Write the slope-intercept form of the equation of the line parallel to the
graph of 2x + y = 5 that passes through (0, 1).

Answers

Answer 1

Answer:

          y = -2x + 1

Step-by-step explanation:

2x + y = 5       ← given line

2x + y = C      ← any parallel line

The line passing through (0, 1), therefore:

2×0 + 1 = C

C = 1

2x + y = 1    ←  the parallel line that passes through (0, 1)

To change it to slope-intercept form we just need to subtract 2x from both sides:

y = -2x + 1


Related Questions

answer this plssssssss no wrong answers

Answers

Answer:

b

Step-by-step explanation:

just trying to help but don't know if right

A rectangular painting has an area of 420 square inches. If the length is (2x + 5) inches and the width is (x) inches, then what is the value of x? Use completing-the-square and round the value of x to the nearest tenth. (Hint: You may find 2 solutions, but you only need the positive solution because the length and width must be positive values)

Answers

Answer:

12.1 inches

Step-by-step explanation:

Since the length of the rectangular painting is (2x + 5) inches and its width is x inches, it area A = (2x + 5)x square inches = 2x² + 5x.

Also, A = 420 square inches. So,

2x² + 5x = 420

2x² + 5x - 420 = 0

diving through by 2, we have

2x²/2 + 5x/2 - 420/2 = 0/2

x² + 5x/2 - 210 = 0

adding halt the coefficient of x squared to both sides, that is (5/2 ÷ 2)² = (5/4)² to both sides, we have

x² + 5x/2 + (5/4)² - 210 = 0 + (5/4)²

Simplifying, we have

(x + 5/2)² - 210 = 25/16

adding 210 to both sides, we have

(x + 5/2)² - 210 + 210 = 25/16 + 210

(x + 5/2)² = 25/16 + 210

(x + 5/2)² = (25 + 3360)/16

(x + 5/2)² = 3385/16

taking square root of both sides, we have

√(x + 5/2)² = ±√(3385/16)

(x + 5/2) = ±√3385/4

(x + 5/2) = ±58.18075/4

(x + 5/2) = ±14.55

x = -5/2 ±14.55

x = -2.5 ±14.55

x = -2.5 - 14.55 or -2.5 + 14.55

x = - 17.05 or 12.05

Since x = width and it cannot be negative, we choose the positive answer.  So, x = 12.05 inches ≅ 12.1 inches (to the nearest tenth)

What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?

Answers

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

Help me please help me please help me please

Answers

Answer:

your answer is

1 - o

16- 2

20 - 5

24 - 4

Step-by-step explanation:

LOL i also have a acer laptop but its paired with windows 10

2.
Write the slope-intercept form of the equation for the line.


A. y = [tex]\frac{1}{2}[/tex]x + [tex]\frac{3}{10}[/tex]

B. y = [tex]-\frac{10}{3}[/tex]x + [tex]\frac{1}{2}[/tex]

C. y = [tex]\frac{3}{10}[/tex]x + [tex]\frac{1}{2}[/tex]

D. y = [tex]-\frac{3}{10}[/tex]x + [tex]\frac{1}{2}[/tex]

Answers

Answer:

i think the answer is letter b or letter d

Step-by-step explanation:

Camille buys a cake for $24.99 . She also buys 12 brownies. Each brownie costs the same amount. She spends $39.99 on the cake and the brownies. Camille finds the cost of each brownie by calculating (39.99 - 24.99) *12 . Tanya finds the cost of each brownie by solving the equation $39.99 + 12b = 24.99 , where b is the cost of each brownie. Which approach uses the sequence of operations necessary to find the cost of each brownie: Camille’s, Tanya’s, both, or neither?

Answers

Answer:

hi

didn't get it

Step-by-step explanation:

.....

....

Answer:

sorry

Step-by-step explanation:

image down below plz and thx

Answers

(64) is the answering

DUE RIGHT NOW!!!!! PLEASE HELP!!!!!

Answers

Gfurknegwuwn nakwubwkw. Jahsken

Qual a resposta da seguinte equação (x-3)(x-1)=0

Answers

Answer:

(x-3)(x-1) =0

x-3=0 or x-1=0

x=3 or x=1

Help ..................

Answers

Pythagorean Theorm Unit? I got you!

It would be C, about 63.07

need answers ASAP if you can help! Please and Thankyou

Answers

Answer:

X = 78, Z = 29, and Y = 102

Step-by-step explanation:

X = 78. 43 + 59 = 102. There has to be 180 degrees in a triangle. So subtract 180 by 102.

Z = 29. Think of the whole triangle for this one. 43 + 49 + 59 = 151. 180 - 151 = 29.

Y = 102. Plug in the value of Z. 49 + 29 = 78. 180 - 78 = 102.

Hope that helps!

Which measure is of an angle that is coterminal with a 135° angle?
O 45°
O 90°
O 495°
O 585°

Answers

Answer:

Step-by-step explanation:

495. I just took it 100%

The measure is of an angle that is coterminal with a 135° angle is,

⇒ 495°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

The angle is,

⇒ 135°

Now, To find the coterminal angle add 360 to the given angle as;

⇒ 360 + 135

⇒ 495°

Thus, We get;

Coterminal angle = 495 degrees

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

John buys a bag containing 3 pounds of flour. He uses 12 ounces of the flour for a craft project. How much flour is left in the bag?

