Solve the system of equations by the addition method.
-3+y=15
-4-y=-1


A.
The solution is
nothing. ​(Simplify your answer. Type an ordered​ pair.)
B.
There are infinitely many solutions.
C.
There is no solution

Answer:

\(\huge\boxed{3x+y=23}\)

Step-by-step explanation:

First off, let's note that when given a slope and a point, we will write our equation in the form \(ax+by=c\), where a is the slope and c is the y-intercept.

Since we know the slope, but not the y-intercept, we can start to fill in what we already know.

\(3x+y=c\)

Therefore to finish this equation, we must find the y-intercept.

Since we know that the point (7, 2) runs through this line, we can plug it into our formula (\(3x+y=c\)) to find the y-intercept, b.

2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.

This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation (\(3x+y=c\)) as b and finish up the equation for the line.

\(3x+y=23\)

Hope this helped!

The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.

Let x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.

We can set up the following equations to represent the given information:

180x + 230y + 160z = 2660 (hotel bills)

110x + 120y + 90z = 1520 (meal expenses)

x = y + z (he spent as many days in London as he did in Paris and Rome combined)

We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:

180x + 230y + 160z = 2660

110x + 120y + 90z = 1520

-180y - 180z + 180x = 0

Adding the first and third equations gives us:

360x + 50y - 20z = 2660

Adding the second and third equations gives us: 290x - 60y - 90z = 1520

We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:

1080x + 150y - 60z = 7980

-1450x + 300y + 450z = 7600

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

1630x - 150y - 510z = 380

Solving for x gives us:

x = (150y + 510z + 380) / 1630

Substituting this back into the third equation gives us:

y + z - (150y + 510z + 380) / 1630 = 0

Multiplying by 1630 and rearranging gives us:

1480y + 490z = 380

We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:

490(360x + 50y - 20z) = 490(2660)

50(290x - 60y - 90z) = 50(1520)

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

19600x + 24500y - 9800z = 1303400

-14500x + 3000y + 4500z = 76000 --------------------------------------------------

4100x - 21500y - 14300z = 1227400

Solving for y gives us:

y = (4100x + 14300z - 1227400) / 21500

Substituting this back into the equation 1480y + 490z = 380 gives us:

1480(4100x + 14300z - 1227400) / 21500 + 490z = 380

Multiplying by 21500 and rearranging gives us:

606800x + 2054200z - 1817320000 = 0

Solving for z gives us:

z = (1817320000 - 606800x) / 2054200

Substituting this back into the equation x = y + z gives us:

x = y + (1817320000 - 606800x) / 2054200

Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0

Using the quadratic formula, we can find the value of x:

x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)

Plugging in the value of y from earlier gives us:

x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)

Simplifying and solving for x gives us:

x = 10

Substituting this back into the equation x = y + z gives us:

10 = y + z

Substituting this back into the equation 1480y + 490z = 380 gives us:

1480y + 490(10 - y) = 380

Solving for y gives us:

y = 6

Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z

Solving for z gives us:

z = 4

Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.

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Answer:

the area of face of washer is 22cm sq

A record's key field is the field whose contents make the record unique among all records in a file.

In computer science and database management, a record's key field, also known as a primary key, is a unique identifier that is used to distinguish one record from another in a database. A key field can be a single field or a combination of fields that uniquely identify a record.

For example, in a database of employee records, the social security number or employee ID number may be used as the key field to identify each employee record. This key field must be unique for each record in the database, and it is typically indexed to allow for faster searching and sorting of records.

The key field plays a crucial role in ensuring data integrity and consistency in a database. It is used to enforce data constraints and relationships between tables, and it is often used as a reference by other tables in a database.

In summary, a record's key field is an important component of a database that uniquely identifies each record and allows for efficient management and organization of data.

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The necklaces will be sold for $8.75.

All you have to do is devide 201.25 by 23 and you will get your answer.

