Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-2x +y = 5
- 4x + 2y = 16
One Solution
O No Solutions
Infinitely Many Solutions

Answer:

1.) (x - 13)(x - 8)

2.) x(x - 11)(x + 13)

3.) (x - 2)(x - 4)(2x + 1)

4.) (3x + 2)(3x - 1)

5.) (x - 4)(3x + 13)

Step-by-step explanation:

1.) (x² - 13x - 9x + 117) + (x - 13)

2.) x(x² + x - 132) + x(x - 11)

= x(x + 12)(x - 11) + x(x - 11)

= x(x - 11)(x + 13)

3.) (2x³ - 12x² + 16x) + (x -2)(x -4)

= 2x(x² - 6x + 8) + (x -2)(x - 4)

= 2x(x² - 4x - 2x + 8) + (x -2)(x -4)

4.) 9x² - 4 + (3x + 2)

= (3x)² -2² + (3x + 2)

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

5.) (3x² - 48) + (x - 4)

= 3(x - 4)(x + 4) + (x - 4)

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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Answer:

6a^2 + ab - 2b^2

Step-by-step explanation:

[insert something smart]

The two polygons are similar if the corresponding angles are congruent and the corresponding sides are proportional,the value of x is 8.

The two polygons are similar if the corresponding angles are congruent and the corresponding sides are proportional. Therefore, the ratio of the lengths of the sides of the two polygons is equal to the ratio of the measures of the corresponding angles.

In this case, the ratio of the corresponding side lengths of the two polygons is equal to the ratio of the measures of the corresponding angles. The ratio of the lengths of the two sides of the larger polygon (x-3 , 8 and 16) is (x-3)/8 : 8/16. This ratio is equal to the ratio of the measures of the corresponding angles of the two polygons, which is 2.5/2 : 2/4.

Equating these two ratios, we get (x-3)/8 = 2.5/2 and 8/16 = 2/4. Solving these two equations, we get x-3 = 5 and 8 = 4. Adding 3 to both sides, we get x = 8. Hence, the value of x is 8.Therefore, the value of x is 8.

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Existen varias situaciones en las que es posible que los pagos mensuales sean más bajos, pero los pagos totales sean más altos. A continuación, se presentan algunas posibles explicaciones:

Tasa de interés: Si un préstamo tiene una tasa de interés más alta, aunque los pagos mensuales sean bajos, a largo plazo se terminará pagando más dinero en intereses, lo que aumentará los pagos totales.

Plazo del préstamo: Si el plazo del préstamo es más largo, los pagos mensuales serán más bajos, pero a lo largo del tiempo se pagarán más intereses, lo que aumentará los pagos totales.

Pago inicial: Si una persona decide hacer un pago inicial más bajo en un préstamo, los pagos mensuales serán más bajos, pero los pagos totales serán más altos ya que el capital restante en el préstamo será mayor y por lo tanto, se pagará más intereses.

Comisiones y cargos: Si un préstamo tiene comisiones y cargos ocultos, los pagos mensuales pueden ser más bajos, pero los pagos totales pueden ser más altos debido a los cargos adicionales.

En resumen, es importante leer cuidadosamente los términos y condiciones de un préstamo para comprender los costos totales a largo plazo y tomar una decisión informada sobre si los pagos mensuales más bajos son realmente más beneficiosos.

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86 liters of 35% salt solution should be added to 20 liters of an 70% salt solution so that the resulting solution contains 45% salt solution .

For given question,

Let x be the quantity ( in liters ) of 35 percent salt solution added to 20 liters of an 70 percent salt solution so that the resulting solution contains 45 percent salt,

Thus,

Quantity of salt solution in 20 liters + Quantity of salt solution in x

= Quantity of salt solution in resultant mixture.

⇒ 70% of 20 + 35% of x = 45% of (20 + x )

⇒ 14 + (0.35x) = 0.45 × ( 12 + x )

⇒ 14 + 0.35x = 5.4 + 0.45x

⇒ 14 - 5.4 = 0.45x - 0.35x

⇒ 8.6 = 0.10x

⇒ x = 86 liters

Therefore, 86 liters of 35% salt solution should be added to 20 liters of an 70% salt solution so that the resulting solution contains 45% salt solution .

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Answer:

non-proportional because it doesn't start at the origin

Answer:

yes it is

Step-by-step explanation:

the X column is going up by 1 and the Y column is going down by 2

Answer:

Hitler Youth, founded in 1926, young children were taught how to use weapons and how to kill. This could have had a psychological effect on their developing minds. They were also taught the ideals and values of Hitler. They were taught that the ideal way to be was cis, straight, Christian, white, blonde, and blue eyes. Some children didn't possess these qualities negatively affecting the way they view themselves and those who did possess these traits dramatically looked down on others. The purpose of the Hitler Youth was to train children to be prepared to give their lives for their country.

