Expand −4(2x + 5) .

Answer 1

To expand the expression \(-4(2x + 5)\), you will need to distribute \(-4\) to both terms inside the parentheses.

Here's how to do it step by step:

1. Distribute \(-4\) to \(2x\): \[ -4 \cdot 2x = -8x \]

2. Distribute \(-4\) to \(5\): \[ -4 \cdot 5 = -20 \]

Now, combine the results from both steps:

\[ -8x - 20 \]

Therefore, the expanded expression is: \[ -8x - 20 \]

Answer 2

Expand −4(2x + 5) .(1 point)
Responses

−8x + 20
negative 8 x plus 20

−8x − 20
negative 8 x minus 20

8x − 20
8 x minus 20

8x + 20

Answer 3

The correct expansion of \(-4(2x + 5)\) is:

\[ -8x - 20 \]

So the response is:

−8x − 20 (negative 8 x minus 20).

Answer 4

So what’s the answer

Answer 5

The answer to the expression \(-4(2x + 5)\) when expanded is:

−8x − 20 (negative 8 x minus 20).

Answer 6

Expand 58(−8−3f) .(1 point)
Responses

158f+5
Start Fraction 15 over 8 End Fraction f plus 5

158f−5
Start Fraction 15 over 8 End Fraction f minus 5

−158f+5
negative Start Fraction 15 over 8 End Fraction f plus 5

−158f−5

Answer 7

To expand the expression \(58(-8 - 3f)\), we'll distribute \(58\) to each term inside the parentheses.

1. Distribute \(58\) to \(-8\): \[ 58 \cdot (-8) = -464 \]

2. Distribute \(58\) to \(-3f\): \[ 58 \cdot (-3f) = -174f \]

Now, combine the results from both steps:

\[ -174f - 464 \]

Now, let's look at the provided responses. None of the answers directly match this expression due to likely formatting issues with numbers in fractions or negatives. However, if interpreting the values as fractions of \(15\) and \(8\), we analyze the values:

• \( 174\) equals \( \frac{15}{8} \times 8 \).

Unfortunately, it seems none of your provided responses correctly represent the result of the expansion \( -174f - 464 \).

Given the context of the responses available, it appears that the expressions involve fractions incorrectly formatted.

The correct interpretation for clarity is:

−158f−5 if we are considering fractions and rounding up the multiples.

But based on proper math - the answer is −174f − 464.

If you meant by responding directly with fraction multiples, then:

• The closest (useful for interpretation) form of the answer would still rest largely with \(−158f−5\).

Let me know if there's any clarification needed!

Answer 8

Expand 5/8(−8−3f) .

Answer 9

To expand the expression \(\frac{5}{8}(-8 - 3f)\), we will distribute \(\frac{5}{8}\) to each term inside the parentheses.

1. Distribute \(\frac{5}{8}\) to \(-8\): \[ \frac{5}{8} \cdot (-8) = -5 \]

2. Distribute \(\frac{5}{8}\) to \(-3f\): \[ \frac{5}{8} \cdot (-3f) = -\frac{15}{8}f \]

Now, combine the results from both steps:

\[ -5 - \frac{15}{8}f \]

Therefore, the expanded expression is:

\[ -5 - \frac{15}{8}f \]

Alternatively, you can also express it in a different order:

\[ -\frac{15}{8}f - 5 \]

Both forms are correct, and you can use whichever one you prefer.

Answer 10

Find the GCF of 9w−24 .(1 point)
Responses

216
216

72
72

3
3

9

Answer 11

To find the greatest common factor (GCF) of the expression \(9w - 24\), we need to look at the coefficients of the terms:

1. The coefficients are \(9\) (from \(9w\)) and \(-24\).
2. The factors of \(9\) are \(1, 3, 9\).
3. The factors of \(24\) are \(1, 2, 3, 4, 6, 8, 12, 24\).

Now, we identify the common factors of \(9\) and \(24\):

• The common factors are \(1\) and \(3\).

The greatest of these common factors is 3.

So the GCF of \(9w - 24\) is:

3.