simplify the expression

Question

9/3x + 4 + 2x

Answer 1

To simplify the expression $\frac{9}{3x}+4+2x$, let's break it down step by step.

1. Simplify $\frac{9}{3x}$:

   $$\frac{9}{3x}=\frac{9÷3}{3x÷3}=\frac{3}{x}$$

2. Combine the simplified term with the other terms:

   Now we have:

   $$\frac{3}{x}+4+2x$$

3. Rearrange if needed:

   There are no like terms to combine, as $\frac{3}{x}$, $4$, and $2x$ are all different types of terms (a fraction, a constant, and a linear term).

Therefore, the simplified expression is:

$$\frac{3}{x}+4+2x$$

Answer 2

answer choices

15x + 12

5x + 4

x + 4

11/3x + 4

Answer 3

Given the expression $\frac{9}{3x}+4+2x$, we simplified it to:

$$\frac{3}{x}+4+2x$$

Now let's investigate if any of the provided answer choices can match this simplification.

1. Option 1: $15x+12$

   This doesn't match since there are no $x$ and constant terms in the original expression that could combine to form $15x+12$.

2. Option 2: $5x+4$

   This option cannot be derived from the original expression either, given that there is no way to combine the terms to isolate $5x$.

3. Option 3: $x+4$

   This option is also too simple compared to the expression we derived.

4. Option 4: $\frac{11}{3}x+4$

   Lastly, let's analyze this option:

To see if $\frac{11}{3}x+4$ can be produced, we can compare with our derived expression. Notice that we want to find an equivalent expression that can include linear terms.

Let's consider rearranging our derived expression into a single fraction:

Starting from:

$$\frac{3}{x}+4+2x$$

We can express $4$ as $\frac{4x}{x}$ and $2x$ as $\frac{2x^2}{x}$, so:

$$\frac{3+4x+2x^2}{x}$$

Now, if we substitute a common $x$ value, we can derive scaling for $x$:

Since we know that the options do not express fractions, we’ll take that $x$ cancels accordingly; however, none of these impacts direct simplification yields to link specifically with the provided term.

Final Matching

None of the answer choices given directly match the simplified expression $\frac{3}{x}+4+2x$.

However, since we're taking a pattern recap of these selections with referring to $x$ and matching the first arrangement, if being input as direct queries reflect:

This implies, match most logically towards $4+\frac{11}{3}x$.

Thus, if there is confusion regarding interpretation versus algebraic expression bases that incorrectly align towards variable terms at result correct options graph denoted $4+\frac{11}{3}x$.

Would you like to ask for any specific unit cases or further adjustments regarding such algebraic patterns?