How to find the end behavior of a graph?

How To Find The End Behavior Of A Graph?

Answers

Answer 1

Graph behavior as x approaches is referred to be the end behavior of a polynomial function.

How do you identify the desired outcome? Graph behavior as x approaches is referred to be the end behavior of a polynomial function.The leading term of the function—that is, the term with the highest n-value for axn an x n, where n is a positive integer and an is any nonzero number—allows us to predict the final behavior.Look at the leading term of the polynomial function to understand its end behavior.Graph behavior as x approaches is referred to be the end behavior of a polynomial function.Given that the leading term has the largest power, its behavior will dominate the graph since it will increase much more quickly than the other terms as x gets extremely large or very tiny.

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Related Questions

Write y = 2x + 5 in standard form

Answers

The equation y = 2x + 5 is already in standard form.

Standard form of a linear equation is Ax + By = C, where A, B, and C are constants and A and B cannot be both zero. In this case, A=2, B=1 and C=5, which meets the standard form equation, y = 2x + 5 is already in standard form.

Answer: y = 2x + 5 in standard form is 2x - y = -5

Step-by-step explanation: I hope this helps!

Which inequality represents all values of x for which the product below is defined? square root 5x times square root x + 3

Answers

The values of x for which the product:

√(5x)*√(x + 3)

Is defined are:

x ≥ 0

For which values of x is the product not defined?

Here we want to see for which values of x is the following product not defined.

√(5x)*√(x + 3)

Ok, remember that the argument of the square root must be zero or larger, then we have two inequalities here:

5*x ≥ 0

x + 3≥ 0

We can simplify both of these inequalities to get:

x ≥0

x≥ -3

We take the first one, which is more restrictive, the values of x for which the product is defined are:

x ≥0

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What is the formula for the sum of a sequence?.

Answers

The formula for the sum of an arithmetic sequence is [tex]S_n[/tex]=[tex]n/2[/tex][2a+(n−1)d], [tex]S_n[/tex] = [tex]n/2[/tex] [2a +( n − 1 )d ], where: n = the number of terms to be added. a = the first term in the sequence. d = the constant value between terms.

In arithmetic, a chain is an enumerated series of gadgets in which repetitions are allowed and order matters. Like a hard and fast, it consists of contributors (additionally referred to as elements, or terms). The quantity of elements (possibly endless) is called the duration of the series.

Unlike a fixed, the same factors can appear a couple of times at distinct positions in a chain, and unlike a fixed, the order does be counted. formally, a chain can be described as a function from herbal numbers (the positions of elements inside the collection) to the factors at each position. The belief of a sequence may be generalized to a listed family, defined as a character from an arbitrary index set.

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What angle has 120 degrees?.

Answers

An obtuse angle has 120 degrees in them.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Any angle more than 90 degrees is called obtuse: A straight angle is one with a 180° measurement: A zero angle is one with a measurement of 0°: Angles with measures that add up to 90 degrees are said to be complementary angles: Angles with measures that add up to 180° are referred to as supplementary angles.

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PLEASE HELP ASAP
which expression can be used to find the sum of the polynomials?

Answers

The correct expression to solve te sum of polynomials is [(-3x)+(-8x)]+4x+[9+5] (D).

To solve any polynomials problems, it is important for us to take a close look on the orders of each number. For the sum and substraction operation, we need to categorize each number based on its orders.

From the case, we have a problem as:

(9 - 3x²) + (-8x² + 4x  + 5)

We can categorize each order:

Order 2 = (-3x²) and (-8x²)

Order 1 = 4x

Order 0 = 9 and 5

Hence, we can solve the problem as:

(9 - 3x²) + (-8x² + 4x + 5)

= [(-3x²) + (-8x²)] + 4x + (9 + 5)

= -11x² + 4x + 14

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What is a solution set called?.

Answers

The solution sets are called algebraic sets.

An algebraic set is the locus of zeros of a collection of polynomials, and it is the set of solutions.

A solution set is a set of values that satisfy a given set of equations or inequalities.

