Plot the graph of the linear equation. 3x-2y=6

Answers

Answer 1

Answer:

First point : (0, -3)

Second point : (2, 0)

Y-intercept : -3

Step-by-step explanation:

To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.

1.) 3x - 2y = 6

2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)

3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)

Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.

1.) 3x - 2(-3) = 6

2.) 3x + 6 = 6 (multiply (-2) and (-3))

3.)3x = 0 (subtract 6 on both sides using inverse operations)

4.) x = 0

Now you have your first point which is (0, -3)!

To get your last point, just substitute your y coordinate from the original equation to get x.

1.) 3x - 2(0) = 6

2.) 3x - 0 = 6

3.) 3x = 6

4.) x = 2

Then, substitute the x coordinate from above in the original equation to get the y coordinate.

1.) 3(2) - 2y = 6

2.) 6 - 2y = 6

3.) -2y = 0

4.) y = 0

Second coordinate : (2, 0)

I hope this explanation was helpful!


Related Questions

use benchmarks
3\5 + 3\17

Answers

3/15 Multiply both top and bottom by 17 to get 51/85
3/17 Multiply both top and bottom by 5 to get 15/85
Add
3/5+3/17
51/85+15/85
66/85

A package of 4 pairs of insulated costs ​$24.76. What is the unit price of the pairs of ​?

Answers

24.76 / 4 = 6.19

It will cost $6.19

I will mark brainlist please help!!

- dilation (lesson)

1) in a dilation of a figure, the distance between two consecutive vertices does not change

• true

• false


2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25


• J (2,1) K (2,2) L (1,2)

• J (-2,1) K (4,2) L (1,0.5)

• J (1,2) K (2,2) L (1,0.5)

Answers

I’ve never see the truth about coks so it’s 27 inches for sure if it was all the same as2,2 743+77482=747474

3p=19 helppppppppppppp​

Answers

Answer:

p= 6.33333333333

Step-by-step explanation:

U divide 19/3 to get the value of p

Hope this helps :)

Can u plz mark me as brainliest plz? :)

I really need this last question please anyone's help is very appreciated ​

Answers

Answer:

y = (5/2)x + 13/2

y = 3

y = -2x + 6

Step-by-step explanation:

The left part of the function which is a line sloping up to the right contains points (-3, -1) and (-1, 4) which can be read off the graph.

Since we have two points, we can find the equation.

You can use the slope formula given two points, but I will read it off the graph with rise and run.

Go from point (-3, -1) to point (-1, 4) by going up 5 (the rise) and going right 2 (the run).

slope = rise/run = 5/2

y = mx + b

y = (5/2)x + b

Use point (-1, 4) for x and y and solve for b.

4 = (5/2)(-1) + b

8/2 + 5/2 = b

b = 13/2

y = (5/2)x + 13/2

This is the first answer.

The middle part is a horizontal line in which every point has y-coordinate 3.

The equation is:

y = 3

This is the second answer.

The right part is the line that slopes down to the right. We can read two points easily. Use points (3, 0) and (2, 2).

Start at (3, 0). Go left 1 (run of -1) and up 2 (rise of 2). Now you are at point (2, 2).

slope = rise/run = 2/(-1) = -2

Now we find the y-intercept on the graph. After you get to (2, 2), keep moving with the same run and rise of the slope. Go left 1 and up 2 to point (1, 4). Go again left 1 and up 2 to (0, 6). Point (0, 6) is on the y-axis, so it is the y-intercept.

b = 6

y = mx + b

y = -2x + 6

This is the third answer.

2. The fifth term and eighth terms of a Gp are 80 and 640 respectively find

a) values of r and a
b) the first five terms

Answers

Answer:

a values of r and a that the answer

What is the distance between the points (−7, −3) and (−7, −9) ?

