can you just put 1,2,3,4 for each answer you give me so i know what option it is? thanks!

Sure! The expression that is equivalent to (4 + 17v) + 4v using the Associative Property is:

**3. 4 + (17v + 4v)**

can you put if it is answer 1, 2, 3, or 4 instead?

Sure! The expression that is equivalent to (4 + 17v) + 4v using the Associative Property is:

**3** (4 + (17v + 4v)).

no, is it answer 1, answer 2, answer 3, answer 4

I apologize for the confusion. The correct answer is:

**Answer 3** (4 + (17v + 4v)).

Using both the Commutative and Associate Properties, determine whether the following two expressions are equivalent:

Expression 1: (3b+1)+10b+9


Expression 2: 13b +9


(1 point)
Responses

The expressions are equivalent
The expressions are equivalent

The expressions are NOT equivalent

To determine if the expressions are equivalent, let's simplify both.

**Expression 1:**
(3b + 1) + 10b + 9
= 3b + 10b + 1 + 9 (using the Associative Property)
= 13b + 10 (combining like terms)

**Expression 2:**
13b + 9

Now we compare the simplified versions:
- Expression 1 simplifies to **13b + 10**.
- Expression 2 is **13b + 9**.

Since **13b + 10** is not equal to **13b + 9**, the expressions are NOT equivalent.

The answer is:

**The expressions are NOT equivalent.**

Use the FOIL method to multiply the following binomials: (x+2)(x−1)

(1 point)
Responses

2x2+x+2
2 x squared plus x plus 2

x2+x−2
x squared plus x minus 2

x2−x−2
x squared minus x minus 2

x2+2x+2
x squared plus 2 x plus 2

answer 1, answer 2, answer 3, answer 4

To use the FOIL method on the binomials (x + 2)(x − 1):

1. **First**: x * x = x²
2. **Outer**: x * -1 = -x
3. **Inner**: 2 * x = 2x
4. **Last**: 2 * -1 = -2

Now, combine these results:
x² - x + 2x - 2 = x² + x - 2.

Therefore, the answer is:

**Answer 2** (x² + x - 2).

Simplify the polynomial below and type in standard form:

(x2−4x+3)+(2x2+2x−1)


(1 point)
Responses

3x3−2x2+2
3 x cubed minus 2 x squared plus 2

3x2+6x+4
3 x squared plus 6 x plus 4

3x2−2x+2

To simplify the polynomial \( (x^2 - 4x + 3) + (2x^2 + 2x - 1) \), we can combine like terms:

1. Combine the \( x^2 \) terms:
- \( x^2 + 2x^2 = 3x^2 \)

2. Combine the \( x \) terms:
- \( -4x + 2x = -2x \)

3. Combine the constant terms:
- \( 3 - 1 = 2 \)

Putting it all together, we get:
\[ 3x^2 - 2x + 2 \]

So, the polynomial in standard form is:

**Answer 3** (3x² - 2x + 2).