PLEASE ASAP

Answers

Answer:

36 ounces

Step-by-step explanation:

3 pounds is 48 ounces - 12 pounds used gives you 36 ounces which is 2 pounds and a quarter ( 2 1/4)

Which expression has the greatest value?

Answers

Answer:

the last one

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] and  [tex]16^{3/2}[/tex] expressions have the greatest value.

What is square root and cube root of a number?

Square root of a number results a number that when square, gives us the previous number.

Similarly, cube root of a number results a number that when cubed, gives us the previous number.

Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64

[tex]16^{3/2}[/tex] = 4³ = 64

[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16

√(16²) = √(16 × 16) = 16

Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.

Learn more about square root and cube root of a number here: https://brainly.com/question/9664917

#Tag #SPJ2

please make it correct

Answers

Answer:

"The drone is at the surface of the water at both 4 and 7 seconds into the observation."

Have a good day! :>

Answer:

B

Step-by-step explanation:

0 = t^2 - 11t + 28

0 = (t-4) x (t-7)

so it is at the surface at seconds 4, 7

The base and height of a triangle with base
7 in. and height 3 in. are both doubled.

Answers

Incomplete question.

by (2x^3 - x^2 - 24x + 12) / (2x - 1)
A x^2-1
B x^2-12
C 2x-1
D x^2-1/2x-12

Answers

Answer:

B

Step-by-step explanation:

(2x^3 - x^2 - 24x + 12) / (2x - 1) = x^2-12

(use long polynomial division)

Answer:

[tex]\boxed {\sf B.\:x^2-12}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{2x^3-x^2-24x+12}{2x-1}[/tex]

Factor the expressions that aren't already factored:

[tex]\sf \cfrac{(2x-1)(x^2-12)}{2x-1}[/tex]

Cancel out 2x-1 in both sides numerator and denominator:

[tex]\sf x^2-12[/tex]

___________________________

-5(y + 5) > 45

Answers y > -14

y > 4

Answers

Answer: your correct  but the answer should be y<-14

Step-by-step explanation: i dont get the y>4 but if you solve -5(y + 5) > 45 you should get y<-14

hope this helped :)

Help me please, what are the new points??

Answers

Answer:

Step-by-step explanation:

Addiction is a journey that leaves you feeling stranded and alone. Come home to a substance-free lifestyle at New Points™. New Points™ is one of the world's first sober-living communities for men and women created specifically for the recovery process.

What is the solution to the equation below?
50+4= 2(C-5)
I need help I don’t know how to solve this problem!

Answers

Answer:

c=28

Step-by-step explanation:

50-4=2(c-5)

apply distributive property

50-4=2c-10

now simplify

46=2c-10

56=2c

28=c

14. Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?
A. log6 = log2 x log3 = 0.3010 x 0.4771
B. log6 = log2 + log3 = 0.3010 + 0.4771
C. log6 = log2 – log3 = 0.3010 – 0.4771
D. log6 = log2 = log3 = 0.3010 = 0.4771

Answers

Answer:

B. log6 = log2 + log3 = 0.3010 + 0.4771

Step-by-step explanation:

log 2 = 0.3010

log 3 = 0.4771

log 6 = ?

6 = 3 * 2

log 6 = log (3 * 2)

According to log rules;

log (a * b) = log(a) + log (b)

This means;

log 6 = log 3 + log 2

Inserting the values they represent;

log 6 =  log 3 + log 2 =  0.4771  + 0.3010

Correct option:

B. log6 = log2 + log3 = 0.3010 + 0.4771

which expression eqaul 9 when x = 4 and y = 1/3

Answers

Answer:

it is 9

Step-by-step explanation:

you add the 4 and times 3

Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.

Answers

Respuesta:

183x + 356y = 3763

Explicación paso a paso:

Dejar :

Número de kilos de papel = x; número de kilos de cartón = y

Kilo de papel = 183; kilo de cartón = 356

Cantidad total ganada = 3763

(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)

(183 * x) + (356 * y) = 3763

183x + 356y = 3763

The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.

Which expression represents the distance around the composite figure

A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx​

Answers

Answer:

10x + 2pix

Step-by-step explanation:

What is the surface area of this triangular pyramid?

