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)
Wow...we have lots of numbers to go through. we know that a 6 sided figure is a hexagon and the interior angles add up to be 720°. so.....
∠A + ∠B + ∠ C + ∠D + ∠E + ∠F = 720°
(x - 60) + (x - 40) + 130 + 120 + 110 + (x - 20) = 720
3x + 240 = 720 (combined all like terms)
3x = 480 (subtracted 240 from both sides)
x = 160 (divided both sides by 3)
put the value of x into ∠A (x - 60) = 160 - 60 = 100
∠A = 100°
Answer:
-1.5x + 70
Step-by-step explanation:
Total money he takes while going to the fair = $90
Money he spends to enter the fair = $5
Money he spends on food =$15
Total he spent now is given by
Now, he spend on rides at the fair i.e. 1.50 per ride .
Let the number of rides be x
So, cost incurred on rides = 1.5x
So, the spending money can be expressed as
Now, remaining money left to him after spending on x rides too is
Let f(x) denotes the function used to determine the money he has left over after rides .
So it becomes
f(x) = 70 - 1.50x
f (x) = -1.50x +70