Answer:
Step-by-step explanation:
3/4
6/8
12/16
24/ 32
48/ 64
9/12
.32 multiplied by 300 is 96
Since the variable x is at the exponent, this is an exponential function.
To decide whether an exponential function is a growing or decaying one, we have to look at the base of the exponent.
If the base is between 0 and 1, we have exponential decay
If the base is larger than 1, we have exponential growth.
In your case the base is 3, which is larger than 1, so you have exponential growth.
Thus, <u>option d</u> is your answer
Answer:
The equation of the line would be y = -3/2x + 9
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
2x - 3y = 12
-3y = -2x + 12
y = 2/3x - 4
Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 6 = -3/2(x - 2)
y - 6 = -3/2x + 3
y = -3/2x + 9
