which equation represents a line which is parallel to the line x-3y=15?

Which Equation Represents A Line Which Is Parallel To The Line X-3y=15?

Answers

Answer 1

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:

[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]

Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].

[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.

Answer:

[tex]y = \frac{1}{3}x + 4\\[/tex]


Related Questions

What are the angles x?

Answers

Answer:

TOP LEFT TRIANGLE:  x=28°

BOTTOM LEFT TRIANGLE:  x=90°

TRIANGLE ON THE RIGHT:  x=34°

Step-by-step explanation:

TOP: the triangle on the right has 90 and 39.  That makes the third one 51. It’s supplement is 129.  129+23=152. 180-152=28. X=28°

BOTTOM: 180-119=61.  61+29=90.  180-90=90.  X=90°

RIGHT: right triangle has 90 and 70.  90+70=160. 180-160=20

180-70-41-15-20=34°

5) The price of a gallon of gas was $4.00. The price went up by 10% and then went down by 10%. Antonio thinks that since the price both rises and falls by 10%, the price of a gallon of gas is back to $4.00. His teacher tells him that he is incorrect. Explain why Antonio's reasoning is incorrect. (1 point) Determine the price of a gallon of gas after the 10% rise and 10% fall. (1 point) Total of 2 points. *

Answers

Answer:

Antonio is wrong because 10% of 4.00 is .40 and if the price goes up then the price is $4.40 and since the price is going down by ten percent, ten percent if $4.40 is .44 and therefore the price is $3.96.

The width of a rectangle is twice the length. The perimeter is 102 feet. Find the dimensions .

Answers

Answer:

he formula for perimeter is the sum of

twice the width and twice the length, so

the formula would be:

Perimeter = 2W + 2L

 

In this problem:

Width is unknown (x)

Length is twice the width (2x)

and Perimeter = 60, so to set it up:

102= 2x + 2(2x)

102= 2x + 4x

102 = 6x

x = 10

Step-by-step explanation:

I DONT KNOW MUCH ABOUT THIS TOPIC . I HOPE IT HELPS

Which unit of measurement would be the most appropriate to measure a bottle of nail polish

Answers

Answer:

milliliter

Step-by-step explanation:

Most of nail polish have their measurement in ml

Can y’all help me in this please

Answers

Answer:

this may be wrong but i think its p

Step-by-step explanation:

Differentiate. y = (x2 - 2x + 6) et O (2x - 2) ex (x2 + 4x + 4) ex O (x2 + 4) ex + 4x + 6​

Answers

Answer:

y' = (x² + 4)eˣ

Step-by-step explanation:

Power rule: y' = f'(x)g(x) + f(x)g'(x)

[tex]\frac{d}{dx} [e^x]=e^x[/tex]

Step 1: Write equation

y = (x² - 2x + 6)eˣ

Step 2: Differentiate

Power rule: y' = eˣ(2x - 2) + eˣ(x² - 2x + 6)Factor out eˣ: y' = eˣ[2x - 2 + x² - 2x + 6]Combine like terms: y' = eˣ(x² + 4)Rewrite: y' = (x² + 4)eˣ

Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28

Answers

Answer:

espera y termino y te ayudo vale que me falta poco vale

The answers is 2 wholes and 1 half.

(6-x3)5=45 Please help

Answers

the answer is x equals -1

There is triangle one of the angles is 101 degrees and the other is 38 workout x

Answers

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

[tex]101 + 38 + x = 180[/tex]

[tex]139 + x = 180[/tex]

[tex]x = 180 - 139[/tex]

[tex] = x = 41[/tex]

[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]

On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.

Answers

Answer:

$17.49

Step-by-step explanation: You need to subtract $30.39 by $12.90

$30.39

-$12.90

First, its 9 - 0 which will = 9.

Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.

So 13 - 9 = 4.

Now you have 9 - 2. Which will = 7.

Last, its 2 - 1 which will = 1.

so after all of that you get: $17.49

Answer:

Step-by-step explanation:

To find the balance, take the old balance and subtract the amount spent on groceries.  next u have to minues -12.90 from 30.39 =17.49

Andrew drew a square with each side measuring 3 inches. Lindsay drew a triangle with each side measuring 4 inches. Which shape has a greater​ perimeter? Write an equation to help explain your answer.