A 12 units

B 10 units

C 6 units

D 4 units

Answers

Answer:

C. 6 units

Step-by-step explanation:

Since the points have same x- coordinate of -7, the distance is the difference in y - coordinates:

d = -3 - (-9) = -3 + 9 = 6

Correct choice is C

(-7,-3)(-7,-9)

Distance

[tex]\\ \sf\longmapsto \sqrt{(-7+7)^2+(-9+3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-6)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36}[/tex]

[tex]\\ \sf\longmapsto 6[/tex]

what number is the opposite of - 5/12

Answers

Answer:

5/12

Step-by-step explanation:

opposite is on the other side of the number line. 5/12 is the answer

Help is appreciated! :)
(Question is in image below)

Answers

Answer:

92 more miles (D)

Step-by-step explanation:

I believe the answer is 92 more miles (d). So we know that Mr Klein is driving at a steady 60 miles per hour for 42 minutes. There are 60 minutes in an hour, so every minute they've driven a mile. Therefore, in 42 minutes, they've driven 42 hours. And then 134 - 42 is equal to 92, which is your final answer.

Hope this helped!! :D

PLEASE HELP THIS DUE AT 12:00 PM

Answers

Answer:

a.

Scale Factor = 2

Reason:

Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.

I held their horizontal sides and compared them.

in case of A, the side is 2.5 and in case of B it's 5.

so, 5 divided by 2.5 gets you 2, that is the scale factor.

b.

3, 5 (from left to right)

Solution:

[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]

this also means

[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]

Scale factor = 2

Using this we'll get the answer to the question marks

The corresponding side to 1.5 is the vertical one in B.

=> corresponding side in B = 2 × 1.5

= 3

(this is the first question mark in order from left to right)

The corresponding side to 2.5 is:

= 2 × 2.5

= 5

c.

53° and 37° (from top to bottom)

Solution:

Scaled shapes have the same angle measures.

Reason:

When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.

A coin is flipped 80
times. It lands tails 47
times. What is the Probability

Answers

1/2 or 50% because each flip of a coin is independent from the last and a fair coin has an equal probably of landing on either side.

Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound, and
almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario
use for the mixture to cost $6.50 per pound to make?

Answers

Answer:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds.  

Step-by-step explanation:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9

cost of almond nuts per pound=$5.25

cost of the mixture per pound=$6.5

total pounds of the mixture to be made=12

let the pounds of macadamia nuts=x

pounds of almond nuts=y

total pounds of nuts=x+y= 12

x + y = 12(1)

9x +5,25y = 6.5(x+y)

9x+5.25y=6.5*12

9x+5.25y=78(2)

solving (1) and (2)

x=4 y=8

Write the equation of a line that
goes through the points (3,7) and
(-3,5).

Answers

Answer:

[tex]y = mx + c \\ 7 = 3m + c \\ 5= - 3m + c \\ 2c = 12 \\ c = 6 \\ 7 = 3m + 6 \\ 3m = 1 \\ m = \frac{1}{3} \\ y = \frac{1}{3} x + 6[/tex]

The sum of 2 and w is less than 21

Answers

2+w<21

-2     -2

w<19

w is 18 and under.

Evaluate the function for
f(x) = x + 3 and g(x) = x2 − 2.
(f − g)(8t)=

Answers

Answer:

f(0)=0

Step-by-step explanation:

6. What is the value of x in the solution to the systems of linear equations shown below?
2x - 2y+z=3
5y-z= -31
x+ 3y + 2z = -21

Answers

Step-by-step explanation:

[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]

Answer:

x= -5

Step-by-step explanation:

5y-z= -31, add z and 31 to both sides

5y+31 = z, substitute z in the other two given equations

2x - 2y+z=3

2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides

2x+3y = -28

x+ 3y + 2z = -21

x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis

x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides

x+13y = -83

Now we have 2 equations  with 2 variables x and y to solve

2x+3y = -28

x+13y = -83

Because we need to find x then from the first equation we can write that

3y = -2x-28, subtract 2x from both sides and the divide both sides by 3

y = (-2x-28)/3, substitute this in the second equation

x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis

(3x/3)+[(-26x - 364) /3= -83, find the common denominator

3x+[(-26x - 364) = -83*3 , cross multiply

3x -26x = -249 +364, add 364 to both sides

- 23x = 115, divide both sides by (-23)

x= -5

Jackson bought an ultra-slim Television. The screen measures 13 cm in length and 12 cm in width. Television screen sizes are decided by the length of the diagonal. What is size of this screen? Round your answer to the nearest whole number.