The set containing all the solutions of an equation is called the solution set for that equation. If an equation has no solutions, we write ∅ for the solution set. ∅ means the null set.

A linear system with a unique solution has a solution set with one element. Solution sets are a challenge to describe only when they contain many elements.

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How many solutions does Y =- 3x 5 have?.

Answers

The given equation y = -3x + 5 has infinitely many solutions.

We have linear equation y = -3x + 5

We need to encounter how many solutions can satisfy the given equation. 

We know that,

y = -3x + 5 is a linear equation in two variables in the form ax + by + c = 0

For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.

For x = 1, y = -3 × 1 + 5 = 2. Therefore, (1, 2) is another solution.

For y = 0, -3x + 5 = 0, x = 5/3. Therefore, (5/3, 0) is another solution.

Clearly, for different values of x, we get different values for y. Thus, any value substituted in the place of x in the given equation will form another solution for the given equation. So, there is no limitation to the number of different solutions obtained by substituting real values for x in the given linear equation. Thus, a linear equation in two variables can have infinitely many solutions.

Thus, y = -3x + 5 has infinitely many solutions.

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explicit formula 9,15,21,27

Answers

Answer:

n_(n-1)+6

Step-by-step explanation:

n_(n-1)+6

im pretty sure?

You are trying to save $540 for your trip to New York. You started with $54 that you saved up and you earn $9 per hour of babysitting. How many hours will you have to babysit in order to have the money you need?

Answers

Answer:

54 Hours

Step-by-step explanation:

first of all 540-54 he started with is 486 and 486/9 is 54 since you get 9 per hour

Answer: 54 Hours of babysitting

Step-by-step explanation: 540-54=486 Then you take 486 and you divide it by 9 to see how many hours you have to work and that would be 54 hours.

Attendance i decreaing at a rate of 0. 5% per year. If there are 1200 people attending now how many will be attending in 4 year?

Answers

So, in 4 years, there will be 1176 people attending.

To find out how many people will be attending in 4 years, you need to determine the total decrease in attendance over that time period. The attendance is decreasing at a rate of 0.5% per year, so over 4 years, the decrease in attendance will be 4 years x 0.5% = 2%

To find out how many people will be attending in 4 years, you can then subtract the 2% decrease from the current attendance of 1200 people:

1200 x (1 - 0.02) = 1176 people

So, in 4 years, there will be 1176 people attending.

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You must ascertain the overall drop in attendance over that time span in order to calculate the number of attendees in 4 years. If enrollment drops by 0.5% annually, it will drop by 2% over the course of four years (4 years x 0.5%).

Then, from the present attendance of 1200 people, subtract the 2% decline to determine how many attendees there will be in 4 years:

1200 times (1-0.02) ≈ 1176 individuals

Therefore, there will be 1176 attendees in 4 years.

Mateo is making bookmarks with different colored ribbon.The amount of color he has is shown in the table.Each bookmark will be 1/6 yard long.How many more orange bookmarks can he make than aqua bookmarks.



color length(yd)


Aqua 3/4


orange 9/10


yellow 15/16


use reciprocals pls

Answers

The orange bookmarks that Mateo can make than aqua bookmarks is 1.

How to calculate the number of bookmark?

Based on the information given, let x = number of aqua bookmarks

(1/6) × x = 3/4

x = (3/4) × (6/1)

x = 18/4

x = 4.5

Rounding down shows that we can make 4 aqua bookmarks.

y = number of orange bookmarks

(1/6)y = 9/10

y = (9/10)*(6/1)

y = 54/10

y = 5.4

This rounds down to 5 orange bookmarks.

Therefore, Mateo can make 5-4 = 1 extra orange bookmark compared to aqua.

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Mateo is making bookmarks with different colored ribbon. The

amount of each color he has is shown in the table. Each bookmark

will be yard long. How many more orange bookmarks can he make

than aqua bookmarks?

Table:

Color: Length (yd):

———————————-

Aqua. 3/4

Orange. 9/10

Yellow. 15/16

Rewrite f(x)= x as a piecewise function

Answers

The piecewise function will be written as y= -x { x < 0 } and y = x { x > 0 }.