Answers

Answer:

they have the same perimeter.

Step-by-step explanation:

3in × 4 = 12in

4 in × 3 = 12in

the graph shows the total number of inches of snow that fell in a town in february over ten year period. what is the approximate probability that year 11 will have more that 15 inches of snow?

Answers

Answer:

0.6 because its 58% chance which is 0.58 which rounds to 0.6

Step-by-step explanation:

Given 36 − 9, simplify the expression using the Difference of Squares.

Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.

36 − 9

62 − 32

This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.

Answers

Answer:

See below

Step-by-step explanation:

Using formula

x^2 - y^2 = (x + y)(x - y)

Applying to given expression

36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=27

What's the GCF of 32a, and 48b

Answers

The GCF of both numbers is 16
16 is the gcf of 32 and 48

Find the product of (18k+ 2m)(m + k)

Answers

Answer:

18k^2+2m^2+20km

Step-by-step explanation:

If 4x + 3x - 2(x + 5) = -9, then x = ?
A-12
B
C
Is
D
213
E
"15

Answers

X = 4 because 4 + 5 =9

Answer:

the answer is 5

Step-by-step explanation:

1. first you need to take -2 and use the distributive property on (x + 5). when you do that you should get -2x -10.

2. 2nd then your equation should look like 4x + 3x -2x -10 = -9.  so after you get this equation you then add 4x + 3x. you should get 7x and your equation should look like 7x -2x -10 = -9.

3. 3rd the next step is to take 7x and subtract it from -2x. when you get dont doing this you should get 5x and then your equation will look like 5x -10 = -9.

4. 4th now we need to get all the normal numbers to one side. so you will add a positive 10 to the negative 10. when you do that the numbers cancel out. you have to do this to both sides. so you will add a positive 10 to the negative 9 and you should get positive 1. when you complete this step your equation should look like 5x = 1.

5. 5th you take 5x and divide it by 1 and you should get 5. 5 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

I need help plz with this question

Answers

I’m not sure if this is right cuz I googled it lol but google is telling me

1/4 & 2/9 are perfect squares and the rest aren’t

a: -20
b:-8
c:8
d:48
¿?

Answers

Answer:

the correct answer is -8

Step-by-step explanation:

to find this you are going to substitute 8 in for x in the equation

27 - 4x + -7 ( 1 + 3x)

Answers

Answer:

-25x + 20

Step-by-step explanation:

I am going to assume by the lack of instructions, you wanted this simplified. We need to start by combining the -7 into the two terms in the paranthesis:

27 -4x -7 -21x

We can now combine like terms to simplify:

-25x + 20

27-4x+-7(1+3x)

27 - 4x - 7(1+3x)

27 - 4x - 7 - 21x

-25x + 20

A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:

Day Average (LB) Day Average (LB)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8

Required:
a. Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
b. If three standard deviations ate used in the chart, how do these values change? Why?

Answers

Answer and explanation:

Please find attached answer and explanation

What is the domain of the function in this table?

X | Y
1 | 2
2 | 4
3 | 3
4 | 2

CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}


PLEASE HELP URGENT

Answers

Answer: B. {1, 2, 3, 4}

Step-by-step explanation:

The domain is the set of input values (in other words, x values)

The midpoint of xy is located at the origin

Answers

Answer:

Is there supposed to be an image?

Step-by-step explanation:

In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)

The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.

(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)

(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)

Answers

Answer:

A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]

B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

We are given that The odds of event occurring are 1:6.

So, Number of successful events = 1

Number of unsuccessful events = 6

So, Total events = 6+1=7

a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]

The probability that the event will occur[tex]=\frac{1}{7}[/tex]

b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]

The probability that the event will not occur = [tex]\frac{6}{7}[/tex]

What is 471,284 rounded to the nearest
thousands

Answers

Answer:

471,000

Step-by-step explanation:

More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two

Answers

Answer:

21

Step-by-step explanation:

can someone please answer both

Answers

Answer:

2.16•x is up ur function

21. 6 feet in 10 minutes

Step-by-step explanation:

when u multiply by ten u move the decimal to the right one place

Answer:

this is what u need .........

