Consider the function

, which has derivative

.
The linear approximation of

for some value

within a neighborhood of

is given by

Let

. Then

can be estimated to be

![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since

for

, it follows that

must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function

. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...
The expression for the total cost of their trip is 7 + 2x + 3y.
As per the question, assuming the number of bottles to be x and number of bags to be y. The equation will have one time fee of admission, product of cost of bottles and number of bottles and product of cost of bags and number of chips bags.
The one time fee and two products will be added to form the expression. Forming the equation now -
Expression = 7 + 2x + 3y
Therefore, the expression of trip when x bottles of water were bought during the visit is 7 + 2x + 3y.
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Answer:
2/21 is the most logical answer
Step-by-step explanation:
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Answer:
49.4
Step-by-step explanation:
So, 1 Gallon = 3.8 Liters. We need to find how many liters are in 13 gallons.
All we need to do is multiply our 3.8 liters (1 gallon) by 13 to find out how many liters 13 gallons is.
3.8 x 13 = 49.4
Your answer is 49.4.
<u>Hope this helps and have a nice day!</u>