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nydimaria [60]
3 years ago
6

Given f'(x) = (1 − x)(4 − x), determine the intervals on which f(x) is increasing or decreasing.

Mathematics
2 answers:
Sophie [7]3 years ago
8 0
The critical points are at x = 1 and x = 4 giving you the intervals (-inf, 1), (1, 4) and (4, inf).

By substituting x values in these 3 intervals, you can see that f'(x) is positive in the first and third intervals and negative in the second interval.

This means that f(x) is increasing in the first and third intervals and decreasing in the second interval.

The answer is D.
IgorC [24]3 years ago
6 0
To the risk of sounding redundant.

notice, your critical points are 1 and 4, so you check the regions about, namely, do a first-derivative test on them, check the picture below.

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Answer:

Here is the solution. Hope it helps.

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Rob notices that 55 percent of the people leaving the supermarket chhose plastic bags instead of paper bags. out of 600 people,
Temka [501]
To solve this answer, you are trying to find 55% of 600, because that is the number of people who chose plastic bag.

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3 years ago
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sattari [20]
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6 0
2 years ago
Which of the following is the solution of the following inequality?
Brums [2.3K]

Answer:

x = 3

Step-by-step explanation:

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5 0
2 years ago
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier
Vlad [161]
Let x be the number of days.

Daily pass:
65x + 30x
95x

Season pass:
400 + 30x

95x > 400 + 30x
65x > 400
x > 6.15

The number of days can't be 6.15, so you must round. You can't go down because then the price will be more expensive, so you have to round up.

It would take 7 days until the season pass is less expensive than the daily pass.
----------------------
You can check this by plugging in the x.

95x > 400 + 30x
95(7) > 400 + 30(7)
665 > 400 + 210
665 > 600
The daily pass is more expensive than the season pass.
3 0
3 years ago
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