-x+4y= 29 6x+2y= -18

Answers

Answer 1

Answer:

(- 5, 6 )

Step-by-step explanation:

- x + 4y = 29 → (1)

6x + 2y = - 18 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate y

- 12x - 4y = 36 → (3)

add (1) and (3) term by term to eliminate y

(- x - 12x) + (4y - 4y) = 29 + 36

- 13x + 0 = 65

- 13x = 65 ( divide both sides by - 13 )

x = - 5

substitute x = - 5 into either of the 2 equations and solve for y

substituting into (1)

- (- 5) + 4y = 29

5 + 4y = 29 ( subtract 5 from both sides )

4y = 24 ( divide both sides by 4 )

y = 6

solution is (- 5, 6 )

Answer 2

Answer:

x=-5 and y=6

Step-by-step explanation:

1) Isolate one of the variables in one of the equations, this means put move all other terms to the other side. In this case, isolate the -x, and make you get -x=29-4y.

2) Since -x is negative, we need to make it positive. We can do this by multiplying the entire equation by -1. The equation is now x=4y-29.

3) We can now use the substitution method. Do this by inserting the value of x in the first equation into the second one. We get 6(4y-29)+2y=-18.

4) Next, we can use the distributive property to simplify the equation. We do this by multiplying the 6 by the parentheses. We get 24y-174+2y=-18.

5) We can combine like terms, in this case, the y value to make the equation simpler. We get 26y-174=-18.

6) Next, solve the equation for y, we need to add 174 to cancel it out on one side and put it to the other. Then we divide by 26 to isolate and solve for y. We get y=6.

7) The last step is to solve for x. We do this by applying the value of y, which is 6 to the value of x in the first equation. We get x=4(6)-29. After simplifying the equation you get x=-5.

                                           I hope this helps :)


Related Questions

In making a dot plot for the data set, how would you scale the number line?Data set: 10, 8, 8, 15, 12, 14, 12, 14, 10, 10, 8A)8 to 14 in increments of 1B)8 to 15 in increments of 1C)0 to 15 in increments of 1D)0 to 15 in increments of3

Answers

Arranging the data set in increasing order:

8, 8, 8, 10, 10, 10, 12, 12, 14, 14, 15

We have to have plots at each of these unique numbers.

So,

We will make the dot plot from 8 to 15 and basically have increments of 1.

B is the correct choice.

who led the women rights movemnt during the Industrial Revoultion in Britain?

Answers

Answer:

Elizibeth Cady Stanton

Step-by-step explanation:

Anthony and Elizabeth Cady Stanton formed groups to push for women's right to vote during the Industrial Revolution. It took a long time and a lot of work, but women finally gained the right to vote when the 19th Amendment was ratified in 1920.

Answer: I think it's Elizabeth Cady Stanton

Step-by-step explanation:

Anthony and Elizabeth Cady Stanton formed groups to push for women's right to vote during the Industrial Revolution. It took a long time and a lot of work, but women finally gained the right to vote when the 19th Amendment was ratified in 1920.

8. A school official calculated that the school bus arrives by 8 a.m. 90% of the time. If the
bus runs 200 days, on how many days can the school official expect it to arrive after
8 a.m.?

Answers

Answer:

20 days of the 200 total days

Step-by-step explanation:

1.  200/100=2

2. 2x90=180

3. 200-180=20

8. [5 pts) How many permutations of the decimal digits 0,1,2,3,4,5,6,7,8,9 are such that 2 and 4 occur before 6, and 4 occurs before 8. ("Before" does not mean "immediately before": examples of permutations that count: 1435269807 and 7541829063.)

Answers

There are 1,411,200 permutations of the decimal digits 0,1,2,3,4,5,6,7,8,9 that satisfy the given conditions.

Step 1: Decide where the numbers 2, 4, 6, and 8 will go.

Using the provided digits, we must select 4 of the 10 locations that are accessible. Moreover, we must make sure that 2 and 4 come before 6 and that 4 comes before 8. This is what we can do:

Among the 10 possible spots, pick two (in any sequence) for the digits 2 and 4. There are ten possible approaches—pick two.

After selecting the spots for the numbers 2 and 4, choose one of the remaining 8 slots for the digit 6.

There are eight options from which to pick.

Among the remaining 7 spots after the one you choose for the number 4, pick one for the numeral 8.

This can be done in 7 choose 1 ways.