Answers

Answer:

48.25

Step-by-step explanation:

This is because when finding the area of a triangle it is known as base times height then divide by 2 and since the base is a triangle, multiply 4.3 times 5 which is 21.5 and divide by 2 which is 10.75 and for the top since its also a triangle multply 5x5 which is 25 divide by 2 whicih is 12.5, but there is 3 of them so multiply by 3 and you get 37.5, then add 37.5+10.75 to get 48.25 cm^2

Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared

Answers

Answer:

4. A = 1029 cm²

Steps:

A = (35×21)+(21+2×3.5)×21/2

A = 735 + (21+7)×21/2

A = 735 + 28×21/2

A = 735 + 588/2

A = 735 + 294

A = 1029 cm²

substitution 2x - 3y + = -45, x + 6y = 45

Answers

Answer:

y = 9

x = -9

Step-by-step explanation:

2x - 3y + = -45

x + 6y = 45,   x = 45 - 6y

substitute for x:

2(45 - 6y) - 3y = -45

90 - 12y - 3y = -45

combine like terms:

90 - 15y = -45

15y = 135

divide both sides of the equation by 15:

y = 9

x = 45 - 6(9) = -9

A standard deck of playing cards contains 52 cards, equally divided among four suits(hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a kind, and an ace.

If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a kind?


A) [tex]\frac{1}{17}[/tex]

B) [tex]\frac{16}{51}[/tex]

C) [tex]\frac{4}{17}[/tex]

D) [tex]\frac{5}{17}[/tex]

Answers

Answer:

4/17

Step-by-step explanation:

what is the slope of this line?

Answers

Answer:

-1/200

Step-by-step explanation:

To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.

Find the slope of the line through the points (-2, 1) and (0,4).​

Answers

Answer:

-3/2 is the answer

y2-y1

x2-x1

4-1=3

0-2=-2

Other Questions
Lighting a match is easy when the match is quickly rubbed across a piece ofsandpaper. Which best describes the sequence of energy transformations that takeplace to light a match? Light energy to heat energyHeat and light energy tomechanical energyChemical energy tomechanical energy to lightenergy to chemical energyMechanical energy to heatenergy and then chemicalenergy to light and heatenergy what kingdom should this be placed in? What does it mean when a country with a lot of resources I need help ASAP Im confused with this problem Which of the following statements is not true?a.Nonverbal communication is linguistic.b.Nonverbal communication relies on multiple channels.c.Nonverbal communication is continuous.d.Nonverbal communication is ambiguous. Hurry please!!!!!Without the Elements and Principles of Design, art does not have an overallor sense of completion.A. selling pointB. meaningC. messageD. flow In a sole proprietorship, __________ receive all of the profits.A.banksB.ownersC.partnersD.investors Which postulate, if any can be used to prove the triangles congruent Researchers studying the sticky droplets found on spider webs will measure the widths of a random sample of droplets. From the sample, the researchers will construct a 95 percent confidence interval to estimate the mean width of all such droplets. Which of the following statements about a 95 percent confidence interval for the mean width is correct?A. The interval will be narrower if the researchers increase the level of confidence to 99 percent.B. The interval will be narrower if the researchers increase the sample size of droplets.C. The interval will be wider if the researchers decrease the level of confidence to 90 percent.D. The interval will be wider if the researchers increase the sample size of droplets.E. The width of the interval will not be affected if the researchers increase or decrease the number of droplets in the sample. HELP PLEASEEEE.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! B. DIRECTIONS: Read each pair of statements. Identify the statement that contains figurative language. Write the letter of the correct answer choice on the line.1. ____ a. Traffic was bad on Route 101, causing delays.b. Route 101 was a parking lot because of traffic.2. ____ a. The wind mercilessly picked up and flung the old oak tree.b. A strong wind took down the old oak tree.3. ____ a. Eric was a bear before his morning coffee.b. Eric was grumpy before his morning coffee.4. ____ a. While mountain biking, Molly easily made it over the jump.b. While mountain biking, Molly flew over the jump like an eagle.Please help me its due in an hour can you help me please Describe two models that show how earth and the sun move in space relative to each other. Please help me this is for Sociology 2. What are the three types of norms? Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary. 1. Presenta un resumen explicando los cambios experimentados por el hombre durante la Prehistoria. Recuerda indicar como cada uno de ellos impact la manera en que vivan. Please need help thank Which of the following is equivalent to (a + b/2) ^2? 2a + 2* 4/b2a + 4/b + 4/b^2 a^2 + 4ab + 4b^2a^2 + 4a/b + 4b^2a^2 + 4a/b + 4/b^2 Pls help its due soon and Im failing :( Read the excerpt from Julius Caesar, act 2, scene 4.PORTIA. I prithee, boy, run to the Senate House;Stay not to answer me, but get thee gone.Why dost thou stay?LUCIUS. To know my errand, madam.PORTIA. I would have had thee there and here again5Ere I can tell thee what thou shouldst do there.[Aside] O constancy, be strong upon my side;Set a huge mountain 'tween my heart and tongue.I have a mans mind, but a womans might.How hard it is for women to keep counsel!10[To LUCIUS] Art thou here yet?LUCIUS. Madam, what should I do?Run to the Capitol, and nothing else?And so return to you, and nothing else?PORTIA. Yes, bring me word, boy, if thy lord look well,For he went sickly forth; and take good note15What Caesar doth, what suitors press to him.Hark, boy, what noise is that?LUCIUS. I hear none, madam.Which conclusion does this excerpt best support?Portia knows of Brutus plan and is having a difficult time waiting for news.Portia is still ignorant about Brutuss plans.Portia is a spy for Caesar and his followers.Portia is concerned about the illness Brutus reported.