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)
Step-by-step explanation:
you should only make one equation:
75 + 45x = 30 + 55x
subtract the 30 frim both sides, then subtract 45x from both sides. you are left with:
45 = 10x
Divide by 10 and get:
4.5 = x
After 4.5 hours, the cost is equal for either worker.
Answer:
$242.78
Step-by-step explanation:
Given :
Room cost for 1 night = $199
Tax rate = 22% or 0.22
Tax for room for 1 night = 0.22 x $199 = $43.78
Total cost for one night,
= room cost + tax
= $199 + $43.97
= $242.78
Answer:
I think the right answer is B.
Answer:
Step-by-step explanation:
Ordered pair (0, 0) & (0.5, 2.5) will fall on the line of graph
Step-by-step explanation:
Megan expects to save an average of 5 dollars per week from her babysitting earnings.
=> Saving Per week = 5 $
Saving in 0.5 Week = 0.5 * 5 = 2.5 $
hence ordered pair (0.5, 2.5) will fall on the line of graph
Saving in 3 Week = 3 * 5 = 15 $
Hence (3, 18) will not fall on line
Saving in 0 Week = 0.5 * 0 = 0 $
hence ordered pair (0, 0) will fall on the line of graph
Saving in 4.5 Week = 4.5 * 5 = 22.5 $
Hence (4.5, 30) will not fall on line
