Gradient =2 because the slope is 2 units. Y-intercept = -2 because it crosses the y-line at -2.
30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.
You didn’t show us the answers we can choose, how do we solve it then
I hope this helps you
(fog)(5)=f (g (5))=?
x= 5 g (5)=-4.5+3=-20+3=-17
f (g(5))=f (-17)=-2. (-17)-7
f (-17)=34-7
f (-17)=27
Ln(xy) - 2x =0
slope of the tangent line = derivative of the function
[ln(xy)]' = [2x]'
[1/(xy)] [y + xy'] = 2
y + xy' = 2(xy)
xy' = 2xy - y =y(2x-1)
y' = y(2x-1)/x
Now use x = -1 to find y and after to find y'
ln(xy) = 2x
x=-1
ln(-y) =-2
-y = e^-2
y = - e^-2
y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2
Answer: option 6. from the list
