Sure! The expression that is equivalent to (4 + 17v) + 4v using the Associative Property is:
**3. 4 + (17v + 4v)**
Using the Associative Property, which of the following expressions is equivalent to (4+17v)+4v ?(1 point)
Responses
21v2 +4
21v2 +4
(17v+4)+4v
(17v+4)+4v
4 + (17v + 4v)
**3. 4 + (17v + 4v)**
**3** (4 + (17v + 4v)).
**Answer 3** (4 + (17v + 4v)).
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
**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.**
(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
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).
(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
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).