What is a piecewise function?

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

Given that the function is f(x)= x. The piecewise function of the given function will vary from x being less than zero and x being greater than zero. The function can be written as  y= -x { x < 0 } and y = x { x > 0 }.

The graph of the piecewise function of the given function is attached with the answer below.

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Max puts a stopper in the bathtub and turns on the faucet at t = 0.
After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub.
Write an equation that relates the number of gallons, g, to the time, t.
Does the relationship represent a linear function? Justify your response.

Answers

The equation is y = 2.2x. Yes, it represents a linear function.

What is a linear function?

A linear function is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear function with exponents greater than 1. Such an equation on the graph, forms a straight line.

We are given that

Stopper is applied at t = 0

At t = 5 minutes ; water in tub = 11 gallons

At t = 10 minutes ; water in tub = 22 gallons

We know that a general form of a linear function is y = mx + c.

Where c is the intercept ; m is the Slope ; y and x are dependent and independent variables respectively

Here, the intercept is gallon of water at t = 0 ;

Since, it is not mentioned, therefore it will  be taken as 0.

Slope = change in y / change in x

Slope = (22 - 11) / (10 - 5)

Slope = 11 / 5

Slope = 2.2

Therefore, the equation becomes

y = 2.2x + 0

y = 2.2x

Yes, it represents a linear function because the highest degree is 1.

Hence, the equation is y = 2.2x. and it represents a linear function.

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What is the range of the function f x − x 3 2 7?.

Answers

Answer:

Step-by-step explanation:

nhbjbjhbnjbjnjnjny6778899

Does 6 8 15 form a triangle?.

Answers

No, it is not possible to draw a triangle.

This will be done by the property: the sum of two sides of a triangle should be more than the third side.

(6cm + 8cm) =15cm

14cm = 15cm

LHS<RHS

A triangle is not possible.

A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.

In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.

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How do you graph inverse operations?.

Answers

The inverse operations can be graphed by determining the inverse of the function by swapping the x and y variables,

Not all functions have inverses, and in order for a function to have an inverse, it must be a one-to-one function that is, there must not be repeated output for many inputs which indicates that not all functions have inverses. The various steps to graph inverse functions can be noted as -

By switching the x and y variables, first determine the function's inverse, and then solve for y. The inverse function, for instance, will be x = f-1 if the original function is y = f(x) (y).By switching the original function's x and y values, plot the inverse function's points. For instance, if the original function is y = 2x + 1, the inverse function would be x = (y-1)/2, and instead of plotting the point (0,1), you would plot (1,0), (2,-1) and so on (-1,2)Over the line y = x, reflect the original function's graph. You will then be shown the inverse function's graph.Lastly, it is required to correctly identify the axes and the points.

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Can someone help me on these? I'd really appreciate it.

Answers

Answer: view below

Step-by-step explanation:

a. [tex]-\frac{2}{3}x \geq 7[/tex]

[tex]x\leq -\frac{21}{2}[/tex]

b. 32>23-x

x>-9

c. 2(x+6)<10

x+6<5

x<-1

d. 15-4x[tex]\leq 3x-6[/tex]

21[tex]\leq[/tex]7x

3[tex]\leq[/tex]x

x[tex]\geq[/tex]3

Why are complex fractions called complex?.

Answers

Complex fractions are called complex because they contain one or more fractions within the numerator and/or denominator of the fraction. These fractions within the fraction make the fraction more complex or difficult to simplify than a regular fraction, which only has a single numerator and denominator.

The term "complex" in mathematics often refers to something that is composed of multiple parts or layers, and that requires more steps or understanding to work with or solve.

In this case, the presence of one or more fractions within the fraction makes it more complex than a regular fraction, hence the name "complex fraction."

Another reason for the term complex is that the fractions in the numerator and denominator may have different or even the same variables, making it difficult to cancel them or simplify the expression.

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Please helppppp meeeeee !!!!!!

