PLEASE HELP!!! 3.05
It's time to show off your creativity and marketing skills!
You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it!

You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint.

You must:

Label and display your new polynomial identity
Prove that it is true through an algebraic proof, identifying each step
Demonstrate that your polynomial identity works on numerical relationships
Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when different binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity.

Column A Column B
(x − y) (x2 + 2xy + y2)
(x + y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)

The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).

To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.

Component 1: f1(t) = t/(9 + t^4)

This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.

Component 2: f2(t) = 7t^2 - 7t + 1

This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.

Component 3: f3(t) = ln(t + 3)

The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.

Taking all these considerations into account.The function is continuous for all values of t greater than -3.

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The result of the survey is affected by: The question is too ambiguous and it can be interpreted differently by the users.

How are results of a survey taken out?

We know that:

Hence, the correct choice will be: (D) The question is too ambiguous and it can be interpreted differently by the users.

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Answer:

The cost of  4 pound of oranges is 500 and  equation represents the cost of C4P pounds of orange is \(y=\frac{375}{3} \times 4\)

Step-by-step explanation:

Let the cost of 1 pound oranges be x

Cost of 3 pound oranges = 3x

We are given that Cost of 3 lb oranges = 375

So, 3x=375

So, x =\(\frac{375}{3}\)

So, Cost of 1 pound of oranges = \(\frac{375}{3}\)

Let y be the cost of 4 pound oranges

Cost of 4 pound of oranges y =\(\frac{375}{3} \times 4\)

Cost of 4 pound of oranges y = 500

Hence The cost of  4 pound of oranges is 500 and  equation represents the cost of C4P pounds of orange is \(y=\frac{375}{3} \times 4\)

Answer:

null

Step-by-step explanation:

they never intersect, cuz they are parallel

Answer:

lebron james to the 2nd power.

Step-by-step explanation:

\(distance = \sqrt{(5 - 1) {}^{2} + (4 - 4) {}^{2} } \\ = \sqrt{4 {}^{2} } \\ = 4 \: units\)

Answer:the population of deer is growing exponentially

Step-by-step explanation:

By analyzing the given tables we want to see which one of the given statements is true, we will see that the only true statement is the first one:

"The population of boars increases exponentially"

We have the tables:

year       deers       boars

0            2,200       3,500

1             2,420       3,850

2            2,640       4,235

3            2,860       4,659

4            3,080       5,124

5            3,300       5,637

So by looking at the table, you can see that each year the deer population increases by 220, so the deer population increases linearly.

For the boar population, from year 0 to year 1, the population increases by 350.

For years 1 to 2, the population increases by 385.

for years 2 to 3, the population increases by 424

So each year the increase is larger than the previous year, thus it increases exponentially.

Then the only correct statement is the first one, the population of boars is growing exponentially.

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Answer:

Step-by-step explanation:

1600 divided by 40

=40 ft

The volume of the triangular prism = base area x height

Since its base is a right triangle, then

From the figure leg1 = 6 ft and leg2 = 8 ft

Now multiply it by the height of the prism

Since its height = 12 ft, then

The answer is A

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

The value of  sin (345)=  (-sqrt6 + sqrt2)/4=  -0.2588

Trigonometry, the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin (345)

Now, using Trigonometric identity

sin(a+ b)=sin a x cos b+ sin b x cos a

Now, expand 345= 300+ 45

sin(300 + 45)=sin 300 x cos 45+ sin 45 x cos 300

sin(300 + 45)= -√3/2 x √2/2 + √2/2 x  1/2

                     = -√6/4 + √2/4

                    =  -0.2588

Hence, sin (345)=  -0.2588

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Lifetime should the company promote for these bulbs, so that only 3.0% of them burnout before the claimed lifetime is 3837.5 hours.

The lifetime of the bulbs represent the mean of the given dataset or the mean of the bulbs.

So, here Mean = 4600.

Standard Deviation = 250.

