Answer:
y = x
Step-by-step explanation:
Slope: m = 1
y = x + c
2 = 2 + c
c = 0
y = x
Answer:
Step-by-step explanation:
50% = 0.5
(5 * 5) + (0.5 * 2) =
25 + 1 =
26 <===
Answer:
add them all up together and then divide by the number of items
Step-by-step explanation:
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:

Step-by-step explanation:
You should prolly subtract 2 from both sides first.
So you get, -|2/5x + 3| > -1 2/5
- Add three to both sides
- -|2/5x| = -1 2/5
- Do -1 and 2/5 divided by 2/5 to get -3.5, x > -3.5
One of the answers is x > -3.5 but you need to switch the sign to less than and make the other side the opposite.

You see that, switched the sign and made whats on the right side opposite. So now solve for x again but with this new equation. Also, the parentheses are absolute value signs
Subtract 3 from both sides
-|2/5x| < -1 and 3/5
Divide 2/5 from each side to get x < -4
I hope I'm correct, my bad if I'm wrong