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Nookie1986 [14]
3 years ago
13

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Given

9x + 3y = 12 ← rearrange making y the subject

Subtract 9x from both sides

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4, that is

f(x) = - 3x + 4

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Step-by-step explanation:

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4 years ago
0.75h + 3 = 12 <br> What's the answer?
kykrilka [37]

Answer:

h = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

0.75h + 3 = 12

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

  1. Subtract 3 on both sides:                    0.75h = 9
  2. Divide 0.75 on both sides:                  h = 12

<u>Step 3: Check</u>

<em>Plug in h into the original equation to verify it's a solution.</em>

  1. Substitute in <em>h</em>:                    0.75(12) + 3 = 12
  2. Multiply:                               9 + 3 = 12
  3. Add:                                     12 = 12

Here we see that 12 does indeed equal 12.

∴ h = 12 is a solution of the equation.

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