Activity 1: rewrite me!

1. write the equation 2x+3y=12into y=mx+b
Solution
2x+3y=12
2x + (____) + 3y = 12+(-2x)
(____)3y=(-2x+12)(____)

y= - ⅔x +4

Given:


Simplified as y= mx+ b

2.write the linear equation y= -2x -1 into Ax + By = C.

solution
y = -2x-1
y +(____) = - 2x + (___) - 1

2x + y = -1

Given:



Questions:
1. how did you write the linear equation y = mx + b to the form Ax + By = C?

2. how did you write Ax + By = C?

3. what mathematical concepts or principles did you apply to write each linear equation to standard form?
to y=mx+b form?

brainlest pag Tama ang sagot plus eh fo-follow ko na din.
nonesen report​

Activity 1: Rewrite Me!1. Write The Equation 2x+3y=12into Y=mx+bSolution 2x+3y=122x + (____) + 3y = 12+(-2x)

Answers

Answer 1

1) The equation 2y + 3x = 12 in the y = mx + b form is [tex]y = -\frac{2}{3} x + 4[/tex]

2) The linear equation y = -2x - 1 in the Ax + By = C form is 2x  +  y  =  -1

The point-slope form of the equation of a line is y = mx + b

where m represents the slope

b represents the y-intercept

The given equation is:

2x  +  3y  =  12    (Given)

Subtract 2x from both sides

2x  +  (-2x)  +  3y   =  12  +  (-2x)

3y   =  12 - 2x  (Equality property of addition)

3y   =  -2x  +  12 (Commutative property of addition)

Divide both sides by 3

[tex]\frac{3y}{3} = -\frac{2}{3} x + \frac{12}{3} \\\\y = -\frac{2}{3} x + 4[/tex](Equality property of division)

2) Write the linear y = -2x - 1 into Ax + By = C

y   =   -2x  -  1  (Given)

Add 2x to both sides

y  +  2x  =  -2x  + 2x - 1 (Equality property of addition)

y   +  2x   =  -1

2x   +   y   =   -1   (Commutative property of addition)

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Related Questions

Write the equation for a line parallel to y = -2x+2 through (0,5)

Answers

Answer:

y=-1x+2?

Step-by-step explanation:


1) Hot dogs are sold in packs of 10 and hot dog buns are sold in packs of 8. Tommy wants
to know the least number of packs of hot dogs and buns he needs to buy so that he does not
have any left over.
) Complete the table.

Answers

Answer:

10, 20,30, 40, 50

Step-by-step explanation:

You times them all by 10 for example: 1x10=10 2x10=20 3x10= 30 4x10=40 and 5x10=50.

If we buy four packs of hot dogs and five packs of buns then we don't have any left over.

What is Least common multiple?

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For example: Take two integers, 2 and 3.

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 ….

Therefore, 6 is the least common multiple of 2 and 3.

Given:

Packs          1       2     3      4       5

Hot Dogs   10     20   30   40    50

Bun             8      16     24   32    40

Also, LCM(10, 8)

10= 2 x 5

8= 2 x 2 x 2

So, LCM(10, 8)= 2 x 2 x 2 x 5 = 40

Hence, If we buy four packs of hot dogs and five packs of buns then we don't have any left over.

Learn more about LCM here:

https://brainly.com/question/20739723

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Select all the points of intersection between the graphs
of the functions f(x) = (x + 5)(x - 2) and
g(x) = (2x + 1)(x - 2).

Answers

Answer:

f(x)=(x+5)(x-2)

g(x)=(2x+1)(x-2).

x=10x+2

x=3x-2

x=12×+1

x=13

A function is defined as a relation between a set of inputs having one output each.

The point of intersection between the function f(x) and g(x) is x = 4.

What is a function?

A function is defined as a relation between a set of inputs having one output each.

We have,

f(x) = ( x + 5 ) ( x - 2 )

g(x) = ( 2x + 1 ) ( x - 2 )

To find the points of intersection between the two functions we must equal the function.

f(x) = g(x)

( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )

( x - 2 ) gets canceled

x + 5 = 2x + 1

5 - 1 = 2x - x

4 = x

x = 4

This means that at x =4 the function f(x) and g(x) intersect.

we can see that at x = 4 both the functions have the same value.

f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18

g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )

      = 9 x 2

      = 18

Thus the point of intersection between the function f(x) and g(x) is x = 4.