The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$10 per ticket to the planetarium. The second day they paid $90 for transportation plus $7 per ticket to
the geology museum. Write an expression to represent the total cost in dollars for two days for the
n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by

Answers

Answer:

(50+10n)+(90+7n)

HELP PLEASE ! find the value of X the diagram is not to scale.

Answers

Answer:

20 + 4x = 180

Step-by-step explanation:

180-20= 160

160=4x

160/4= 40= x

Which table has a constant of proportionality between y and x of 0.3

Answers

when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality  is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.

Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses

Answers

Answer:

( 1.5, 0)

Step-by-step explanation:

1. Find the coordinates ; in this case (7,-2) and (-4, 2)

2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)

3. ( 7 +  -4 ÷2) = 1.5    And    ( -2 + 2 ÷ 2) = 0

4. Therefore, the midpoint is ( 1.5, 0 )

                                         

Other Questions
The Populist Party called for "free silver" to help raise prices for farm goods. , called for "free silver" to help raise prices for farm goods. , , excluded African Americans from membership. excluded African Americans from membership. supported private ownership of railroads. supported private ownership of railroads. divided northern and southern urban workers. 20 POINTS!! HELP ME PLZZ I NEED HELP WITH THIS!! Which two ratios form a proportion?3:4 and 6:123:4 and 9:153:4 and 12:183:4 and 15:20 Think about what you know about competitions, monopolies, and trusts. Was business reform necessary? Check all of the boxes that you agree with. Having strong businesses and industries is good for the economy. A company should have the right to form a monopoly. Competition between companies is good for people who buy goods. The government has the right to put limits on what businesses can and cannot do, even if those limits lower businesses' profits. HELP! SO CONFUSED!! WORTH 25 POINTS!What is a similarity between the Mayan and Aryan civilizations? They both did not believe in human sacrifice to the gods. They both were at war with the Harappans. They both worshipped eagles. They both had class-based societies. True or false? Density is equal to the mass of an object divided by its volume. Solve for x.X + 5 = 2xOX=3OX=-3OX=-5Ox=5 Margret needs to compare the types of themes from the four books in her American literature class. She should use A. Time lineB. Chart C. Either of these D. Neither of these if atom X has 6 protons,6 neutrons and 6 electrons and aton Z has 6 protons,7neutrons and 6 electrons,atom x and atom z are isotopes of the element The Last Dog How was Brock raised as a child? there are 48 newborn girls in a hospital nursery. For every 3 girls, there are 2 boys. How many newborn babies are in the nursery? who was Henry clay and what was his compromise? What are the problems of Mother Earth? What was one factor that led to the population increase during theNeolithic Revolution?The rise of religion.The creation of government.O The food surplus.The rise of trade. What is the correct equation to find the value of X? Please help Ill do anything nowwwe The given measurement of a surface Area of a sphere is 196.Find it's radius(thanks in advance) Please help me with some questions about the movie "The Book of Life"(The children's animated movie about Day of the Dead)1.) What is the date when the movie starts?2.) Who returns to the earthly world on the Day of the Dead?3.) Why does Xibalba have to live in the Land of the Forgotten?4.) What happened to Joaquin's father? The government of a country wants to know how much inbound tourism (number of tourists visiting from other countries) is contributing to the countrys economic prosperity. The research firm hired to conduct this study surveys 10,000 residents on their favorite spots to visit in the country and how much money they spend on leisurely activitiesa. How could the use of a sample like this threaten the value of the studys outcomes?b. How might the flawed sample affect the usefulness of the results? Why couldn't the Mars Science Laboratory land using airbags to bounce to the Martian surface from a parachute?A. The presence of liquid water made it necessary to land the rover on its wheels.B. Scientists and engineers were concerned that the airbags could become tangled in the MSL.C. Engineers were worried the airbags might deflate too soon.D. The heavier weight of the MSL made airbag landing technology impractical.