How many solutions does the system below have?
2x + 6y = 12
y =
= -x + 2
1 solution
2 solutions
no solutions
infinite solutions

Answers

Answer 1
Answer: 1 solution

An augmented matrix for the system is
[2,6,12;1,1,2] where we will call the first two columns A and the third b. A is linearly independent since it is row equivalent to the identity matrix, which tells us that for any b there will be a unique solution (x,y).

Related Questions

8x-17-5x=13 what does x equal?

Answers

1. Collect like terms 8x-17-5x=13 to 3x-17=13
2. Move constant to the right hand side and change its sign 3x=13+17
3. Add the numbers 3x=30
4. Divide both sides of the equation by 3
X=10
A visual to what the first person was explaining:)

The equation y=-2/3x-6 in standard form

Answers

2x+3y=-18

multiply both sides by 3
3y=3(-2/3x-6)

simplify
3y=-2x-18

move terms with variables to the left side of the equation
2x+3y=-18

The equation in the standard from is 2x + 3y = -18.

What is the linear equation?

The linear equation is the algebraic form of equation whose variable has the exponent of one. It is the combination of two variables and a constant value present in them.

For the given situation,

The equation is y = -2/3 x - 6

The standard form of linear equation is Ax +By = C,

where A,B,C are numbers and x,y are intercepts.

⇒ [tex]y=\frac{-2}{3}x -6[/tex]

Taking LCM on RHS,

⇒ [tex]y=\frac{-2x-18}{3}[/tex]

⇒ [tex]3y=-2x-18[/tex]

Rearrange the equation in the standard from,

⇒ [tex]2x+3y=-18[/tex]

Hence we can conclude that the equation in the standard from is           2x + 3y = -18.

Learn more about linear equation here

https://brainly.com/question/7380540

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As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports their revenue for the year as 0.15 of the company's revenue, and the other restaurant reports 21% of the company's revenue. What is the total percentage of the company's revenue that your two stores report? 3.6% 6% 21.15% 22.5% 36%

Answers

Answer:

Total = 36%

Step-by-step explanation:

Given

Company A = 0.15

Company B = 21%

Required

Determine the total revenue

Total is calculated as thus:

Total = Company A + Company B

Total = 0.15 + 21%

Represent 0.15 as %

Total = 0.15*100% + 21%

Total = 15% + 21%

Total = 36%

f(x)=-3x+12 represents the amount of ounces of juice left in a bottle after you take x gulps. How many gulps did you take if there are 3 ounces left?

Answers

Answer:

3 gulps

Step-by-step explanation:

In this problem, f(x) = 3. Plug this into the equation:

3 = -3x + 12

Solve for x:

3 - 12 = -3x + 12 - 12

-9 = -3x

-9 / -3 = -3x / -3

3 = x

3 gulps

w = p+2
for p

P =


*PLS HELP I DONT KNOW HOW TO DO THIS*

Answers

Answer:

P = w - 2

Step-by-step explanation:

I am sorry but I do not quite understand your question here!

7. Ryan has $3.00 worth of coins in his coin jar. If the jar contains 16 coins and all of the coins in the jar
are either nickels or quarters. How many quarters does he have?

Answers

Answer:

pretty sure he has 5 quarters

Step-by-step explanation:

16 divided by 3 = 5

5 quarters because 16 divided by 3 equals 6

I need these 2 question this is important like actually

Answers

Answer:

1) 1,3,5,7

2) I can't really see it, it is blurry. Im sorry

Step-by-step explanation:

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!! Show your work !!!!!!!!!!!!!!

Answers

Answer:17x

Step-by-step explanation:

I don't get it doesn't make sense?​

Answers

answer:

26 feet

step by step explanation:

40 - 5.2 = 35.2 - 8 = 27 - 1 = 26

can anyone help me get 4 brainliest plz

Answers

ok i will just friend me but as long as you mark this the brainlest :)

Ok, sure I will just ask as many questions.

i rlly need help im stuck can someone help me out. What the total price?

Answers

Your total price is 312.
Add the price of the trampoline and the sales tax

Given triangle JKL, sin(38°) equals

cos(38°)
cos(52°)
tan(38°)
tan(52°)

Answers

Answer:

B I TOOK THE TEST

Step-by-step explanation:

Answer:

The Answer is

Cos(52)

Step-by-step explanation:

in case the letters aren't the same

((*FOR BRAINLIEST!!*))

A top-grossing rock concert sold $121.2 million worth of tickets over the course of 60 shows. What was the average value of the tickets sold at each of the shows?

