What value does each equation need to be multiplied by in order to eliminate the y-terms?

Equation 1: 6x − 5y = -4
Equation 2: 4x + 2y = 28

Please Help, I don't get it

Answers

Answer 1

Equation 1 needs to be multiplied with + 2

Equation 2 needs to be multiplied with  + 5.

Step-by-step explanation:

Here, the given system of equation is given as:

Equation 1 : 6 x − 5 y = -4

Equation 2: 4 x + 2 y = 28

Here, in equation 1, the coefficient of y  = - 5

Also, in the equation 2, the coefficient of  y = + 2

Now, in order to eliminate the y coefficients,

Coefficient  of y in  1  =   -  Coefficient of y in  2

Now, to make -5 and  + 2 to eliminate each other,

Multiply -5 with 2, we get            -5 x 2  = -10

And Multiply the coefficient + 2 with 5, we get   +2 x 5  = + 10

The new coefficient of y is equation 1 = - 10 y

The new coefficient of y in equation 2  = + 10 y

They will cancel out each other, when both equations are ADDED.

Hence, equation 1 needs to be multiplied with + 2

and the equation 2 needs to be multiplied with  + 5.


Related Questions

I WILL OPEN MY ALT AND COMENT AND GIVE YOU A BRINLIST OPEN IF YOU SHOWED YOUR WORK!!! OPEN THE IMAGE

Answers

The equation that doesn't belong is (c) 12(p + 8) = 3(20 - 2p)

How to determine the equation that does not belong?

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

Options A to D

Looking through the options, we can see that:

The equations represented in the options are linear equationsSome variables are enclosed in brackets, while some are not

However, three of the equations have their variables on one side

While the last has its variable on both sides

Hence, the one that does not belong is (c) 12(p + 8) = 3(20 - 2p)

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consider a family with three children in which both parents are carriers for cystic fibrosis. what is the probability that they will have exactly one affected child?

Answers

The probability that they will have exactly one affected child is 9/64.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

Probability of affecting for 1 child = 3/4  = q

Probability of not affecting on 1 child =p=1/4

Formula:

P( exactly one affected child )

= [tex]^{3}C_{1}[/tex] * * (1/4)² * (3/4) = 9/64

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Solve 6-5x/10 2x+1/5 +x/3=2x/15

Answers

Hope this helps you

1 1/6 + 1/6 what it the answer to the problem i showed

Answers

Answer:

1 1/3 or 4/3

Step-by-step explanation:

1/6 + 1/6 = 2/6

simplified, it would be 1/3 then you add the one, and you get 1 1/3 or (written as a mixed number,) 4/3

Answer:

2

Step-by-step explanation:

Since the denominator is the same, we can add the numerators.

11/6  +  1/6  =  12/6

We can simplify this to 2.

So, the answer is 2.

the state of california has a mean annual rainfall of 22 inches, whereas the state of new york has a mean annual rainfall of 42 inches. assume that the standard deviation for both states is 8 inches. a sample of 30 years of rainfall for california and a sample of 45 years of rainfall for new york has been taken. if required, round your answer to three decimal places. (a) calculate the sampling error of the sample mean annual rainfall for california.

Answers

Sample error is ±2.9872 from the sample mean of 22 inch and standard deviation of 8 inch and sample size of 30 inch.

What is sample error?

An analyst makes a statistical error known as a sampling error when they choose a sample that does not accurately represent the complete population of data. As a result, the sample's findings do not accurately reflect the findings from the total population.

Here,

mean=22 inch

standard deviation=8 inch

sample size=30 inch

degree of freedom=29 inch

The sampling error is calculated by dividing the standard deviation of the population by the square root of the size of the sample, and then multiplying the resultant with the Z-score value, which is based on the confidence interval.

By using this,

sampling error=±2.9872 inch

With a sample mean of 22 inches, a standard deviation of 8 inches, and a sample size of 30 inches, the sample error is 2.9872 inches.

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an instructor flips a coin and divides her class into two groups: those who got heads and those who got tails. by doing this, the instructor has created

Answers

Dividing the class by using Coin flip , The instructor has created minimal group

Researchers employ a technique called the minimal group paradigm to instigate new social groups in the lab. The objective is to classify people into groups using minimal, meaningless, or arbitrary criteria.

A minimal group is a a group lacking interdependence, group cohesion, structure, and other characteristics typically found in social groups.

An example is a group of people disembarking from a bus.