Step 2: Arrange the remaining digits.

We are left with the digits 0, 1, 3, 5, 7, and 9, which need to be arranged in the remaining 6 positions. This can be done in 6! ways.

Step 3: Multiply the results from Step 1 and Step 2 to get the total number of permutations.

The total number of permutations is the product of the results from Step 1 and Step 2:

Number of permutations = (10 choose 2) x (8 choose 1) x (7 choose 1) x 6! = 45 x 8 x 7 x 720 = 1,411,200

Therefore, there are 1,411,200 permutations of the decimal digits 0,1,2,3,4,5,6,7,8,9 that satisfy the given conditions.

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SALES A daily newspaper had 12,125 subscribers when it began publication. Five years later it had 10,100 subscribers. What is the average yearly rate of change in the number of subscribers for the five-year period?

Answers

Answer:

The average change is 405

Step-by-step explanation:

The initially the number of subscriber = 12125

After five years the number of subscriber = 10100

Now we have to find the average change in the number of subscribers.

The average yearly change = change in subscriber/number of years.

Now insert the values in the above formula.

The average yearly change = (12125 – 10100) / 5

The average yearly change = 2025/5

The average yearly change = 405

Answer: The average change is -405

Step-by-step explanation:just did the homework

Rewrite the exponential model as a logarithmic model that calculates the number of years, , for the number of infected trees to reach a value of x. enter the correct answer in the box.

Answers

The exponential model as a logarithmic model that calculates the number of years, for the number of infected trees to reach a value of x, The logarithmic model is: g(x) = In x/0.4

We are given that there is an exponential function, for the amount of infected trees f(x) after x years.

We have to find the amount years needed for the number of infected trees to reach x, we find the inverse function, applying the natural logarithm.

The original function is: y = f(x) = eˣ

to find the inverse function, first, we exchange y and x, so:

= x

Now, we have to isolate y, and we start applying the natural logarithm to both sides of the equality. So:

In e⁰⁴y = In x

0.4y = In x

y = In x/0.4

Thus, the logarithmic model is:

g(x) = In x/0.4

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HELP PLEASE ASAP WILL GIVE BRAINLIEST

Farmer Hopt started with some alabers on her farm. She had 90 alabers after 5 months. After 16 months, she had 167 alabers. Assume a constant rate of change.

Write an equation in slope-intercept form for total alabers, y, after x months.

Answers

Answer:

\(y= 11x+35\)

Step-by-step explanation:

Let's find the slope first. It took hopt 11 months (from 5 to 16) to grow 77 trees. It means that each month he grew \(\frac{77}{11} = 7\) trees.

At this point you can use the point-slope form and re-write the equation or, let's think about it. It's a direct proportion. If at month 5 she has 90 trees, one month earlier she had 11 less. two month earlier, 22 less. 5 month earlier, or at x = 0 (ie, our intercept!) she had 55 less trees, or 90-55 = 35 trees

The equation is then \(y= 11x+35\)

a staright line has equation 3y-3x=4. Write down the equation of another straight line parallel to it.​

Answers

Answer:

Step-by-step explanation:

1 Factor out the common term 33.

3(y-x)=4.

3(y−x)=4.

2 Divide both sides by 33.

y-x=\frac{4.}{3}

y−x=

3

4.

3 Subtract yy from both sides.

-x=\frac{4.}{3}-y

−x=

3

4.

−y

4 Multiply both sides by -1−1.

x=-\frac{4.}{3}+y

x=−

3

4.

+y

5 Regroup terms.

x=y-\frac{4.}{3}

x=y−

3

4.

Samantha wants to wrap this unassembled box with paper. The base of the box measures 3 inches by 6 inches. When the box is assembled it measures 9 inches tall. If Samantha wraps the box with paper, how many square inches will she need?

Samantha wants to wrap this unassembled box with paper. The base of the box measures 3 inches by 6 inches.

Answers

Answer:

198 in.^2

Step-by-step explanation:

You need the area of the net that is shown.

The long horizontal rectangle made up of 4 smaller rectangles has length 3 in. + 9 in. + 3 in. + 9 in. = 24 in. Its width is 6 in.

Then there are two congruent rectangles with length 9 in. and width 3 in.

area of rectangle = length * width

total area = 24 in. * 6 in. + 2 * 9 in. * 3 in.

total area = 198 in.^2

Find the reciprocal
(Urgent!!)