Step-by-step explanation:

In the point (r, θ), r signifies the distance from O to P, while θ represents the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

For the point (r, θ), r is the distance from O to P, and θ is the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

In polar coordinates, a point is represented by its distance (r) from the origin (O) and the angle (θ) it forms with the positive x-axis. The distance (r) denotes the length of the line segment connecting the origin to the point P. It indicates how far the point is from the origin. The angle (θ) represents the rotation or angular position of the line segment ¯¯¯¯¯¯¯¯OP from the polar axis (positive x-axis) in a counterclockwise direction. It determines the direction in which the point is located relative to the polar axis.

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Answer:

A

Step-by-step explanation:

Answer:

229

Step-by-step explanation:

Area of square is = 20 * 20 = 400

radius = 20 / 2 = 10

Area of semi circle is = 1/2 * πr²

= 1/2 * 3.14 * 10²

= 1/2 / 314

= 157

assume there are four shaded regions for the figure

Area of 4 semicircles−Area of shaded region=Area of square ABCD

Area of shaded region=Area of 4 semicircles−Area of square ABCD

= 4 * 157 - 400

= 628 - 400

= 228

so each single shaded area is 228/4

= 57

now in your problem there are 3 shaded regions like this

so area of unshaded region is =

Area of square - 3 * shaded region area of one region

=> 400 - 3 * 57

=> 400 - 171

=> 229

Atticus's target audience is likely to hold respectful and appreciative attitudes towards his subject, which is likely related to social justice, equality, and fairness.

They may view Atticus as a knowledgeable and compassionate authority figure who is committed to upholding these values. Atticus's audience may also hold similar values themselves, which contributes to their positive view of him. Additionally, Atticus's audience may hold a sense of admiration and trust for him due to his reputation as a skilled lawyer and his involvement in the community. Overall, Atticus's audience likely holds positive attitudes towards his subject and towards Atticus himself. Atticus's target audience in "To Kill a Mockingbird" holds a range of attitudes and assumptions towards his subject and himself. They generally uphold the racist beliefs prevalent in Maycomb, Alabama, and may initially view Atticus with skepticism or disdain due to his defense of Tom Robinson, a Black man accused of raping a white woman. Atticus's audience may assume he is betraying his race or community by advocating for a fair trial. Despite this, his integrity, empathy, and commitment to justice gradually challenge their prejudices and demonstrate the importance of upholding moral principles.

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Answer:

75 is the answer, please.

Answer: x= 5/2

Step-by-step explanation::)

Answer:

x=7

Explanation:

If M is the midpoint of segment CD, it means M divides CD into two equal parts (CM and MD). Therefore:

CM=MD

5x-12=2x+9

5x-2x=9+12

3x=21

x=21/3

x=7

The value of x is 7.

There are two real number solutions for x2 − 5x + 7 = 0: x = 2 and x = 7.

1. x2 − 5x + 7 = 0

2. (x - 2)(x - 7) = 0

3. x = 2 or x = 7

When solving for the real number solutions of x2 − 5x + 7 = 0, we first need to factor the equation into two linear terms: (x - 2)(x - 7) = 0. From here, we can use the Zero Product Property to determine that x = 2 and x = 7 are the two real number solutions of this equation. This means that when x is equal to 2 or 7, the equation will equal 0 and all other values of x will result in a non-zero answer. Therefore, the only two real number solutions of x2 − 5x + 7 = 0 are x = 2 and x = 7.

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The promotion rate distribution of employees can be either unimodal or bimodal, depending on the company's policies and the type of employees. Understanding the distribution is important for employees as it provides insight into the likelihood of being promoted and the time it may take to reach the desired promotion.

Promotion Rates for Employees: Promotion is a common goal for employees as it is often associated with career advancement, higher salaries, and increased responsibility. The rate at which employees are promoted can vary from company to company, depending on various factors such as the size of the organization, the industry, and the company's policies.

In this context, it is important to understand the distribution of the promotion rates, which can be either unimodal or bimodal. Unimodal Distribution: A unimodal distribution is a type of distribution that has a single peak or mode. This means that the majority of the employees are promoted at a certain rate, and the frequency of promotions decreases as the rate moves away from the mode.

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Answer: median

Step-by-step explanation:

In order to identify the reflection we use the y-axis as a mirror, this means that the distance for every point needs to be equal from the left to the right,

Answer:

55

Step-by-step explanation:

we know ,

discount = M.P - S.P

=300 - 245

= Rs 55

Answer:

22.45%

Step-by-step explanation:

300-245=55

then do like in the pic

Volume of backfilling: \(6m x 6m x 1m = 36m³\)

Cost of backfilling: 3\(6m³ x RM20.00/m³ = RM720.0\)0

(Based on given table)Item Description Unit Rate (RM) Pad foundation Pl concrete work m³ 1,600.00 Therefore, the total built-up cost for pad foundation Pl concrete work is:

\(RM57,600.00 + RM1,820.00 + RM896.00 + RM1,920.00 + RM540.00 + RM720.00 = RM63,496.00.\)

Reinforcement bar Ø 16mm Kg 6.50 Reinforcement bar Ø 10mm Kg 3.20

Formwork work m² 48.00 Excavation m³ 15.00 Backfilling m³ 20.00a)

