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algol13
3 years ago
12

Calculate the average rate of change for the function f(x) = −x4 + 4x3 − 2x2 + x + 1, from x = 0 to x = 1.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0
<span>For the answer to the question above,
The average rate of change = [f(1)-f(0)] /(1-0) 

f(x) = -x^4+4x^3-2x^2+x+1 
Then substitute it with the given value,
f(1) = -1+4-2+1+1 = 3 
Then simplify and solve.

f(0) = 1 
[f(1)-f(0)] /(1-0) = (3-1)/1 = 2</span><span>I hope my answer helped you</span>
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Is 2/3 equivalent to 1/3 if it isn't then which is bigger plz help and will give a thanks
lina2011 [118]
Compare the enumerators because they have the same denominator. 2 is large than 1 so 2/3 is larger than 1/3

Hope this helps!
7 0
3 years ago
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The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Whic
NeX [460]

Answer:

A summary of the data is as follows;

1. Maximum = 34

2. Minimum = 24

3. The 1st quartile is 27

4. The median is or the 2nd quartile 34

5. The 3rd quartile is 33

The data is summarized in the attached box plot

Step-by-step explanation:

24, 25, 29, 30, 31, 31, 32, 34, 34

From the given data, we have the five values of a box and whisker plot as follows;

1. Maximum = 34

2. Minimum = 24

3. The 1st quartile is the \frac{9 + 1}{4} th term or 27

4. The median (2nd quartile) is the \frac{9 + 1}{2} th term or 34

5. The 3rd quartile is the \frac{3(9 + 1)}{4} th term or 33

Hence the attached box plot summarizes the data.

6 0
3 years ago
A town has a population of 12000 and grows at 5% every year. What will be the population after 12 years, to the nearest whole nu
Marizza181 [45]

Answer:

  21,550

Step-by-step explanation:

An increase of 5% means the population is multiplied by 100% +5% = 1.05. This occurs each year for 12 years, so the multiplier is ...

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When the initial population is multiplied by this factor, it becomes ...

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5 0
3 years ago
Which of the following vectors are orthogonal to (1,5)? Check all that apply
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We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal

</span><span>A. (-2,5)
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</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are  orthogonal 

<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal 

<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are  orthogonal 

the answer is 
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7 0
3 years ago
A(n) _____ is the set of possible values for a given attribute
Sladkaya [172]
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6 0
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