Answer:
1.) Exponential Growth
2.) Exponential Decay
3.) Exponential Growth
4.) Exponential Decay
Step-by-step explanation:
<u>1.) </u><u><em>f (x) </em></u><u>= 0.5 (7/3)^</u><u><em>x</em></u>
↓
always increasing
<u>2.) </u><u><em>f (x) </em></u><u>= 0.9 (0.5)^</u><u><em>x</em></u>
<em> </em>↓
always decreasing
<u>3.) </u><u><em>f (x) </em></u><u>= 21 (1/6)^</u><u><em>x</em></u>
↓
always increasing
<u>4.) </u><u><em>f (x) </em></u><u>= 320 (1/6)^</u><u><em>x</em></u>
<em> </em> ↓
always decreasing
<u><em>EXPLANATION:</em></u>
It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
Answer:
v + u
Step-by-step explanation:
Using the rule of logarithms
log x + log y ⇔ log xy
Given
ln yx, then
ln yx = ln y + ln x = v + u
<span>Therefore, the triangles ABD and CDB are congruent by SAS</span>
The slope is the change in Y over the change in X
The change in y is -2-0 = -2
The change in X is 3-9 = -6
The slope is -2/-6, which simplifies to 1/3
X = 3
y = -3
You will see this using any graphing tool at your disposal.
