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3 years ago

What is the maximum number of relative extrema a polynomial function can have?

1 answer:

4 0

Relative extrema occur where the derivative is zero (at least for your polynomial function). So taking the derivative we get

20x3−3x2+6=0

 This is a 3rd degree equation, now if we are working with complex numbers this equation is guaranteed to have 3 solutions by the fundamental theorem of algebra. But the number of real roots are 1 which can be found out by using Descartes' rule of signs. So the maximum number of relative extrema are 1.

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Which statement about these triangles is true

steposvetlana [31]

Answer:

Step-by-step explanation:

5 0

2 years ago

What is the greatest common factor of 44 and 47?

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

To get the GCF of 44 and 47, factor each value,then we choose copies of factors and multiply them.

4 0

3 years ago

using the coordinate plane shown below 1/3 point is plotted five units to the right of -4, for where should a four point be plan

Mrac [35]

we know that

the fourth point is plotted 5 units to the right of (-4,4)

the coordinate x of the fourth point is equal to

-4+5=1

the y-coordinate of the fourth point is the same y coordinate of (-4,4)

therefore

the coordinates of the fourth point is (1,4)

8 0

1 year ago

A 1-liter bottle of orange juice used to cost $2.85 at a food market. Its price has increased; the new price is 110 percent of t

AfilCa [17]

Answer:

The new price of the bottle is $ 3.14.

Step-by-step explanation:

Given,

Original price of 1-liter bottle of orange juice = $ 2.85,

Since, the new price is 110 percent of the original price.

Thus, the new price of the bottle = 110 % of the $ 2.85

$=\frac{110\times 2.85}{100}$

$=\frac{313.5}{100}$

$=3.135\approx 3.14$

Hence, the new price of the bottle is $ 3.14.

5 0

2 years ago

Read 2 more answers

The route used by a certain motorist in commuting to workcontains two intersections with traffic signals. The probabilitythat he

zavuch27 [327]

Answer:

a) 0.2

b) 0.2

c) 0.5

Step-by-step explanation:

Let $S$ be the event "the car stops at the signal.

In the attached figure you can see a tree describing all possible scenarios.

For the first question the red path describes stopping at the first light but not stopping at the second. We can determine the probability of this path happening by multiplying the probabilities on the branches of the tree, thus

$P(a)=0.4\times0.5=0.2$

For the second one the blue path describes the situation

$P(b)=0.4\times 0.5=0.2$

For the las situation the sum of the two green path will give us the answer

$P(c)=0.6\times 0.5 + 0.4\times 0.5=0.3+0.2=0.5$

7 0

3 years ago

Read 2 more answers