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sleet_krkn [62]
3 years ago
11

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

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Coming from a 6th grader but I hope this is right!

Polynomials of degree greater than 2 can have more than one max or min value. The largest possible number of minimum or maximum points is one less than the degree of the polynomial. The following examples illustrate several possibilities.

since the degree is 4

number of possible extreme values = 4 -1 = 3

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The high school tennis team is selling tennis balls to raise ​$500 for new equipment. They sell the balls for ​$4 each. A case h
Citrus2011 [14]

Answer:

1.75 cases need to be sold

Step-by-step explanation:

The complete question is

The high school tennis team is selling tennis balls to raise $500 for new equipment.They sell the balls for $2 each.

4).How many cases of tennis balls does the tennis team have to sell in order to raise enough money for new equipment.

Solution

Price of each ball = $4

No. of balls in each package = 3

Total number of balls that need to sold in order to raise $500 is

\frac{500}{4} = 125

one package = 3balls

Hence no of packages to be sold

\frac{125}{3} = 41 packages and 2 balls or total 42 packages

1 case has 24 packages , thus total number of cases to be sold = \frac{42}{24} = \frac{14}{8} = \frac{7}{4} = 1.75

6 0
3 years ago
Christine used 12 cubes to make this 3-step staircase. If she used a total of 56 cubes to make a similar staircase, how many ste
katen-ka-za [31]
What we have here are steps where each step requires twice as many blocks as the height of the steps. If you would like to check this math we can look at the staircase given:
3x2 + 2x2 + 1x2 = 6 + 4 + 2 = 12. 

We can see that the math works, so now we can do the same work to find out how many steps 56 cubes can make. 

6x2 + 5x2 + 4x2 + 3x2 + 2x2 + 1x2 = 42 (6 steps)
<span>7x2 + 6x2 + 5x2 + 4x2 + 3x2 + 2x2 + 1x2 = 56 (7 steps)
</span>
Therefore, the answer is B. 7 steps.
6 0
4 years ago
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A $60,000 piece of machinery depreciates in value at a rate of 11% per year. About what will its value be in 5 years?
kicyunya [14]

Answer:

$27000

Step-by-step explanation:

11% of 60000 is 3300 per year. You need the value for five years so multiply 3300 * 5 to get 33000. 33000 is the total depreciation of the five years. Then subtract 33000 from 60000 to get 27000.

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3 years ago
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In a triangle ABC, M
kotegsom [21]
Here is for you
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4 0
3 years ago
A map has a scale of 1 cm to 2.3 km. The real-life distance between two towns is 69 km. What is the distance between the two tow
lina2011 [118]

Answer:

Step-by-step explanation:

Cm : km

1     :  2.3

x    :  69         Cross multily

2.3x = 69

x      =\frac{69}{2.3}

x      = 30cm

the distance between the two towns on the map is 30cm

6 0
4 years ago
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