Write in slope intercept form given two points (1,2) and (-2,5)

The domain of the inverse function will be y ≥ 6, and the range of the inverse function will be x > 4.

When the domain is restricted to the portion of the graph with a positive slope, it means that only the values of x that result in a positive slope will be considered.

In the given function, f(x) = |x – 4| + 6, the portion of the graph with a positive slope occurs when x > 4. Therefore, the domain of the function is x > 4.

The range of the function can be determined by analyzing the behavior of the absolute value function. Since the expression inside the absolute value is x - 4, the minimum value the absolute value can be is 0 when x = 4.

As x increases, the value of the absolute value function increases as well. Thus, the range of the function is y ≥ 6, because the lowest value the function can take is 6 when x = 4.

Now, let's consider the inverse function. The inverse of the function swaps the roles of x and y. Therefore, the domain and range of the inverse function will be the range and domain of the original function, respectively.

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a) The transition matrix from C to B is [1 0 0], [0 1 0], [0 0 1] b) The transition matrix from C to B is [1 0 0], [0 1 0], [0 0 1] c) p(x) = a + bx + cx² as a linear combination of the polynomials in C can be defined as p(x) = a + b + c(x - 1)²

(a) Finding the transition matrix from C to B

To find the transition matrix from C to B, we need to express the vectors in the basis C as linear combinations of the vectors in basis B.

Let's express each vector in basis C in terms of basis B

1 = 1(1) + 0(x) + 0(x²)

(2 - 1) = 0(1) + 1(x) + 0(x²)

(x - 1)² = 0(1) + 0(x) + 1(x²)

The coefficients of the linear combinations are the entries of the transition matrix from C to B. Thus, the transition matrix is

[1 0 0]

[0 1 0]

[0 0 1]

(b) Finding the transition matrix from B to C:

To find the transition matrix from B to C, we need to express the vectors in the basis B as linear combinations of the vectors in basis C.

Let's express each vector in basis B in terms of basis C

1 = 1(1) + 0(2 - 1) + 0((x - 1)²)

x = 0(1) + 1(2 - 1) + 0((x - 1)²)

x² = 0(1) + 0(2 - 1) + 1((x - 1)²)

The coefficients of the linear combinations are the entries of the transition matrix from B to C. Thus, the transition matrix is

[1 0 0]

[0 1 0]

[0 0 1]

(c) Writing p(x) = a + bx + cx² as a linear combination of the polynomials in C

To write p(x) = a + bx + cx² as a linear combination of the polynomials in C, we need to express the polynomial p(x) in terms of the basis C.

We have the basis C = {1, (2 - 1), (x - 1)²}

p(x) = a + bx + cx² = a(1) + b(2 - 1) + c((x - 1)²) = a + b(2 - 1) + c((x - 1)²)

Thus, the polynomial p(x) = a + bx + cx² can be written as a linear combination of the polynomials in C as

p(x) = a + b(2 - 1) + c((x - 1)²)

Simplifying further

p(x) = a + b + c(x - 1)²

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In a process system with multiple processes, the cost of units completed in Department One is transferred to WIP (Work in Progress) in Department Two.

Here's a step-by-step explanation:

1. Department One completes units.

2. The cost of completed units in Department One is calculated.

3. This cost is then transferred to Department Two as Work in Progress (WIP).

4. Department Two will then continue working on these units and accumulate more costs.

5. Once completed, the total cost of units will be transferred further, either to Finished Goods Inventory or Cost of Goods Sold.

Remember, in a process system, the costs are transferred from one department to another as the units move through the production process.

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The multiplier is 5. To find the multiplier, we use the formula: Multiplier = 1 / (1 - MPC), where MPC is the marginal propensity to consume.

In this case, the consumption function is c = 75 + 0.80yd, which implies that MPC = 0.80. Therefore, the multiplier is 1 / (1 - 0.80) = 5. This means that an initial change in investment spending of $50 will lead to a total change in output (GDP) of $250, assuming no other changes in the economy.

The multiplier effect occurs because the initial injection of spending leads to an increase in income, which in turn leads to an increase in consumption, and so on, in a multiplier process.

It is important to note that the multiplier effect assumes that there are no leakages (such as taxes or imports) in the economy, which can reduce the size of the multiplier.

Additionally, the multiplier effect assumes that the economy is operating below full capacity, so that there is room for output to expand.

