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Digiron [165]
3 years ago
14

Find all relative extrema of the function. use the second derivative test where applicable. (if an answer does not exist, enter

dne.) f(x) = x2 + 3x − 1

Mathematics
1 answer:
Alinara [238K]3 years ago
7 0
The given quadratic describes a parabola that opens upward. Its one absolute extreme is a minimum that is found at x = -3/2. The value of the function there is
  (-3/2 +3)(-3/2) -1 = -13/4

The one relative extreme is a minimum at (-1.5, -3.25).

_____
For the parabola described by ax² +bx +c, the vertex (extreme) is found where
  x = -b/(2a)
Here, that is x=-3/(2·1) = -3/2.

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the materials to make the cards:)

Step-by-step explanation:

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3 years ago
PLEASE HELP! NEED THIS DONE NOW!!!<br><br> 2x + 2y = 14 3x - y = 5<br><br> Show your work please!!
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2 years ago
One researcher wishes to estimate the mean number of hours that high school students spend watching tv on a weekday. a margin of
PtichkaEL [24]
Margin of error, e = Z*SD/Sqrt (N), where N = Sample population

Assuming a 95% confidence interval and substituting all the values;
At 95% confidence, Z = 1.96

Therefore,
0.23 = 1.96*1.9/Sqrt (N)

Sqrt (N) = 1.96*1.9/0.23

N = (1.96*1.9/0.23)^2 = 262.16 ≈ 263

Minimum sample size required is 263 students.

3 0
3 years ago
Read 2 more answers
Of the 58 employees in a firm, 8 are considered support staff, and 7 of the employees have more than five years of experience. A
polet [3.4K]

Using statistical concepts, it is found that the number of outcomes that are possible for the complement of the union of Events J and K is of 43.

<h3>What is the union of events J and K?</h3>

It means that at least one of event J or event K is true, hence, it is composed by employees that are either considered support staff(less than 5 years of experience) or employees that have more than five years of experience, combining a total of 7 + 8 = 15 employees.

<h3>What is the complement?</h3>

The total number of outcomes of the union of J and K, plus the complement, add to the total number of 58, hence:

15 + x = 58

x = 43.

The number of outcomes that are possible for the complement of the union of Events J and K is of 43.

More can be learned about complementary events at brainly.com/question/9752956

6 0
1 year ago
Help picture below problem 16
kirill115 [55]

Answer:

Regular Hexagon

Step-by-step explanation:

There are six sides and all sides are equal

8 0
2 years ago
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