Answer:
x = 0, x = 4, x = -3
Step-by-step explanation:
Factor out the x, which makes it x(x^2-x-12)
Then it will be x(x-4)(x+3)
x = 0
x - 4 = 0, x = 4
x + 3 = 0, x = -3
Answer:
(-9, π/5 + (2n + 1)π)
Step-by-step explanation:
Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:
(9, π/5 + 2nπ), for any integer n
Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:
(-9, π/5 + (2n + 1)π), for any integer n
Answer: Exponential function
Step-by-step explanation:
A linear function is the form
, where m is the constant rate of change of y with respect to x and c is the y-intercept.
An exponential growth function is in the form 
, where r is the rate of growth (generally in percent) and A is initial value.
If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .
Hence it is an exponential equation.
Answer:
b = 8
c = 16
Step-by-step explanation:
From the given right triangle,
a = 
, m(∠B) = 30°
By applying sine rule in the given triangle,
cos(B) = 
cos(B) = 
cos(30°) = 
c = 16
Further we apply tangent rule,
tan(B) = 
tan(30°) = 
b = 8
The increase is $5000-$4000=$1000. The ratio of this increase to the original price is
$1000
-------- = 1/4 (no units of measurement here)
$4000