If the economy is already operating at full capacity, the multiplier effect may be limited, as additional spending may lead to inflationary pressures rather than an increase in output.

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Answer:

the answer to that would be 0.

Step-by-step explanation:

The value of p is -4 in the linear equation in one variable 4 - 3p = -5p - 24 the answer is -14.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation in one variable is:

4 - 3p = -5p - 24

After solving:

5p - 3p = -24 - 4

2p = -28

p = -28/2

p = -14

Thus, the value of p is -4 in the linear equation in one variable 4 - 3p = -5p - 24 the answer is -14.

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Answer:

I could but can you please put down the problem.

Step-by-step explanation:

Answer:

It is not a solution.

Step-by-step explanation:

I need points so can I get Brainliest?

You can separate the whole number and fraction parts to add two mixed numbers. Add the whole numbers first, and then look for a common denominator to add the fractions. Once you've calculated your total, you may need to simplify the fraction to get your final answer.

A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator.

Here,

To add two mixed numbers, separate the whole number and fraction parts. First, add the whole numbers, then look for a common denominator to add the fractions to. After you've determined your total, you may need to simplify the fraction to obtain your final answer.

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In order to determine the probability of a random selected student to be a men, we need to divide the number of men by the number of all the students in the class. We have:

The probability of a random student being a man is approximately 67%.

Equivalent expressions are expressions of equal values

The equivalent expression of 2x + (-x) + 3 + (-2) is x + 1

The expression is given as:

2x + (-x) + 3 + (-2)

Remove the brackets from the expression

2x -x + 3 -2

Evaluate the sums and differences in the above expression

x + 1

Hence, the equivalent expression of 2x + (-x) + 3 + (-2) is x + 1

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Answer:

x + 1 ,x + 1,1+x, 1 +

Step-by-step explanation:

Answer:12.5

Step-by-step explanation:

50 divided by 4 = 12.5

Answer: x = -3

Step-by-step explanation:

5 - 4x = 17

Solve:

-4x = 17 - 5

-4x = 12

x = 12/(-4)

x = -3

Therefore, the answer is -3.

Answer:

x= -3

5 - 4(-3) = 17

The approximate volume of the sphere is 6.01 ft³.

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).

Given that the surface area of the sphere is 16 square feet.

First, we determine the radius r:

Surface area = 4πr²

Hence

16 = 4πr²

Dividing both sides by 4π, we get:

r² = 16/4πr

r = √( 16/4πr )

r = 1.128 ft

Plugging in the value of r that we just found, we get:

Volume =  (4/3)πr³

Volume =  (4/3) × 3.14 × (1.128 ft)³

Volume =  6.01 ft³

Therefore, teh volume is 6.01 ft³.

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The common exponent is 4, so the final answer in standard form, correct to 3 significant figures (3sf), is: 1.712 x 10⁴

To solve the given expression, we'll need to follow the order of operations (PEMDAS/BODMAS).

First, we'll perform the division: 3.7 x 10⁻³ divided by 5.2 x 10⁻³.

To divide these two numbers, we can subtract their exponents:

10⁻³ - 10⁻³ = 0

So, the division simplifies to:

3.7 x 10⁰ divided by 5.2 x 10⁰

Any number raised to the power of 0 is equal to 1. Therefore, we have:

3.7 divided by 5.2

Now, we'll perform the addition: 1 x 10⁴ + 3.7/5.2

To add these two numbers, we need to make sure they have the same exponent. Since 1 x 10⁴ already has an exponent of 4, we'll convert 3.7/5.2 to scientific notation with an exponent of 4.

To do that, we divide 3.7 by 5.2 and multiply by 10⁴:

(3.7/5.2) x 10⁴

Calculating the division:

3.7 divided by 5.2 = 0.7115384615

Now we have:

0.7115384615 x 10⁴

3. Finally, we'll add 1 x 10⁴ and 0.7115384615 x 10⁴:

1 x 10⁴ + 0.7115384615 x 10⁴

To add these two numbers, we add their coefficients:

1 + 0.7115384615 = 1.7115384615

The common exponent is 4, so the final answer in standard form, correct to 3 significant figures (3sf), is:
1.712 x 10⁴

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The required interval has lower and upper limits of 0.209 and 0.271 respectively, with Option A being deemed correct.

When calculating the confidence interval for the population proportion, we utilize the formula:

Confidence Interval = Sample Proportion ± Margin of Error

Where the sample proportion represents the proportion of red candies observed in the sample, and the margin of error is determined based on the confidence level.

