Determine whether the following expression is a polynomial in x? If it is not, state what x2 rules it out? 1 + - X 3 +4x3

Answer:

-1024

Step-by-step explanation:

multiply each number by 2

Answer:

2One-fifteenth

Step-by-step explanation:

\(3\frac{13}{15} - 1\frac{4}{5}\)

\(2\frac{13 - 12}{15}\)

2 \(\frac{1}{15}\)

Answer

y = f(x) = 3x - 1

Explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

Two lines that are parallel to each other have the same slope.

If the equation of a straight line is written in the form of y = 3x - 6,

,The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, in y = 3x - 6, the slope = m = 3

So, using the point-slope form,

y - y₁ = m (x - x₁)

m = 3

(x₁, y₁) = (2, 5)

x₁ = 2, y₁ = 5

y - y₁ = m (x - x₁)

y - 5 = 3 (x - 2)

y - 5 = 3x - 6

y = 3x - 6 + 5

y = 3x - 1

In function notation, y = f(x)

So, the equation of the line required is

y = f(x) = 3x - 1

Hope this Helps!!!

Shryia read a book cover to cover in a single session and had 402 pages left to read out of a total of 480 pages after reading for 1.5 hours. The average-rate at which she read was approximately 52 pages per hour.

To find the average rate at which Shryia read the book, we can use the formula:

\(Rate =\frac{ (Total Pages - Pages Left) }{Time}\)

Substituting the given values, we have:

\(Rate =\frac{ (480 - 402) }{1.5}\)

Simplifying this expression, we get:

\(Rate = \frac{ 78 }{1.5}\)

Evaluating the division, we find that Shryia read at an average rate of approximately 52 pages per hour.

It is important to note that the given information only provides data for the time taken and the pages left to read after 1.5 hours. We do not have the total time taken to read the entire book or the exact rate at which Shryia read. Therefore, the calculation above represents the average rate based on the given information.

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The volume of the right cylinder is 1017.88 m² = 324π m²

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

The properties of cylinder are :

It features two flat circular faces, two curved edges, and one curved surface.

The two circular flat bases are parallel to one another.

There isn't a vertex on it.

The radius of a circular base and the height of a cylinder determine its size.

The radius of the cylinder = 6 m

Height = 9 m

The volume of the right cylinder is π(radius)²height

= π * 6² * 9 = 1017.88 m² = 324π m²

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Step-by-step explanation:

Quadratic Zeros: One Only

Priya Ravindran

What are the zeros of f(x) = x² - 10x+25?

OA. x= -5 and x = 5

O B. x = 5 only

OC. x = -5 and x = 10

O D. x = -5 only

We can find the zeros of the quadratic function f(x) = x² - 10x + 25 by setting f(x) equal to zero and solving for x:

x² - 10x + 25 = 0

This quadratic equation can be factored as:

(x - 5)² = 0

Using the zero product property, we can see that this equation is true when:

x - 5 = 0

So the only zero of f(x) is x = 5.

Therefore, the correct answer is option B: x = 5 only.

Priya Ravindran

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 100, and then went down by 11% in 2014. How many robberies were there in Springfield in 2014?

If there were 100 robberies in Springfield in 2013 and the number of robberies went down by 11% in 2014, we can calculate the number of robberies in 2014 as follows:

Number of robberies in 2014 = Number of robberies in 2013 - 11% of Number of robberies in 2013

Using this formula, we get:

Number of robberies in 2014 = 100 - 0.11(100)

Number of robberies in 2014 = 100 - 11

Number of robberies in 2014 = 89

Therefore, there were 89 robberies in Springfield in 2014.

Answer:

D. be congruent

Step-by-step explanation:

vertical angles are angles that are across from each other on intersecting lines and they are always congruent

Answer:

3

+

1

5

+

1

8

Step-by-step explanation:

Kyle's use of effective language usage has allowed him to deliver a powerful and impactful speech about the tragedy of the Titanic.

Kyle has employed the use of powerful and descriptive language to effectively convey the tragic nature of the Titanic's sinking. Specifically, he has utilized the technique of contrast to emphasize the irony of the situation: the supposed "best of the best" technology ultimately led to the demise of many individuals.

Additionally, Kyle has employed emotive language to evoke feelings of sadness and loss, as the phrase "cold, watery grave" is a poignant description of the fate that many passengers met. By beginning his speech in this way, Kyle has set the tone for the rest of his presentation and has captivated his audience by creating a vivid and memorable image in their minds.

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Answer:

The range is 25

Step-by-step explanation:

Answer:

25 is the range

Step-by-step explanation:

173-148 is 25

Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

G would be like 75 ..

The answer is:

Nth term=200n-238

Answer is x=10

Step-by-step explanation:

1. The official lines of authority. 2. The formal lines of communication. 3. The base level of the organization.

Organizational structure box-and-lines diagrams show at least three things:

1. The official lines of authority: These diagrams illustrate the formal hierarchy within an organization, indicating the chain of command and reporting relationships. The lines represent the flow of authority and communication, highlighting who reports to whom. For example, a manager may have multiple employees reporting to them, and those employees may further have their own subordinates.

2. The formal lines of communication: These diagrams also depict the formal channels through which information flows within the organization. They show how information is passed between different levels and departments. For instance, a diagram may show that information flows vertically from top management to lower-level employees or horizontally between departments.

3. The base level of the organization: These diagrams display the entry-level positions within the organizational structure. This helps to understand the foundational roles that exist and how they fit into the larger structure. For instance, the diagram may indicate positions such as interns, junior associates, or entry-level staff.

