Consider the function f(x) = x/x²+1 Find the precise value of C such that Newton's Method will converge if any only if the seed is chosen so that Ixol

Answer:

x=4

Step-by-step explanation:

1. isolate the variable by subtracting 7 on both sides: 4x=23-7

2. simplify: 4x=16

3. divide both sides by 4: x=16/4

4. simplify: x=4

Answer:

x=4

Step-by-step explanation:

4x+7=23

Collect like terms

4x=23-7

4x=16

Divide both sides by the co-efficient of x

4x/4=16/4

x=4

Answer:

0.5

Step-by-step explanation:

The value of the x is 10.

What is the exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite(remote) interior angles of the triangle.

We have given,

angles of the triangle:

Interior angles :

∠D = 2x + 7,

∠E = 26°,

Exterior angle:

∠C = 6x - 7

To find x = ?

few common properties about the angles of a triangle:

A triangle has 3 internal angles which always sum up to 180 degrees.

It has 6 exterior angles and this theorem gets applied to each of the exterior angles.

Note that an exterior angle is supplementary to its adjacent interior angle as they form a linear pair of angles.

Exterior angles are defined as the angles formed between the side of the polygon and the extended adjacent side of the polygon.

So,

∠C  = ∠D + ∠E

6x - 7 = 2x + 7 + 26,

6x - 7 - 2x - 7 = 26,

4x - 14 = 26,

4x = 40

x = 40/4

x = 10,

Hence, the value of the x is 10.

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density

a derived unit is something that comes from using base units in mathematical operations.

The sketch of the front elevation and the side elevation of the prism are added as an attachment

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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Answer:

7 and 4

Step-by-step explanation:

when you multiply 7×4 the answer is 28 and when you add them the answer is 11.

I hope this helps

Answer:

4 and 7

Step-by-step explanation:

xy = 28 ..........1

x + y = 11........2

x = 11 - y.........3

substitute 3 in 1:

(11 - y)*y = 28

-y² + 11y - 28 = 0

y² - 11y + 28 = 0

( y - 7)( y - 4) = 0

y = 7 or y = 4

subs in 2:

x = 4 or x = 7

pairs: (4 ; 7) and (7 ; 4)

Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

Step-by-step explanation:

8(m + 2)= 16

8m + 16 = 16

8m = 0

m = 0

Answer:

Remember that the area of a circle of radius R is given by:

A = pi*R^2

pi = 3.14

We know that:

Personal Pizza: radius = 10cm

                         price = $5

The area of pizza that you are getting is:

A = 3.14*(10cm)^2 = 314 cm^2

In the other case, we have a pizza with radius of 30 cm, cutted into 8 slices, such that each slice costs $5.

Then, if yo pay $5, the area of pizza that you get is an eight of the area of a circle of radius 30cm

This is:

A' = (1/8)*(3.14*(30cm)^2) = 353.25 cm^2

We can see that in the second case the area is larger, then the second option is the better deal, as you are getting a larger pizza area for the same price.

The conditional expectation of αX given Y=y is (αλy / β + αλ)^α * e^(-(β+αλ)/βy) and the Law of Iterated Expectation gives E[αX] = (αλ / β + αλ)^α * (β / (β+αλ))^α * (Γ(α) / β).

Let X be a Poisson random variable with parameter λ and Y be a Gamma random variable with parameters α and β. We want to find the conditional expectation of αX given Y=y and then apply the Law of Iterated Expectation to find E[αX].

The conditional probability density function of αX given Y=y is:

fX|Y(x|y) = P(X=x|Y=y) = P(X=x,Y=y) / P(Y=y)

Since X and Y are independent, we have:

P(X=x,Y=y) = P(X=x)P(Y=y)

Therefore, the conditional probability density function of αX given Y=y is:

fX|Y(x|y) = (λ^x/x!) * (β^α / Γ(α)) * y^(α-1) * e^(-βy) / (λ^y * e^(-λ) * β^α / Γ(α))

fX|Y(x|y) = (λ^x / x!) * (y^α * e^(-βy)) / (Γ(α) * λ^y * β^α)

Now we can calculate the conditional expectation of αX given Y=y:

E[αX|Y=y] = ∑ x=0^∞ αx * fX|Y(x|y)

E[αX|Y=y] = ∑ x=0^∞ αx * (λ^x / x!) * (y^α * e^(-βy)) / (Γ(α) * λ^y * β^α)

E[αX|Y=y] = (αλy / β + αλ)^α * e^(-(β+αλ)/βy)

Now we can apply the Law of Iterated Expectation to find E[αX]:

E[αX] = E[E[αX|Y]]

E[αX] = E[(αλY / β + αλ)^α * e^(-(β+αλ)/βY)]

Since Y is a continuous random variable, we need to integrate over all possible values of Y:

E[αX] = ∫ 0^∞ (αλy / β + αλ)^α * e^(-(β+αλ)/βy) * (β^α / Γ(α)) * y^(α-1) * e^(-βy) dy

E[αX] = (αλ / β + αλ)^α * (β / (β+αλ))^α * (Γ(α) / β)

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The difference in the maximum values of the functions ​g(x) ​and ​f(x)​ is 3

The functions are given as

f(x) = -(x - 3)² + 9

Table of g(x)

x    −3 −4 −2 0 −1  4

g(x) 0   8   1  12  2  8

The maximum value of f(x) is when the root expression is 0

i.e. -(x - 3)² = 0

So, we have

Max f(x) = 0 + 9

Max f(x) = 9

For the table of values, we have

Max g(x) = 12

The difference between these values is

Difference = 12 - 9

Evaluate

Difference = 3

Hence, the difference is 3

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Answer:

yshannmm

Step-by-step explanation:

yes

The rule of a reflection across the y-axis is

So, let's transform each vertex.

