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podryga [215]
3 years ago
5

Help!! 20 points and brainly!!

Mathematics
2 answers:
igomit [66]3 years ago
8 0
Let the consecutive integers be x, x+1 and x+2.
By the question,
x+x+1+x+2 = 84
Or, 3x+3 = 84
Or, 3(x+1) = 84
Or, x+1 = 84/3
Or, x+1 = 28
Or, x= 28-1
.•. x= 27,,

Hence the smallest integer is 27,,
sergejj [24]3 years ago
5 0

Answer:

26

Step-by-step explanation:

Let x be the first even integer

x+2 is the second even integer

x+4  is the third even integer

The sum of three consecutive even integers is 84

x+ (x+2) + (x+4) =84

Combine like terms

3x +6 = 84

Subtract 6 from each side

3x+6-6 =84-6

3x =78

Divide each side by 3

3x/3 = 78/3

x =26

The three integers are 26, 28,30

The smallest is 26

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Given g(x)=|-3x+16|, if g(x)=18, find x.
LenaWriter [7]

Answer:

x = - \frac{2}{3} , x = \frac{34}{3}

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

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Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

x = - \frac{2}{3}

or

-(- 3x + 16) = 18

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x = \frac{34}{4}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- \frac{2}{3} ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3(\frac{34}{3} ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - \frac{2}{3} and x = \frac{34}{3} are the solutions

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X = 22 + 10x<br> How to find x?
GrogVix [38]

Answer:

x = -2.44

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 10x from both sides:

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x = -2.44 (rounded) is your answer.

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3 years ago
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