Answer:
.
Step-by-step explanation:
This equation is an example of a Limacon with inner loop. By using the symmetry tests where:
POLAR AXIS/HORIZONTAL:
replace a) θ by -θ, b) r by -r and θ by π-<span>θ
VERTICAL AXIS:
replace a) </span>θ by π-θ, b) r by -r and θ by -<span>θ
POLE:
replace a) </span>θ by π+<span>θ, b) r by -r
If any of these rules, after replacing it in the equation, results to the original equation (making it the equivalent) then it is symmetrical to that axis.
In this case, it is only symmetrical about the polar/horizontal axis. </span>
Answer:
Step-by-step explanation:
Let's solve this using our formula for exponential functions:
where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):
. Anything raised to the power of 0 is 1, so that means that
a = 3. We will use that value along with the x and y from the second coordinate to solve for b:
. b to the first is just b, so our equation is
6 = 3b and
b = 2.
Our equation then is
, the third choice down.
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Answer: 10 cents
Step-by-step explanation:
First find the unit rate of each item.
$42.60 divided by 100= 0.426
$32.60 divided by 100= 0.326
Then find the difference
0.426 minus 0.326= 0.1 or 10 cents.