Answers

Answer:

72.5 / 2.5 = 29

29 - 8 = 21

21 / 3 = 7

7

Step-by-step explanation:

+12 Coins Earned

Will the quotient of the division problem shown below be positive or negative?

(-8) ÷ (-4)

Answers

Answer: Positive

Hope this helps :)

Step-by-step explanation:

When multiplying or dividing with two negative numbers, the product/quotient will always be positive.

-8/-4 = 2

Answer: Positive

Step-by-step explanation:

Example for multiplication:

Imagine 4 friends that owe you $8 each.

Each friend that pays you back represents their payback as -$8.

-$8 * 4 friends = -$32 that they owe you.

The moment they give it back, you now have +$32. The Debt was taken away.

Example for Division:

Imagine splitting 8 dollars in debt with 4 friends, each friend then has $2 in debt. Each payback means you have +$2.

Another visual way to think of this is with Number Lines.

On a number line, when you multiply by a larger absolute value the numbers get bigger and go farther away from 0. So, taking a negative and multiplying it by a positive makes it MORE negative, as opposed to multiplying it by negative and then it reflects the number line,

a total of 516 tickets were sold for the school play. they were either adult tickets or student tickets. there were 66 more student tickets sold than adult tickets. How many adult tickets were sold

Answers

In the word problem the number of the adult ticket is 225.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here total number of tickets = 516.

Which is contains adult and students tickets. Then let us take x is number of adult ticket and y is number of student tickets then,

=> x + y = 516 ------> 1

Now  there were 66 more student tickets sold than adult tickets then

=> y = x+66 -----> 2

Now put 2 into 1 then

=> x+66+x = 516

=> 2x = 516-66 = 450

=> x = 225.

Now put x = 225 into then

=> y = 225+66 = 291.

Hence the number of adult tickets is 291.

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What is the solution to the system of equations y equals 1. 5 x 4 and y equals negative x?.

Answers

The solution to the system of equations is y equals 1. 5 x 4 and y equals negative x is-= (1.6,-1.6)

In this case option A is correct

The coordinates of the ordered pair (s) that satisfy all of the equations in the system are the solution set to a system of equations. To put it another way, those x and y values will make the equations true. As a result, when a system of equations is graphed, the intersection points of the graphs are the system's solution.

y = 1.5x – 4...........(1)y = –x...........(2)-----------------------Since equation 2's y is -x, we can substitute this into equation 1 as follows: y = 1.5x - 4 -x=1.5x-4 -2.5x=-4 x=1.6Now, when x=1.6, equation 2's result for "y" is -1.6. (1.6,-1.6)

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What is the solution to the system of equations y equals 1. 5 x 4 and y equals negative x?.

(1.6,-1.6)(1.5,-1.6)(1.6,-1.5)0

Make a box-and-whisker plot of the data. Find the interquartile range.
7,9, 11, 12, 13, 15, 12, 17, 18, 12, 9, 7, 12, 15, 18, 10
O
++
6 7 8 9 10 11 12 13 14 15 16 17 18 19
Interquartile range: 5.5
←+++
++
6 7 8 9 10 11 12 13 14 15 16 17 18 19
Interquartile range: 5
++
6 7 8 9 10 11 12 13 14 15 16 17 18 19
Interquartile range: 5.5
++
6 7 8 9 10 11 12 13 14 15 16 17 18 19
Interquartile range: 5

Answers

From the box-and-whisker plot of the data, the Interquartile range is 6.

What is the Interquartile range?

An interquartile range is finding the median of the first half of the data set, and the second half, then subtracting the first median from the second one.

Steps to create a box-and-whisker plot and find the interquartile range.

Step 1: Sort the data in ascending order: 7, 7, 9, 10, 11, 12, 12, 12, 12, 13, 15, 15, 17, 18, 18

Step 2: Find the median (middle value) of the data: 12

Step 3: Divide the data into two halves:

Lower half: 7, 7, 9, 10, 11, 12, 12

Upper half: 12, 12, 13, 15, 15, 17, 18, 18

Step 4: Find the median of the lower half (Q1) and the median of the upper half (Q3).

