a) The tangent to
at
has slope

and
at this point. It passes through the origin, so its equation is

It also passes through the point
on the curve, so

By substitution,

b) The normal to
at
has slope

It follows that

c) The tangent line equation is then

Answer:
x = 15
Step-by-step explanation:
Hope this helps! :D
Since the sandwich cost 3 times as much as the chips and the sandwich is $6 then the chips must cost $2.
C = 6(5) + 2b
42 = 30 + 2b
12 = 2b
6 = b
Answer: Casey bought 6 bags of chips
Answer:
12 - 6 x (0 + 15) = 34
How I got my answer
First, how i got my answer was that I had to solve the equation first, ignoring the answer. I got 0 x 6 = 0, then I did 124 - 0 = 124, then I did 124 - 15 = 109, which clearly isn't 34. I figured that we have to put the parentheses around the zero because if we don't, we are going have to multiply something by zero, which always gets zero. After that, I decided that I should put the parentheses around either the 6, or the 15. I did both, and saw which one was correct. If we put it around the 6, we get, 124 - (6 x 0) + 15 = 124 - 0 - 15 = 124 - 15 = 109, which isn't 34. Then I checked 124 - 6 x (0 + 15) = 124 - 6 x 15 = 124 - 90 = 34, and we just got the answer.
P.S. Sorry if it was confusing, I didn't really know how to explain it
5 Bars of soap for $4.00 Why? Because you if you buy two it cost $8.00 or buy three pack and you'll get 15 for $12.00