Determine the coordinates of the x-intercept of 5x − 5y = 4​

To write the form of the partial fraction decomposition of the given rational expressions, we need to express them as a sum of simpler fractions. The general form of a partial fraction decomposition is:

f(x) = A/(x-a) + B/(x-b) + C/(x-c) + ...

where A, B, C, etc., are constants and a, b, c, etc., are distinct linear factors in the denominator.

For the rational expression x^2 - 7x:

The denominator has two distinct linear factors: x and (x - 7). Therefore, the partial fraction decomposition form is:

(x^2 - 7x)/(x(x - 7)) = A/x + B/(x - 7)

For the rational expression 6x + 5 / (x + 8):

The denominator has one linear factor: (x + 8). Therefore, the partial fraction decomposition form is:

(6x + 5)/(x + 8) = A/(x + 8)

For the rational expression 20 - 3 / (4x + 3):

The denominator has one linear factor: (4x + 3). Therefore, the partial fraction decomposition form is:

(20 - 3)/(4x + 3) = A/(4x + 3)

In each case, we write the partial fraction decomposition form by expressing the given rational expression as a sum of fractions with simpler denominators. Note that we have not solved for the constants A, B, C, etc., as requested.

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Answer:

\(64 \: pieces\)

Step-by-step explanation:

\(total \: = {2}^{15} \: square \: miles \\ sold \: = {8}^{3}=({2}^{3})^{3} = {2}^{9}square\:miles\)

\( {2}^{15} \div {2}^{9} = {2}^{6} = 64\)

Answer:

20x - 24

Step-by-step explanation:

-4(-5x + 6)

20x - 24

Answer:

C or d

Step-by-step explanation:

Answer:Equivalent ratios are ratios that make the same comparison of numbers. Two ratios are equivalent if one can be expressed as a multiple of the other.

Answer:

ratios that make the same comparison of numbers

Step-by-step explanation:

i hope thats good for u

Answer:

x=6+3y

Step-by-step explanation:

x subject of the formula

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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The total amount of kinetic and potential energy in a system is called mechanical energy.

Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.

In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.

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If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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A table of values can be used to represent variables that are directly proportional.

The complete table of proportions is:

\(\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]\)

Given that

\(\left[\begin{array}{ccccccccc}Letters&10&2&[\ ]&7&1&500&[\ ] \\Cost&0.45&0.90&6.75&[\ ]&[\ ]&[\ ] & 18.90\end{array}\right]\)

Let:

\(L \to\) Letters

\(C \to\) Cost

Using proportional reasoning, we have:

\(C = kL\)

Where

\(k \to\) ratio of proportion

For the first values of C and L, we have:

\(C = kL\)

\(0.45 = k \times 10\)

Divide both sides by 10

\(k = 0.045\)

So, the equation of proportion is:

\(C = 0.045L\)

When C = 6.75, we have:

\(C = 0.045L\)

\(6.75 = 0.045L\)

Solve for L

\(L = \frac{6.75}{0.045}\)

\(L = 150\)

When L = 7, we have:

\(C = 0.045L\)

\(C = 0.045 \times 7\)

\(C = 0.315\)

When L = 1, we have:

\(C = 0.045L\)

\(C = 0.045 \times 1\)

\(C = 0.045\)

When L = 500, we have:

\(C =0.045L\\\)

\(C =0.045 \times 500\)

\(C =22.5\)

When C = 18.90, we have:

\(C = 0.045L\)

\(18.90 = 0.045L\)

Solve for L

\(L=\frac{18.90}{0.045}\)

\(L=420\)

Hence, the complete table is:

\(\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]\)

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Answer:

2.33

Step-by-step explanation:

to get this answer you divide 7 by 3 to get 2.33

hope this helped

The apple cider to get by each person will be equal to 2.33 cups.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data given in the question,

Apple cider made by Stephanie = 7 cups.

Total number of people = 3

Each person will get = 7/3 = 2.33 cups of Apple cider.

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The time needed to complete a certain test is a normal distribution with a mean of 43 minutes and a standard deviation of 8 minutes.

A normal distribution is a bell-shaped curve that represents a continuous probability distribution. The mean, represented by the symbol μ (mu), is the central tendency of the distribution, while the standard deviation, represented by the symbol σ (sigma), measures the spread of the data. In this case, the mean time needed to complete the test is 43 minutes, and the standard deviation is 8 minutes. This means that most people will take around 43 minutes to complete the test, with fewer people taking either longer or shorter times. The standard deviation of 8 minutes suggests that the time it takes people to complete the test can vary by up to 8 minutes from the mean. The normal distribution is a widely used statistical model, and understanding its properties can help us make predictions and draw conclusions about data.

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If committee of 16 students must select a president, a vice-president, a secretary, and a treasurer then there is 3360 possible ways can this be accomplished.

