Solve the system of equations.

6x – y = 6
6x2 – y = 6

(0, 6) and (0, –6)
(1, 0) and (0, –6)
(2, 6) and (1, –11)

Right now, x is only equal to two. Square both sides, and x^2 = 4. For some reason, if you want to take the square root of both sides, and you get x= +/- 2, ...

\(\huge \rm༆ Answer ༄\)

The equivalent expression is ~

Refer to attachment for solution ~

For x such that 0 < x < \(\frac{\pi}{2}\), the mathematical expression is:

\(\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2\)

Given the following data:

In Trigonometry, you should take note of the following mathematical expression:

\(sin^2x + cos^2x = 1\)

Therefore, we can obtain the following:

\(sin^2x = 1 - cos^2x\)   ...equation 1.

\(cos^2x = 1 - sin^2x\)    ...equation 2.

Substituting the equations respectively, we have:

\(\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\\)

Taking the square roots, we have:

\(\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2\)

Therefore, for x such that 0 < x < \(\frac{\pi}{2}\), the expression is:

\(\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2\)

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It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.

While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.

It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.

To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.

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Answer:Part A it has 4

Step-by-step explanation: PartB  (6, 6)  (3, 5)

In any revolution of the ferris wheel, your seat will be above 9 meters for a certain duration of time.

To calculate this duration, we can use the concept of angular displacement. The ferris wheel completes one revolution, which corresponds to an angular displacement of 360 degrees or 2π radians.

Since the diameter of the ferris wheel is 12 meters, the radius is half of that, which is 6 meters.

When your seat is above 9 meters, it means that you are higher than half the diameter of the ferris wheel. In other words, your height from the center of the ferris wheel is greater than 6 meters.

To determine the angular displacement for which your seat is above 9 meters, we can use the trigonometric relationship between the angle and the height.

By using the sine function, we can write sinθ = height / radius. Rearranging this equation, we get height = radius * sinθ.

Substituting the values, we have height = 6 * sinθ.

To find the duration of time, we need to find the values of θ for which the height is greater than 9 meters.

Therefore, we need to solve the inequality 6 * sinθ > 9.

By solving this inequality, we can find the range of values for which your seat will be above 9 meters during a revolution of the ferris wheel.

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Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer:

Hi we need a picture or a chart.

Step-by-step explanation:

Answer:

2,411.44

Step-by-step explanation:

Mathematical modeling, in which equations are used to model the relationships between variables, is a technique used in various fields and disciplines. Some areas where mathematical modeling is commonly applied include:

Physics: Mathematical models are used to describe and predict physical phenomena, such as the motion of objects, the behavior of fluids, and the interactions of particles.

Engineering: Mathematical models are employed in engineering to design and analyze systems, such as electrical circuits, mechanical structures, and chemical processes. These models help engineers optimize performance, improve efficiency, and ensure safety.

Economics: Mathematical models are used in economics to understand and predict economic behavior, market dynamics, and the effects of various factors on economic systems. Models such as supply and demand curves, production functions, and macroeconomic models help economists study and analyze economic phenomena.

Biology: Mathematical models are used in biology to describe biological processes and systems, including population dynamics, biochemical reactions, ecological interactions, and genetic inheritance. These models help biologists understand complex biological phenomena and make predictions about their behavior.

Computer Science: Mathematical models are utilized in computer science to analyze algorithms, design computer networks, and optimize system performance. Models such as graph theory, automata theory, and computational complexity theory provide frameworks for understanding and solving computational problems.

Finance: Mathematical models play a crucial role in finance for pricing options, managing risks, and predicting market behavior. Models like the Black-Scholes model and portfolio optimization models help financial analysts make informed investment decisions.

These are just a few examples of the many fields where mathematical modeling is used.

The power of mathematical modeling lies in its ability to represent real-world phenomena in a precise and quantitative manner, allowing for analysis, prediction, and optimization.

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Option B is the correct answer. The best approximation of the relative maximum of the polynomial function  graphed below is (-3.6,17)

The relative maximum is in the peak on the left side.

