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.
X+2.5 because you dont know her height of last year which would give you the variable X and this year she grew 2.5 inches which would make the equation X+2.5
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Answer:
equation;
Center (-4,2)
Radius is
Step-by-step explanation:
Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of
Where (h,k) is center
r is the radius
So first we group like Terms together
Add 7 to both sides
Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem
and
so we have
To find our center, h is -4 and k is 2
so the center is (-4,2)
The radius is
So the radius is 3 times sqr root of 3.
From c=b-5
Independent variable is b, the number of cookies in the jar before your visit
Dependent variable is c, the number of cookies remaining in jar
Any questions please just ask. Thanks!