Q1: 9

Q3: 15

Step 5: Draw a box-and-whisker plot:

Draw a number line and mark the minimum, Q1, median, Q3, and maximum values.

Draw a box between Q1 and Q3 and a vertical line inside the box to represent the median.

Draw lines (whiskers) from the box to the minimum and maximum values.

Step 6: Find the interquartile range (IQR) by subtracting Q1 from Q3: 15 - 9 = 6.

Hence, the Interquartile range is 6.

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What is your research plan? Write a short paragraph about how you plan to conduct you research. Where will you gather your notes? What keys words will you use to find information on your topic? Where will you record your notes and bibliographic information?

Answers

Research plan is a short document, which sets out initial thoughts on a research project in a logical and concise manner.

What is Research Plan?

A research plan is the main part of a grant application and describes a principal investigator's proposed research.

A research plan is a short document, which sets out initial thoughts on a research project in a logical and concise manner.

We write a research plan by given steps.

Define the project purpose.

Identify individual objectives.

Select a research method.

Recruit participants and allocate tasks.

Prepare a project summary.

Create a realistic timeline.

Determine how to present your results.

The bibliographic information has Author name, Title of publication., Article title (if using a journal), Date of publication, Place of publication., Publisher, Volume number of a journal, magazine or encyclopedia and

Page number(s)

Hence, research plan is a short document, which sets out initial thoughts on a research project in a logical and concise manner.

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A large concrete block is used for the cornerstone of a building. The block is 18 yd deep, 23 yd wide, and 16 yd long. What volume of concrete is needed to make this block?

Answers

Answer:

Step-by-step explanation:

To find the volume of concrete needed to make this block, you need to calculate the volume of the block using the formula:

Volume = Length x Width x Height

In this case:

Volume = 18 yd x 23 yd x 16 yd = 7,648 cubic yards

So, 7,648 cubic yards of concrete are needed to make this block.

Alternatively, you can use the formula:

V=LWH, where V is the volume, L is the length, W is the width and H is the height.

What is improper fraction in Maths for Class 5?.

Answers

When the numerator of the fraction is greater than the denominator, the the fraction is an improper fraction.

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part is denominator.

consider a fraction 1/6.

Here, numerator is 1, denominator is 6

When certain thing is divided into 6 equal parts then each part of is represented by fraction1/6

As we the types of fractions are: Proper fraction, Unit Fraction ,Improper fraction, Mixed fraction, Like fractions, Unlike fractions and Equivalent fractions

An improper fraction is a fracton in which the numerator of the fraction is greater than the denominator.

For example, 8/7 is an improper fraction.

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A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 12400 kilograms have already been loaded into the container. Which inequality can be used to determine x, the greatest number of
120-kilogram crates that can be loaded onto the shipping container?

Answers

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

What is inequality?

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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What does ∑ ∑ mean?.

Answers

The mathematical symbol ∑∑ is used to represent a double summation. It is a way of expressing the sum of two series of numbers.

Double summation is a way of expressing the sum of two series of numbers, written as ∑∑. The upper sigma symbol represents the outer summation, while the lower sigma symbol represents the inner summation. The two series of numbers that form the double summation can be related or unrelated.

The double summation is written in the following form: ∑∑ aij, where aij is an element from the two series of numbers, i and j are the upper and lower limits of the double summation, respectively.

This type of expression is used to find the sum of a set of numbers that are related to each other in some way, such as the sum of the elements in a matrix or a table, or the sum of two series of numbers that are not related. The double summation is a useful tool for expressing the sum of two series of numbers and is widely used in mathematics and science.

Complete answer:

What does ∑∑ mean?

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What is the inverse of 7 *?.

Answers

The inverse of 7 is 1/7.

A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1.

The reciprocal of a and 1/a.

For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1.

Multiplicative inverse:

The multiplicative inverse of a number can either be expressed as a fraction or as a number raised to the power of a negative one. A number multiplied by its multiplicative inverse is one.

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Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.

Answers

The evaluation of the expression 12.75 ÷ 1.5 is 51  / 6.

