Answer:
A. 
Step-by-step explanation:
<h3>Step 1: Definition</h3>
The parent function of 
is translated to the left when 
is positive in the transformation 
.
If is negative, the graph translates towards the left with the distance equal to the value of .
<h3>Step 2: Implementation</h3>
Here the graph moved 3 units towards the right. This means that is negative and has the value of 3.
So, plugging that into the parent function for translation, the function becomes:
Step-by-step explanation:
The simplest possible form of f(n) is:
f(n) = n² + bn + c
f(n) / (n + 1) has a remainder of -12, so:
n² + bn + c = (n + p) (n + 1) − 12
n² + bn + c = n² + (1 + p)n + p − 12
b = 1 + p and c = p − 12
f(n) / (n + 2) has a remainder of -24, so:
n² + bn + c = (n + q) (n + 2) − 24
n² + bn + c = n² + (2 + q)n + 2q − 24
b = 2 + q and c = 2q − 24
Setting the expressions equal:
1 + p = 2 + q and p − 12 = 2q − 24
1 = p − q and p = 2q − 12
Solving the system of equations:
1 = q − 12
q = 13
p = 14
b = 15, c = 2
Therefore, f(n) is:
f(n) = n² + 15n + 2
Using grouping:
f(n) = n² + 3n + 2 + 12n
f(n) = (n + 1) (n + 2) + 12n
f(n) / ((n + 1) (n + 2) = 1 + (12n) / ((n + 1) (n + 2))
The remainder is 12n.
alligators:
x = total number of alligators
n = number of years
x=20x1.25^n
crocodiles:
y = total number of crocodiles
n = number of years
y=25+10n
Answer:
m∠N ≈ 52.6°
Step-by-step explanation:
When we draw out our triangle, we see that in order to find the measure of our angle, we will have to use trig:
sin(x) = 31/39
x = sin^-1(31/39)
x = 52.6431
Did you need it solved on a graph or just solved?