A. $20.2 million

B. $2.02 million

C. $0.202 million

D. $7.27 million

Answers

Answer:

B

Step-by-step explanation:

Write an equation in slope-intercept form for the line that has a slope of 3 and a y-
intercept of -2.
O y = 3x - 2
O y = -2x + 3
2x + 3y = 1
0 -2x + 3y = 1
Please help

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

y=mx+b is the formula for slope intercept.  where m is the slope and b is the y-intercept.

2(3−8y)=? Does anyone know what this is?

Answers

Answer:

i think it’s y = -3/4

Step-by-step explanation:

3d-2(8d-9) > 3-(2d+7)
Show Your Work

Answers

Answer:

3d-2(8d-9)>3-(2d+7)     3xd-2x8xd-9 is greater than 3-2xd+7  

Hope this is correct and what you wanted!

Step-by-step explanation:

Answer:

d < 2 ord = ( - oo, 2)

Step-by-step explanation:

Solving in steps

3d-2(8d-9) > 3-(2d+7)3d - 16d + 18 > 3 - 2d - 7-13d + 18 > -2d - 4-13d + 2d > - 4 - 18-11d > -22d < 2 ord = ( - oo, 2)

Write a paragraph proof for the following conjecture:
Given: m∠1 +m∠2=m∠4
Prove: m∠3 +m∠1 +m∠2=180°

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

From the question given,

m∠1 + m∠2 = m∠4

To prove that:

m∠3 + m∠1 + m∠2 = 180°

We simply do the following:

m∠3 + m∠4 = 180°.... (1) (angle on a straight line)

But from the question given,

m∠4 = m∠1 + m∠2

Substitute the value of m∠4 into equation (1)

m∠3 + m∠4 = 180°

m∠3 + m∠1 + m∠2 = 180° QED

please help!!!!! thank you!!! any help would be appreciated!!

Answers

Answer:

I would say c. you welcome for my so called help

Anybody wanna help?ASAP?

Answers

Answer:

x=113º

Step-by-step explanation:

67 + x is a linear pair

they would be supplementary if they were next to each other

the 67º represents the acute angle directly next to xº

so

x+67= 180º

subtract 67º from both sides

180-67=113

x=113º

The equation below represents a situation.

13 – 14x = 38x

Which word problem could the equation represent?

A.) A jar contains 13 dollars worth of one kind of coin. Clara took 14 coins out of the jar. Now, there are 38 coins remaining. What is the value of one of the coins in the jar?

B.) A box contains 38 muffins. Nate sells 14 muffins and makes 13 dollars. How much did Nate charge per muffin?

C.) Over 13 days, Gretchen withdrew 14 dollars from her bank account and deposited 38 dollars. On average, how much money did she deposit each day?

D.) Matthew has 38 pages to read in his textbook, but 14 of the pages are ripped out. It took him 13 minutes to read the pages. How long did he spend on each page?

Answers

Hope this helps lmk if it works

Explain! Prizes! Thank you !

Answers

Answer:

$16

Step-by-step explanation:

20/5 = 4

4 x 4 = 16

Have a good day!

Answer:  Choice A) $16

==================================================

Work Shown:

5 notebooks = 20 dollars

5/5 notebooks = 20/5 dollars ..... divide both sides by 5

1 notebook = 4 dollars ..... unit rate

4*(1 notebook) = 4*(4 dollars) .... multiply both sides by 4

4 notebooks = 16 dollars

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

Another approach:

(5 notebooks)/(20 dollars) = (4 notebooks)/(x dollars)

5/20 = 4/x

5*x = 20*4 ... cross multiply

5x = 80

5x/5 = 80/5 .... dividing both sides by 5

x = 16

So 4 notebooks cost $16

(-5, -4); y = -2x + 4

Answers

Answer:

y= -2x squared +4x+66

Step-by-step explanation:

Answer:

y= -2x squared +4x+66

Step-by-step explanation:

7. Which is better? 500 people giving you $200 each or 200 people
giving you $500 each? Explain.

Answers

Answer:

both will give you the same amount of money, $100,000, so I would consider the fact that I'd rather only have 200 people give me money then 500. So I would say 200 people giving me $500 would be the best option

Solve -16x = -80.
-5
5
-96
-64
Will mark as brainliest

Answers

[tex] - 16x = - 80[/tex]

Divided sides by -16

[tex] \frac{ - 16}{ - 16}x = \frac{ - 80}{ - 16} \\ [/tex]

[tex]x = 5[/tex]

And we're done...♥️♥️♥️♥️♥️

Put the following numbers in order (from
largest to smallest):
-55.5, -12.2, -12, -55

Answers

Answer:

-12.2, -12, -55.5 and -55

Answer:

Hey mate......

This is ur answer......

-55.5< -55< -12.2< -12

hope it helps,

mark me as the brainliest,

follow me....