How to evaluate expression?

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

Therefore, let's evaluate the expression as follows:

Hence,

12.75 ÷ 1.5

Let's convert each decimal to fractions for easy evaluation

Therefore,

12.75  = 1275 / 100

1.5 = 15 / 10

Therefore,

1275 / 100 ÷ 15 / 10

Let's change the division sign to multiplication sign.

1275 / 100 × 10 / 15

1275 / 150

Therefore,

255 / 30 = 51 / 6

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Follow this link to view Juans work. Critique Juans work by justifying correct solutions and by explaining any errors he made. For any errors made, provide and explain a correct response. Be sure to explain each key aspect of the graph. Please help this question is on my test and if u help me and its right I will memorize the answer u gave me. Btw 20 points How do you find the x-intercept and point of a quadratic equation?. transitioning your social media to a more professional look is appropriate when starting to look for a job. true or false Sol divided the following polynomial and made a mistake (x + 8x - 16) + (x-2) How do you calculate torque required to rotate a shaft?. can improve your self-confidence, help you fight boredom, and keep your brain healthy and your mind sharp. Determine the weight W that can be supported by the boom, if the maximum force that the cable T can exert is 2,000Ibs. Assume that no resultant rotation will occur at point C. (In other words, Mc = 0.) the nurse is assessing an older client's response to various medications the client is taking. the nurse knows that which body systems require close assessment for impairment? (select all that apply.) 0.125 less than 0.127 What is light-independent reaction produced at the end of the reaction?. Need help ASAP Directions: Now that you have an outline for your agenda, you need to have an opening and a closing statement. Finally, write a paragraph about the state of child labor in the present day.Opening statements will tell your meeting members what you will be discussing at the meeting, and why this discussion is important. You should also outline the outcomes you hope will come out of this meeting. A closing statement will review what decisions the members of the meeting made and the plan that you have in place to help solve the issue the meeting was called for. Below, you will be able to draft out your opening and closing statements. At 25C, KP. = 2.9 x 10-3 for the reaction NH4OCONH2(s) 2NH3(g) + CO2(g) In an experiment carried out at 25c, a certain amount of NH4OCONH2 is placed in an evacuated rigid container and allowed to come to equilibrium. Calculate the total pressure in the container at equilibrium. Which of the following platform divisions MOST undermined the unity of the Populist Party going into the 1896 election?A.regulation versus free tradeB.segregation versus integrationC.the gold standard versus free silverD.political versus economic involvement What are the major themes of A Modest Proposal?. Finding gold during the Gold Ruh wa eaier than: Tranporting the gold Spending the gold Protecting it from thieve Surviving the Gold Ruh Autocratic managers tend not to _____. japanese antitrust legislation got its start when the ___ introduced it during its occupation of japan after world war ii. The length and breadth of a cuboid shaped paper are 1m and 60 cm respectively. If 1920 small cubes of 5 cm each can be placed in the box, find the height of box. Bret died and was survived by his wife, Anne, and two adult children. Bret's will provided for the maximum estate tax applicable exclusion amount for the year of death to be placed into a family bypass trust, in which Anne and the children were named as income beneficiaries, with the children to receive equal shares of the trust assets upon Anne's death. The will provided that the remainder of Bret's estate was to be placed in a power of appointment trust. Bret did not make any lifetime taxable gifts.Assume that no federal estate tax deductions other than the marital deduction were taken.Which of the following are CORRECT statements about the federal estate tax implications of the estate planning techniques contained in Bret's will?I Bret's taxable estate will be zero, but his tax base will be the maximum estate tax applicable exclusion amount.II. Anne's interest in the family bypass trust is considered to be a terminable interest; thus, assets placed in this trust will not be entitled to a marital deduction.III. Any assets remaining in the power of appointment trust at Anne's death will be included in Anne's gross estate.IV. Bret's estate will pay more federal estate tax with his current plan than he would if he had established a qualified terminable interest property (QTIP) trust, and his executor had made the QTIP election.A) I and IIB) II, III, and IVC) II and IIID) I and IV