In the given question,

If you have 16 students, and wishes to pick a president, secretary, and treasurer, then we have to find how many ways can we choose the officers, if individual members may hold more than one office.

We have total 16 students.

Their have total 3 position president, secretary, and treasurer.

When the one position of president filled then their was left 15 students for the secretary position.

When the one position of secretary filled then their was left 14 students for the  treasurer position.

So the possible ways to fill the position is find by multiplying the 16,15 and 14. So

Possible ways=16*15*14

Possible ways=3,360

Hence, if committee of 16 students must select a president, a vice-president, a secretary, and a treasurer then there is 3360 possible ways can this be accomplished.

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Answer:

His total commission was: $2,960

Step-by-step explanation:

The commissions that Michael Fenton earns by selling plumbing supplies to contractors has three levels:

On the first $15,000 in sales, he earns 3%

On the next $15,000 in sales, he earns 5%

Over $30,000 in sales, he earns 8%.

Last month he sold $52,000 worth of plumbing supplies. His commissions will be calculated according to the levels reached:

The first $15,000 gave him 3%*15,000=0.03*15,000=$450

From the $52,000 sales, there remains $52,000 - $15,000 = $37,000 for the next levels.

The next $15,000 gave him 5%*15,000=0.05*15,000=$750

Now $37,000 - $15,000 = $22,000 remain for the last level.

Michael earned 8% of $22,000 = 0.08*22,000 = $1,760

His total commission was: $450 + $750 + $1,760 = $2,960

Answer:

Number of yards per day = 20.83 yard (Approx)

Step-by-step explanation:

Assume;

Number of yards = x per day

Number of yards on 6th day = x + 8

Total yards = 133

Find:

Number of yards per day

Computation:

Total yards = 5[x] + x + 8

133 = 6x + 8

6x = 125

x = 20.83 yard

Number of yards per day = 20.83 yard (Approx)

Answer:

20.83 yards

Step-by-step explanation:

Calculate Cubic Yards

Calculate your area

Calculate your volume: Multiply area times the depth to get volume in cubic feet

Calculate your cubic yards: Divide cubic feet by 27 to convert to cubic yards and this is your answer

Where ft2 = square foot, ft3 = cubic foot, yd3 = cubic yard

Total yards = 5[x] + x + 8  

Solve

133 = 6x + 8

6x = 125

x = 20.83 yard

Therefore, the Cyclone cleared 20.83 yards on the first day.

Answer:

The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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Answer:

2.7

Step-by-step explanation:

The 3 does not round up the 7, so it stays as 2.7

Answer:

2.7

Step-by-step explanation:

the tenths place is the first number after the decimal. When rounding numbers 5 and higher can increase the number next to it by 1. So 2.736 becomes 2.74 then becomes 2.7 as the 4 is not able to round the number since it is below 5.

Answer:

A. 60

B. 50

C. 5

Hope this helped :3

ANSWERS

A THE INITIAL SPEED OF CAR IS O KM/H

B THE HEIGEST SPEED OF VAN IS 50 KM/H

C FOR 10 sec THE VAN IS TRAVELING FASTER THAN CAR

PLEASE MARK ME AS BRAINLIEST

(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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Answer:

-16

Step-by-step explanation:

g(x) = (x + 5)2 - 12

g(-7)=(-7+5)2-12

g(-7)=(-2)2-12

g(-7)=-4-12

g(-7)=-16

Answer:

the answer is $12 per hour

Step-by-step explanation:

just took the quiz

Answer:

its A $12 per hour

Step-by-step explanation:

just took the test

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

Assuming that a randomly selected subject is given a bone, it seems that we need to consider the context and determine the implications or consequences of this action. Without further information, it is difficult to provide a specific explanation or analysis. However, we can discuss some general possibilities and considerations related to giving a bone to a subject.

1. Medical Treatment: Giving a bone could be related to medical treatment or procedures. For example, in orthopedic medicine, bones may be used for grafting or reconstructive surgeries to repair damaged or fractured bones.

2. Nutritional Benefits: Bones, such as beef or chicken bones, can be used to make broths or stocks that are rich in nutrients like collagen, calcium, and other minerals. These bone-based products are often consumed for their potential health benefits.

3. Animal Care: Giving a bone to an animal, particularly dogs, is a common practice. Bones can serve as a form of entertainment or enrichment for pets, satisfying their chewing instincts and providing dental benefits.

4. Symbolic Meaning: In certain cultures or traditions, bones can hold symbolic meanings. They may be used in rituals, ceremonies, or artistic expressions to represent various concepts, such as strength, mortality, or spirituality.It's important to note that the above interpretations are speculative and based on general assumptions. The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

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Answer:

the smaller triangle is 2x smaller than the larger one.

The volume of the square pyramid will be 108 cm³.

What is volume of square pyramids?  

