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aleksklad [387]
2 years ago
9

X/4 -3 = 1/3 + 2x solve for x

Mathematics
1 answer:
ivann1987 [24]2 years ago
4 0

Answer:

Step-by-step explanation:

\frac{x}{4} - 3 = \frac{1}{3} + 2x ...... <em>(1)</em>

(1) × 12 :

3x - 36 = 4 + 24x

21x = - 40

x = - \frac{40}{21} = -1\frac{19}{21}

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Choose the model that represents the function
kirill [66]

Answer:

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have $ f(4) = 18 $

$ f(-2) = -12 $

$ f(0) = -2 $

$ f(-3) = -17 $

Here, $ x $ is the domain and $ f(x) $ is the co-doamin.

Therefore, $ x = \{4, -2, 0, -3\} $

Now, OPTION A: $ f(x) =  2x - 5 $

Substitute x = 4. We get f(x) = 3 $ \ne $ 18.

So, OPTION A is rejected.

Similarly, OPTION B: $ f(x) = 5x + 2 $

Substitute x = 4. We get f(4) = 22 $ \ne $18.

It is rejected as well.

Now, for OPTION C: $ f(x) = \frac{x}{2} - 5 $

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So, OPTION C is also rejected.

OPTION D: $ f(x) =  5x - 2 $

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