Let g(x)= x+3 Determine all values of x at which g is discontinuous, and for each of these values of x, define g in such a manner as to remove the discontinuity, if possible x²+x-6 CATE g(x) is discontinuous at x= -3,2 (Use a comma to separate answers as needed.) For each discontinuity in the previous step, explain how g can be defined so as to remove the discontinuity. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice at that value. A g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be at that value. The greater discontinuity can be removed by defining g to be B. g(x) has two discontinuities and neither can be removed. at that value. C. g(x) has two discontinuities. The lesser discontinuity cannot be removed. The greater discontinuity can be removed by setting g to be OD. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be at that value. The greater discontinuity cannot be removed. OE g(x) has one discontinuity, and it can be removed by defining g to at that value F. g(x) has one discontinuity, and it cannot be removed.

The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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The factors of m2 – 6m + 6m – 36 are (m – 2)(m + 18) and (m – 3)(m – 3).

The factors of m2 – 6m + 6m – 36 can be determined using the quadratic formula. The general equation for a quadratic equation is ax2 + bx + c = 0, where a, b, and c are constants and x is the unknown variable.

To find the factors of m2 – 6m + 6m – 36, we can use the quadratic formula to solve for the two factors of the equation. We can start by substituting in the values for a, b, and c: a = 1, b = –6, and c = –36. The quadratic formula for this equation is x = [-b ± √(b2 – 4ac)]/2a.

To solve for the two factors, we can plug in the values for a, b, and c and solve for x. We get x = [6 ± √(62 – 4(1)(–36))]/2(1). After simplifying, we get x = [6 ± √396]/2.

We can then use the positive and negative values of √396 to find the two factors of the equation. The positive value is √396 = m + 18, so the first factor is (m – 2)(m + 18). The negative value is -√396 = m – 3, so the second factor is (m – 3)(m – 3). Therefore, the factors of m2 – 6m + 6m – 36 are (m – 2)(m + 18) and (m – 3)(m – 3).

The factors of m2 – 6m + 6m – 36 are (m – 2)(m + 18) and (m – 3)(m – 3).

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The area is:

A = πR² ------- 2π

A = x --------- π/6

x = πR²/12

x = π.(10)²/12

x =  26.18 in²

Hope it helps x

Answer:

  plot two points and draw a line through them

Step-by-step explanation:

The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.

Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.

For b=0, the point is (b, C) = (0, 4.95)

For b=5, the point is (b, C) = (5, 24.90)

The graph might look like the attached.

_____

For b=5, the equation gives ...

  C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90

I’m sorry I tried my best but I didn’t get the correct answer

Answer:

1. 75

2. 480 people

Step-by-step explanation:

1. 450/2 = 225

300 - 225 = 75

2. 20 * 3 = 60

12 * 35 = 420

420 + 60 = 480

Answer:

52.40

Step-by-step explanation:

Given that,

Keith's bookshelf has 5 shelves.

He has 262 books.

To find the number of books he can put on each shelf.

 \(required \\ number = \frac{Total Books}{Total Shelves}\\\\= \frac{262}{5} = 52.40\)

Hence 52.40 is the right answer.

Answer:

you in BBC FDA's in BBC FDA's in just had not had not had not had on under end

Step-by-step explanation:

no exception

No, it is not possible for matrix A and B to be similar when B = A + I, where A is an nxn matrix and I is the identity matrix of the same size.

Two matrices A and B are said to be similar if there exists an invertible matrix P such that \(B = P^{(-1)}AP\). In this case, A and B have the same eigenvalues, and their corresponding eigenvectors can be related through the matrix P.

Let's consider the eigenvalues of B. Since B = A + I, the eigenvalues of B are obtained by adding 1 to each eigenvalue of A. In other words, if λ is an eigenvalue of A, then λ + 1 is an eigenvalue of B.

Now, suppose A and B are similar. This means that they have the same eigenvalues. However, the eigenvalues of B are shifted by 1 compared to the eigenvalues of A. Therefore, it is not possible for A and B to have the same eigenvalues, unless A has eigenvalues that are all equal to -1.

Since the eigenvalues of A and B are different, we can conclude that A and B cannot be similar.

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Answer:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Step-by-step explanation:

Calculation to determine the sequences that describes his increasing monthly balance

Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.

