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Scilla [17]
1 year ago
11

what is the maximum number of relative extrema contained in the graph of this function ? F(x) = 3x^4 - x^2 + 4x - 2

Mathematics
1 answer:
Mademuasel [1]1 year ago
7 0

The maximum number of relative extrema of the given polynomial is; 3

<h3>How to find the maxima of a Polynomial Function?</h3>

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

Read more about Polynomial Maximum at; brainly.com/question/13710820

#SPJ1

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Solve the following system of equations algebraically:<br> 4x - 5y = 18<br> 3x – 2y = 10
fiasKO [112]

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

8 0
3 years ago
A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh
Rainbow [258]

The difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the​ bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the​ bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

Read more about depth at:

brainly.com/question/17147411

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8 0
1 year ago
What are the coordinates for the points of intersection
stira [4]

Answer:

d

Step-by-step explanation:

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7 0
2 years ago
The length of a rectangle is 1 less than twice the width.
vladimir1956 [14]

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7 0
3 years ago
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A vehicle uses 2 1/4 gallons of gasoline to travel 16 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
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The answer is 12 miles per hour
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