According to the question ,

The instructor is dividing the class by means of coin

Here, the flipping of coin is an arbitrary criteria . Also , the group formed will be anonymous

Hence , the formed group will be minimal group

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consider n>3 lines in general position in the plane. prove that these lines form at least n - 2 triangles. g

Answers

In general, there are n>3 lines in the plane. Show that at least n - 2 triangles are formed by these lines.

Let's consider the following diagram, where each line is labelled with a letter:

A-B-C-D-E

Since each line intersects with at least one other line, there are at least n-2 triangles that can be formed. For example, triangle ABC, triangle ABD, triangle ABE, triangle BCD, triangle BDE, and triangle CDE are all triangles that can be formed from our five lines.

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A town's population has been growing linearly. In 2003 the population was 22,000. The population has been growing by 1700 people each year. Write an equation for the population, P, x years after 2003. P = Preview Use the formula to find the population in 2009: Preview

Answers

The equation is P = 1700x + 22,000 and the population in 2009 is 32,200.

Here we have to find the equation to get to know the population after x years.

Data provided:

Population in 2003 = 22,000

Year = x year

Population increases every year = 1700

Let P be the population after x year.

So the equation is:

P = 1700x + 22,000

Now we have to find the population in 2009.

So 2009 - 2003 = 6

Put x = 6

P = 1700 × 6 + 22,000

  = 10200 + 22,000

  = 32,200

Therefore the equation is P = 1700x + 22,00 and in 2009 population is 32,200.

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Which of the following examples represents a proportional relationship?

Answers

The example that represents a proportional relationship is A. y = -x

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form of y = kx.

In the proportional relationship, the constant of proportionality k is equal to the slope m and the line passes through the origin

It should be noted that y = -x is a linear equation that passes through the origin.

In conclusion, the correct option is A.

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consider the following page reference string: 7, 2, 3, 1, 2, 5, 3, 4, 6, 7, 7, 1, 0, 5, 4, 6, 2, 3, 0 , 1. assuming demand paging with four frames, how many page faults would occur for the following replacement algorithms?

Answers

Answer:

Step-by-step explanation:

(2r+4) = (r+4) solve for r

Answers

Answer:

r = 0

Step-by-step explanation:

the first thing you can do to solve this equation is to remove the parenthesis

2r + 4 = r + 4

now subtract 4 from both sides

2r = r

subtract 4 from both sides

r = 0

that is your answer

Diandre completed 15 drills in 2 hours.
The rate is 15/2
What is the Unit Rate of 15/2?

Answers

If Diandre completed 15 drills in 2 hours, the unit rate will be 7.5 drills per hour.

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, Diandre completed 15 drills in 2 hours. The rate is 15/2

A unit rate is a cost for just one of something. This is expressed as a ratio with a denominator of 1. For instance, it is useful in large applications like finding the average speed.

Thus, if Diandre completed 15 drills in 2 hours, the unit rate will be 7.5 drills per hour.

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what is the slope of 0

Answers

It’s c your right great job

Write in lope intercept form an equation of the line that pae through the given point. (5,4) & (10,8)

Answers

The equation of the line in slope intercept form is y = 4/5 x.

Define the term slope intercept form?A line's equation of the sort y = mx + b can be given in slope intercept form. The m stands for the line's slope, and the b for the y-intercept. If you need to find a point on a line or compute for y given x, you utilize the slope intercept form.

For the stated question-

The given points are-

(x1, y1) = (5,4)

(x2, y2) = (10,8)

Slope m = (y2 -y1)/ (x2 - x1)

m = (8 - 4)/(10 - 5)

m = 4/5

Equation of the line;

y - y1 = m(x - x1)

y - 4 = 4/5 (x - 5)

y = 4/5 x - 4 + 4

y = 4/5 x

Thus, the equation of the line in slope intercept form is y = 4/5 x.

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need help on 3 and 4 please!!

Answers

Answer:

Step-by-step explanation:

given a circle that is divided into n identical sectors, and we have k different colors to paint it. how many ways can we paint it under the condition that no adjacent pieces have the same color?

Answers

The number of ways we can paint is g(nk)=1/n ∑d | n ϕ(d) ((k−1)^n/d +(−1)^n/d (k−1))

Given,

Whether your circle has named sectors (i.e., is fixed) or lacks labels will determine this (i.e. is free).