Which group contains numbers that all round most closely to 1/2?
A: 1/5, 2/9, 4/8
B: 3/5, 2/4, 4/7
C: 3/4, 5/6, 7/9
D: 1/2, 2/7, 9/10
pls help

Answers

Answer:

I think that B is the best answer

Four identical rectangles form the square. What is the perimeter of the square, if the perimeter of each rectangle is 40 inches?

Answers

Answer:

64

Step-by-step explanation:

so basically first I wanted to find the width, if you draw a model, it would be easy, so

I make 4 rectangles, one on top of the other for all of them.

so if you turn it clockwise 90 degrees, the rectangles are the same so if you draw them together then they over lap you can see that you can make a x:y for the lengths. If the width of the rectangle is 1 then the length of the rectangle is 4, 1:4 ,  so now we use the perimeter of 40 so now if the width is w and the length is l then wl is 20 (40/2) si niw 20/(1+4) which is 20/5 which is 4, so now we know that the width of the rectangle is 4 and the length is 4x4 which is 16 so now we can calculate the perimeter of the square, we know that the side length of the square is 16, so all we have to do is 16x4 which is 64.

Check all that apply.
x2 - 4 = 0
A. X = 4
B. X = -2
C. x = 1
D. X = -4
E. X = 2
F. x = -1

Answers

This is the difference of squares rule. This is essentially the same exact thing as (x-2)(x+2). Apply FOIL and check if you feel the need. We can see the zeros the function are at 2 and -2

The can of coffee weighs 20 ounces. Each book weighs 36 ounces. What is the weight, in ounces, of one carton of salt?

Answers

Number 5 The answer is 26. Brainliest pls.

The answer to number 6 is H

Answer to 7 is D

Answer to 8 is 5

Answer to 9 is H

10 is I

11 is 68 cartons or less

12 is A

13 is f

14 is b

15 is g

Los puntos A (5, 3) y B (-3, -3) representan los extremos de un trozo de madera que será usado por un carpintero para elaborar un mueble, al cual se le agregará una muesca en la tercera parte de su longitud (r = 1/3), tomando como referencia el punto A calcula la coordenada exacta donde ubicará esa muesca, mostrando tus operaciones y selecciona la opción correcta. A) (1.5,3) b) (0.75,3) c) (3,0.75) d) (3,1.5)

Answers

Answer:

Las coordenadas del punto son P([tex]2.\overline 3[/tex], 1)

Step-by-step explanation:

Las coordenadas de los extremos de la pieza de madera son A (5, 3) y B (-3, -3)

El punto, P, en el que se agregará la muesca = 1/3 de la longitud de AB

Por tanto, las coordenadas del punto, tomando A como punto de referencia, se dan como sigue;

P (5 + (-3 - 5) × 1/3, 3 + (-3 - 3) × 1/3) = P([tex]2.\overline 3[/tex], 1)

Las coordenadas del punto son P([tex]2.\overline 3[/tex], 1).

Other Questions
Read the passage.Rain forests are home to many types of plants, trees, and wild animals. These plants and trees are all very important parts of the ecosystem and the survival of rain forest animals. Deforestation makes the availability of food, shelter, and safety rare for the plants and animals. Without security of the trees, these plants and animals become helpless and endangered.Vulnerability to SunlightThe high trees and leaves create a shield and give shade to the plants and animals. Without the protection of the tall trees, a rain forest can't stay at a proper temperature. Many of the plants and animals are unable to handle the change in temperatures. During the day, the trees shade the plants and animals from the hot sun. In the evening, when the temperatures go down, the trees keep the warmth inside. Therefore, these trees are very important because they keep the temperature normal for the plants and animals.Vulnerability to DehydrationThe dense trees of the rainforest protect plants and animals from the hot sun, but they also maintain bodies of water. Without the protection of the trees, the temperature begins to rise. This means that the soil and streams in the rain forest dry up due to evaporation. This loss of water results in the dehydration of both animals and plants. Without water, nothing is able to survive. Everything needs water to grow and survive. When plants are not able to grow, the wild animals that eat the plants starve.The two main ideas from the passage are that trees create a shield to protect plants and animals from the sunlight, and trees in the rainforest are responsible for maintaining a water supply for plants and animals. Select the best group of sentences from the text that support these ideas.A. "Deforestation makes the availability of food, shelter, and safety rare for the plants and animals." . . . "This loss of water results in the dehydration of both animals and plants."B. "During the day, the trees shade the plants and animals from the hot sun." . . . "The dense trees of the rainforest protect plants and animals from the hot sun, but they also maintain bodies of water."C. "In the evening, when the temperatures go down, the trees keep the warmth inside." . . . "The dense trees of the rainforest protect plants and animals from the hot sun. . . "D. "These plants and trees are all very important parts of the ecosystem and the survival of rain forest animals." . . . "Without the protection of the trees, the temperature begins to rise." 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