Find the reciprocal (Urgent!!)

Answers

Answer:

1) 2

2) \(\frac{3}{2}\) or \(1\frac{1}{2}\)

3) 5

4) 3

5) \(\frac{5}{3}\) or \(1\frac{2}{3}\)

6) \(\frac{4}{5}\)

7) \(\frac{5}{2}\) or \(2\frac{1}{2}\)

8) \(\frac{7}{3}\) or \(2\frac{1}{3}\)

9) \(\frac{2}{3}\)

Step-by-step explanation:

The reciprocal is the fraction flipped. To make sure it is a reciprocal though, multiply the original and the reciprocal. If it is the correct reciprocal, you will get 1 as your answer.

Hope it helps!

What’s 1.89207115 in its simplest form

Answers

1.89207115 is a decimal number that cannot be expressed in fractions or integers. If you wish to round it to a specific number of decimal places, you can. For example, rounding to two decimal places yields 1.89.

What is equation?

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument \("2x + 3 = 9"\) asserts that the phrase\("2x + 3"\) equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation \("x^2 + 2x - 3 = 0.\)" Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

1.89207115 is a decimal number that cannot be expressed in fractions or integers. If you wish to round it to a specific number of decimal places, you can. For example, rounding to two decimal places yields 1.89.

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does anyone know this one

does anyone know this one

Answers

Answer:

x + 3y = 14

-4 + 3y = 14

+4 +4

3y = 18

y = 6

Please help I’ll give Brainliest

Please help Ill give Brainliest

Answers

Answer:

b- g(x)=7x+9

Step-by-step explanation:

the vertical compress is the slope so m

and the shifts up 9 is the y-intercept

hope this helps :)

15. Which of the following systems has no solution?
A. 3x – 2y = - 16x – 4y = 6
B. -x + y = 12x – 3y = 4
C. 4x + y = 7x + 4y = 4
D. 3x – 4y = 2 - 2x + 4y = 9

Answers

Answer:

A. has no solution

Step-by-step explanation:

if p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =

Answers

The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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Would f(x) be the answer for both and how do you graph the g(x) table graph. What I have to solve for is on top in bold. I am asking for number 12
Algerba 1

Would f(x) be the answer for both and how do you graph the g(x) table graph. What I have to solve for

Answers

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

If y=4 when x=2 find y when x=16

Answers

Answer:

y will be 8??

Step-by-step explanation:

y = 8 x= 16

Answer:

I am going to assume that "y" varies directly as "x."

y = kx

4 = k(2)

2 = k

y = kx

y = 2(16)

y = 32

Step-by-step explanation:

There ya go. :)

b) Sanjit reads 3 books in 1 week.

Express as a unit rate and explain

Answers

We can write this as:

3 books / 1 week

This tells us that Sanjit reads 3 books per week.

Let's say he read for 3 weeks, we would multiply to find the number of books he read.

3 * 3 = 9 books

So, Sanjit can read 3 books in 1 week.

Best of Luck!

Answer:

3 books/1 week

Step-by-step explanation:

3 books

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

1 week

Use the following statement to answer questions 10-16.
If a number is greater than -500, then the number is greater than 500.
Determine the truth value of the conditional statement. Explain.

Answers

The truth value of the conditional statement is false

How to determine the truth value of the conditional statement?

The conditional statement is given as

“If a number is greater than -500, then the number is greater than 500.”

The above conditional statement is false

This is because not all numbers greater than -500 are greater than 500

for example 450 is greater than -500, but less than 500 that is the number between -500 and 500 will not satisfy the above statement.

Hence, the truth value of the conditional statement is false

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A coordinate plane.
Which expression could help you find the distance between (10, 4) and (–6, 4)?

Answers

Answer:

\(\displaystyle d = 16\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Step-by-step explanation:

Step 1: Define

Point (10, 4)

Point (-6, 4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       \(\displaystyle d = \sqrt{(-6-10)^2+(4-4)^2}\)[√Radical] (Parenthesis) Subtract:                                                                 \(\displaystyle d = \sqrt{(-16)^2+(0)^2}\)[√Radical] Evaluate exponents:                                                                    \(\displaystyle d = \sqrt{256}\)[√Radical] Evaluate:                                                                                       \(\displaystyle d = 16\)

What is the value of y in this system of equation? -6x+2y=-18 -3x-2y=54

Answers

Answer:

Y= -21

Step-by-step explanation:

Evaluate 4/x for x = -2/3

Answers

4/x where x= -2/3

4/(-2/3)

(4/1) / (-2/3)

(4/1) * (3/-2)

12/-2

-6

Hope this helps! :)

David spent 3 hours doing his homework on Monday. Which equation should be used to find h, the percent of the day he spent doing homework on Monday?