Learn more about functions here:

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Show all work and express your answers in scientific notation.

2.4 hours = ____________ seconds

Answers

Answer:

8640

Step-by-step explanation:

Take 2.4 hours, And 1 hour is 60 minutes, and 1 minute has 60 seconds, so 1 hour has 3600 seconds, Do one more hour and you have 7200 seconds, Now you need to add another .4 hours, .4 hours is equal to 40 minutes, so how many seconds are in 40 minutes? 1440 seconds are in 40 minutes, so add 7200 and 1440 and you get 8640.

Given (x – 7)2 = 36, select the values of x.
---x = 13
---x = 1
x = –29
x = 42

Given (x – 1)2 = 50, select the values of x.
x = –49
x = 51
---x=1+5 root 2
---x=1-5 root 2

Answers

For this first one it's:

A. ---x = 13

B. ---x = 1

Second one:

C. ---x=1+5 root 2

D. ---x=1-5 root 2

Which expression is equivalent to 0.75x?
A) 1 - 0.25%
B) 0.75x - X
CX + 0.75
D x - 0.25x

Answers

Answer:

C

Step-by-step explanation:

trust

The answer is D. x- 0.25x

If the number that we have is .75x, then we will only have 3 quarters of our total and will take one quart away. 25 is one quarter.

HOPE THAT HOPES! & don't forget to drink water!!

QUICK QUESTION: did I do this right?

Answers

It it fully correct
Hope you have a good day!
Can ai get brainliest?

Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?

Answers

Answer: Parallel

Step-by-step explanation:

First find slope.

Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]

Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]

Since the slopes are the same, the lines are parallel.

First we need to find the slope of each line

Slope of line f

(8 , 7)  (3 , 10)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{10-7}{3-8}[/tex]

[tex]slope = \frac{3}{-5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

Slope of line g

(5 , 7)  (10 , 4)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{4-7}{10-5}[/tex]

[tex]slope = \frac{-3}{5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.

I don't need this for school i Just want to see if people can help me with my other studies with a test question. I know this is easy but i Want to ask So...

Billy's dad gets:6,59€a day. And now he has made 408,58€ how many days did he work? ​

Answers

Answer:

what thats a math question

Step-by-step explanation:

Use the function f(x) = –2|5-x| – 13 to evaluate f (6).

Answers

Answer:

-15

Step-by-step explanation:

-2 |5 - x| - 13

-2 |5 - 6| - 13

-2|-1| - 13

-2 - 13

-15

Hopefully this helps!

Brainliest please?

The price of an item yesterday was $130. Today, the price rose to $299. Find the percentage increase.

Answers

it increased by 70%

130%

Step-by-step explanation:

(299 - 130)/130 × 100%

= 169/130 × 100%

= 169/13 × 10%

= 13 × 10%

= 130%

is 6 the same answer as the answer you would get directly finding the square root of 36

Answers

Answer:

yes tha

Step-by-step explanation:

Answer:

Yes the answer is the same. Indeed, the answer to the square root is 6.

Step-by-step explanation:

[tex] \sf square \: root \: of \: 36[/tex]

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

[tex] \sf = \sqrt{6 \times 6} [/tex]

[tex] \sf = 6[/tex]

I don't really understand what I suppose to do here so please help me with the question​

Answers

Answer:

look at the time for example, B's time is constant because it isn't skipping numbers like 1, 5, 3,etc.

the height is also constant because it is dividing each number by 2, 60÷2=30, 30÷2=15, 15÷2=7.5. You will notice A is not constant so (no) but B is so (yes)

What’s the answer???????

Answers

Answer:

77

Step-by-step explanation:HOPE YOU ADD JRVERANO2010

Enter the number in scientific notation. 33,254 = x10​

Answers

Answer:

33254=3.3254*10^4

Step-by-step explanation:

You use the hint

what number when added to 3 2/5 gives 5

Answers

Answer:

1.6

Step-by-step explanation:

carla wants to investigate whether a person’s political party affiliation causes the person to be more vocal about political issues. she plans to administer a survey to a large sample of people. which of the following describes why the method of data collection used will prevent carla from achieving her goal?

