How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) – 2
zero
one
OO
two
infinitely many

infinitely many

Step-by-step explanation:

Given

12x + 1 = 3(4x + 1) - 2 ← distribute parenthesis and simplify

12x + 1 = 12x + 3 - 2, that is

12x + 1 = 12x + 1

The expressions on both sides are equal.

This indicates that any value of x makes the equation true.

Thus there are infinitely many solutions

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

black lol

step-by-step explanation:

h

i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.