3 minutes - 2 minutes = 1 minute
30 gallons - 12 gallons = 18 gallons
it is draining at 18 gallons per minute
equation would be: y = -18x
Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".
From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).
Recall that the slope, m, of a line passing through points:

and

is given by

Function f(x) passes through points (0, 0) and (80, 800).
Thus the slope of function f(x) is given by

Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by

It can be seen that the slope of f(x) and the slope of g(x) are close.
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My teacher always told me if you dont know the answer choose c.
Answer:
The Taylor series of f(x) around the point a, can be written as:

Here we have:
f(x) = 4*cos(x)
a = 7*pi
then, let's calculate each part:
f(a) = 4*cos(7*pi) = -4
df/dx = -4*sin(x)
(df/dx)(a) = -4*sin(7*pi) = 0
(d^2f)/(dx^2) = -4*cos(x)
(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4
Here we already can see two things:
the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.
so we only will work with the even powers of the series:
f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....
So we can write it as:
f(x) = ∑fₙ
Such that the n-th term can written as:

Answer:
B) {
}
Step-by-step explanation:
A function cannot have replicated x-coordinates. All the other answer choices do, so you would pick this one.
I am joyous to assist you anytime.