Which of the following equations shows how substitution can be used to solve the following system of equations?
3y - x = 5
2x + 5y = 12

A.) 2x + 5y = 3y – x

B.) 2(3y – 5) +5y = 12

C.) 2x + 5(3y – x) = 12

D.) 9xy = 17

Answer:

To solve this system of equations, we need to find the x-values where the two equations intersect on a graph.

The first equation, y = x + 2, has a y-intercept of 2 and a slope of 1. This means that for every increase of 1 in x, y increases by 1. We can plot this line on a coordinate plane by plotting the y-intercept at (0, 2) and then using the slope to find another point, such as (1, 3), and drawing a line through those two points.

The second equation, y = 2x + 1, has a y-intercept of 1 and a slope of 2. This means that for every increase of 1 in x, y increases by 2. We can plot this line on the same coordinate plane by plotting the y-intercept at (0, 1) and then using the slope to find another point, such as (1, 3), and drawing a line through those two points.

Now we can see where the two lines intersect on the graph. This occurs at the point (−1,1). Therefore, the first answer choice, "x = -1 and x = 2," is not correct.

The second answer choice, "x = 1 and x = 2," is also not correct, as we can see from the graph that the two lines do not intersect at x = 1.

The third answer choice, "x = 0 and x = 1," is also not correct, as we can see from the graph that the two lines do not intersect at x = 0.

The only remaining answer choice is "x = -2 and x = -3," and we can see from the graph that the two lines do intersect at x = -2. Therefore, the correct answer is "x = -2 and x = -3."

Graph 3 correctly identifies the linear equation x + 4y + 2z = 8.

A graph (discrete mathematics) embedded in a three-dimensional space is one example of a three-dimensional graph. The two-variable function's graph in a three-dimensional environment

The given linear equation is x + 4y + 2z = 8.

The graph that represents this equation needs to have coordinates that satisfy the equation.

From the given graph, graph 3 has the coordinates (0, 0, 4), (8, 0, 0), and (0, 2, 0).

Substituting the coordinates in the equation we have:

0 + 4(0) + 2(4) = 8 = 8 True.

8 + 4(0) + 2(0) = 8 = 8 True.

0 + 4(2) + 2(0) = 8 = 8 True.

Hence, graph 3 correctly identifies the linear equation x + 4y + 2z = 8.

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Answer:

I hope this help

Step-by-step explanation:

I hope this help

Step-by-step explanation:

HOPE IT HELPS

HAVE A NICEE DAY

Answer:

150

Step-by-step explanation:

1:30=5:x

5*30=150

5:150=1:30

The solutions of the quadratic equation are:

x = 7/4

x = -1/4

Here we have the quadratic equation:

2x^2 - 3x = 1

Remember that the general quadratic equation:

a*x^2 + b*x + c = 0

Has the solutions:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)

Then our quadratic equation:

2x^2 - 3x = 1

2x^2- 3x - 1 = 0

The solutions are:

\(x = \frac{3 \pm \sqrt{(-3)^2 - 4*2*-1} }{2*2}\\\\x = \frac{3 \pm 4}{4}\)

So the two solutions are:

x = (3 + 4)/4 = 7/4

x = (3 - 4)/4 = -1/4

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x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.

What is the equation straight line?

The given equation Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation of the line is y = 4x+5

So the y-intercept is (x=0)

y = 5

And the x-intercept is (y=0)

4x +5 =0

x = -5/4

Hence, the x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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y= -2x-2

Step-by-step explanation:

slope = -2 the slope intercept form is y-2= -2(x+2)

y= -2x-2

Answer:

⅑

Step-by-step explanation:

Let m represents number of males, and f represents number of females taking the maths course.

Given that number of males (m) taking the maths course is 8 times as much as number of females (f), total number of students taking the maths course (T).

