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Thepotemich [5.8K]
4 years ago
15

Write the domain & range of the function using interval notation.

Mathematics
1 answer:
fgiga [73]4 years ago
5 0
Option A will be the correct answer
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Step-by-step explanation:

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What the answer to 3(x-4)=2(-2x+1)
lidiya [134]

Answer:x = 2

Step-by-step explanation:

Simplifying

3(x + -4) = 2(-2x + 1)

Reorder the terms:

3(-4 + x) = 2(-2x + 1)

(-4 * 3 + x * 3) = 2(-2x + 1)

(-12 + 3x) = 2(-2x + 1)

Reorder the terms:

-12 + 3x = 2(1 + -2x)

-12 + 3x = (1 * 2 + -2x * 2)

-12 + 3x = (2 + -4x)

Solving

-12 + 3x = 2 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

-12 + 3x + 4x = 2 + -4x + 4x

Combine like terms: 3x + 4x = 7x

-12 + 7x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0

-12 + 7x = 2 + 0

-12 + 7x = 2

Add '12' to each side of the equation.

-12 + 12 + 7x = 2 + 12

Combine like terms: -12 + 12 = 0

0 + 7x = 2 + 12

7x = 2 + 12

Combine like terms: 2 + 12 = 14

7x = 14

Divide each side by '7'.

x = 2

Simplifying

x = 2

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