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lidiya [134]
3 years ago
6

Which function is a linear function?

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer: y+ 7 = 5x

Step-by-step explanation:

A linear function is a function in which the highest power of the unknown is 1 , that is , the highest power of the variables that are unknown will be 1.

From the question given:

A : 1  - 3x^{2} = -y

The power of x is 2 , though the power of y is 1 but because of the existence of the power of x which is 2 , it is not linear

B : y + 7 = 5x

both the power of x and y is 1 , so it is a linear function

C: x^{3} + 4 = y is not linear

D is also not linear

likewise , E is not linear

Therefore , B is the only linear function

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How to solve the equation 8b - 12 = 5b
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

8b - 12 = 5b

<u>Step 2: Solve for </u><em><u>b</u></em>

  1. Subtract 5b on both sides:                    3b - 12 = 0
  2. Add 12 on both sides:                            3b = 12
  3. Divide 3 on both sides:                          b = 4

<u>Step 3: Check</u>

<em>Plug in b to verify it's a solution.</em>

  1. Substitute:                  8(4) - 12 = 5(4)
  2. Multiply:                      32 - 12 = 20
  3. Subtract:                     20 = 20

And we have our final answer!

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