Answer:
-38 - 12x < 200
Step-by-step explanation:
Given,
The original elevation = -38 feet,
Also, the explorer starts moving at a rate of negative 12 feet per minute.
So, the distance covered by explorer after x minutes = -12x feet,
Thus, the final elevation = original elevation + distance covered by explorer
= -38 - 12x
According to the question,
final elevation < -200 feet
⇒ -38 - 12x < 200
Which is the required inequality.
The limit is equivalent to the value of the derivative of

at

. (See definition of derivative)
That sir would be I think its y=mx+b
It is c. Because the original slope is -3 and perpendicular is opposite. So the perp slope is 1/3. C is the answer.
Answer:
The speed of the current is 2 miles per hours
Step-by-step explanation:
Given as :
The speed of motorboat = x = 15 miles per hour
The time taken by motorboat trip upstream = 51 minutes
The time taken by motorboat trip downstream = 39 minutes
Let The speed of the current = y miles per hour
Let The total distance cover = A miles
So ,
Speed = 
So, x - y =
I.e 15 - y =
And x + y =
I.e 15 + y =
=
I.e
=
Or, 17 × (x - y) = 13 × (x + y)
Or, 17 x - 17 y = 13 x + 13 y
Or, 17 x - 13 x = 13 y + 17 y
Or, 4 x = 30 y
Now, ∵ x = 15 miles per hour
So, 4 × 15 = 30 y
Or, y =
∴ y = 2 miles per hour
Hence The speed of the current is 2 miles per hours Answer