A function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, or cubic equation.

The general Polynomial Formula is

\(P(x)=a_{n} x^n+a_{n-1} x^n^-1+..........+a_{2} x^2+a_{1} x^1+a_{0}\)

where all the powers are non-negative integers.

And, a0,a1,………,an ∈ R

The graph of function depends upon its degree, and having one variable which has the largest exponent is called a degree of the polynomial.

There are some Graphs of Higher Degree Polynomial Functions:

The Standard form is:

P(x) = an xn + an-1 xn-1+.……….…+ a0

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Answer:

y-1=6(x-1)

y-1=6x-6

y-6x=-6+1

y-6x=-5

y-x=-5+6

Answer:

y=6x-5

Step-by-step explanation:

y-1=6(x-1)  

(distribute 6 to x-1)

y-1=6x-6

(add 1 to both sides)

y=6x-5

Answer:

The sum of 4 and a number

4+x

Divided by 2 is less than -6

4+x/2<-6

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

The correct answer is b. Characteristic equation. the equation formed by equating the denominator of a transfer function to zero is known as the characteristic equation.

In control systems theory, the characteristic equation is formed by equating the denominator of a transfer function to zero. It plays a crucial role in the analysis and design of control systems.

The transfer function of a control system is represented as the ratio of the Laplace transform of the output to the Laplace transform of the input. The denominator of the transfer function represents the characteristic equation, which is obtained by setting the denominator polynomial equal to zero.

The characteristic equation is an algebraic equation that relates the input, output, and system dynamics. By solving the characteristic equation, we can determine the system's poles, which are the values of the complex variable(s) that make the denominator zero. The poles of the system are crucial in understanding the system's stability and behavior.

The characteristic equation helps in determining the stability of a control system. If all the poles of the characteristic equation have negative real parts, the system is stable. On the other hand, if any pole has a positive real part or lies on the imaginary axis, the system is unstable or marginally stable.

Moreover, the characteristic equation is used to calculate important system properties such as the natural frequency, damping ratio, and transient response. These properties provide insights into the system's performance and behavior.

In summary, it plays a fundamental role in control systems analysis and design, allowing us to determine system stability, transient response, and other important properties.

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Answer: x+42x-2

Step-by-step explanation:

Answer: Part A: 4x    Part B: 4x

Step-by-step explanation: you have to add them

Any number apart from 3 can be used to replace the ? to create a function.

In a function, the inputs do not repeat that is the input in all cases should be unique in nature.

The inputs are assigned to exactly one output for each.

Three is one of the options to create a non function as three is already an input in the given function.

Replacing the ? with 3 would create the a function would be to replace it with any number but 3.

(3,5) (2, 4) (9, 0) (3,6)

Any number apart from 3 can be used to replace the ? to create a function.

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The correct calculation to determine Jasper's net worth based on the given information would be: C. $15,800 - $4,400 = $11,400

Net worth is a measure of an individual's financial position and represents the difference between their total assets and total liabilities.

In this case, Jasper's balance sheet states that his total assets are $15,800 and his total liabilities are $4,400.

To calculate Jasper's net worth, we subtract the total liabilities from the total assets:

$15,800 - $4,400 = $11,400

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Therefore, using simple exponential smoothing with a = 0.75, the forecast for water pump sales for February through May are:- February: 26.5 units,  March: 37.63 units, April: 72.66 units.