In the first scenario, inclusion-exclusion can be used to create sets Ai,j of colorings with adjacent sectors I and j having the same color. Next, generally

|Ai1,j1∩⋯∩Air,jr|={(k^n − r r<n) ( k r=n)

And inclusion-exclusion yields f(n, k), the number of sectors that are colored with k colors that are not related to any of Ai, j (i.e., do not have similar adjacent colors):

f(n, k) = ∑r = 0 n−1 (−1)^r (n, r) k^n - r + (−1)^n (n, n)k

And the result of adding and subtracting (1) is:

⟹f(n, k) = ∑r = 0 n−1 (−1)^r (n, r) k^n−r + (−1)^n (n, n)k = (k−1)^n + (−1)^n (k−1)

That is your response to the fixed circle.

Burnside's Lemma, which generates the cycle index of a combinatorial necklace, must be applied if you want the solution for a free circle (assuming the symmetries involved are merely rotations):

Z(Cn) = 1n∑d∣nϕ(d)an/dd

Then, n/d cycles with dN sectors in each cycle, an/dd permutations representing rotations of sectors, and (d) is the Euler Totient Function[4] are used.

Since each cycle must contain a single color from the n available options, we must swap out an/dd with f(n/d, k), resulting in a total of g(n, k) free colorings for n>1*:

g(n, k)=1/n ∑d∣n ϕ(d) ((k−1)^n/d +(−1)^n/d (k−1))

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Maura runs 6 miles in 75 minutes. Ava runs 5 miles in 45 minutes.
Who runs faster?

Answers

Answer:

Ava is running faster than Maura.

Step-by-step explanation:

We are finding the speed in miles/minute.

6/75=0.08miles/minute

5/45=0.(1)miles/minute

0.(1)is greater than 0/08

Ava is running faster than Maura.

Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k. What test can you use to check whether the true average is 59k?.

Answers

One sample mean t test is used to to check whether the true average is 59k.

Average:

In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we need to find in what test can you use to check whether the true average is 59k.

While we looking into the given question we have identified the following details,

Number of students = 49

True average = 59k

Sample average = 44k

In this given situation, the perfectly suitable test is one sample t test,

Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.

Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.

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a national computer retailer believes that the average sales are greater for salespersons with a college degree. a random sample of 14 salespersons with a degree had an average weekly sale of $3542 last year, while 17 salespersons without a college degree averaged $3301 in weekly sales. the standard deviations were $468 and $642 respectively. is there evidence to support the retailer's belief?

Answers

There is sufficient data to back up the assertion that salespeople with college degrees generate much higher average sales than salespeople without.

Given,

This is a test of the hypothesis that the means of the two populations differ.

The assertion is that salespeople with college degrees generate much higher average sales than salespeople without.

The alternative and null hypothesis are then:

H₀ ; μ₁ - μ₂ = 0

Hₐ ;  μ₁ - μ₂ > 0

The level of significance is 0.05.

The mean and standard deviation for sample 1 (college degree), with n1=14, are 3542 and 468, respectively.

The mean and standard deviation of sample 2 (non-college degree), with n2=17, are 3301 and 642, respectively.

Now,

Md = M₁ - M₂ = 3542 - 3301 = 241

Md=241 is the difference between the sample means.

The following formula is used to calculate the estimated standard error of the difference between means:

S Md = √(σ₁²/n₁ + σ₂²/n₂) = √(468²/14 + 642²/17) = √(15644.6 + 24244.94) = 199.72

Then, we can calculate the t-statistic as:

t = (Md - (μ₁ - μ₂) / S Md = 241 - 0 / 199.72 = 241/199.72  = 1.21

The degrees of freedom for this test are:

Df = n₁ + n₂ - 2 = 14 + 17 - 2 = 29

Right-tailed tests have 29 degrees of freedom and t=1.21, so the following formula is used to determine the P-value for this test:

P Value = P(t > 1.21) = 0.118025

The effect is significant since the P-value (0.118025) is less than the 0.05 standard of significance.

The null hypothesis is rejected.

Therefore,

The idea that salespeople with college degrees generate much higher average sales than those without is supported by sufficient data.

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A high school offers math placement exams for incoming freshmen to place students into the appropriate math class during their freshman year. Three different middle schools were sampled and the following pass/fail results were found. Run a test for independence at the 0.10 level of significance. School A School B School C Pass 42 29 45 Fail 57 35 61 Hypotheses: Pass/fail rates are dependent on/independent of school. Pass/fail rates are independent of/dependent on school. Enter the expected matrix - round to 4 decimal places. School A School B School C Pass Fail After running an independence test, can it be concluded that pass/fail rates are dependent on school? Yes/No

Answers

The pass numbers are independent of the school of study.

