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HACTEHA [7]
3 years ago
9

You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the va

lue of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.
Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.

x -3 0 3 6
f(x) -5 4 1 7
f'(x) -1 2 -2 4

The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by

g(x)= f(x^3-x )

Required:
What is the value of g (3)?
Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:

Step-by-step explanation:

Not hard

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3 0
2 years ago
Would you rather drive 0.3 miles to fill up for $3.59 per gallon OR drive 1.2 miles to fill up for $3.41 per gallon?Please expla
Vsevolod [243]
We know that, in the US, the average mile per gallon was 25 mpg in 2015. Since we don't have the mile per gallon of the car in our problem, we are going to use that average.
For our first situation, <span>drive 0.3 miles to fill up for $3.59 per gallon:
</span>\frac{25miles-----\ \textgreater \ 1gallon}{0.3miles-----\ \textgreater \ xgallons}
\frac{25}{0.3} = \frac{1}{x}
x= \frac{(1)(0.3)}{25}
x=0.012
<span>We just proved that in our trip, we used 0.012 gallon, and at $3.59 per gallon; we will pay  (0.012)(3.59)=$0.04 for that gasoline.

For our second situation, </span><span>drive 1.2 miles to fill up for $3.41 per gallon:
</span>\frac{25miles-----\ \textgreater \ 1gallon}{1.2miles-----\ \textgreater \ xgallons}
\frac{25}{1.2} = \frac{1}{x}
x= \frac{(1)(1.2)}{25}
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We just proved that in our trip, we used 0.048 gallon, and at $3.41 per gallon; we will pay  (0.048)(3.41)=$0.16 for that gasoline.

We can conclude that is much better to drive 0.3 miles to fill up for $3.59 per gallon than drive <span>1.2 miles to fill up for $3.41 per gallon.</span>
8 0
3 years ago
How do you write $2.161616 as a fraction and mixed number
faltersainse [42]
2.161616 =  2.161616/1 =21. 61616/10 = 216.1616/100 = 2161.616/1,000

= 21616.16/10,000 = 216161.6/100,000 = 2161616/1,000,000
As a mixed number = 2(161616/100,000)

8 0
3 years ago
Samantha has 3 cats. She has 10 treats left in the pantry for them. If she splits the treats equally among the 3 cats, how many
dezoksy [38]

Answer:

3 treats each.

Step-by-step explanation:

3 cats divided by 10 = 9 remainder 1 and 3 times 3 = 9.

6 0
3 years ago
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