David spent 3 hours doing his homework on Monday. Which equation should be used to find h, the percent

Answers

The equation to represent the percent h the day he spent doing homework on Monday is \(\frac{h}{100} = \frac{3}{24}\)

How to find the equation to represent the percent of the day he spent doing homework on Monday?

David spent 3 hours doing his homework on Monday. The equation that can be used  to find h, the percent of the day he spent doing homework on Monday can be found as follows:

We have 24 hours in a day. So, on Monday she uses 3 hours for her homework.

Therefore, the equation to represent the percentage h is as follows:

h = 3 / 24 × 100

h = 300 / 24

24h = 300

h = 300 / 24

h = 12.5%

Hence, the equation is as follows;

\(\frac{h}{100} = \frac{3}{24}\)

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Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?

Answers

Answer:

$3,000

Step-by-step explanation:

This problem is based on compound interest, and the expression for the compound interest is given as

Given Data

A = final amount  =  ?

P = initial principal balance  = $2,500

r = interest rate = 2.1%= 0.021

t = number of time periods elapsed= 14 years

Substituting our data into the compound interest formula we can solve for the final amount

\(A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\\)

Hence to the nearest hundred we have the account balance has $3,000

Answer:3400

Step-by-step explanation:

A translation moves P(0,5) to P'(3,1). What are the coordinates of the image
of point (-3,-5) under the same translation?

Answers

Answer:

xxxxxxzzzjjznzjsbsbsbshj

Step-by-step explanation:

sekjxhxjdjdknxxbbxjdkekmdkdkddo


A wall is 8 m long, 4 m high, and 22.5 cm thick. How many bricks of length 25 cm, breadth 12.5
cm, and 8 cm high are needed to build the wall?​

Answers

Answer:

The answer is 2880 I might be wrong

I think 50 because there are 100cm in a meter, so there are 400cm in 4m. If the blocks are 8cm tall and the wall 4m tall, it should be 50 because 400/8=50

What is the surface area? I got 136 I needed someone to check it since I’m not sure

What is the surface area? I got 136 I needed someone to check it since Im not sure

Answers

Answer:

also got 136 its right

Step-by-step explanation:

If an estimator of the slope is unbiased, then when we calculate that estimate from a sample, it means: Group of answer choices The expected value of the estimator over many random samples would be equal to the true population slope. every sample estimate will be exactly equal to the population slope the sample estimate is always the true population slope every sample estimate will be very close to the population slope

Answers

The expected value of the estimator over many random samples would be equal to the true population slope.

As per the definition of the unbiased estimator, we know that the estimator is said to be unbiased if the expected value of the estimator is equal to the population parameter. This means the expected value of the estimator over many random samples would be equal to the true population slope.

In probability theory, the expected value (also called expected value, expected value, mathematical expected value, mean, mean, or first moment) is a generalization of weighted average. Informally, the expected value is the arithmetic mean of a large number of independently selected random variables.

To find the expected value E(X) or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as E(X) = μ = ∑ x P(x).

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please solve for the correct answer. thank you! :)

please solve for the correct answer. thank you! :)

Answers

Answer:

           The first:    y = -25x + 180

Step-by-step explanation:

In every equation b = 170, so

The equation is  y =mx + 170

On the line on the graph, for x=2 we have y = 120,so:

 120 = m×2 + 170

 -50 = 2m

   m = 25

Therefore the equation is:

                                          y = -25x + 180

Find the find the area and the circumference of the circle round your answer to the nearest hundredth ​

Find the find the area and the circumference of the circle round your answer to the nearest hundredth

Answers

Area = pi * r^2
Area = pi * 12^2 = 452.39 square units
Circumference = 2(pi) * r
2 * pi * 12 = 75.40 units

Answer:

area =  452.39 square units

circumference = 75.40 square units

Step-by-step explanation:

area = \(\pi r^{2}\)

r = 12

452.389

circumference = \(\pi *d\)

d = 2r

r = 12

d = 24

75.398

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