In summary, organizational structure box-and-lines diagrams provide a visual representation of the official lines of authority, the formal lines of communication, and the base level of the organization. These diagrams help individuals understand the hierarchy, communication flow, and entry-level positions within an organization.

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Answer:

pretty sure both are yes

The yards that Mrs. Ward used to make the dress is 6 2/7 yards.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Ward has 9 yards of fabric to make

her daughter a dress and she used 6/7 of the

fabric on the dress.

The amount used will be:

= 6/7 × 9

= 54/7

= 6 2/7

She used 6 2/7 yards.

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The lower outlier boundary is 76.5 and the upper outlier boundary is 136.5.

Given information:Three quartiles for systolic blood pressure in a sample of 1213 women between the ages of 20 and 29 were Q-99,Q2 = 103, and Qs = 114. Part 1 of 3 Find the IQR. 1QR - 15We are required to find the interquartile range (IQR) of blood pressure in women.Interquartile range (IQR) is the difference between the upper quartile and lower quartile. It is given by the formula:IQR = Q3 - Q1Where Q1 and Q3 are the first and third quartiles respectively.

Substituting the values of Q1 and Q3 in the above formula,IQR = Q3 - Q1 = 114 - 99 = 15Hence, the interquartile range is 15. The IQR for the blood pressure in women is 15.Part 2 of 3 Find the upper and lower outlier boundaries.Outliers are the values that lie outside the range of (Q1 - 1.5*IQR, Q3 + 1.5*IQR). The lower outlier boundary is the minimum value in the data set that is not an outlier. The upper outlier boundary is the maximum value in the data set that is not an outlier. Therefore, we need to find the lower and upper outlier boundaries. Lower outlier boundary = Q1 - 1.5*IQRUpper outlier boundary = Q3 + 1.5*IQRSubstituting the given values in the above formulas,Lower outlier boundary = Q1 - 1.5*IQR= 99 - 1.5*15 = 76.5Upper outlier boundary = Q3 + 1.5*IQR= 114 + 1.5*15 = 136.5Therefore, the lower outlier boundary is 76.5 and the upper outlier boundary is 136.5.

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Answer:

Step-by-step explanation:

6

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

The mode  for the distribution of scores in the following frequency distribution table is 3, which is the second option.

This is a term used in statistics to refer to the number of highest occurrence. Mode refers to the value that highest the number of frequency. In finding the mode, it is better to orderly arrange the given data to help see the value that occurs more frequently as this is the mode.

For the values given in the distribution of scores in the frequency distribution table the mode is three  ( 3 ) and it is the second option

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Answer:

49.

7×7=49.

Step-by-step explanation:

i did this. hope it helps

The closest answer choice to this value is option 1, 33. Therefore, the best estimate for the unicity distance for an affine cipher is 33.

To find the best estimate for the unicity distance for an affine cipher, we can use the following formula:

Unicity Distance  (U) = (keyspace / entropy) × log2(1 / redundancy).

Given the answer choices:
1. 33
2. 35
3. 33
4. 26
5. 17.5

For an affine cipher, the keyspace is 26^2 (since there are 26 possibilities for both 'a' and 'b' in the equation

y = (ax + b) mod 26).

The entropy of English text is roughly 1.5 bits/character, and the redundancy is approximately 0.7.

Using the formula, we have:

U = (26^2 / 1.5) × log2(1 / 0.7)

U ≈ 33.49

Therefore, the best estimate for the unicity distance for an affine cipher is 33.

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The preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft is approximately $700 million.

To estimate the cost of building a 600-MW fossil-fuel plant, we can use the cost capacity exponent factor and the cost index.

First, let's calculate the cost capacity ratio (CCR) for the 600-MW plant compared to the 200-MW plant:

CCR = (600/200)^0.79

Next, we need to adjust the cost of the 200-MW plant for inflation using the cost index. The cost index ratio (CIR) is given by:

CIR = (current cost index / base cost index)

Using the given information, the base cost index is 400 and the current cost index is 1200. Therefore:

CIR = 1200 / 400 = 3

Now, we can estimate the cost of the 600-MW plant:

Cost of 600-MW plant = Cost of 200-MW plant * CCR * CIR

Using the information provided, the cost of the 200-MW plant is $100 million. Plugging in the values, we have:

Cost of 600-MW plant = $100 million * CCR * CIR

Calculating CCR:

CCR = (600/200)^0.79 ≈ 2.3367

Calculating the cost of the 600-MW plant:

Cost of 600-MW plant = $100 million * 2.3367 * 3

Cost of 600-MW plant ≈ $700 million

Your question is incomplete but most probably your full question was

Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79. What is he preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft?

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Answer:

y = -3.5x - 12

Step-by-step explanation:

Find the slope with rise over run: (y2 - y1) / (x2 - x1)

Plug in the points:

(9 + 5) / (-6 + 2)

14/-4

= -3.5

Then, plug this and a point into the equation y = mx + b to find b:

y = mx + b

9 = -3.5(-6) + b

9 = 21 + b

-12 = b

Then, plug this and the slope into the equation again:

y = mx + b

y = -3.5x - 12 will be the equation

Answer:

  y = -7/2x -12

Step-by-step explanation:

The two-point form of the equation for a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (9 -(-5))/(-6-(-2))(x -(-2)) -5

  y = 14/-4(x +2) -5

  y = -7/2x -12 . . . . the line through the given points

Answer: The length is 15 feet.

Step-by-step explanation:

But, the problem is asking for the length...

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1