Answer number 1 please thank you

Answer:

b) the coefficient of x of jamie's polynomial is 5 .

c) The two polynomials are :

x³ + 4x² + 5x + 4 

x³ - 2x² + 5x + 4

Step-by-step explanation:

consider these two Monic polynomials of degree 3:

P : x³ + ax² + bx² + c  

Q : x³ + a₁x² + bx² + c  

P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²

Now we compare the coefficients of P × Q and  x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16

b)

c² = 16 ⇒ c = 4  (c is positive)

2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .

c)

In order to find a and a₁ we need to solve this system:

a+a₁ = 2                   a+a₁ = 2

                      ⇔

aa₁+2b = 2              aa₁ = -8

Solve the system and you’ll get :

a = 4 and a₁ = -2   or a = -2 and a₁ = 4

Let’s choose a = 4 and a₁ = -2 then

the two polynomials are respectively:

P : x³ + ax² + bx² + c  = x³ + 4x² + 5x + 4

Q : x³ + a₁x² + bx² + c  = x³ - 2x² + 5x + 4

Answer:

8/11 or 73%

Step-by-step explanation:

# of office workers to whole

Find the percentage of 8/11

Hopefully this helps, good luck!

Answer:

??

Step-by-step explanation:

well according to G it's x=4±5i lol

Step-by-step explanation:

I couldn't figure it out on my own had to G it. sorry if this doesn't help

Answer:

Point D

Step-by-step explanation:

Each jump os 0.01 and as you go left it decreases in value but increases as it appearances. As we can see D is 3 and a half lines away from -0.1

Hope this helps and brainliest please

Answer:

point D

Step-by-step explanation:

as it increases its sums with 0.1

but in between the lines it sums up with 0.05.

Answer:

Answer: l = 82.5

Step-by-step explanation:

11/2 x 15 = 82.5.

Answer:

1. Mean is 14.5  Median is 13.5   Mode is 13

2. Mean is 84  Median is 84  Mode is 84

3. Mean is 26.6 Median is 27 Mode is 20

4. Mean is 87   Median is 87 Mode is 87

5. Mean is 14.6 Median is 14 Mode is 14,12

Step-by-step explanation:

Hope this helps!! May not be entirely right but tried to do it quick for you

Answer:

1/8 Hour(s) longer

Step-by-step explanation:

5/8-1/2= 1/8

Answer:

60 cubic inches

Step-by-step explanation:

volume of prism

= area of triangular base x length(or height)

= (1/2 x base of triangular base x height of triangular base) x length

= (1/2 x 2 x 3) x 20

= 60 cubic inches

hope this helps!

Answer:

39 deg

Step-by-step explanation:

The measure of an exterior angle is equal to half the difference of the measure of intercepted arcs.

(114-36)/2 = 39 deg

Answer:

and here's a us

Answer:

Arc cd = 60 degrees

Step-by-step explanation:

Angle E is an inscribed angle ....inscribed angle will intercept twice as many degrees of arc as the angle measure

  angle measure = 62    twice as many degrees of arc = 124  (b-c-d)

     bc = 64    so   cd  = 60    for the total of 124

Answer:

11. The sampling method is biased. This is because the researcher only interviews people coming out of the restaurant instead of people in the restaurant or walking on the street. This would be called convenience sampling.

12. There is bias in the question. The writer prefers chocolate over vanilla by the words used to describe the two flavors.

(Sorry if this was too late for you by the way.)

Answer:

same thing I am doing help me

Answer:

3. Volume =  

4  πr3

3

=  

4 ×π×93

3

=  972π

=  3053.6280592893 inches3

2.Volume =   πr2h

=  π×22×12

=  48π

=  150.79644737231 inches3

1.Volume =  

1  πr2h

3

=  

1 ×π×72×15

3

=  245π

=  769.6902001295 inches3

Step-by-step explanation:

volume calculator

Answer:

d

Step-by-step explanation:

d is not a function as it doesn't have correct function potential in linear x and y axis

Question:

Can anyone help been stuck for a while

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

30 regular flavors.

25 watermelon flavors.

Add them both and you get:
55.
Turn that into a fraction:

[tex]\frac{25}{55}[/tex]

The reason the numorator is 25 is because there are 25 watermelon flavors and 55 flavors total.

Find the GCD (or HCF) of numerator and denominator.

The GCD of 25 and 55 is 5.

Divide both the numerator and denominator by the GCD

25 ÷ 5 = 5

55 ÷ 5 = 11

Reduced fraction:

[tex]\frac{5}{11}[/tex]

Therefore, [tex]\frac{25}{55}[/tex] simplified to lowest terms is:

[tex]\frac{5}{11}[/tex]

Therefore, the answer is: [tex]\frac{5}{11} \\[/tex]

Answer:

Step-by-step explanation:

Use the distributive property.

