Chứng minh hệ thức De Morgan sau:
~(P ^ Q) = ~P v ~Q

Domain of a any cubic function [tex]f(x)=ax^3+bx^2+cx+d[/tex] is defined to be always [tex]\mathbb{R}[/tex].

The derivative with respect to x of your cubic function is,

[tex]\dfrac{d}{dx}f(x)=f'(x)[/tex]

to find the derivative of a polynomial function, simply take a derivative of each factor and sum them up,

[tex]\dfrac{d}{dx}x^3=3x^2[/tex] by the rule [tex]\dfrac{d}{dx}x^m=mx^{m-1}[/tex] where [tex]m\in\mathbb{R}[/tex]

[tex]\dfrac{d}{dx}-6x=-6[/tex]

[tex]\dfrac{d}{dx}3=0[/tex]

So the derivative is,

[tex]f'(x)=3x^2-6[/tex]

both derivative and the original function have equal domain.

Hope this helps :)

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

Does the answer help you?

Opportunity Cost of attending college, in terms of room and board is $4000 . Explicit Cost, Implicit Cost of attending college is $14000, $20000. Total Opportunity Cost of attending college is $34000

1. Opportunity Cost is the cost of next best alternate foregone, as in value of sacrifice made, while choosing an alternative.

2. Explicit Cost is the actual out of pocket cash expenses outflow, done for choosing an option. Eg : Cash expenditures

3. Implicit Cost is the implied estimated cost of self supplied factors of production, like value of self labour & self owned land etc.

4. Total opportunity cost of attending college = Explicit Cost + Implicit Cost = 14000 + 20000 = 34000

To learn more, refer https://brainly.com/question/12121515?referrer=searchResults

Answer:

B

Step-by-step explanation:

the data value of x is 0 the the value would be .75 times that by 2 get 1.25

Answer:

Step-by-step explanation:

Replace (x, y) with (1, 1) and verify if the equations are correct.

You would ignore the x and y in the equations. Testing one of each pair.

It is obvious that only b. is correct.

Answer:

9: tens place

4: tenths place

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

To find the percent, take the cost of the books over the total

336/2100

.16

Multiply by 100 to change to percent

16%

Answer:

The correct answer is no.B

a common factor of 5, 15 and 25 is 1 and 5

the negative will shift the graph right, so x = 1/2

the negative 2 will shift the graph down, so y = -2

Thus, the vertex is (1/2, -2)

Answer:

373yeyehshshbdbddbdhshbdbd

Answer:

Hello,

Step-by-step explanation:

[tex]E=\{-22,-14,-12,-11,-8,7,11,27\}\\\\a) \{x \in E\ | x<-10\}=\{-22,-14,-12,-11\}\\\\b) \{x \in E\ | x > -5\}=\{7,11,27\}\\\\\\c) \{x \in E\ | -15 < x< 15\}=\{-14,-12,-11,-8,7,11\}[/tex]

Answer:

9,905,482=

Million place

9,905,482=

one hundred thousandth

Answer:

C

Step-by-step explanation:

the fibrin definition tells us that the first term of the sequence a1 = 6

so, B is out.

and for every following term we always add 7 to every previous term to create the next one.

so, when I add 7 to 6, what is my second term in the sequence ? 7+6 = 13

not 42, not -7

therefore, only C is correct.

and 13+7 = 20

and 20+7 = 27

it all fits

Answer:

6 * 12 / (6+12) = 72 / 18

If they work together they can finish in 4 days.

Source: http://www.1728.org/work.htm

Step-by-step explanation:

Answer:

Ask in English then I can help u

Answer:

601 in²

Step-by-step explanation:

To obtain the amount of wrapping needed to cover the cube shaped gift box, including the bow

Area of bow = 115 in²

Surface area of cube shaped box = 6a²

a = side length of cube = 9

Hence,

Surface area of gift box = 6 * 9²

Surface area = 6 * 81 = 486 in²

Total wrapping required = area of gift box + area of bow = (486 in² + 115 in²) = 601 in²

Answer:

Step-by-step explanation:

y varies with the square of x:

y = kx²

y equals 24 when x equals 10

24 = k·10²

constant of proportionality k = 0.24

when x = 20, y = 0.24·20² = 96

"select two answers"  —where are the choices?

Answer:

Step-by-step explanation:

I think you got it correct. The reciprical of this function is y = x.

Answer:

Step-by-step explanation:

[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]

[tex]\\ \sf\longmapsto 2396\times 78 +2396\times 22[/tex]

[tex]\\ \sf\longmapsto 2396(78+22)[/tex]

[tex]\\ \sf\longmapsto 2396(100)[/tex]

[tex]\\ \sf\longmapsto 239600[/tex]

Answer:

x=0,5/2

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

A significant figure is the most important (largest) number you can round it to.

As it wants 1 significant figure, you count 1 to the left and round the 4 down.

Hope this helps :)

Answer:

17

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

Answer:

The 7th term is 10 and the 9th term is 16

(and the common difference d = 3)

Step-by-step explanation:

If by calculate the numbers, you mean the 7th term and 9th term, first, you will determine the common difference.

The nth term of an A.P is given by the formula

Tₙ= a+(n-1)d

Where Tₙ is the nth term

a is the first term

and d is the common difference

From the question,

a = -8

T₇ : T₉ = 5:8

From the formula

T₇ = a + (7-1)d = a + 6d

and T₉ = a + (9-1)d = a + 8d

Then.

a + 6d : a + 8d = 5:8

But a = -8

∴ -8 + 6d : -8 + 8d = 5:8

We can write that

(-8 + 6d) / (-8 + 8d) = 5/8

Cross multiply

8(-8+6d) = 5(-8+8d)

-64 + 48d = -40 + 40d

48d - 40d = -40 + 64

8d = 24

d = 24/8

d = 3

∴ The common difference is 3

Now, for the 7th term

From

T₇ = a + 6d

T₇ = -8 + 6(3)

T₇ = -8 + 18

T₇ = 10

and for the 9th term

T₉ = a + 8d

T₉ = -8 + 8(3)

T₉ = -8 + 24

T₉ = 16

Hence, the 7th term is 10 and the 9th term is 16

Answer:

L1=78

W1=46

L2=78+4=82

W2=46+4=50

Area=L2×W2-L1×W1

82×50-78×46

Ans- 512ft^2

Answer:

54 cents

Step-by-step explanation:

(.54 * 1)+(.46*0) = .54

Answer:

The mean of these numbers is 15.68816 with a repeating 6.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x^3 – 21x^2 + 36x=3x(x^2-7x+12)=3x(x - 4)(x - 3)