180 + 30x = 60 + 50x
⇒ 20x = 120
⇒ x = 6 minutes
<span>it will take 6 minutes for Millie to catch up with Ben</span>
First you need to find the slope of the line. So what you need to do is y^2-y^1 / x^2-x^1
(x^1, y^1) (x^2, y^2)
( -1, 7) ( 2, 10)
10-7/ 2- (-1)
3/3=1
slope is 1
I got 8 as the y intercept. Reason how is that I made a table. And what I did was go back instead of going forward.
x y
-1 7
0 8
1 9
2 10
The answer would be x= 1 y= x + 8 y=8 But the answer choice you listed for A. would not match up the 2 coordinate you gave. Make sure a. should be x= 1 y= x + 8 y=8, not -x y= 8-x y=8
It is in all 0.0098934551 in all in total
Y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