Given that a high  school offers math placement exams for incoming freshmen to place students into the appropriate math class during their freshman year

Set up hypotheses as

H₀ : Pass independent of school

Hₐ : Pass independent on school

Two tailed chi square test for independence)

Contingency table is shows as below

School A B C Total

Pass 42 29 45 116

Expected 38.6667 38.6667 38.6667 116.0000667

Obs-exp)^2/observed 0.2874 2.4167 1.0373 3.74138208

df 2    

p value = 0.154

Since p > alpha(0.1) we accept null hypothesis

The pass numbers are independent of the school of study.

Hence we get the required answer.

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in how many ways can 66 people be seated in a row if 1) there are no restrictions on the seating arrangement?

Answers

240 people can seat in a row without restriction in an arrangement.

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.

Permutations differ from combinations, which are selections of some members of a set regardless of order. For example, written as tuples, there are six permutations of the set {1, 2, 3}, namely (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). These are all the possible orderings of this three-element set. Anagrams of words whose letters are different are also permutations: the letters are already ordered in the original word, and the anagram is a reordering of the letters. The study of permutations of finite sets is an important topic in the fields of combinatorics and group theory.

According to the question:

Consider A and B being the people sitting next to each other, as one entity AB or BA.

There are now 5 entities (one of two persons A and B and five of one single person) that have to be placed in a row.

With AB, there are thus 5! possibilities. With BA, there are also 6! possibilities.

Considering both, there are thus 2× 5! = 240 ways to seat 6 people in a row of six seats if two people insist on sitting next to each other.

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14.95x4.1
can someone explain how to like do it like how u get the answer

Answers

there’s this thing called a calculator

PLEASE HURRY! WILL GIVE AHYTHING!!
Spin a spinner with three equal sections colored red, white, and blue. What is P(yellow)?

33%
0%
100%
66%

Answers

Answer:33%

Step-by-step explanation: take 1 divided by 3 which equals 0.33 multiply that by 100 to get a percentage of 33 percent

you don't need to give me anything

Answer:

33%

Step-by-step explanation:

I want your chocolate.

What is the 62 th term of the sequence 11, 14, 17, 20...?

Answers

The 62th term is 194

if a tree is 10 inches tall after 1 year and grows 40 inches every 5 years how tall would it be in 19 years

Answers

Answer:

The total length of the tree in the total of 19 years (including the first year) would be 210 inches.

Answer: 210in

Step-by-step explanation:

The value of China’ export of automobile and part i approximately F of X equal 1. 8208 to the E to the 0. 3387. Ak her ak equal zero correpond in 1998 and what year did will the oxford reach 5. 3 billion

Answers

In the year 2002 the exports of Chinese's automobile parts will $5.3 billion.

Explain the term exponential function?The formula for an exponential function is f (x) = a^e, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

The exponential function for the given export of Chinese's automobile parts is-

5.3 = 1.8208 e^0.3387x

5.3/1.8208 = e^0.3387x

Taking ln both sides-

ln(5.3/1.8208) = ln e^0.3387x

ln(5.3/1.8208) = 0.3387x

Further simplifying

x = ln(5.3/1.8208)/0.3387

x =  3.15

x ≈ 3 year ad some months

Add 3 years to 1998 to get the required year.

Year = 1998 + 3

Year = 2001 and months

Year = 2002

Thus, in the year 2002 the exports of Chinese's automobile parts will $5.3 billion.

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The correct question is-

The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e^.3387x, where x = 0 corresponds to 1998.

In what year did/will the exports reach $5.3 billion?

Name the property shown by each statement.
c x 1 = c
a. Commutative Property of Multiplication
b. Additive Identity
c. Multiplicative Identity
d. Associative Property of Multiplication

Answers

Answer:

c) Multiplicative Identity

Step-by-step explanation:

Given equation,

→ c × 1 = c

Then the given equation shows,

→ Multiplicative Identity

(number × 1 = number)

Hence, the option (c) is correct.

C

uses the multiplication sign<3

The stem-and-leaf display represents scores achieved on a 100-point biology exam by the
34 members of the class. Identify the mean, median and mode for the data represented.

Answers

The measures of central tendency from the given stem-and-leaf plot are given as follows:

Mean: 74.62Median: 74.5.Mode: 73.

What is shown by the stem-and-leaf plot?

The stem-and-leaf plot shows the measures of the data-set, in which:

The left digit is the first digit.The right digit is the second digit.

For example:

4|7 = 47.

Hence all the measures of the data-set are given as follows:

47, 51, 56, 57, 62, 63, 63, 66, 66, 68, 68, 70, 71, 73, 73, 73, 73, 76, 76, 77, 77, 79, 80, 81, 82, 83, 86, 88, 88, 90, 91, 93, 93, 97.