Answers

Answer:

18 cm

Step-by-step explanation:

You can find the length of the diagonal by using the Pythagorean theorem.

a^2 + b^2 = c^2

12^2 + b^2 = c^2

144 + 169 = c^2

c^2 = 313

c = √313

c = 17.6918...

Answer: 18 cm

please help me out
find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

Answers

Answer:

(-19,15)

Step-by-step explanation:

What is 786 rounded to the nearest ten?explain your thinking

Answers

If we found it up it will round up the the color purple because red and blue makes purple

Answer:

786 rounded to the nearest ten is 770.

Step-by-step explanation:

To round to the nearest 10, look at the units digit. if the units digit is 5 or more, round up. If the units digit is 4 or less, round down.

Anybody? need help asap

Answers

Answer:

x = -1

Step-by-step explanation:

5x + 3 -2x = 2(x + 1) >>> Simplify by combining terms

3x + 3 = 2x + 2 >>> Subtract 2x and 3 from both sides

x = -1

4x - 5 =-11 + 3x


Pls help I need the answer fast

Answers

Answer:

x = -6

Step-by-step explanation:

You want to get x to only one side:

4x - 5 = -11 + 3x

-3x               -3x

x - 5 = -11

Now move 5 to the right side:

x - 5 = -11

   +5   +5

x = -6

Help me
Help me
Help me

Answers

Answer:

For the first one is 75 and 30 looks on a calculator add 75+75+30=180

IM MARKING BRAINLEST IF U HELP PLEASE!!!

Answers

Angle A = 133 degrees

47 degrees and angle A are supplementary angles/a linear pair, which means that they add up to 180.

180 - 47 = 133

Angle B = 15 degrees

The sum of the interior angles in a triangle is 180.

a + 32 + b = 180

133 + 32 + b = 180

b = 15

Angle D = 58 degrees

32 degrees and angle D are complementary angles, which means that they add up to 90.

90 - 32 = 58

Angle C = 75 degrees

The sum of the interior angles in a triangle is 180.

c + d + 47 = 180

c + 58 + 47 = 180

c = 75

Hope this helps!! :)


Help please 6th grade math

Answers

Answer:

You would just plot it on the 1

the absolute value of positive 1=1

Graph the point (5,6)

Answers

Answer:

(x,y)

Step-by-step explanation:

On point 0 you would go right 5 times and up 6

I don’t have any paper with me to show although all you have to do is start at the origin (0,0) then go right 5 then up 6. Please give me a brainliest if you found this helpful:)

What is the solution to the following inequality?
|3x -8|< 2
Answers below

Answers

Answer:

Step-by-step explanation:

B

Just #19. I don’t know how to solve. Please help me solve. I need steps with the numbers. I will give brainliest.

Answers

Answer:

In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4

Step-by-step explanation:

If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.

Alex is making string bracelets for his friends he has 5 meters of string to make each bracelet. How many bracelets can Alex make?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 bracelets

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

How do you solve f(x)=7

Answers

Answer:

7

Step-by-step explanation:

f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.

Answer: It’s 7
Evidence:
F(x) is nothing but y just in a different form so it’s basically y equals 7

Dan şi Andrei au inventat Jocul rotunjirii" și au hotărât ca fiecare să scrie cinci numere care se rotunjesc la zeci de mii prin 70 000. Copiii au stabilit însă și următoarele reguli: a. numerele scrise de Dan să aibă pe locul zecilor de mii o cifră mai mică decât 7; b. numerele scrise de Andrei să aibă pe locul zecilor de mii cifra 7; Scrie și tu câte şase numere care se rotunjesc la 70 000 și respectă regulile stabilite de băieţi.​

Answers

I would actually need you to translate this into english I I would be able to answer for you :)

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