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boyakko [2]
2 years ago
8

2 (x + 6) = 36 what’s is x

Mathematics
2 answers:
dedylja [7]2 years ago
6 0

Answer:

12

Step-by-step explanation:

distribute the 2, turning the equation into 2x+12=36

subtract 12 from both sides, now resulting in 2x=24

then divide by 2

Natasha2012 [34]2 years ago
3 0

Step-by-step explanation:

2(x+6)=36

2x+12=36

collect like terms

2x=36-12

2x=24

divide both sides by 2

2x/2=24/2

x=12

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The piece-wise linear functions can be written as follows:

  • f(x) = x, x \leq -2.
  • f(x) = -x - 7, -2 < x \leq 1.
  • f(x) = 2x - 9, x > 1.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

f(x) = x, x \leq -2.

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

f(x) = -x - 7, -2 < x \leq 1.

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

-5 = 2(2) + b

b = -9.

Hence:

f(x) = 2x - 9, x > 1.

More can be learned about linear functions at brainly.com/question/24808124

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