I honestly forgot about this lol please revive my brain

Polynomials are closed under the multiplication operation, meaning that the result of the multiplication between two polynomials will always be a polynomial.

To multiply polynomials, we first apply the distributive property, multiplying all terms, then we combine the like terms, that is, adding all the terms that have the same exponents.

Since all the factors of the multiplications will be of polynomial terms,  the results of the multiplication will be polynomial, and so will the like terms combined, hence polynomials are closed under the multiplication operation.

One example of multiplication of polynomials is given as follows:

(x² - 1)(x² + 1) = x²x² + x² - x² - 1 = x^4 - 1.

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Answer:

8

Step-by-step explanation:

Answer:

The equation is y=2x+4.hope it's solved

Answer:

Except the last one 3:6 because its not multiplied by six but divided. Therefore the correct answer is the last one

Step-by-step explanation:

hope it helps

When you compare 2.01 x 10 and 2.8 x 10, the larger number is 2.8 × 10.

It should be noted that multiplication simply means the product of a number. This is usually illustrated by the symbol ×.

In this case, it should be noted that 2.01 × 10 = 20.1

It should also be noted that 2.8 × 10 = 28

Therefore, the larger number is 2.8 × 10.

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Answer:

slope = (-3/22)

Step-by-step explanation:

(15, -51),  (-29, -45)

 (x₁, y₁)       (x₂, y₂)

        y₂ - y₁        -45 - (-51)        -45 + 51        6 ÷ 2          -3

m = ------------ = ----------------- = -------------- = ------------ = --------

        x₂ - x₁         -29 - 15             -44            -44 ÷ 2         22

I hope this helps!

Answer:

Gradient/slope: y2-y1/x2-x1

y1= -51

y2= -45

x1= 15

x2= -29

Slope:

-45-(-51)/-29-15

= -45+51/-44

=  -6/44

divide both by 2

= -3/22

The area of the rectangle when its width is 3 m is 39m².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares. The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given Data

A function rule for the area of a rectangle with a length 7 m more than three times its width.

Area of rectangle = Length(Width)

Area of function = (w) (3w+7)

Area of function = 3w² + 7w

If w = 3m

Area of function = 3(3)² +7(3)

Area of function = 3(9) + 21

Area of function = 18 + 21

Area of function = 39

the area of the rectangle when its width is 3 m is 39m².

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Answer: Neither They were the same shade of Grey.

Step-by-step explanation:

it’s the right answer trust me

Color would be the same for both statue and stone buildings.

Let's, consider paint black as = x

and paint white as = y

If both the paints are mixed then paint z which is grey is formed.

Represented as,

x(black) + y(white) = z(grey)

Whereas, for the stone building double the amount of black and white colors are being used,

2x + 2y = 2z, coating of grey color would be also double.

Canceling 2 from both sides,

x + y = z

x(black) + y(white) = z(grey)

Therefore color would be the same for both statue and stone buildings.

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The square root x^4= x^2

Answer:

[tex]x[/tex] = m - n x p

Step-by-step explanation:

m - n = [tex]x[/tex]/p

[tex]x[/tex] = m - n x p

Answer:

x = pm - pn

Step-by-step explanation:

  To make 'x' as the subject, isolate 'x'.

   [tex]\sf n + \dfrac{x}{p}=m\\\\\text{Subtract 'n' from both sides,}\\\\\dfrac{x}{p}=m-n\\\\\text{Multiply both sides by p,}\\\\p*\dfrac{x}{p}=p*(m-n)\\\\[/tex]

         x = pm - pn

The answers to both the subparts with the help of probability are:

So, Item A:

The expected value is the total of each result times the associated probability, so:

The $15 wager should have a value of -3.16 dollars.

Item B:

Therefore, the answers to both the subparts with the help of probability are:

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The complete question is given below:
When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15 on the number 34 or to bet ​$15 that the outcome is any one of the five possibilities 00 comma 0 comma 1 comma 2 comma or 3. The gambler knows that the expected value of the ​$15 bet for a single number is negative 0.79 cents. For the ​$15 bet that the outcome is 00 comma 0 comma 1 comma 2 comma or 3​, there is a probability of StartFraction 5 Over 38 EndFraction of making a net profit of ​$75 and a StartFraction 33 Over 38 EndFraction probability of losing ​$15. a. Find the expected value for the ​$15 bet that the outcome is 00 comma 0 comma 1 comma 2 comma or 3. b. Which bet is​ better: a ​$15 bet on the number 34 or a ​$15 bet that the outcome is any one of the numbers 00 comma 0 comma 1 comma 2 comma or 3​? ​Why?

Answer:

13/102

Step-by-step explanation:

We start with 52 playing cards. Of these 52 cards, 13 are diamonds, So the probability of a diamond is 13/52, or 1/4. There are now 51 cards left. Since the diamond is a red card, there are 26 black cards. So the probability of a black card is 26/51. Multiplying 1/4 and 26/51, and then simplifying, we have 13/102.

Using greatest common factor (GCF), the greatest possible length of each pipe is 12 dm.

