Answer:

this is the equation of the tangent at point (-1,1/e)
Step-by-step explanation:
to find the tangent line we need to find the derivative of the function g(x).

- we know that



this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'
to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

using the equation of line:

we'll find the equation of the tangent line.
here (x1,y1) =(-1,1/e), and m = 3/e


this is the equation of the tangent at point (-1,1/e)
Answer:
The period of function is 5 and amplitude is 3.
Step-by-step explanation:
<em>The period of the function is the time interval after which it repeats itself.</em>
It means the time interval after which the same value of graph is attained.
In the above case looking at the peak point at time 5 seconds, the same value is obtained at time 10 seconds.
Thus the time interval is (10 - 5) 5 seconds.
<em>Amplitude is the maximum value attained by the graph in the complete interval.</em>
In the above case, the maximum value attained is 3.
Answer:
y= 2x - 19/3
Step-by-step explanation:
6x-3y=19
3y=6x-19
y=2x- 19/3
slope: 2
y-intercept: -19/3
0.15x + x <(or equal to) 50
Where x is the meal's cost (no tip included)
50 - 15% = 42.5.
x >(or equal to) 42.50.
(nothing is copied content, I copy pasted a number into the right position, feel free to check it mods)