To use simple exponential smoothing with a = 0.75, we first need to calculate the forecast for January:
F1 = 25 (given)
Next, we calculate the forecast for February using the formula:
F2 = a * Y1 + (1 - a) * F1
F2 = 0.75 * 28 + 0.25 * 25
F2 = 26.5 (rounded to one decimal place)
We repeat this process for each month, using the previous month's forecast and the actual sales data for the current month. The results are as follows:
Month      Actual Sales    Forecast
-------------------------------------
January           28          25
February          72          26.5
March             98          37.63
April            126          72.66
- May: 101.17 units
Hi, I'd be happy to help you with your question. To use simple exponential smoothing with a smoothing constant α = 0.75 to forecast the water pump sales for February through May, given that the forecast for January was 25 units, follow these steps:
Step 1: Start with the given forecast for January, which is 25 units.
Step 2: Calculate the forecast for February using the formula:
Forecast_February = α * (Actual_January) + (1 - α) * Forecast_January
Step 3: Calculate the forecast for March using the formula:
Forecast_March = α * (Actual_February) + (1 - α) * Forecast_February
Step 4: Calculate the forecast for April using the formula:
Forecast_April = α * (Actual_March) + (1 - α) * Forecast_March
Step 5: Calculate the forecast for May using the formula:
Forecast_May = α * (Actual_April) + (1 - α) * Forecast_April
Please note that you have provided sales data for air-conditioning sales, but the question is about water pump sales. If you meant to ask about air-conditioning sales, you can use the given sales data to calculate the forecasts for February through May. If you need help with water pump sales, please provide the correct sales data for January through April, and I will gladly help you with the calculations.

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Given the following System of Equations:

You can solve it with Cramer's Rule. The steps are shown below:

1. By definition, you know that for "x"

In this case:

Then, you can substitute values and evaluating, you get that the value of "x" is:

2. By definition, for "y":

Knowing the values, substitute and evaluate:

Therefore, the answer is:

The angle measures in this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of:

180º.

The internal angles of isosceles triangle ABC are given as follows:

Hence the value of y is obtained as follows, applying the sum of the internal angles of the triangle.

2y + 2 x 47 = 180

2y = 180 - 94

y = (180 - 94)/2

y = 43º.

The bisection forms a right angle, hence the value of x is given as follows:

x = 90º.

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Decidable languages are those for which there exists an algorithm that can determine whether any given input string belongs to the language or not. Turing-recognizable languages, on the other hand, are those for which there exists a Turing machine that can recognize any string belonging to the language, but may not halt on inputs that do not belong to the language.

The set of decidable languages is closed under subtraction, meaning that if L1 and L2 are decidable languages, then L1 - L2 (the set of strings that belong to L1 but not L2) is also decidable. This is because we can construct a Turing machine that first checks if an input string belongs to L2, and if it does not, then checks if it belongs to L1. If it does, then the machine accepts, otherwise it rejects.The set of Turing-recognizable languages is not closed under subtraction, meaning that there may exist some Turing-recognizable languages L1 and L2 for which L1 - L2 is not Turing-recognizable. This is because there may not exist a Turing machine that can recognize when an input string belongs to L1 - L2 without also being able to recognize some strings that do not belong to L1 - L2.

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Decidable languages are those for which there exists an algorithm that can determine whether any given input string belongs to the language or not. Turing-recognizable languages, on the other hand, are those for which there exists a Turing machine that can recognize any string belonging to the language, but may not halt on inputs that do not belong to the language.

The set of decidable languages is closed under subtraction, meaning that if L1 and L2 are decidable languages, then L1 - L2 (the set of strings that belong to L1 but not L2) is also decidable. This is because we can construct a Turing machine that first checks if an input string belongs to L2, and if it does not, then checks if it belongs to L1. If it does, then the machine accepts, otherwise it rejects.The set of Turing-recognizable languages is not closed under subtraction, meaning that there may exist some Turing-recognizable languages L1 and L2 for which L1 - L2 is not Turing-recognizable. This is because there may not exist a Turing machine that can recognize when an input string belongs to L1 - L2 without also being able to recognize some strings that do not belong to L1 - L2.

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Full Question ;

Are the decidable and Turing-recognizable languages closed under subtraction?

Answer:

12/7

Step-by-step explanation:

6-4 2/7 =

42/7 - 30/7 =

12/7

The probability that a student enrolled in algebra is also enrolled in health is 0.8.

