Answer:
x = -119/3 = -39 2/3
Step-by-step explanation:
(128 +7x- 12) = (4x - 3)
Combine like terms
(116 +7x) = (4x - 3)
Subtract 4x from each side
116 +7x-4x=4x-4x-3
116 +3x = -3
Subtract 116 from each side
116-116 +3x = -3-116
3x = -119
Divide each side by 3
3x/3 = -119/3
x = -119/3
x = -39 2/3
The table is attached in the figure.
g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x
∴ g'(x) =
⇒⇒⇒⇒⇒⇒ chain role
To find g '(0.1)
Substitute with x = 0.1
from table:
f'(0.1) = 1 ⇒ from the table
∴ g'(0.1) = 4 * [ f'(0.1) ] = 4 * 1 = 4
Answer:
Option D. 75 miles
Step-by-step explanation:
Looking at the Yellowstone Park map we can see that Mrs. Folwer went from Old Faitful to the Canyon by covering a straight line of
.
This tells us that we do not need extra calculations to find the distance covered on the map. We also know that the map scale is given as
. So similarly we do not need to do extra ratio conversions.
Thus we know that if
and she covered
on the map, we can just multiply covered distance with the equivalency of
in
as follow:

Thus Mrs. Folwer's actual distance from Old Faithful to Canyon in Miles is 75 miles. (<u>which is given in Option D</u>.)
Answer:
degree of length: 1
degree of width: 1
degree of height: 3
degree of volume: 5
Step-by-step explanation: