Question

WILL GIVE BRAINIEST!!! Select the correct answer from each drop-down menu.

Answer 1

Answer:

$\text{b. } x + 2(x + 2)$

$\text{The expression } x + 2(x + 2) \text{ gives the same value as } (3x - 2x) + 2(2x - x) + 4 \text{ for both } x = 1 \text{ and } x = 3. \text{ So, the two expressions are equivalent.}$

$x + 2(x + 2)=(3x - 2x) + 2(2x - x) + 4 \text{ it is true } \forall x \in \mathbb{R}$

Step-by-step explanation:

$(3x - 2x) + 2(2x -x) + 4$

$x + 4x -2x + 4$

$3x + 4$

We are looking for an expression equivalent to $3x + 4$ when $x = 1 \text{ and } x = 3$

$\text{ for }x=1 : 3(1) + 4=7$

$\text{ for }x=3 : 3(3) + 4=13$

Testing all the alternatives:

$\text{ for }x=1 : 2(1+1)-2=2(2)-1=3$ This is not the equivalent expression

$\text{ for }x=1 : x + 2(x + 2) \Rightarrow 1+2(1+2)=1+6=7$

$\text{ for }x=3 : x + 2(x + 2) \Rightarrow 3+2(3+2)=3+(10)=13$

This is an equivalent expression

Answer 2

Answer:

b. x + 2(x + 2) = x+2x +4 =3x+4

Step-by-step explanation:

simplify expression

(3x − 2x) + 2(2x − x) + 4 =

x + 2x + 4 =

3x+4

if x= 1 then 3x+4 =3*1+4 =3+4 = 7

if x= 3 then 3x+4 =3*3+4 =9+4 = 13

now that means when you plug in in given expressions 1 and 3 answers should be 7 and 13

or when you simplify expression it should be 3x+4 and that's b.