Distributive property:

[tex]\sf{\dfrac{5}{6}=(12p-42) }[/tex]

Multiply by expand.

[tex]\Longrightarrow: \sf{\dfrac{5}{6}\cdot \:12p-\dfrac{5}{6}\cdot \:42}[/tex]

Solve.

5/6*12p=10p

5/6*42=36

Use the order of operations.

PEMDAS stands for:

[tex]\sf{\dfrac{5}{6}\cdot \dfrac{42}{1}=\dfrac{5*42}{6} }[/tex]

Divide.

42/6=7

Multiply.

5*7=35

Subtract.

35-35=0

[tex]\Longrightarrow: \boxed{\sf{10p-35}}[/tex]

Therefore, the correct answer is 10p-35.

I hope this helps. Let me know if you have any questions.

Answer:

[tex]10p - 35[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]\frac{5}{6}(12p - 42)[/tex]

[tex](\frac{5}{6}*12p) + (\frac{5}{6} * (-42))[/tex]

[tex]\frac{60p}{6}-\frac{210}{6}[/tex]

Step 2:  Simplify the expression

[tex]\frac{60p}{6}-\frac{210}{6}[/tex]

[tex]10p - 35[/tex]

Answer:  [tex]10p - 35[/tex]

Answer:

$900.47

Step-by-step explanation:

you minus $50.47 (%6) from $900.47

The total cost of an $849.50 laptop after adding a 6% sales tax will be equal to $900.47.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the data provided in the question,

Price of laptop = $849.50

A tax of 6% on the Price of the laptop, so the tax will be,

849.50 × 6/100 = $50.97

Then, the total cost of the Laptop will be,

$849.50 + $$50.97 = $900.47

To know more about Percentage:

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The probability of drawing two red buttons is:

P = 0.0326

There are:

So there are a total of 32 + 48 + 44 + 51 = 175

We assume that all the buttons have the same probability to being randomly drawn.

For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:

p = 32/175

For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:

q = 31/174

Finally, the joint probability is given by the product between p and q, this gives:

p*q = (32/175)*(31/174) = 0.0326

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

Start at 2 1/2 plot that. Then go to 3 3/10 which is 3 right of the whole number 3 and plot it. Lastly, draw lines or bumps to represent going from 2 1/2 to 3 3/10.

Step-by-step explanation:

The Simplest way (This includes the graphing part but I advise you to use the addition steps first)

I always like to convert mixed numbers into decimals.

2 1/2 is 2.5 and 4/5 is 0.8.

2.5 + 0.8 = 3.3 which is 3 3/10

Graph:

2 1/2 should be in the middle of the whole numbers 2 and 3.

That is your starting point.

Now to add 4/5 which is 0.8 you could do 2.5 + 0.8 = 3.3

You need to find your ending point.

Your ending point should be 3 tickmarks to the right of 3.

Now, you could draw hop marks or arrows starting from 2 1/2 to 4/5

Addition Steps:

First, convert 2 1/2 to an improper fraction.

2x2 + 1 = numerator.

4+1 = 5

5/2 is 2 1/2.

Now you need to find a common denominator for 2 and 5.

This should be 10.

Multiply 5/2 by 5/5

Multiply 4/5 by 2/2

25/10 and 8/10 should be the answers

Now do 25+8 but keep the denominator 10.

25+8 is 33/10.

You could convert it to 3.3 which is 3 3/10  

3 3/10 is on your number line.

21

The value of the home after 21 years is 200,000(1.035)^21=411,886.29

Answer:

1. x=10; y=10 x root 2

Step-by-step explanation:

This is a 45-45-90 triangle, so the legs of the right triangle have an equal length. The formula states that y=x root 2, which is 10, so 10 root 2. The other triangles are all 30-60-90 triangles.

Answer:

Used ti should be the correct answer

Step-by-step explanation:

Answer:

red 8/32 = 1/4

purple 14 / 32 = 7/16

yellow 6/32 = 3/16

green 4 / 32 = 1/8

Step-by-step explanation:

if you add all the crayons together you get 32

you put each number over 32 and then divide it

So, in response to the above question, we can state that equation the response is: There are countless options.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The two lines' equations are y = 1/4 (x - 4) and y = 1/4 (x - 1)

By equating them, we obtain: 1/4(x - 4) = 1/4x - 1.

To get rid of the fractions, multiply both sides by 4 as follows: x - 4 = x - 4

This equation may be written as 0 = 0, which is a constant.

The two lines coincide and have an endless number of solutions as a result.

Hence, the response is: There are countless options.

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Answer:

D. No solution

Step-by-step explanation:

Since, both the lines are going parallel to each other. Hence, there will be no solution.