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kvv77 [185]
3 years ago
5

EXPAND AND PLEASE EXPLAIN FOR BRAINLIEST (x-1)(x+1)

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
6 0

Answer:  The answer is x^2-1

Step-by-step explanation:

Step 1: Multiplication can be transformed into difference of squares using the rule: (a−b)(a+b)=a^2  −b^2

 x^2 −1^ 2

Step 2: Calculate 1 to the power of 2 and get 1.

x^ 2  −1

Eddi Din [679]3 years ago
4 0

Answer:

x^2 -1

Step-by-step explanation:

-1×x + -1×1 + x×1 + x×x

= x^2 -x +x -1

= x^2 -1

{x}^{2}  - 1

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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
48(13/24)<br><br> multiply 48 and 13 over 24
marta [7]

Answer:

when 48 multiply by 24 the answer is 1152

when 13 multiply by 24 the answer is 312

3 0
3 years ago
Read 2 more answers
How to find increase percent from 44 to 48
lesantik [10]
9.09% increase.

First find the difference between the two numbers.

(4)

then, divide the result by the original amount...

4÷ 44

then multiply by 100

9.09 and that is to the nearest 10th otherwise your answer 9% increase from 44 to 48.
3 0
3 years ago
One angle of a triangle has a measure of 3 times as large as the smallest. The measurement of the 3rd angle is 40 degrees more t
MrMuchimi

The largest of the three angles is 84°.

Hope this helps! :)

3 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
artcher [175]

Answer:

17 kilometers

Step-by-step explanation:

The pythagorean theorm is a^2 + b^2 = c^2

In this problem we can call 8 km a and 15 km b.

Plug 8 and 15 into the pythagorean theorm to get 8^2 + 15^2 = c^2

This will give you 289=c^2

Take the square root of both sides to get c=17

Hope this helps!

6 0
3 years ago
Read 2 more answers
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