To find the lifetime that the company promote for these bulbs, so that only 3.0% of them burnout before the claimed lifetime are:

P(Z<z) = 0.03

where , z is z-score.

Finding the probability of z-score z = 0.03,

P(Z<z) = 0.03

z = -3.05

Now, the life time to promote these bulbs the equation is,

x = Mean + z-score x standard deviation

x = 4600 - 3.05 x 250

x = 4600 - 762.5

x = 3837.5 hours

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Step 1: Transform the subtraction of integers problem into the addition of integers problem. Here’s how:

First, keep the first number (known as the minuend).

Second, change the operation from subtraction to addition.

Third, get the opposite sign of the second number (known as the subtrahend)

Finally, proceed with the regular addition of integers.

Step 2: Proceed with the regular addition of the integers.

⊗ Note that you will eventually add integers. So for your convenience, here’s the quick summary of the rules on how to add integers.

Case 1:  Adding two integers having the same sign

Add their absolute values then keep the common sign.

Case 2:  Adding two integers with different signs

Subtract their absolute values (larger absolute value minus smaller absolute value) then take the sign of the number with the larger absolute value.

Answer:

When you subtract an integer from another interger you decrease the value of it.

Step-by-step explanation:

For example -9 plus negtive -9 is -18, it's almost like adding.

Answer:

a(b+c) = a into b + a*c

So, 79(457+35) = 79*457 + 79*35

Step-by-step explanation:

x y 142 428 442 6Now we have to find the lower unit rate among the given graphs.Let's calculate the unit rates of both graphs and then compare: Option C is correct

Graph A:From graph A we get to know that, y increases by 10 when x increases by 2.Therefore, the unit rate of graph A is:Change in y / Change in x = 10 / 2 = 5Graph B:From graph B we get to know that, y increases by 2 when x increases by 1.

Therefore, the unit rate of graph B is:Change in y / Change in x = 2 / 1 = 2Comparing the unit rates of both graphs, it can be concluded that the graph that represents the relationship with the lower unit rate is graph B. Therefore, option C is the correct answer.

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The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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The system of linear equations representing lines 1 and 2 is y = x and y = -1/2x + 3

from the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Using the points, we have

Line 1

y = x

For line 2, we have

y = mx + 3

Next, we have

6m + 3 = 0

This gives

m = -1/2

So, we have

y = -1/2x + 3

Hence, the system of linear equations is y = x and y = -1/2x + 3

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Answer:

2:1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs

So

x = 9 + 7 = 16

y = √2 * 9^2 = 9√2

Answer:

A

Step-by-step explanation:

Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.

Using the sine ratio and the exact value sin45° = \(\frac{1}{\sqrt{2} }\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{9}{y}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

y = 9\(\sqrt{2}\)

Using the tan ratio in the right triangle and the value tan45° = 1 , then

tan45° = \(\frac{opposite}{adjacent}\) = \(\frac{9}{adj}\) = 1

adj = 9

Then

x = 9 + 7 = 16

Answer:

x=  10 −  129  i−1   ≈−0.1−1.135781669i

Step-by-step explanation:

(10x^2+3) - (-2x-10) = 10x^2+2x+13

Answer:

B

Step-by-step explanation:

The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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Answer:

v=9

Step-by-step explanation:

Answer:

1.x=41

x=9

Step-by-step explanation:

1.x-7=34

x=41

3x-7=20

3x=27

x=9

The perimeter of the Christian's sandbox is 24 feet.

The given two quadrialterals are similar

Let us find the remaining lengths of Christian's sandbox

By proportional equation

36/8=18/x=27/y=18/z

4.5=18/x=27/y=18/z

x=18/4.5 = 4

y=27/4.5 = 6

z=4

The perimeter is sum of all the sides

So perimeter of Christian's sandbox is 8+6+4+4

24 feet

Hence, the perimeter of the Christian's sandbox is 24 feet.

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Answer:

c because its the only one thats over the price of yard work

Step-by-step explanation:

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

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

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).