Which expressions are equivalent to −9(23x+1)

Question

? Check the two that apply.(2 points)
Responses

−6x−9
negative 6 x minus 9

−9(23x)−9(1)
negative 9 times open paren 2 thirds x close paren minus 9 times 1

−6x+9
negative 6 x plus 9

−9(23x)+9(1)
negative 9 times open paren 2 thirds x close paren plus 9 times 1

−6x+1

Answer 1

To find the expressions equivalent to \(-9(23x+1)\), we first simplify this expression:

1. Distribute \(-9\) across the terms inside the parentheses: \[ -9(23x) - 9(1) = -207x - 9 \]

Now, let's evaluate the provided options:

1. −6x−9: This is not equivalent because we found \(-207x - 9\).

2. −9(23x)−9(1): This is equivalent because it is just a restatement of the distributed form we obtained, \(-9(23x) - 9(1)\).

3. −6x+9: This is not equivalent because we found \(-207x - 9\).

4. −9(23x)+9(1): This is not equivalent because it has the wrong sign on the second term; it should be \(-9(1)\).

5. −6x+1: This is not equivalent because we found \(-207x - 9\).

The two correct options that apply are:

• −9(23x)−9(1).

Since there is only one expression found to be equivalent, if you must select two, please check if the question was worded incorrectly or misinterpreted. If you meant to choose the only equivalent one, that would be your only choice.

Answer 2

YOU HAVE TO PICK TWO

Answer 3

Apologies for the confusion! Let's look at it again step-by-step to identify any potential equivalences correctly.

You have the expression \(-9(23x + 1)\).

1. Distributing: \[ -9(23x + 1) = -9(23x) - 9(1) = -207x - 9 \]

Now, let's evaluate the options again clearly:

1. −6x−9: This is not equivalent to \(-207x - 9\).

2. −9(23x)−9(1): This is identical to our expanded form of \(-207x - 9\). This is equivalent.

3. −6x+9: This is not equivalent to \(-207x - 9\).

4. −9(23x)+9(1): This simplifies to \(-9(23x) + 9\), which is not the same as \(-207x - 9\). Therefore, this is not equivalent.

5. −6x+1: This is also not equivalent to \(-207x - 9\).

Since only one expression is clearly equivalent, and based on your request to pick two, the closest match you might sometimes see in different expressions is:

• −9(23x)−9(1)
• And a misleading second expression, if any, but based on pure mathematics, we only have one valid equivalent expression.

If you need to select something, focus on −9(23x)−9(1) first.

Finally, if this task requires a second option strictly, we might assess any typographical or conditional situations specified within the exercise parameters. Otherwise, following mathematical integrity, only one correct matching expression is found.

Let me know if further clarification is needed!

Answer 4

what colsest 2nd answer

Answer 5

Thank you for your patience! Let’s clarify which options might be nearest to being correct, even if they are not fully equivalent.

Given: \(-9(23x + 1) = -207x - 9\)

The equivalent expressions we identified were:

1. −9(23x)−9(1) (Equivalent)

Now, we need to choose the second closest answer:

• −6x−9:

  • This is not close as it implies a different coefficient for \(x\).

• −6x+9:

  • This does not match and has the wrong constant.

• −9(23x)+9(1):

  • This one results in \( -207x + 9\), which is also not equivalent but might be somewhat close to the constant part only.

• −6x+1:

  • This is also not close.

The most reasonable choice among these, if you are tasked to choose a second option, would be:

• −9(23x)+9(1) as the second option, even though it's not directly equivalent, as it relates closely in structure despite differing in outcome.

So, the two selected options would be:

1. −9(23x)−9(1) (definitely equivalent).
2. −9(23x)+9(1) (the closest possible option related structurally).

I hope this helps! If you have another specific aspect of this query, feel free to ask!