Now, we graph the reflection, the image below shows it

Answer:

The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.

Step-by-step explanation:

A normal-distribution is an accurate symmetric-distribution of experimental data-values.  

If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.  

If X \(\sim\) N (µ, σ²), then \(Z=\frac{X-\mu}{\sigma}\), is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \(\sim\) N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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Answer:

Step-by-step explanation:

Equation for line of slope -6 that passes through (0,-2):

y+2 = -6(x-0)

y = -6x - 2

Plug in (g,-8) and solve for g:

-8 = -6g - 2

g = 1

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).

Answer:

3x was subtracted from the left side, but 3x was subtracted from the right side. The Subtract Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 3x and 3 are not the same number (unless x is 1).

x = -8/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 12 from both sides.

Step 3: Divide both sides by 10.

9514 1404 393

Answer:

Step-by-step explanation:

You answer this sort of question by comparing each line to the line above to see what the differences are. In the second line, the term 3x is missing from the left side of the equal sign, and the value 5 has been changed to the value 2 on the right side. The wording of the statement you're to fill in tells you that it should read ...

  3x was subtracted from the left side, but 3 was subtracted from the right side.

  ... 3x and 3 are not the same number (unless x is 1 .)

__

The correct solution is ...

  7x +21 +3x = 5 . . . . . . given

  10x +21 = 5 . . . . . . . . . collect terms

  10x = -16 . . . . . . . . . . . subtract 21 from both sides

  x = -1.6 . . . . . . . . . . . .  divide both sides by 10

_____

Additional comment

It can often work well to "read ahead" when answering a question or series of questions. The later questions or comments often provide clues that help you understand how to answer the earlier questions.

Here, for example, it becomes clear that 3x and 3 were subtracted from the different sides of the equation. You can find that out simply by reading the rest of the statement you're to fill in. These are the answers to the questions asked in the first part of the statement.

Answer:

C. Subtract 4 from both sides.

Step-by-step explanation:

You need the equation in the form x² + ax + b = 0 to then either try factoring or use the quadratic formula.

In order to achieve that, you need to first:

Subtract 4 from both sides.

Answer:

First bag's unit price=$1.92 per kg  Second bag's unit price=$1.87 per kg

The second bag is the better deal

Step-by-step explanation:

Divide the price by the weight to get the unit price per kg

The lowest number is the better buy

Answer: First bag's unit price=$1.92 per kg Second bag's unit price=$1.87 per kg

Step-by-step explanation:

Answer: When you graph it, put a dot on 3, and then count down 7 spaces, and 2 spaces to the right, put a dot there. Use a straight edge to draw a line through the two dots, that continues on the graph. You can continue to got down 7, over 2 if needed.

Step-by-step explanation:

9514 1404 393

Answer:

  y = 5

Step-by-step explanation:

The given points lie on the horizontal line ...

  y = 5

__

You could write this as 0x+1y=5, but the conventions regarding coefficients of 0 and 1 would have this simplified to y=5.

Where the above Terms exists, the amount to be paid in each of the above invoices are given as follows;

Note that the terms are defined as follows;

Terms A: 2/10, n/60 (2% discount if paid within 10 days, net due in 60 days)

Terms B: 1/15, EOM (1% discount if paid within 15 days, end of month terms)

Terms C: 1/10, n/30 (1% discount if paid within 10 days, net due in 30 days)

Terms D: 3/15, n/45 (3% discount if paid within 15 days, net due in 45 days.

So to compute the amount to be paid for each of the four separate invoices assuming that all invoices are paid within the discount period, we need to calculate the amount of the discount and subtract it from the gross merchandise amount.

For terms 2/10, n/60:

Discount = 2% of $8,000 = $160

Amount to be paid = $8,000 - $160
= $7,840

For terms 1/15, EOM:

Discount = 1% of $24,500 = $245

Amount to be paid = $24,500 - $245
= $24,255

For terms 1/10, n/30:

Discount = 1% of $81,000 = $810

Amount to be paid = $81,000 - $810
= $80,190

For terms 3/15, n/45:

Discount = 3% of $17,500 = $525

Amount to be paid = $17,500 - $525
= $16,975

Therefore, the amount to be paid for each of the four separate invoices assuming that all invoices are paid within the discount period are:

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Answer:

As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.

19+m=38

If you want to solve the equation, just subtract 19 from both sides.

19+m=38

m=19