brianluong00
contestada

If you graph both sides of the equation 2(2x + 3) = 4x + 6, what will the graph look like?

The graphs never intersect.
The graphs intersect at a single point.
The graphs are identical and intersect at infinitely many points.
The graphs intersect at exactly two points.

Respuesta :

kphung76127
Distribute on the left
4x+6=4x+6

Because the equations are exactly the same, they are coinciding and all point intersect. Therefore, there are infinitely many solutions.

Final answer: C

Answer:

The graphs are identical and intersect at infinitely many points.  

Step-by-step explanation:

Given the equation

[tex]2(2x + 3) = 4x + 6[/tex]

we have to compare the graph of both sides of equation.

[tex]LHS: 2.(2x + 3)[/tex]

By distributive property,

[tex]a.(b+c)=a.b+a.c[/tex]

[tex]2.(2x + 3)=2.2x+2.3=4x+6[/tex]

[tex]\text{The above expression implies 4x+6}[/tex]

which is equals to RHS of given equation i.e

[tex]4x+6=4x+6[/tex]

The both sides of equation are identical.

Since both sides of equation are identical therefore intersect at infinitely many points.

Option 3 is correct.

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