The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.

If a carpenter has 2 pipes which are 60 dm and 72 dm long, respectively and he cuts them into equal lengths, then the greatest possible length of each pipe is the GCF of 60 and 72.

60 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

72 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 36, 72

common factors : 1, 2, 3, 4, 6, 12

GCF = 12

Hence, he should cut the two pipes into 12 dm long.

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Solution

0 2 0 3 3 1 5 3 1 6

For this case the range is defined like this:

Range = Max -Min

The maximum = 6

Minimum =0

Then the solution would be:

Range = 6-0 =6

The table that represents a proportional relationship between x and y is table 2.

A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor.

A proportional relationship is one in which two quantities vary directly with each other.

For example,

y = kx

where,

k  = constant of proportionality

You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values.

If those ratios are all the same, the table shows a proportional relationship.

Therefore, let's calculate the ratios of the table

Hence, the table 2 has a proportional relationship.

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the constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

We are given that 1 bulb out of every 9 bulbs is defective.

So, this means that if there is a total of 9 bulbs, then 1 bulb in it will be defective.

Let us assume:

Total bulbs = 9

So, this implies that:

Defective bulbs = 1

Constant of proportionality = Defective bulbs / Total bulbs.

Substituting the values in this, we get that:

Constant of proportionality = 1 / 9

Therefore, we get that, the constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

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Answer:38

Step-by-step explanation:

sense it subteact between

Answer: 38

Step-by-step explanation: subtract between

Answer:

-5/6

Step-by-step explanation:

The reason why the reciprocal is -5/6 is because to isolate the variable with a fraction attached is to multiply it by swapping the numerator and denominator. Also making sure that if the number is a negative, to multiply the number by another negative to cancel it out.

1.

1- I, 2- II, 3- III, 4-IV, 5- V, 6- VI, 7- VII, 8- VIII, 9- IX, 10- X.

2.

26 = 10+10+5+1 = XXVI

17 = 10 + 5+2 = XVII

29 = 10+ 10+ 9 = XXIX

30 = 10+10+10 = XXX

3.

15 = XV

21 = XXI

26= XXVI

33 = XXXIII

35= XXXV

44 = XLIV

49 = XLIX

50 = L

4.

70 = LXX

80= LXXX

83 = LXXXIII

89 = LXXXIX

90= XC

100= C

5.

date today X / X/ XXXXII  = 10/10/2022

the year 2022 = XXXXII

Given,

Sample mean = ±3 of true mean

Standard error = 1.8

Therefore,

Required probability of sample mean being within 3 units of the true mean is,

P ( sample mean - 3 < mean < sample mean + 3 )

= P [( sample mean - 3 ) - mean / 1.8 ] < mean - sample mean / 1.8 < [ ( sample mean + 3 ) - mean / 1.8 ]

= P ( - 1.67 < ∉ < 1.67)

= P (∉ < 1.67) - P( ∉ < 1.67)

= 0.952 - 0.047

= 0.905

Hence, the probability that the sample mean is within 3 units of the true mean if the standard error is 1.8 is 0.905.

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When we divide 27 by 7, we have 3; 3 * 7 = 21

27 - 21 = 6; we have a remainder of 6

Divide the remainder by 7, we have 6/7

Therefore, we have:

Answer: 0.049382716

Step-by-step explanation: SOLVE FOR R, X

x=

4

1215

​

=303

4

3

​

=303.75

r=

81

4

​

≈0.049382716

The simplified expression of 5^4 * 5^-6 is 5^-2

The expression is given as

5^4 * (5^-2)^3

Evaluate the product of exponents

So, we have

5^4 * 5^-6

The base of the above expression are the same

i.e. Base = 5

This means that we can apply the law of indices

So, we have

5^4 * 5^-6 = 5^(4 -6)

Evaluate the sum in the above equation

So, we have

5^4 * 5^-6 = 5^(4 -6)

Evaluate the difference in the above equation

So, we have

5^4 * 5^-6 = 5^-2

Hence, the simplified expression of the expression given as 5^4 * 5^-6 is 5^-2

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Answer: top: x= -15     bottom: x= -37

Step-by-step explanation: First you need to get x by itself so for example on the top one you would do 8-8 to get x alone and then you would also do -7- 8 because whatever you do to one side you have to do to the other.

Hope this helped!!!

Parallel lines l and m are intersected by p and q, which are also parallel. The parallelism of the lines p and q can be inferred.

According to the transitive property, "all the quantities are equal to each other if two quantities are equal to the third quantity."

Given: Line l is parallel to line m.

Angle 1 exists equal to angle 3.

Angles 1 and 3 are shown in the figure as equivalent angles that are equal.

Angle 1 created by line p and line l is equivalent to angle 3 created by lines q and m. Lines l and m are parallel as well. Since p and q form the same angle as two parallel lines, they too should be parallel.

In light of this, it can be said that lines p and q are parallel.

Therefore, it can be concluded that the lines p and q are parallel.

The complete question is:

Given: l || m; ∠1 ∠3 Prove: p || q Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the

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