Answer:
8.5
Step-by-step explanation:
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:
The equation of line is: 
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: 
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope

So, we get slope: 
Finding y-intercept
Using point (-6,-2) and slope
we can find y-intercept

So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope
and y-intercept b = 6 is

Now transforming in fully reduced form:

So, the equation of line is: 
Answer:
(b) the unknown angle is 80°
Step-by-step explanation:
The unkown angle is:
[2(x-10)]°
Substituting "x" by 50 (part a)
[2(50-10)]°=[2(40)]°=80°
Answer:
the answer is 4.94 because you subtract 10.93-5.99