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jenyasd209 [6]
3 years ago
7

Assume that f is continuous on [-4,4] and differentiable on (-4,4). The table gives some values of f'(x) x: -4, -3, -2, -1, 0, 1

, 2, 3, 4 f'(x): 74, 39, 10, -6, -14, -12, 0, 22, 55 a) estimate where f is increasing, decreasing, and has local extrema.
Mathematics
1 answer:
kondaur [170]3 years ago
4 0
f will be increasing on the intervals where f'(x)>0 and decreasing wherever f'(x). Local extrema occur when f'(x)=0 and the sign of f'(x) changes to either side of that point.

f'(x) is positive when x is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that f(x) is increasing on the intervals [-4, -2] and (2, 4].

f'(x) is negative when x is between some number between -2 and -1, up to some number less than 2. So f(x) is decreasing on the interval [-1, 1].

You then have two possible cases for extrema occurring. The sign of f'(x) changes for some x between -2 and -1, and again to either side of x=2.
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atroni [7]
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<h2>Please Mark me as brainlist. </h2>

8 0
2 years ago
Anais bought yards of ribbon. she had feet inches of ribbon left after trimming some curtains. how many inches of ribbon did ana
castortr0y [4]

<u>Anais bought </u><u>2 1/2 yards</u><u> of ribbon. She had </u><u>2 feet 8 inches</u><u> of ribbon left after trimming some curtains. Anais uses 58 inches of ribbon to trim the curtains.</u>

What is Unit Conversion?

  • Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion.
  • The units are expressed using scientific notation and converted into numerical values as per the quantities.

Anais bought 2 1/2 yards of ribbon.

And she had 2 feet 8 inches left after trimming some curtains.

The first thing to do is to convert all units to inches;

From standard conversion rate.

1 yard  = 36 inches

As such  2 1/2 yards of ribbon in inches will be:

= 2 1/2 × 36 inches

= 5/2 × 36 inches

= 5 × 18 inches

= 90 inches of ribbon bought.

Similarly, since 1 foot  = 12 inches.

The amount of curtains left after trimming is:

= ( ( 2 × 12 ) + 8 )inches

= (24 + 8) inches

= 32 inches

If Anais bought 90 inches of ribbon and she had 32 inches of ribbon left after trimming some curtains.

It implies that the number of inches of ribbon that Anais used is:

= 90 inches - 32 inches

= 58 inches

Therefore, we can conclude that Anais used 58 inches of ribbon.

Learn more about  Unit Conversion

brainly.com/question/2495501

#SPJ4

<u>The complete question is-</u>

Anais bought 2 1/2 yards of ribbon. She had 2 feet 8 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?

Anais used _____ inches of ribbon.

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1 year ago
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Answer:

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Each day Donna and Mary toss a coin to see who buys the other person coffee ​($2.34 a​ cup). One tosses and the other calls the outcome. If the person who calls the outcome is​ correct, the other buys the​ coffee; otherwise the caller pays. Assume that an honest coin is​ used, that Mary tosses the​ coin, and that Donna calls the outcome.

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kondor19780726 [428]
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Similarly, to know the decimal that is less that 0.8 by 10 times, simply divide 0.8 by 10 as follows:
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This means that 0.8 is 10 times larger than 0.08
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3 years ago
A<br> 2x + 5<br> 3x - 2<br> B+<br> X = [? ]
WITCHER [35]

Answer:   7

Step-by-step explanation:

They are alternate interior angle

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2x = 3x -7

-x = -7

x = 7

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