Thus we can represent the information above with the following:

m = no. of males

f = no. of females

T = Total

m = 8f

T = m + f

Thus,

Total = 8f + f = 9f

==>The fraction of the course that are females = No. of females (f) ÷ Total no. of students (T)

= f/9f

Fraction of females in simplified form would be ⅑

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

\(\frac{1}{2 }\) - \(\frac{1}{4}\)

\(\frac{2}{4}\) - \(\frac{1}{4}\) = \(\frac{1}{4}\)

\(\frac{1}{2}\) x \(\frac{2}{2}\) = \(\frac{2}{4}\)

54 cents cost for 9 inches of wire.

Cost rate is the amount that a worker costs the business. For instance, Zack bills $100 per hour and makes $25 per hour in costs. In other words, the corporation pays him $25 for every hour he bills. The profitability of your workers, projects, and employment is determined by cost rates.

The smallest unit of length is the inch (plural: inches). One foot is made up of 12 inches. An inch is equivalent to 2.54 cm in the metric system. For shorter measurements like measuring a pencil's length or an eraser's breadth, inches are utilized.

Wire measuring 16 inches costs 96 cents,

thus the price is 96/16 = 6 cents.

6cents is the cost per inch of wire

so for 9inch the cost will be

9*6 = 54cents will be the cost of 9inch of wire

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The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

I can provide you with a sample response to help you structure your job search plan. Please note that this is a general example, and you should tailor your plan to your specific circumstances and career goals.

Job Search Plan:

1. Researching the job market:

  - Use online job boards, company websites, and professional networking platforms to explore current job openings and industry trends.

  - Read industry publications, news articles, and reports to gain insights into the job market's demands and growth areas.

  - Engage with professionals in your field through informational interviews or networking events to gather firsthand knowledge about job opportunities.

2. Targeted Companies:

  - Identify companies that align with your career goals and values by researching their organizational culture, mission, and values.

  - Consider factors such as company size, location, industry reputation, and growth potential.

  - Select three to five companies that you find most appealing and would like to target for potential employment.

3. Highlighted Skills and Qualities:

  - Identify the key skills and qualities that are most relevant and desirable for the positions you are targeting.

  - Highlight these skills and qualities in your resume, cover letter, and other job search materials.

  - Ensure that your job search materials, including your resume, cover letter, and reference list, are updated, tailored, and aligned with the positions you are pursuing.

4. Leveraging LinkedIn:

  - Optimize your LinkedIn profile to showcase your skills, experience, and achievements.

  - Connect with professionals in your industry, join relevant groups, and actively engage in discussions.

  - Utilize LinkedIn's job search feature to find relevant job openings and reach out to recruiters or hiring managers.

5. Leveraging the Northeastern Network:

  - Tap into Northeastern University's alumni network through networking events, online platforms, or career fairs.

  - Seek advice and mentorship from alumni who work in your desired field or target companies.

  - Utilize Northeastern's career services, including resume reviews, mock interviews, and job search resources.

6. Relevant Professional Associations or Groups:

  - Identify and join professional associations or groups in your field to expand your network and stay updated on industry trends.

  - Attend conferences, seminars, or workshops organized by these associations to enhance your knowledge and connect with industry professionals.

7. Tools and Resources at Northeastern:

  - Leverage the resources provided by Northeastern, such as career counseling, job databases, and alumni connections.

  - Utilize the university's online platforms and career-related workshops or events.

8. Reasonable Timeline and Key Milestones:

  - Define a timeline that includes key milestones such as updating job search materials, conducting research, and submitting applications.

  - Set realistic goals for the number of applications you aim to submit each week or month.

  - Allow time for networking, attending events, and refining your job search strategy.

Remember, a job search plan should be adaptable and tailored to your specific needs and goals. Regularly assess and adjust your approach based on the feedback and results you receive during your job search journey.

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(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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Answer:

Step-by-step explanation:

Given:

base =18 cm

height= 5cm

area of a triangle= base × height

2

=18cm× 5cm

2

= 90cm2

2

=45cm2

Answer:

72

Step-by-step explanation:

Answer:

28 + 44 = 4(7 + 11)

Step-by-step explanation:

We need to understand that the material needed to build a claw machine can varies depending on the design and size of the machine. Typically, it requires metal framing, motors, gears, electronic components, and a claw mechanism with a control system.