Given:

Sample Proportion (p) = 0.24 (rounded to three decimal places), which corresponds to 120 red candies out of 500 total candies.

Sample Size (n) = 500 candies

Confidence Level = 90%

To determine the margin of error, we first need to find the critical value for the 90% confidence level. The critical value corresponds to a Z-score that leaves 5% of the area in the tail on each side (since 100% - 90% = 10%, and we divide that by 2 to get 5% for each tail).

The critical value for a 90% confidence level is approximately 1.645 (rounded to three decimal places). You can look up this value in a standard normal distribution table or use a calculator.

Now, calculate the margin of error (ME):

\(ME = Z * \sqrt{{\hat p * \dfrac{1 -\hat p}{ n}}\)
\(ME = 1.645 * \sqrt{{0.24 * \dfrac{1 -0.24}{ 500}}\)

        = 0.0314 (rounded to five decimal places)

Finally, construct the confidence interval:

Lower Limit:
p - ME = 0.24 - 0.314
           = 0.209 (rounded to five decimal places)

Upper Limit:
p + ME = 0.24 + 0.314
           = 0.271 (rounded to five decimal places)

The correct answer is:

a.) lower limit: 0.209 upper limit: 0.271

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The probability distribution of Y is geometric with parameter p = 1 - \(e^-^\lambda\) is (1 -  \(e^-^\lambda\) )^(k-1) *  \(e^-^\lambda\)

If X is exponential with rate λ, then Y=[X]+1 is geometric with parameter p=1− \(e^-^\lambda\) .


Let X be an exponential random variable with rate λ, then the probability density function of X is fX(x) = λe^(-λx) for x ≥ 0.
Now, let Y = [X] + 1, where [X] is the largest integer less than or equal to X.
The probability that Y = k, where k is a positive integer, is given by:

P(Y = k) = P([X] + 1 = k)

= P(k-1 ≤ X < k)

= ∫_(k-1)^k λ \(e^-^\lambda^x\) dx

= e^(-λ(k-1)) - e^(-λk)

= (1 -  \(e^-^\lambda\) )^(k-1) *  \(e^-^\lambda\)

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Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.

The slope of a line determines how steep it is. Equations predicated on gradients might experience gradient overflow. One can determine the slope by dividing the midpoint of the run (length difference) between two points by the rise (vertical differentiation) between the same two points. The equation of the hill type with the notation y = mx + b is used to model the fixed path problem.

Here,

Given :

A slope having search functions for the control subjects and

the split-brain patients is different because

In general, the control participants' performance was less consistent than that of the split-brain patients.

Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.

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There are two possible volumes for the rectangular prism: 36 cubic units or 25 cubic units.

To find the volume of the rectangular prism with a space diagonal of 13 units and integer unit dimensions, we can follow these steps:

1. Recall that the space diagonal of a rectangular prism can be found using the Pythagorean theorem in 3D: d² = l² + w² + h², where d is the space diagonal, and l, w, and h are the length, width, and height of the prism.

2. Given that the space diagonal is 13 units, we have: 13² = l² + w² + h².

3. Since the dimensions are integers, we need to find the combination of l, w, and h that satisfies this equation. Possible combinations are: (2, 3, 6) and (1, 5, 5), as these are the only sets of integers that satisfy the equation.

4. Now, we can calculate the volume of the rectangular prism using the formula: Volume = l × w × h.

For the combination (2, 3, 6), the volume is: 2 × 3 × 6 = 36 cubic units.
For the combination (1, 5, 5), the volume is: 1 × 5 × 5 = 25 cubic units.

So, there are two possible volumes for the rectangular prism: 36 cubic units or 25 cubic units.

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Answer:

1) 16 - 6 × (44 + 51 ) +76 -160

16 - 6 × 95 + 76 - 160

16 - 570 + 76 - 160

16 - 494 - 160

-638

2) 44 + 70 ÷ 2 × (49 + 51) × 2 × 0 + 1

44 + 70 ÷ 2 × 100 × 2 × 0 + 1

44 + 35 × 100 × 2 × 0 + 1

44 + 0 + 1

45

3) 4 + 20 × 7 - 66 × (44 + 51) × 0 + 4

4 + 20 × 7 - 66 × 95 × 0 + 4

4 + 140 - 6270 × 0 + 4

4 + 140 - 0 + 4

4 + 140 + 4

148

5) 69445 ÷ 70

992.0714

992.1

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

im correct 100

Solution

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

Dilation is the enlargement or reduction in the size of an image. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 3 with a center of dilation at the origin.

