Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and then decreases in quadrant 4. It crosses the y-axis at (0, negative 0.5).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and then decreases in quadrant 4. It crosses the y-axis at (0, negative 3) and goes through (2, negative 7).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and then decreases in quadrant 4. It crosses the y-axis at (0, negative 3) and goes through (0.5, negative 7).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and then increases in quadrant 1. It crosses the y-axis at (0, 3).

12*c

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .