10<br> -x-2y+2z=-1
ikadub [295]
\left[x \right] = \left[ \frac{5\,y}{158}+\frac{6\,z}{79}\right][x]=[​158​​5y​​+​79​​6z​​] totally answer
6 0
4 years ago
The slope of the line between two points is known as the rate of change in the relation.
borishaifa [10]
Slope=rise/run or changeiny/changeinx or (y2-y1)/(x2-x1) or (y1-y2)/(x1-x2)



so

pick any 2 points
(x,y)
(0,17) and (1,23)
slope=(y2-y1)/(x2-x1)
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8 0
3 years ago
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Natali [406]

Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
  • How many ducks? 36
  • How many cows? 44

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

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

  • 2x = number of legs from all the ducks only
  • 4y = number of legs from all the cows only
  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

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

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

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

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

5 0
2 years ago
Evaluate x3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3.
White raven [17]

Answer:

Step-by-step explanation:

x^3-2y^2-3x^3+z^4

(3)^3-2(5)^3+(-3)^4

-142

8 0
4 years ago
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