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lawyer [7]
3 years ago
8

What is the maximum number of possible extreme values for the function f(x)=x^4+x^3-7x^2-x+6

Mathematics
2 answers:
Pie3 years ago
6 0

Answer: 3

Step-by-step explanation:

A P E X

notka56 [123]3 years ago
3 0

A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.


(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)

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What is the overlap of Data Set 1 and Data Set 2?
erastovalidia [21]

Answer: Answer:

There is moderate level of overlap between the two data sets.  

Step-by-step explanation:

Overlap of data sets.

Overlap measures the degree of duplication that exists within data sets.

It is an indicator of the degree to which data are identical.

We are given two data sets in the question.

We have to find the amount of overlap in data set 1 and in data set 2.

There are 8 data points in data set 1 as shown in the image.

There are 8 data points in the data set 2 as shown in the image.

Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.

Thus, we could say there is moderate level of overlap between the two data sets.

3 0
2 years ago
Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.
Fynjy0 [20]

\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

\frac{x}{3}+\frac{x}{7}=\frac{45}{60}\\\\\frac{7x+3x}{21}=\frac{3}{4}\\\\\frac{10x}{21}=\frac{3}{4}\\\\x=\frac{3\times 63}{4\times 10}=\frac{63}{40}=1\frac{23}{40}\ miles.

Hence,

1\frac{23}{40}\ miles\text{ far she live from school.}

8 0
2 years ago
Solve using the quadratic formula: 2x2-9x+12=0
marta [7]

Answer:

no solution

Step-by-step explanation:

For getting the nature of solution of the quadratic equation of the form:

ax² + bx + c = 0

We need to find Discriminant which is:

Discriminant (D) = b² - 4ac

  • If D < 0, there is no solution of equation.
  • If D = 0, there are two equal and real solution of equation
  • If D < 0, there are two real and distinct solution of equation

Here we have equation is:

2x² - 9x + 12 = 0

∴ a=2, b = -9, c = 12

⇒ D = 81 - 4 × 2 × 12 = -16 < 0

Hence, there is no solution of given equation.

5 0
3 years ago
Wht is the answer to this answer. what is a kilogram and milgram's
LiRa [457]

Answer:

a kilogram = 1000 grams

milgram = 0,001 grams

5 0
3 years ago
Read 2 more answers
The school is holding an art fair for a fundraiser. There are three rooms from which to choose, each with 4 tables of activities
nikklg [1K]
3 x 4 = 12. hopefully that helps
8 0
2 years ago
Read 2 more answers
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