The mean is given by the sum of all scores divided by the number of scores, hence it is given as follows:

Mean = 74.62.

The median is the middle value of the data-set. The data-set has 34 elements, which is an even cardinality, hence the median is given by the mean of the 17th and of the 18th element, as follows:

Median = (73 + 76)/2 = 74.5.

The mode is the value that appears the most times in the data-set, which is of 73, as it is the only score to appear four times in the data-set.

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the coefficient of determination is the proportion of variability of the dependent variable (y) accounted for or explained by the independent variable (x). true false

Answers

The Coefficient of determination is the proportion of variability of the dependent and independent variable this statement is true.

The primary result of the regression analysis is the coefficient of determination because it indicates the percentage of variations in the dependent variable that can be accounted for by the independent variable.

The effectiveness of a statistical model in forecasting a result is indicated by the coefficient of determination [tex]R^2[/tex]. The dependent variable in the model is a representation of the result. [tex]R^2[/tex] can have a minimum value of 0 and a maximum value of 1.

Researchers frequently rely on coefficient, also referred to as R-squared (or [tex]R^2[/tex]), when performing trend analysis to determine how strong the linear relationship is between two variables.

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Which inequality is a true statement?
Select each correct answer.


−3<−1

−3≤−1

−3>−1

−3≥−1

−3=−1

(please answer correctly)

Answers

Answer:

−3 < −1

−3 ≤ −1

Step-by-step explanation:

Symbol explanation

<  means "less than".>  means "more than".≤  means "less than or equal to".≥  means "more than or equal to".=  means "equal to".

A negative number is any number that is less than zero.

On the number line the negative numbers are to the left of the zero.

-3 is less than -1 because -3 lies to the left of -1 on the number line.

Therefore, the only given inequalities that are true statements are:

-3 < -1 as -3 is less than -1.-3 ≤ −1  as -3 is less than or equal to -1.
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D$ ?. on january 1, 2025, wildhorse co. had a balance of $439,200 of goodwill on its balance sheet that resulted from the purchase of a small business in a prior year. the goodwill had an indefinite life. during 2025, the company had the following additional transactions. jan. 2 purchased a patent (5-year life) $341,600. july 1 acquired a 9-year franchise; expiration date july 1, 2034, $658,800. sept. 1 research and development costs $225,700.Prepare the necessary entries to record the transactions related to intangibles. All costs incurred were for cash. (Record entries in the order displayed in the problem statement. Credit account titles are automatically indented when the amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)DateAccount TitlesDebitCreditMake an entry as of December 31, 2022, recording any necessary amortization. (Round answers to 0 decimal places, e.g. 125. Credit account titles are automatically indented when the amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)Account Titles and ExplanationDebitCreditIndicate what the intangible asset account balances should be on December 31, 2022Patent:Franchise: Which of the following statements regarding suctioning of a newborn's mouth and oropharynx is correct?Select one:a. Newborns rapidly expel fluid from their lungs and do not require suctioning.b. Suctioning should be performed on all newborns immediately following delivery.c. Suctioning is indicated prior to cutting the cord if respiratory distress is present.d. If the head delivers facedown, the mouth and nose should be suctioned at once. 5. The population of deer in a park is growing over the years. The table below gives the population found in asurvey by local wildlife officials.Year2000200320062009Deer Population168216264312(a) Find the average rate that the deer population is changing over each time interval below:From 2000 to 2003From 2003 to 2006From 2006 to 2009(b) Why does this calculation indicate a linear (c) Ift stands for the number of years since 2000,relationship?write an equation for the deer population, p, as afunction of 1.(d) What does your model predict the deer (e) How many years will it take for the deerpopulation to be in the year 2014?population to reach 500? Round to the nearestyear. What is the value of the expression below when z = 3?z+z+7 Find the indicated side. which assessment suggests to the nurse that a client with systemic lupus erythematous is having renal involvement? Which of the following provides the best evidence that glycolysis evolved before other reaction pathways in cellular respiration? A. Glycolysis takes place in the mitochondrial matrix and does not require oxygen. O B. Glycolysis is carried out in prokaryotic cells, but not in eukaryotic cells. C. Glycolysis does not involve membrane-bound organelles and is present in virtually all organisms. D. Glycolysis produces significantly less ATP than does oxidative phosphorylation.Previous questionNext question Agreements presidents make with foreigncountries the great seal of the united states features an eagle clutching an olive branch in the talons of its right foot, symbolizing the power of peace. what is it grasping in the talons of its other foot?