Given triangle ABC has vertices at A(-1, 0), B(0, 1), C(3, 0).

If the triangle is dilated by a scale factor of 3, the new point is:

The new point is: A'(-1/3, 0), B'(0, 1/3), C'(1, 0). Hence the area of the triangle after dilation will be (one third) of the old points

Answer: I just took the test so the answer would be y=3,000x+12,000

Step-by-step explanation: hope this help thx for the points :D

Answer:

25 and 7

Step-by-step explanation:

I took 32 and split it in halves (16) and then added and took 9 from each half, the 9 coming from being half of 18. That gave me 7 and 25. 7 + 25 = 32 and 25 - 7 = 18.

Answer:

$2000

Step-by-step explanation:

To find the area of the floor, first we need to find the edge/ side of the cube.

          \(\boxed{\bf Volume \ of \ cube = Side^3} }\)

              \(Side^3 = 8000 \ ft^3\\\\ Side = \sqrt[3]{8000} \\\)

                      \(= \sqrt[3]{2*2*2*10*10*10}\\\\ = 2*10\\\\= 20 \ ft\)

Area of floor= side * side

                    = 20 * 20

                    = 400 ft²

Cost of flooring per square foot = $5

Cost of flooring 400 square feet = 400 * 5

                                                      = $ 2000

Ones that have an answer intersect.

The dimensions of the base are 180 feet in length and 165 feet in width.

The whole length of any closed shape's boundary is known as its perimeter. Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the perimeter-finding notion without even realizing it.

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The particular solution to the differential equation with the initial condition y(7) = 0 is:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x - 7.

To solve the given differential equation, we can use the method of separation of variables. Here's the step-by-step solution:

Step 1: Write the given differential equation in the form dy/dx = f(x, y).

  In this case, dy/dx = y² - 4.

Step 2: Separate the variables by moving terms involving y to one side and terms involving x to the other side:

  dy / (y² - 4) = dx.

Step 3: Integrate both sides of the equation:

  ∫ dy / (y² - 4) = ∫ dx.

Let's solve each integral separately:

For the left-hand side integral:

Let's express the denominator as the difference of squares: y² - 4 = (y - 2)(y + 2).

Using partial fractions, we can decompose the left-hand side integral:

1 / (y² - 4) = A / (y - 2) + B / (y + 2).

Multiply both sides by (y - 2)(y + 2):

1 = A(y + 2) + B(y - 2).

Expanding the equation:

1 = (A + B)y + 2A - 2B.

By equating the coefficients of the like terms on both sides:

A + B = 0, and

2A - 2B = 1.

Solving these equations simultaneously:

From the first equation, A = -B.

Substituting A = -B in the second equation:

2(-B) - 2B = 1,

-4B = 1,

B = -1/4.

Substituting the value of B in the first equation:

A + (-1/4) = 0,

A = 1/4.

Therefore, the decomposition of the left-hand side integral becomes:

1 / (y² - 4) = 1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2)).

Integrating both sides:

∫ (1 / (y² - 4)) dy = ∫ (1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2))) dy.

Integrating the right-hand side:

∫ (1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2))) dy

= (1/4) * ln|y - 2| - (1/4) * ln|y + 2| + C₁,

where C₁ is the constant of integration.

For the right-hand side integral:

∫ dx = x + C₂,

where C₂ is the constant of integration.

Combining the results:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| + C₁ = x + C₂.

Simplifying the equation:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x + (C₂ - C₁).

Combining the constants of integration:

C = C₂ - C₁, where C is a new constant.

Finally, we have the solution to the differential equation that satisfies the initial condition:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x + C.

To find the value of the constant C, we use the initial condition y(7) = 0:

(1/4) * ln|0 - 2| - (1/4) * ln|0 + 2| = 7 + C.

Simplifying the equation:

(1/4) * ln|-2| - (1/4) * ln|2| = 7 + C,

(1/4) * ln(2) - (1/4) * ln(2) = 7 + C,

0 = 7 + C,

C = -7.

Therefore, the differential equation with the initial condition y(7) = 0 has the following specific solution:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x - 7.

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Answer:

Where is point A and B. Confusing -.-

Step-by-step explanation:

Answer:

I think it's 3 steps

Step-by-step explanation: