SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
C(x) = x^3-27x^2+240x+850.
a. Where is C(x) decreasing?
b. Where is C(x) increases?

Answers

Answer 1

Answer:

a) [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex].

b) [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].

Step-by-step explanation:

Let [tex]C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850[/tex], where [tex]x[/tex] is the quantity of insecticide, measured in hundreds of liters, and [tex]C(x)[/tex] is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of [tex]C(x)[/tex] are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

[tex]C'(x) = 3\cdot x^{2}-54\cdot x+240[/tex] (1)

Please notice that regions where C(x) is increasing has [tex]C'(x) > 0[/tex], whereas [tex]C'(x) < 0[/tex] when [tex]C(x) < 0[/tex].

We notice that [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex]. Besides, [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].

SUppose The Total Cost C(x) To Manufacture A Quantity X Of Insecticide (in Hundreds Of Liters) Is Given

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Step-by-step explanation:

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14y > 0 is the answer

Answer:

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4.) x^3-x^2-6x+8

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

1. 3

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3. -25

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Answer:

1.) -7 + 10 = 3  (Different signs, so you subtract and keep the sign of the bigger number).

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Answers

n + 5 = 2n - 6

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Answers

Answer:

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Step-by-step explanation:

The computation of the set of parametric equation would be

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Answer:

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Step-by-step explanation:

Answer:

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A box of cereal contains 340 grams of carbohydrates. If there are 12 servings, about how many grams are there in one serving? Show how you estimated. Explain why your answer is reasonable.

Answers

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Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

/ is another symbol for ÷

Answer:

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Step-by-step explanation:

There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
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Answers

Answer:

1) 4/35

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Step-by-step explanation:

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[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]

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Answers

Answer:

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4j

Answers

Answer:

4j=-4

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Step-by-step explanation:

Answer:

4j=-4  j=-1

Step-by-step explanation:

Question 1
Convert the mixed number to an improper fraction.

Answers

Step-by-step explanation:

to convert a mixed number to an improper fraction: take the big whole new on the right and multiply it by the denominators or number on the bottom of the fraction. then add thay amount to the numerator, or number on top and leave the denominator as it was before

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Answer:

Since you didn’t give us a mixed number is to turn into an improper fraction, I’ll show you how to do it.

Step-by-step Explanation:

First, you need to multiply the denominator by the whole number. Then, add the numerator to it. Lastly, you need to put the same denominator in that was from the mixed number to get an improper fraction. I’ll give you an example:

Look at the diagram below ↓

You can see that you need to multiply the denominator 4 and the whole number 2, which gives you 8. Then you add the numerator 3 to 8, which gives you 11. Lastly, you need to use the same denominator from the mixed, which was 4, and put it with the 11 to get the improper fraction [tex]\frac{11}{4}[/tex].

I hope you understand and that this helps with your question :)

Question 1
1 pts
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
A. an
4n + 29
B. an
25 +(-4)(n-1)
C. an = -25 +(-4)(n-1)
D. an
= 4 + 25
Edit
View
Insert
Format
Tools
Table

Answers

Answer:

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]

Step-by-step explanation:

Given sequence is:

25, 21, 17, 13,...

Here

a1 = 25

a2 = 21

a3 = 17

First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.

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[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]

The explicit formula is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

Putting the value of a1 and d

[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]

Hence,

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]

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Answers

Answer:

36

Step-by-step explanation:

The equation would turn out as 23--13

But when there are two negatives, it turns into a positive, creating the equation of 23+13

Then you add to equal 36.

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1 Mega Bag $10.24 for 32 02.
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2. Giant Bag $6.00 for 24 oz
$0.25
3 Medium Bag $4.48 for 16 oz.
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Answers

Answer:

1=0.32

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4=0.30

Step-by-step explanation:

You want to divide each price by the ounces.

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$6.00÷ 24=$.0.25

$4.48÷16=$0.28

$2.40÷ 8=$0.30

5TH GRADE LEVEL QUESTION: look at photo and answer.

Answers

Answer 11/20

Step-by-step explanation:

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5

Write all numerators above the least common denominator

15-4/20

Subtract numbers

11/20

What is 1.452 rounded to the nearest hundredth

Answers

Answer:

1.450

Step-by-step explanation:

what grade ar4e you in I'm guessing 4th or 5th

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