First sequence will be the amount he owes on a credit which is $950

Second sequence

950 * .018 = 171.00

950 + 171.00 = 1121.00

Third sequence

1121.00 * .018 = 201.78

1121.00 + 201.78 = 1322.78

Fourth sequence

1322.78*0.18=238.10

1322.78+238.10=1,560.88

Last sequence

1,560.88*0.18=280.96

1,560.88+280.96=1,841.84

Therefore the sequences that describes his increasing monthly balance are:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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Answer:

2 4/5 feet

Step-by-step explanation:

let 'x' = height of fire hydrant

7/20 = x/8

cross-multiply:

20x = 56

x = 56/20 or 14/5, which is 2 4/5

Answer:

(2d +3d) + 3-12 equals to 5d - 9

Step-by-step explanation:

you try collecting like terms

Answer:

\(5d-9\)

Step-by-step explanation:

Given the following question:

\((2d + 3) + (3d-12)\)

To find the answer remove the parentheses, group like terms, and solve by using inverse of operations.

\((2d + 3) + (3d-12)\)
\(2d+3+3d-12\)
\(2d+3d+3-12\)
\(3-12=-9\)
\(2d+3d+-9\)
\(2d+3d=5d\)
\(5d-9\)

Your answer is "5d - 9."

Hope this helps.

Answer:

x=2

Step-by-step explanation:

The Axis of Symmetry is when a line is put where it splits the parabola in the half perfectly. The vertex is where the parabola starts. The line x=2 is when it splits it into two congruent parts.

The date are given by the expressing the given information as functions,

and evaluating based on the constraints.

Response:

Let x represent the number of years age when Ursula's age was the

same as Venus's age now and let y represent the age of Venus, we

have;

Ursula's age = y + x = 4 × (y - x)

y > 12

Which gives;

y + x = 4 × (y - x) = 4·y - 4·x

y + x = 4·y - 4·x

5·x = 3·y

\(y = \dfrac{5}{3} \cdot x\)

y, and x are whole numbers,  which gives;

When x = 9

From the calendar, we have;

Sundays in December 2021 includes the 7th, 14th, 11st and 28th of

December

The year Venus is born = 2021 - 15 = 2006 Calendar

7th, 14th, 11st and 28th of December 2006 are on Thursdays

Therefore;

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Answer:

-8(9+6y)

-8 x 9=-72

-8 x 6y= -48y

-72 +-48y

hope this helps

have a good day :)

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathsf{-8(9 + 6y)}\)

\(\huge\textbf{Simplifying:}\)

\(\mathsf{-8(9 + 6y)}\)

\(\mathsf{= -8(9) - 8(6y)}\)

\(\mathsf{= 72 - 48y}\)

\(\mathsf{-48y - 72}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{-48y - 72}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

The peanut is 12.59 feet away from the base of the platform.

Step-by-step explanation:

When solving these equations, we can first start out by noticing that this requires a trigonometry function.

There are three types : cos, sin, and tan.  (cosine, sin, and tangent)

Cos is for finding and dealing with the adjacent and the hypotenuse.

Sin is for finding and dealing with the opposite and the hypotenuse.

Tan is for finding and dealing with the opposite and the adjacent.

The opposite is the bottom base, to the peanut.

The adjacent is the height from the bottom base, to the top.

The hypotenuse is the top, to the peanut.

27 feet would be the adjacent.

Since we don't know bottom base to the peanut, we would call this x. (opposite)

*Side note*  :   The degrees is always in between the adjacent and hypotenuse.

For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :

tan (degrees) = opposite/adjacent

So, now we simply put in the data.

tan 25 = x/27

We can now, first get x alone by multipling both sides by 27.

27 * tan 25 = x

Plug this into a scientific calculator :

27 * tan 25

We the answer to be 12.59

The peanut is 12.59 feet away from the base of the platform

Answer:

3.14)(42)

Step-by-step explanation:

i just did the test

The area of Erin's circle to the nearest hundredth is 50.24 in².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

3.14 X 4²

(3.14) (4) (4) = 50.24 in²

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Answer:

x = 10

Step-by-step explanation:

\(\frac{3}{13}\) = \(\frac{3}{3+x}\)  cross multiply and solve for x

3(3+ x) = 3(13)  Distribute the 3

9 + 3x = 39  Subtract 9 from both sides

3x = 30  Divide both sides by 3

x = 10

The button's radius is 5 millimeters.

The button's diameter is given as 10 millimeters. The diameter of a circle is the distance across the circle passing through its center. To find the button's radius, we need to divide the diameter by 2 since the radius is the distance from the center to any point on the circle's circumference.

