The tables below show the values of f(x) and g(x) for different values of x: f(x) = 2(3)x x f(x) −2 0.22 −1 0.67 0 2 1 6 2 18 g(x) = 3x + 3 x g(x) −2 3.11 −1 3.33 0 4 1 6 2 12 based on the tables, what is the solution to the equation 2(3)x = 3x + 3? x = −1 x = 0 x = 1 x = 6

The correct option is 3. The solution of given equation is x=1.

Step-by-step explanation:

The given functions are

The table of values for both the functions are given.

The given equation is

The left hand side of the equation is function f(x) and right hand side of the function is g(x).

It means the solution of the given equation is the intersection point of both the functions. In other words, the solution of the function is the value of x for which the values of functions f(x) and g(x) are same.

From the given tables it is clear that the values of f(x) and g(x) are 6 at x=1.

Therefore the solution of given equation is x=1 and option 3 is correct.

21

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12