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4 years ago

Which operation, when performed on two polynomials, always results in a polynomial? Select all that apply.

Mathematics

1 answer:

Xelga [282]4 years ago

8 0

Answer:

B. Division

You cannot add anything when you divide, so it would remain a polynomial.

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The publisher of a recently released nonfiction book expects that over the first 20 months after its release, the monthly profit

wolverine [178]

Answer:

(a) $\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

(b)P'(5)=-($4.54) Thousand

(c)P'(11)=-($2.10) Thousand

(d)The fifth Month

Step-by-step explanation:

Given the monthly profit model:

$P(t)=\frac{240t-40t^2}{t^2+20}$

(a)We want to derive a model that gives the Marginal Profit, P' of the book.

We differentiate

$P(t)=\frac{240t-40t^2}{t^2+20}$ using quotient rule.

$\frac{dP}{dt}=\frac{(t^2+20)(240-80t)-(240t-40t^2)(2t)}{(t^2+20)^2}$

Simplifying

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

We have derived a model for the marginal profit.

(b) After 5 months, at t=5

Marginal Profit=P'(5)

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

$P^{'}(5)=\frac{4800-1600(5)-240(5)^2}{(5^2+20)^2}$

=-($4.54) Thousand of dollars

(c)Marginal Profit 11 Months after book release

$P^{'}(11)=\frac{4800-1600(11)-240(11)^2}{(11^2+20)^2}$

=-($2.10) Thousand of dollars

(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.

6 0

3 years ago

Martin charges $15 for every 5 bags of leaves he rakes. Last weekend, he raked 26 bags of leaves. How much money did he earn

son4ous [18]

$78 is what he earned. 15/5=3. 3*26=78

7 0

3 years ago

Read 2 more answers

What is the distance between the points plotted below? If necessary, round your answer to two decimal places.

34kurt

(-1,1) (6,9)
distance = root (x1-x2)²+(y1-y2)²
so root (-1-6)²+(1-9)²= root 113 or 10.6 ≈11
the answer is B. 11.18 units

8 0

3 years ago

Read 2 more answers

If you drank a third of a carton of milk and a friend drank a fourth of a carton of mild. Who drank more milk

sp2606 [1]

You drank more milk

6 0

3 years ago

Can you someone me, please!!! :0

max2010maxim [7]

44:56

im probably wrong im so sorry

8 0

3 years ago