The equation of the line parallel to the given line is y + 4x = 22

The given line is y= -4x+1

Slope of the line = -4

Slope of the parallel line= -4

Equation of the line parallel to the given line which passes through C(6,4)

y - 6 = - 4 ( x - 4 )

y - 6 = -4x + 16

y + 4x = 22

Hence the equation of the parallel line is y + 4x = 22

One that stretches on all sides and has no width is referred to in geometry as a line. A straight line is, to put it simply, a line without bends. An non-curved line that extends to infinity on both sides is said to be straight.

The general equation for a straight line is y = mx + c, where m stands for the line's slope and c for its y-intercept. The most frequently used straight line equation is one that has to do with geometry.

The equation of a straight line can be written in a number of different ways, such as point-slope form, slope-intercept form, general form, standard form, etc.

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The parameter of interest in this study is the population mean estimation of Milwaukee based on the anchoring effect.

The alternative hypothesis (Ha) would state that there is an anchoring effect, and the mean population estimations are influenced by the information provided about other cities.

To assess the validity of the t-test, we need to check the following conditions: 1) Random sampling

b. The null hypothesis (H0) would state that there is no anchoring effect and the mean population estimations are not affected by the information given about other cities.

c. Ensure that the students' selection was random. 2) Independence: Confirm that the estimations of one student do not affect the estimations of other students. 3) Nearly normal population distribution: Assume that the population of estimations is approximately normally distributed or use a sufficiently large sample size.

d. Conducting the t-test with appropriate software will provide the test statistic and p-value necessary for hypothesis testing.

e. Based on the obtained p-value, we can draw a conclusion. If the p-value is less than the significance level (e.g., 0.05), we reject the null hypothesis and conclude that there is strong evidence supporting the anchoring phenomenon. If the p-value is greater than the significance level, we fail to reject the null hypothesis.

f. Using a theory-based approach, we can construct a 95% confidence interval for the population mean estimation. This interval will provide a range of plausible values for the parameter of interest.

g. It is important to note that this study demonstrates an association between the anchoring effect and population estimations, but it does not establish causation. Additionally, generalization should be considered carefully, as the study was conducted on a specific group of students and may not be representative of the entire population.

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The equation representing the volume of a stall in terms of its width is x^2 + x. It is not possible for the width of a stall to be 10 feet and have a volume of 1,080 cubic feet.

To represent the volume of a stall in terms of its width of x feet, we can use the given information that the length of each stall is 2 feet longer than its width. Let's denote the width as x feet.

Given that the length is 2 feet longer than the width, the length would be (x + 2) feet. The height is fixed at 9 feet.

The volume of the stall can be calculated using the formula V = l · w · h, where V is the volume, l is the length, w is the width, and h is the height.

Plugging in the values, we have:

V = (x + 2) · x · 9

Simplifying this expression, we get:

V = 9x^2 + 18x

Now, we have the equation that represents the volume of a stall in terms of its width.

The equation is: x^2 + x = 1080

To check if it is possible for the width of a stall to be 10 feet, we substitute x = 10 into the equation:

10^2 + 10 = 1080

100 + 10 = 1080

110 = 1080

Since 110 is not equal to 1080, it is not possible for the width of a stall to be 10 feet in order to achieve a volume of 1080 cubic feet.

Note: The complete question is:

Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet high and have a volume of 1,080 cubic feet. The length of each stall should be 2 feet longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that represents the volume of a stall in terms of its width of x feet. x2 + x = Is it possible for the width of a stall to be 10 feet?

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If the chi square value of a dihybrid analysis is 0.47 , and degree of freedom in analysis were 3 , then the null hypothesis will not be rejected because 0.47 < 7.815  .

To determine whether to reject or accept the Null Hypothesis, a critical value of chi-square with a given level of significance is used.

If the calculated chi-square value is greater than the critical value, then the null hypothesis is rejected. and

If the calculated chi-square value is less than or equal to the critical value, then the null hypothesis is not rejected.