A square pyramid's volume is the space contained between its five sides. The volume of a square pyramid = one-third of the product of the base area and the height of  pyramid. As a result, volume = (1/3) (Base Area) (Height). The volume of a square pyramid is expressed in "cubic units" as the number of unit cubes that can fit inside it. It is commonly stated as m3, cm3, in3, and so forth.

A square pyramid is a five-sided three-dimensional shape. A square pyramid is a polyhedron (pentahedron) made out of a square base and four triangles joined at the vertex. It has a square base and triangular side faces with a shared vertex.

Now,

As given that

side of square=9 cm and height of pyramid= 4cm

then volume of pyramid=1/3*area of square*height of pyramid

=1/3*9*9*4

=3*9*4

=108 cm³

Hence,

         The volume of the square pyramid will be 108 cm³.

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In mathematics, the y-intercept is the point where the graph of a function intersects the y-axis. It is the value of the function when the input variable (x) is zero. Here, the y-intercept for this table of data is 2.436 cm.

Finding the y-intercept can provide important information about the function, such as its starting point or the value of the function when the input is zero.

To find the y-intercept from a table of data, you need to identify the point where the x-value is zero or where the input variable is not present. In this case, we do not have an x-value of zero in the table, so we cannot directly determine the y-intercept from the given data.

However, we can use the data to find an equation that represents the relationship between the x-values and y-values in the table. One common method to find this equation is to use linear regression, which involves finding the line of best fit that passes through the data points.

Using linear regression on the given data, we obtain the equation: y = 0.103x + 2.436 where x represents the force in Newtons, and y represents the length in centimeters. This equation represents a linear relationship between force and length, where the y-intercept is 2.436 cm.

Therefore, the y-intercept for this table of data is 2.436 cm. It represents the value of the length when the force is zero or when there is no applied force.

In summary, the y-intercept is the point where the graph of a function intersects the y-axis, which can provide important information about the function. To find the y-intercept from a table of data, you need to identify the point where the input variable is not present and use regression analysis to find the equation that represents the relationship between the x-values and y-values in the table.

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The present value that should be invested now to have a future value of $2,800 in 4 years at 11% interest compounded monthly is $1,807.

The present value is the future value discounted at an interest rate.

We can use an online finance calculator to determine the present value of a future value as follows:

N (# of periods)

48 months (4 years x 12)

I/Y (Interest per year) = 11%

PMT (Periodic Payment) = $0

FV (Future Value) = $2,800

Results:

Present Value (PV) = $1,807

Total Interest = $993

Thus, a present value of $1,807 can reach $2,800 in 4 years at 11% compounded monthly.

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(√(2)t^4 - 6√(2)/t) i - √(2)t^3j + (√(2)t^2 - √(2)/t)k is the cross product (a × b).

We have,  a = t, 6, 1/t and b = t², t², 1,

The cross product a × b. In vector algebra, the cross product of two vectors is another vector that is perpendicular to both of them.

A vector product is also known as the vector product of two vectors or the exterior product of two vectors.

The cross product of two vectors a and b is given by:

a × b = |a| |b| sin(θ) n

where |a| and |b| are the magnitudes of vectors a and b, θ is the angle between them, and n is a unit vector perpendicular to both a and b.

To find the cross product of a and b, we first need to calculate the magnitudes of a and b:

|a| = √(t^2 + 6^2 + (1/t)^2) = √(t^4 + 36 + 1/t^2)

|b| = √(t^4 + t^4 + 1) = √(2t^4 + 1)

Next, we need to find the angle between a and b. We can use the dot product to do this:

a · b = |a| |b| cos(θ)

a · b = t(t^2) + 6(t^2) + (1/t)(1) = t^3 + 6t^2 + 1/t

|a| |b| = √(t^4 + 36 + 1/t^2) √(2t^4 + 1)

cos(θ) = (t^3 + 6t^2 + 1/t) / (√(t^4 + 36 + 1/t^2) √(2t^4 + 1))

θ = arccos((t^3 + 6t^2 + 1/t) / (√(t^4 + 36 + 1/t^2) √(2t^4 + 1)))

Now, the cross-product using the formula:

a × b = |a| |b| sin(θ) n

where n is a unit vector perpendicular to both a and b. We can find n by taking the determinant of the matrix:

i j k

t 6 1/t

t^2 t^2 1

n = (t^2 - 6/t)i - (t^3 - t/j)j + (t^2 - t/k)k

a × b = |a| |b| sin(θ) n

a × b = √(t^4 + 36 + 1/t^2) √(2t^4 + 1) sin(θ) ((t^2 - 6/t)i - (t^3 - t/j)j + (t^2 - t/k)k)

Therefore, the cross-product of a and b is:

a × b = (√(2)t^4 - 6√(2)/t) i - √(2)t^3j + (√(2)t^2 - √(2)/t)k

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