Answers

Answer:

causation cannot be determined from a survey

50 points
Select all values that make the equation true.

2(x−8)=x+5x

Answers

Answer:

x= -4

Step-by-step explanation:

Find the value of x

x - 2/3 = x - 6

Answers

There are no values of x to make this equation true

solve this equation x/20-5=-4

Answers

Answer:

x=20

Step-by-step explanation:

First find the common denominator

Combine fractions with common denominator

Multiply the numbers

and you should be able to do it if that point. Pretty straight forward :)

HOPE I HELPED!!

Answer:

x=20

Step-by-step explanation:

add 5 to both sides

x/20=-4+5

simplify -4+5 to

x/20=1

multiply sides by 20

x=1*20

so x=20

Gía trị của biểu thức A = ( 2x - 5)x(2x +5) - 4 x (x+2)x(x-2) + (10x + 7)

Answers

Answer:

language

Step-by-step explanation:

Help me! It’s a short answer question!
12. Find the values of x, y, and z. The diagram is not to scale. (3 points)
360
130
630

Answers

Answer:

x = 81 degrees

<z = 99 degrees

<y = 68 degrees

Step-by-step explanation:

<x = 180 - 36 - 63 = 81 degrees

<x + <z = 180 degrees

81 + <z = 180

<z = 180 - 81

<z = 99 degrees

<y = 180 - 99 - 13

<y = 68 degrees

Last week, Mahmoud drove 109 kilometers. This week, he drove n kilometers. Using n, write an expression for the total number of kilometers he drove in the
two weeks

Answers

Last week: 109
This week: n
We need the total, so T=109+n where T is the total number of kilometers driven.

Could someone please help answer this, will give brainliest, please no spam, thank you! (homework help)

Answers

Answer:

X is greater then or equal to - 15

What is tthe distance between points 11,3 and 4,3 on a coordante plane

Answers

Answer:

7 units

Step-by-step explanation:

Brandon has a total of 187 postage stamps in his collection.

• he has 48 stamps that are each 14 millimeters wide.

• he has 139 stamps that are each 12 millimeters wide.

what is the total width of the stamps in Brandon's collection?
please help!​

Answers

Answer:

233.4 Centimeters

Step-by-step explanation:

48 x 10 = 480

48 x 4 = 192

480 + 192 = 672

139 x 10 = 1390

139 x 2 = 272

1390 + 272 = 1662

1662 + 672 = 2334

2334mm = 233.4cm

hmmmmmmmmmmmmmmmmmmm help for 30

Answers

Answer:

pants: 28.8 jacket: 7.2

Step-by-step explanation:

4/5 (36) = 28.8

36 - 28.8= 7.2

what is the remainder of this polynomial function?

Answers

Answer: C

Step-by-step explanation:

Solve for x
6.5 (3 – 2) + 22 = 92 - 1.5 (3x + 11)
Enter your answer in the box.
X=

Answers

Answer is: x = 10.44....

help please for the answer ​

Answers

Step-by-step explanation:

3x+2x+10+2x+5+2x-15 = 360

9x+15-15=360

9x=360

x=40.

3x=3×40=120°2x+5=2×40+5=80+5=85°2x+10=2×40+10=80+10=90°2x-15=2×40-15=80-15=65°.

hope this helps you.

Answer:

2x° + 10° = 90°

3x° = 120°

2x° + 5° = 85°

2x° - 15° = 65°

Step-by-step explanation:

360° = 3x° + 2x° + 5° + 2x° + 10° + 2x° - 15°

360° = 3x° + 2x° + 2x° + 2x° + 5° + 10° - 15°

360° = 9x°

9x° = 360°

x° = 360° : 9

x° = 40°

2x° + 10°

= 2(40°) + 10°

= 80° + 10°

= 90°

3x°

= 3(40°)

= 120°

2x° + 5°

= 2(40°) + 5°

= 80° + 5°

= 85°

2x° - 15°

= 2(40°) - 15°

= 80° - 15°

= 65°

#LearnWithEXO

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