The critical value of chi-square for a level of significance and degrees of freedom can be found using a chi-square distribution table.

With a level of significance of 0.05 and 3 degrees of freedom, the critical value of chi-square is 7.815.

that means ⇒ 0.47 < 7.815, the null hypothesis would not be rejected at a level of significance of 0.05    .

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Answer:

It is the quantities are equal

Step-by-step explanation:

>.<

Answer: ☁️ m = 2/3 ☁️

Hope it helps!~

Explanation: Have a nice day. ￣▽￣❤️

your answer is 7/3 its gonna be 7/3

When you multiply bothsides of an inequality by a negative sign , the inequality sign changes

Answer: Th derivative is: \(\(f'(1) = 5\), \(f'(2) = 7\), and \(f'(3) = 9\).\)

To find \(\(f'(x)\)\), the derivative of \(\(f(x) = x^2 + 3x - 6\)\), we can use the four-step process:

Step 1: Identify the function and its variable.

\(Function: \(f(x) = x^2 + 3x - 6\)Variable: \(x\)\)

Step 2: Apply the power rule.

The power rule states that the derivative of\(\(x^n\) is \(nx^{n-1}\).\(f'(x) = 2x^{2-1} + 3x^{1-1} - 0\)\)

Step 3: Simplify the expression.

\(\(f'(x) = 2x + 3\)\)

Step 4: Evaluate \(\(f'(x)\)\) at specific values.

To find\(\(f'(1)\), \(f'(2)\), and \(f'(3)\),\)substitute the respective values of \(\(x\)\) into the derived expression.

\(\(f'(1) = 2(1) + 3 = 2 + 3 = 5\)\(f'(2) = 2(2) + 3 = 4 + 3 = 7\)\(f'(3) = 2(3) + 3 = 6 + 3 = 9\)\)

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2 x 10-7  is the probability of drawing a T, replacing it, then drawing a C.

What is Probability?

Probability is simply the chance that something will happen. Whenever the outcome of an event is uncertain, we can speak of the probability, or likelihood, of a particular outcome. Analyzing events according to their probabilities is called statistics. 

There are 11 letters in MATHEMATICS which consist of 2 each of M, A and T and 1 each of H, E, I, C and S.  

P(M on 1st choice) = 2/11   since there are 2 M's out of 11 letters

P(A on 2nd choice) = 2/10   since there are 2 A's out of 10 remaining letters

P(T on 3rd choice) = 2/9     since there are 2 T's out of 9 remaining letters

At this point there are 8 letters remaining which are all distinct so they must be chosen in the correct order

P(H on 4th choice) = 1/8

P(E on 5th choice) = 1/7

P(M on 6th choice) = 1/6

P(A on 7th choice) = 1/5

P(T on 8th choice) = 1/4

P(I on 9th choice) = 1/3

P(C on 10th choice) = 1/2

P(S on 11th choice) = 1/1  

The probability of spelling the word correctly is the product of all the probabilities

P = 2*2*2 / 11! = 8 / 39916800 = 1 / 4989600 ~ 2 x 10-7

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The set of inequalities that expresses the given relationships are -6 < -2 and -2 > -4. The correction is second option -6 < -2 and -2 > -4

From the question, we are to determine the set of inequalities that expresses the relationships

From the given information,

The given relationships are:

A score of -6 is lower than a score of -2. A score of -2 is higher than a score of -4.

First, we will write the first relationship as an inequality

A score of -6 is lower than a score of -2

This means that -6 is less than -2.