So, the formula to calculate the radius is:

Radius = Diameter / 2

Plugging in the given diameter:

Radius = 10 mm / 2 = 5 mm

Therefore, the button's radius is 5 millimeters. The radius is a fundamental property of a circle, and it helps determine other important aspects such as the area and circumference of the circle. In this case, knowing the radius can be useful for various calculations or measurements related to the button's size or any other geometric considerations involving the circle.

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Answer:

Step-by-step explanation:

1 + 2 + 4 = 7

7x = 1400

x = 1400/2 = 200

1(200) + 2(200) + 4(200) = 1400

Sand:  200 kg

Gravel:  400 kg

Cement:  800 kg

You would need 200 kg of sand, 400 kg of gravel, and 800 kg of cement to make 1400 kg of dry concrete using the ratio 1:2:4,

Let's assign variables to represent the quantities:

Let x be the quantity of sand.

Let y be the quantity of gravel.

Let z be the quantity of cement.

According to the given ratio, the quantities will be as follows:

Sand: x

Gravel: 2x (twice the amount of sand)

Cement: 4x (four times the amount of sand)

The total weight of the dry concrete is the sum of the weights of the individual components:

x + 2x + 4x = 1400 kg

Combining like terms:

7x = 1400 kg

Dividing both sides of the equation by 7:

x = 200 kg

Now that we know the quantity of sand, we can find the quantities of gravel and cement:

Gravel: 2x = 2 × 200 kg = 400 kg

Cement: 4x = 4 × 200 kg = 800 kg

Therefore, you would need 200 kg of sand, 400 kg of gravel, and 800 kg of cement.

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One beautiful mathematical idea is the concept of the Golden Ratio. The Golden Ratio is a mathematical ratio that is approximately equal to 1.618. It can be found in various natural and artistic phenomena, such as the proportions of the human body and the dimensions of famous artworks like the Parthenon. The beauty of the Golden Ratio lies in its aesthetic appeal and harmonious proportions, which can be appreciated by individuals from different backgrounds.

The Golden Ratio is a mathematical concept that can be understood by considering the relationship between two quantities. It is the ratio of the larger quantity to the smaller quantity, and this ratio is approximately equal to 1.618. This ratio has been observed in various natural and artistic contexts, which adds to its beauty. For example, the proportions of the human body, such as the ratio of the height to the navel compared to the navel to the floor, are often close to the Golden Ratio. Similarly, famous artworks, such as the Parthenon in Athens, exhibit dimensions that are related to the Golden Ratio.
The beauty of the Golden Ratio is similar to other kinds of beauty that humans encounter in the sense that it evokes a sense of harmony, balance, and aesthetic appeal. It demonstrates the presence of underlying mathematical principles that govern patterns and proportions in the natural and artistic world. This beauty can be appreciated by individuals regardless of their mathematical background, as it appeals to our innate sense of visual harmony and proportion. The elegance of the Golden Ratio lies in its ability to bridge mathematics and aesthetics, showcasing the interconnectedness between these domains of human experience.

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Answer:

Max has $10.00. He earns $25.75 for every lawn that he mows.

Sasha sells a scarf for $10.00 and x jackets for $25.75 each.

Step-by-step explanation:

The answer of the given question based on differential equation is ,

y² = (3/13)(C - x⁴)

An equation is mathematical statement that indicates  equality of two expressions. It consists of variables, constants, and mathematical operations like addition, subtraction, multiplication, division, exponentiation, etc. An equation can be written in different forms depending on the type of equation, like linear, quadratic, polynomial, trigonometric, exponential, or logarithmic.

The given differential equation is:

dy/dx = 4x³/(3x² + 13y²)

To find  general solution, we need to separate variables and integrate both sides:

(3x² + 13y²) dy = 4x³ dx

Integrating both sides:

∫(3x² + 13y²) dy = ∫4x³ dx

Simplifying and solving the integrals:

x⁴ + (13/3)y³ = x⁴ + C

where C is the constant of integration.

Therefore, the general solution to the given differential equation is:

y² = (3/13)(C - x⁴)

where C is an arbitrary constant.

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Answer:

>

Step-by-step explanation:

33/8=4.125

8>4.125

Answer:

30

Step-by-step explanation:

To get from 15 to 5, you multiply 15 times 1/3, so do the reciprocal to get from x to 10. So, 10 times 3 is 30.