Calculation of built-up cost for pad foundation Pl concrete work

Area of pad foundation: 6m x 6m = 36 m²Depth of pad foundation: 1mVolume of pad foundation: 36m² x 1m = 36m³

Cost of pad foundation Pl concrete work: 36m³ x RM1,600.00 = RM57,600.00b) Calculation of built-up cost for reinforcement bar Ø 16mmRequirement of reinforcement bar Ø 16mm for pad foundation: 280kg

Cost of reinforcement bar Ø 16mm: \(280kg x RM6.50/kg = RM1,820.00\)c) Calculation of built-up cost for reinforcement bar Ø 10mm

Requirement of reinforcement bar Ø 10mm for pad foundation: 280kgCost of reinforcement bar Ø 10mm:\(280kg x RM3.20/kg = RM896.00\)d) Calculation of built-up cost for formwork work Area of formwork work: 36m² + 4m² (for rebates) = 40m²Cost of formwork work: 40m² x RM48.00/m² = RM1,920.00e) Calculation of built-up cost for excavation Volume of excavation: 6m x 6m x 1m = 36m³

Cost of excavation: \(36m³ x RM15.00/m³ = RM540.00f\)) Calculation of built-up cost for backfilling

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Answer:

(-7, 4)

Step-by-step explanation:

I checked on photomath

The side resistance in kips using the US Army Corps of Engineers (EM 1110-2-2906, Figure 4-5a) alpha method is X kips.

To calculate the side resistance using the alpha method, we need to follow a series of steps. Here's how it can be done:

Determine the pile tip resistance (Qtn) based on the undrained shear strength (Su) and pile diameter (D). This can be done using the equation Qtn = (0.15 + 0.4 × α) × Su × D, where α is a correction factor.

Calculate the effective stress at the pile tip (σtn) by subtracting the buoyant unit weight of soil from the total unit weight of soil.

Calculate the ultimate side resistance (Qu) using the equation Qu = α × σtn × Ap, where Ap is the projected area of the pile.

In this case, the undrained shear strength is given as 3244 psf, the pile diameter is 23 inches, and the pile depth is 15.

By plugging in these values and following the steps mentioned above, we can determine the side resistance in kips using the alpha method.

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Answer:

The person above is correct. the answer is D. I, III, II

Step-by-step explanation:

I just did the test and it was right

The corresponding angles formed by two parallel lines having the same  transversal are congruent.

The correct order of the statements are:

III m∠VQT + m∠ZRS = 180°

II m∠SQV + m∠VQT = m∠VQT + m∠ZRS

I m∠SQV + m∠VQT - m∠VQT = m∠VQT  m∠ZRS - m∠VQT

The two column proof is presented as follows;

Statements                                                           Reason

Segments UV is parallel to segment WZ            Given

Points S, Q, R, and T all lie on the same line       Given

m∠SQT = 180°                                                        Definition of a straight                                      

                                                                                angle

m∠SQV + m∠VQT = m∠SQT                                 Angle Addition Postulate

m∠SQV + m∠VQT = 180°                             Substitution Property of                       Equality

III m∠VQT + m∠ZRS = 180°                          Same-side interior angle theorem

II m∠SQV + m∠VQT = m∠VQT + m∠ZRS    Substitution Property of Equality

I m∠SQV + m∠VQT - m∠VQT = m∠VQT

+ m∠ZRS - m∠VQT                                       Subtraction Property of Equality

m∠SQV = m∠ZRS                                      

m∠SQV ≅ m∠ZRS                                        Definition of Congruency

Therefore, the correct order;

First

III m∠VQT + m∠ZRS = 180°,

Given that m∠VQT and  m∠ZRS are same side interior angles

Second; II m∠SQV + m∠VQT = m∠VQT + m∠ZRS,  

By Substitution Property of Equality given that both (m∠SQV + m∠VQT), (m∠VQT + m∠ZRS) are equal to 180°

Third; I m∠SQV + m∠VQT - m∠VQT = m∠VQT  m∠ZRS - m∠VQT,

The same value - m∠VQT is subtracted from both sides of the equation in Step II, therefore, both sides of the equation remains equal.

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The Upper Control Limit (UCL) in the X-bar Chart does not need to be an integer.  It can be a decimal or fractional value based on statistical calculations and process data. So, the statement is false.

The X-bar Chart is a statistical process control chart used to monitor the central tendency or average of a process over time.

The UCL in the X-bar Chart represents the upper limit beyond which the process is considered out of control. It is typically calculated based on the process data and control limits formula, which considers factors such as process variation and sample size.

The UCL value can be a decimal or fractional value, depending on the data and the statistical calculations involved. It is not restricted to integers.

Therefore, the statement that the value of the Upper Control Limit of the X-bar Chart must be an integer is FALSE.

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Answer:

125°

Step-by-step explanation:

x + 24 is equal to 1.

6 is equal to 4x + 1

1 and 4x + 1 = 180°

x + 24 + 4x + 1 = 180

4x + x + 24 + 1 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

5x/5 = 155/5

x = 31

(angle) 6 = 4x + 1

(angle) 6 = 4(31) + 1

(angle) 6 = 124 + 1

(angle) 6 = 125°

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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