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3 years ago

The sum of four consecutive integers is 18 find the largest consecutive integer

Mathematics

2 answers:

Whitepunk [10]3 years ago

5 0

Answer:

The largest consecutive integer is 6

Step-by-step explanation:

Let n, n +1, n+2, and n+3 are the four consecutive integers

The sum of four consecutive integers is 18

n + n + 1 + n + 2 + n + 3 = 18

4n + 6 = 18

4n = 12

n = 3

The sum of four consecutive integers: 3, 4 , 5 , 6

Answer:

The largest consecutive integer is 6

neonofarm [45]3 years ago

5 0

The sum of 3 consecutive integers can be represented as

X → <em>first integer</em>

X + 1 → <em>second integer</em>

X + 2 → <em>third integer</em>

X + 3 → <em>fourth integer</em>

<em />

Since the sum of our three consecutive integers is 18, our equation will read...

X + X + 1 + X + 2 + X + 3 = 18

If we simplify on the left, our equation will read

<h2>4x + 6 = 18</h2><h2> -6 -6 ← subtract 6 on both sides</h2><h2 /><h2> 4x = 12</h2><h2> X = 3</h2>

X + 3 = largest integer

3 = 3 = 6

Therefore, the largest integer is 6.

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add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c s

Molodets [167]

<h2>Perfect Squares</h2>

Perfect square formula/rules:

$a^2+2ab+b^2=(a+b)^2$
$a^2-2ab+b^2=(a-b)^2$

Trinomials are often organized like $ax^2+bx+c$ .

The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.

Perfect square trinomial: $ax^2+bx+(\dfrac{b}{2})^2$
or $ax^2-bx+(\dfrac{b}{2})^2$

<h2>Solving the Question</h2>

We're given:

$c^2-4c$

In a trinomial, we're given the $ax^2$ and $bx$ values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:

4 ÷ 2 = 2
2² = 4

Therefore, the term that we can add is + 4.

$c^2-4c+4$

To write this as the square of a bracketed expression, we can follow the rule $a^2-2ab+b^2=(a-b)^2$ :

$(c-2)^2$

<h2>Answer</h2>

$c^2-4c+4$

$(c-2)^2$

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2 years ago

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Step-by-step explanation:

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Answer:

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muminat

Answer:

$36000

Step-by-step explanation:

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3 years ago

-3y = 2x - 9; x= -3, 0, 3

astraxan [27]

1.)-3y=2* -3-9
  -3y=-6-9
  -3y=-15
  y=5
-3*5=-15
2.)-3y=2*0-9
-3y=0-9
-3y=-9
y=3
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3.)-3y=2*3-9
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y=1
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3 years ago