Using inequalities symbols, we can write that

-6 < -2

Now,

For the second relationship :

A score of -2 is higher than a score of -4

This means, -2 is greater than -4

Using inequalities symbols, we can write that

-2 > -4

Hence,

The inequalities that express the relationships are -6 < -2 and -2 > -4

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Answer:

The positive difference in the 'y' coordinates of where they agreed to meet and where they should actually meet is 4

Step-by-step explanation:

The segement they form is, using the distance formula,

\(d=\sqrt{((x1-x2)^2+(y1-y2)^2)}\)

but since we only need to find the y coordinates,

we do not need it in this case

now ,

in our case, x1 = 5, y1 = -11

x2=-7, y2=13

so,

y1-y2 is the total y difference for the first points,

so d1=-11-13

d1 = -24

but since distance is positive,so,

d1 = 24

and the midpoint of that would be m= d/2,

m1 = 12

if Barbara is at (-5,5), then the distance will be,

since then, x2=-5,y2=5,

d2 = -11-5

d2=-16

or,

d2 = 16

and

m2 = 16/2

m2 = 8

so the positive difference in the 'y' coordinates of where they agreed to meet and where they should actually meet is,

diff = 12-8

diff = 4

so the difference in y coordinates is 4

Answer:

\(x \geq 255\)

Step-by-step explanation:

The options are not visible; however the question can still be solved

Given

Least Value = $255

Required

Determine the inequality

When the phrase "at least" is used, the its direct representation is the mathematical symbol \(\geq\)

So: At least 255 means

\(\geq 255\)

Representing the values with variable x, the complete inequality becomes

\(x \geq 255\)

Answer:

B =116°

D = 116°

Step-by-step explanation:

one set of opposite angles of a kite equal

I’m not sure but I hope this helps

Answer:

48 ft2

Step-by-step explanation:

area- 1/2 b*h-

1/2*8*12-

4*12-

48

Answer:C

Step-by-step explanation: 100 x 23/100=23

The solution set to the given inequality is

(-∞, -4) U (2,∞)

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

5(x – 2)(x + 4) > 0

First we solve for x, we replace the inequality sign by = sign

5(x – 2)(x + 4) = 0

Divide both sides by 5

(x – 2)(x + 4) = 0

Now we set each factor =0  and solve for x

x-2 =0 , so x= 2

x+4 =0, so x= -4

Now we use number line and make three intervals

First interval -infinity to -4

second interval -4 to 2

third interval 2 to infinity

Now we check each interval with our inequality

First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5

5(-5 – 2)(-5 + 4) > 0

35>0 is true

second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0

5(0– 2)(0 + 4) > 0

-40>0 is false

Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3

5(3 – 2)(3 + 4) > 0

35>0 is true

solution set are the intervals that make the inequalities true

(-∞, -4) U (2,∞)

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Question:

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

The probability of the arrow landing on section a is 1/5 since there are 5 equal sections. The probability of the coin landing on heads is 1/2 since there are only 2 possible outcomes (heads or tails) for the coin.

To find the probability of both events happening, we need to multiply the probability of the arrow landing on section a by the probability of the coin landing on heads. This gives us (1/5) * (1/2) = 1/10. So the probability that the arrow will land on the section labeled a and the coin will land on heads is 1/10. In other words, there is a 1 in 10 chance of both events happening. It is important to note that each event is independent of each other, meaning the outcome of one does not affect the other. This is because the spinner and the coin are not connected or related in any way.

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The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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Answer:

This is amazing and funny but I would rather not give a stranger my phone number but i would if I wasnt such protective

Step-by-step explanation:

Answer:

cool

Step -by-step explanation:

brain list me please

The distribution of weights of 9-ounce bags of a particular brand of potato chips is approximately normal with a mean (μ) of 9.12 ounces and a standard deviation (σ) of 0.05 ounce

To sketch the distribution, start by drawing a horizontal axis. Label the mean (9.12) at the center of the axis

Then, mark the points 1 standard deviation away from the mean by subtracting and adding the standard deviation (0.05) from the mean. These points would be 9.07 and 9.17 ounces, respectively.

Similarly, mark the points 2 standard deviations away from the mean, which would be 9.02 and 9.22 ounces.

Finally, mark the points 3 standard deviations away from the mean, which would be 8.97 and 9.27 ounces.

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Answer:

Step-by-step explanation:

P/6

Answer:

$312.05 is deducted from William's weekly wages