Let's denote the event of a student being enrolled in algebra as A and the event of a student being enrolled in health as H. We are given that 25% of the students are enrolled in algebra (P(A) = 0.25) and 20% of the students are enrolled in both algebra and health (P(A ∩ H) = 0.20).

We want to find P(H|A), the probability that a student is enrolled in health given that the student is enrolled in algebra.

Using the conditional probability formula:

P(H|A) = P(A ∩ H) / P(A)

We substitute the given values:

P(H|A) = 0.20 / 0.25

Simplifying this expression:

P(H|A) = 0.80

Therefore, the probability that a student enrolled in algebra is also enrolled in health is 0.80, or 80%.

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Yes, it is possible to have a function f defined on [2, 3] that meets the given conditions. To satisfy the condition of not being continuous on [2, 3], we can create a function with a removable discontinuity at a specific point.

One way to achieve this is by defining f(x) as a piecewise function. We can let f(x) be equal to a constant value c for x in [2, a) and [a, 3], where a is a value between 2 and 3. This will create a hole in the graph of the function at x = a, resulting in a removable discontinuity.

To ensure that f takes on both a maximum and minimum value, we can choose different constant values for f(x) in the intervals [2, a) and [a, 3]. For example, we can let f(x) be a high value like 100 in [2, a) and a low value like -100 in [a, 3]. This way, f(x) will have a maximum value of 100 and a minimum value of -100.

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Answer:

pretty sure it is 4y+2x<_-1

Answer:

C

Step-by-step explanation:

y-2x>-5 : (2,-3) is not a solution to this equation

y> -2x+2 : (2,-3) is not a solution to this equation

4y+2x< -1 : (2,-3) is a solution to this equation

Answer:

x = 173

Step-by-step explanation:

Equation:

40 + 76 + 71 + x = 360

187 + x = 360

take away 187 from both sides

x = 173

Answer:

I'm pretty sure its 6

Step-by-step explanation:

14-8 is equal to 6 so I'm pretty sure it would be six.

Answer:

Step-by-step explanation:

we do first the multiplication 3*6=18

-2+18=16

16/5 is your answer or 3.2

The sets of line segments that will form a triangle are B (5, 8, 12) and D (6, 7, 14).

To determine which set of line segments will form a triangle, we can apply the Triangle Inequality Theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's examine each set of line segments:

A. 4, 6, 10

The sum of the lengths of the first two sides is 4 + 6 = 10, which is equal to the length of the third side. According to the Triangle Inequality Theorem, the sum of the lengths of any two sides must be greater than the length of the third side. Since the lengths are equal in this case, it does not satisfy the inequality. Therefore, this set of line segments (4, 6, 10) will not form a triangle.

B. 5, 8, 12

The sum of the lengths of the first two sides is 5 + 8 = 13, which is greater than the length of the third side (12). This set of line segments satisfies the Triangle Inequality Theorem because the sum of the lengths of any two sides is greater than the length of the third side. Therefore, this set of line segments (5, 8, 12) will form a triangle.

C. 2, 7, 10

The sum of the lengths of the first two sides is 2 + 7 = 9, which is less than the length of the third side (10). This set of line segments does not satisfy the Triangle Inequality Theorem because the sum of the lengths of any two sides must be greater than the length of the third side. Therefore, this set of line segments (2, 7, 10) will not form a triangle.

D. 6, 7, 14

The sum of the lengths of the first two sides is 6 + 7 = 13, which is greater than the length of the third side (14). This set of line segments satisfies the Triangle Inequality Theorem because the sum of the lengths of any two sides is greater than the length of the third side. Therefore, this set of line segments (6, 7, 14) will form a triangle.

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Answer:

This means sonya moves 3 units backward 4 times

Step-by-step explanation:

4(-3) ;

4 represents the number of times a (-3) movement is executed.

-3 means a backward movement due to the presence of negative sign.

Hence, we can conclude that Sonya moves 3 units backward 4 times or can infer a direct multiplication of 4(-3) = - 12 ;

A backward movement of - 12 units.