Building a claw machine requires a variety of materials, such as metal framing, motors, gears, electronic components, and a claw mechanism with a control system. The exact amount of each material needed will depend on the size and design of the machine, as well as the complexity of its functionality.

For example, a small-scale, DIY claw machine may require only a few basic materials and components, while a larger, commercial-grade machine may require a more extensive range of materials and components to ensure stability, durability, and performance.

Note: The question is incomplete, hence, a general idea of claw machine is provided'

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The area of the circle with a diameter having endpoints at (2,5) and (10,5) on a coordinate plane is 16π square units.

The midpoint of the line segment connecting the endpoints of the diameter is the center of the circle.

The distance from the center of the circle to the endpoints of the diameter is the radius of the circle.

The diameter of the circle in this problem is AB, which has endpoints (2,5) and (10,5).

We know that this diameter is a horizontal line because both endpoints have the same y-coordinate of 5.

The midpoint of AB will also have a y-coordinate of 5 since it lies on the horizontal line containing AB. The x-coordinate of the midpoint is the average of the x-coordinates of A and B.  

It is easy to find the distance between the endpoints of the diameter, so the radius can also be found as follows:

r = AB/2 = 8/2 = 4

Therefore, the area of the circle is 16 π square units.

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The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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Answer:

7.21 (7.211103 exact)

Step-by-step explanation:

In this question, we have to find the distance of the two points.

To do so, we would use this equation: d = √(x2-x1)² + (y2-y1)²

Plug in your coordinates and solve:

d = √(4+2)² + (7-3)²

d = √(6)² + (4)²

d = √36 + 16

d = √52

Now, get the square root of 52:

d = 7.211103

The distance of each coordinate would be around 7.21

Answer:

B. (x+8)(x+4)

Step-by-step explanation:

\( {x}^{2} + 12x + 32 \\ = {x}^{2} + 8x + 4x + 32 \\ = x(x + 8) + 4(x + 8) \\ \red { \bold{ = (x + 8)(x + 4) }}\)

The answers will be:

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

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1.    (4,5)

2.    remain constant and increase

3.    g(x) exceeds the value of f(x)

4.     eventually

Step-by-step explanation:

Answer:

y = 5.5x - 17

Explanation:

we need to things to do this, the slope and the equation of a line

slope = change in y/ change in x

change in y = (-6 - 5) = -11

change in x = (2 - 4) = -2

-11/-2 = 5.5

y = 5.5x + b

plug in a point

-6 = 5.5(2) + b

b = -17

y = 5.5x - 17

hope this helps <3

Answer:

----------------------------------

Given:

Perimeter is:

or

The perimeter is at most 96 cm (not greater than):

The matching choice is A.

The percentage of the sheets with no air bubbles is given as follows:

13.53%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 2\)

The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:

P(X = 0) = e^-2 = 0.1353 = 13.53%.

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to get 100 percent correct do write in goo   gle or ch  rome calcula, or soup and write        h       the name of the image you have it shows you step by step hope it helps

Step-by-step explanation:

that there is no total computable function f(x, y) with the given property.

To prove this, we can assume that such a function f(x, y) exists and use it to show that the Halting problem is decidable. The Halting problem is the problem of determining whether a given program will halt or run forever on a given input. It is known to be undecidable, meaning that there is no algorithm that can solve it for all cases.

However, if we have a function f(x, y) that can tell us in how many steps a program will halt (or that it will not halt), then we can use it to decide the Halting problem. Given a program P and input I, we can construct a new program P.(Cy) that simulates P on I and counts the number of steps it takes for P to halt (or runs forever). Then, we can use f(P.(Cy), y) to determine whether P halts on I or runs forever. If f(P.(Cy), y) returns a number less than or equal to the number of steps that P actually takes to halt on I, then we know that P halts on I. Otherwise, we know that P runs forever on I.

Since the Halting problem is undecidable, we cannot have a function f(x, y) that solves it in the given way. Therefore, there is no total computable function f(x, y) with the property that if P.(Cy) stops, then it does so in f(x, y) or fewer steps.

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Answer: Multiply the centimeters number by 10.

Step-by-step explanation: There are 10 millimeters in every centimeter.