Find the value of x that makes (-2) to the power of 4x+2/(-2) to the power of 2x

The graph is attached.

Step-by-step explanation:

We will write an equation in slope-intercept form to represent this situation.  Slope-intercept form is

y = mx+b, where m is the slope and b is the y-intercept.

We know that the y-intercept, the initial value, is 6.  This gives us

y = mx+6.

We do not know the rate of change, or slope, of this situation.  We do, however, know that after 4 minutes there is 0 water left in the tank.  Substituting 0 in for y and 4 in for x, we have

0 = m(4)+6

0 = 4m + 6

Subtract 6 from each side:

0-6 = 4m+6-6

-6 = 4m

Divide both sides by 4:

-6/4 = 4m/4

-1.5 = m

This gives us

y = -1.5x + 6.  This can also be written as

y = -3/2x + 6.

To graph this, we begin with the y-intercept, 6.  We go up to 6 on the y-axis and plot a point.

The slope tells us where to find the next point.  Slope is rise/run; our slope is -3/2, so from our y-intercept, we go down 3 and right 2 to make our next point.  Then we draw a line between the points.