ANSWER
B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

EXPLANATION
The given

The hypotheses are
1. The function is continuous on [1, 7].
2. The function is differentiable on (1, 7).
3. There is a c, such that:


This implies that;




Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
Answer:
Step-by-step explanation:
A) 5x = 3(x - 2.5)
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B)
Distribute
5x = 3x - 7.5
Subtract 3x from both sides
2x = -7.5
Divde both sides by 2
x = -3.75
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C)
5 * (-3.75) = 3(-3.75 - 2.5)
-18.75 = -18.75
D)
Tanya paid –$3.75 for each of 5 items
Tony paid –$6.25 for each of 3 items
There seems to be an error in the question since the cost of items is negative
Tony bought fewer items and paid less for each.
1 7/11 = 18/11
2 5/6 = 17/6
Product = 18/11 * 17/6
= 306 / 66 = 51/11 = 4 7/11 Answer