Which of the following described (5+5) in the expression above?

An nth degree polynomial function with real coefficients satisfying the given condition is, \(x^3-16x^2+61x+194.\)

What is polynomial?

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables. x2 - 4x + 7 is an illustration of a polynomial with a single indeterminate x.

As n = 3 so the polynomial is 3rd degree polynomial.

Also -2, and 9 + 4i are the zeros of the polynomial.

Since the imaginary roots are always occur in pairs.

So, 9 - 4i is also the zero of the polynomial.

Therefore, the equation is,

\(y=a(x+2)(x-9-4i)(x-9+4i)\\\)

f(1) = 240    (given)

Plug x = 1 in the above equation.

\(y(1) =a(1+2)(1-9-4i)(1-9+4i)\\240 =a(3)(-8-4i)(-8+4i)\\240 = a(3)(64+16)\\\\240 = 240a\\a = 1\)

Therefore,

\(y=(x+2)(x-9-4i)(x-9+4i)\\y= x^3-16x^2+61x+194\)

This is the 3rd degree polynomial satisfying the  given condition.

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If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Step-by-step explanation:

1) Molecular weight = vapour density × 2 = 43 = 86

→ Empirical formula × n

→ n = molecular weight/vapour density = 86/43 = 2

hope this answer helps you dear..and about other I have no idea!

I dont understand you already answered

Answer: I would love to help you but this looks like a test am I'm sure it's to see where you are in learning all I can say is to try your best and if you don't know the answer looks at notes or whatever you have to help hope you have a good day lad.

The equation of line in the point slope form is y = 2x + 8

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Let temperature be denoted as x

Let the time be denoted as y

Let the initial temperature be = 0°F

Let the final temperature be = 1°F

Let the initial time be = 8 : 00 AM

Let the final time be = 10 :00 AM

And , the first point be P = P ( 0 , 8 )

The second point be Q = Q ( 1 , 10 )

Now , the slope of the equation is given as

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 10 - 8 ) / ( 1 - 0 )

Slope m = 2

Now , the equation of line is given as y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 8 = 2 ( x - 0 )

y - 8 = 2x

Adding 8 on both sides of the equation , we get

y = 2x + 8

Therefore , the value of A is y = 2x + 8

Hence , the equation is y = 2x + 8

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Step-by-step explanation:

could you make the question full please

tan²(8x) = sin²(8x) / cos²(8x)

… = (1 - cos²(8x)) / cos²(8x)

… = 1 / cos²(8x) - 1

… = 2 / (1 + cos(16x)) - 1

where the last equality follows from the half-angle identity for cosine,

cos²(x) = (1 + cos(2x)) / 2

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

74 Degrees

Step-by-step explanation:

How i got it was we already know a triangle equal 180 degrees so you have to just add 69 degrees by 37 degrees and once you get the answer to the subtract it by 180 degrees and you get 74 degrees.

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer: I thnk you just break each number in half and then determine the ratio

Step-by-step explanation:

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

4x-3/x+6 sccording to my calculator

Step-by-step explanation:

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

Answer:

12/13

Step-by-step explanation:

P(card is not an Ace) =

(# of ways to not pick an ace) / (# of ways to pick a card from the deck) =

(52 - 4)/(52) =

48/52 =

12/13

Answer:

26

Step-by-step explanation:

All you have to do is add up all the sides and lengths of the rectangle. 7+6+5+8=26

Answer:

The Answer is C

Step-by-step explanation:

Anna draws a angle that intercets at 1

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The exact number of points at which the two rays will intersect is 1. The correct option is C.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

As per the definition of an angle, the point at which the two of the given rays will intersect each other is exactly 1 point.

Hence, the exact number of points at which the two rays will intersect is 1.

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Answer:

i think it is 5 cm

(sorry if iam wrong)

Step-by-step explanation:

The option that best describes the elevation of Desert Shores is; A. Desert Shores is lower than 55 meters below sea level.

We are told that the elevation of Desert Shores, California, is less than -55 meters.

Now, an elevation of a natural landmass like this is usually given with reference to the sea level. If above sea level, it is positive but if below sea level, it is negative.

Now, the elevation is negative as we can see that it is given as -55 meters. Thus, we can easily conclude that Desert Shores is lower than 55 meters below sea level.

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Answer:

did you figure out the answer I'm sorry they don't have a comment section on ur photo

Answer:

P(Gum) ≠ P(Gum/Cavity)

Step-by-step explanation:

Answer on Edge

Answer: y=1/2x+3

Step-by-step explanation: Put you ordered pairs on a graph and find your slope, once you find your slope you can finish the line then you can find the y-intercept

Answer:

D

Step-by-step explanation:

Pluck in the values, we have:

4.5/2.4 - 6 = 20/2 = 10

The equation of the line is given as y = -2x + 22. This means that when x  is equal to zero, y = 22. M also shows how steep the line is, being the gradient.

In order to arrive at a logical solution, we must assume the value of the slope as this is not given.

Assuming the slope of the line is -2, we thus can say:

The equation of a line that passes through a point (x₁,y₁) and a slope m is given by

(y - y1) = m (x - x1)

Recall that the slope, m = -2

While
Point (x1, y1) = (7, 8)

Hence, the equation of the line is:

y-8 = (-2) (x-7)

y-8 = -2x + 14

y = -2x+ 14 + 8

Hence,

y = -2x + 22

Thus, the equation of the line is:
y = -2x + 22

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Answer:

78

Step-by-step explanation:

The midpoint of the line segment with the endpoints is (4, 1)

The endpoints are given as:

E= (-2,8) and F = (10, -6)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (-2 + 10, 8- 6)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (8, 2)

Evaluate the products

So, we have:

Midpoint = (4, 1)

Hence, the midpoint of the line segment with the endpoints is (4, 1)

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Answer:

Step-by-step explanation:

Ans-1.)

q 2  = 9 /100 (A) q = 0.3 (p + q) 2  = 1 p + q = 1 p = 1- q = 1 - 0.3 p = 0.7 * The frequency of black color allele is 0.3 and dominant allele is 0.7 (C)

Ans -2.) CRISPR -Cas 9 system has very wide application :

* can be used to disable the dominant deleterious genes .

* Turn on and off by disabling Cas9 nuclease activity and attaching to a transcriptional activator or repressor protein.

* widely used to study function

Ans-3.) Genome wide association studies are important to study behavioral disorders because

* candidate genes identified for further studies.

* Provide an association between  genetic loci and phenotypes.

* Provide a tool to help understand how genetic and environmental factors interact to pyschiatric disorders  

Answer:

yes

Step-by-step explanation: