In here, we could write an equality as x – 12 < 65. In solving inequalities, we follow the same rule as solving algebraic expressions. We will transpose 12 to the other side, giving us x < 65 + 12. Simplifying, we have x < 77. Geraldo must have a bill less than $77 in order for him not to spend more than $65.
Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.
The rate of change <u>from x = 0 to x = 2</u> is given by:

From <u>x = 2 to x = 4</u>, it is given by:

The average of these rates is:

Hence, the best estimate of f '(2) based on this table of values is of 10.
To learn more about derivatives, brainly.com/question/18590720
Answer:
35 inches
Step-by-step explanation:
multiply length value by 12
A^2 + b^2 = c^2
6^2 + 8^2 = c^2
36 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
√100 = c
10 = c
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A sequence of transformations maps triangle ABC into triangle A’B’C