What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.

What Is The Slope-intercept Form Of The Linear Equation 2x + 3y = 6?Drag And Drop The Appropriate Number,

Answers

Answer 1

we know that

The equation of the line into slope-intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]2x+3y=6[/tex]

Isolate the variable y

[tex]3y=-2x+6[/tex]

[tex]y=-\frac{2}{3}x+\frac{6}{3}[/tex]

[tex]y=-\frac{2}{3}x+2[/tex]

the slope is [tex]m=-\frac{2}{3}[/tex]

the y-intercept is [tex]b=2[/tex]

the answer in the attached figure

What Is The Slope-intercept Form Of The Linear Equation 2x + 3y = 6?Drag And Drop The Appropriate Number,
Answer 2

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

A linear equation is given by:

y = mx + b;

Where y,x are variables, m is the slope of the line and b is the y intercept.

Given the equation 2x + 3y = 6, to represent in slope intercept form, we have to make it in the form y = mx + b, hence:

2x + 3y = 6

3y = -2x + 6

Dividing through by 3:

y = (-2/3)x + 2

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

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Related Questions

A company can manufacture x x hundred items for a total cost of c = 500 + 1100 x − 100 x 2 c=500+1100x-100x2. find x x if the total cost is $ 2 , 300 $2,300.

Answers

We are given the equation:

c = 500 + 1100 x – 100 x^2

 

Solve for x given the value of c = 2300

Rearrange and substitute:

- 100 x^2 + 1100 x + 500 = 2300

Divide everything by -100:

x^2 – 11 x – 5 = - 23

x^2 – 11 x = - 18

Completing the square:

(x – 11/2)^2 = - 18 + (11/2)^2

x – 11/2 = ±3.5

x = 2, 9

 

So x is 2 or 9

Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?


Answers

examples?

Step-by-step explanation:

1/2 of 6 is what percentage of 1/4 of 60 options: A 16 2/3 B 8 1/3 C 37 1/2 D 8 E 12 1/2 Show work

Answers

You might want to check on quizlet

Two angles are supplementary. one angle is 4 degrees° less than three times the other. find the measures of the angles.

Answers

We call these angles a and b.
and we have the sum a+b=180.
in addition 3b-4=a
So we have 3b-4+b=180
or 4b=184 and at the end we have b=46, a= 134

A gasoline pump delivers 4 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 17 1/4 gallons?

Please show all steps and equation.

Answers

Well if it pumps 4 2/5 per minute that is equal to 4 4/10 in a minute or 4.4 because you multiply the top and bottom of the fraction by two. it’s still the same fraction but it is easy to convert to a decimal now. you could use this fraction but it’s much easier to use decimals. Because the first number is a decimal you should make the second one a decimal too. To do this you need to know that 1/4 of 100 is 25. so now we have these numbers and all you do now is divide 17.25 by 4.4 which could be rounded to 4 because it’s a long decimal

Which polynomial has a factor of 3x+2?

1.) 6x²+x-2
2.) 6x²-5x-9
3.) 3x²-x-4
4.) 3x²+8x-8

Answers

The polynomial that has a factor of 3x + 2 is 1.) 6x^2+x-2
The answer is #1

You can factor 6x+x-2 in many ways-

But the right answer from factoring should come out to be (3x+2)(2x-1) because when you multiply it back out using the FOIL method, you come back to the original problem. Hope this helps:)

A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.

How much will the business pay in the sixth month?

Answers

$125 is to be paid during the 6th month.

Answer:

$125 on the 6th month

If i flip a coin 4 times what is the probability of one tail

Answers

Salutations!

Probability means occurrence of chance.

You have two sides in a coin: heads and tails.

so when you flip the coin 4 times the probability on getting one tail is one. If you had to find the probability of 2 tails then the answer would be [tex]2/4[/tex].

P = (of one tail) = [tex]1/4[/tex]

It cannot be simplified further, as it is in its simplest form already.

Hope I helped (:

Have a great day!

There are 3 people who work full time and are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full time. if one of the people is budgeted for 1/2 of the time and the other person is budgeted for 1/3, what part od the third workers time should be budgeted to this project

Answers

1/2 + 1/3 + x = 1
5/6 + x = 1
x = 1/6
x being the amount of time for the third person. YOU'RE WELCOME :D

You are taking part in a charity walk, and you have walked 12.5 miles so far. Your girl is to walk 20 miles. How many more miles do you need to walk to meet your goal?

Answers

After walking 12.5 miles with a goal of 20 miles, you need to walk 7.5 more miles to meet your goal.

To meet your goal in the charity walk, you need to calculate how many more miles are left to walk after having walked 12.5 miles with a goal of 20 miles. The calculation is simple subtraction: 20 miles (goal) - 12.5 miles (distance already walked) = 7.5 miles remaining to be walked. So, you need to walk 7.5 more miles to meet your goal.

In the problem 17- 8= 9, the number 9 is the ____________

Answers

In the problem 17 - 8 = 9, the number 9 is the difference because it is the solution of a SUBTRACTION equation.

In the subtraction problem 17 - 8, the number 9 is the difference, which is the result obtained after subtracting 8 from 17.

In the problem 17 - 8 = 9, the number 9 is the difference. In subtraction, the difference is the result of subtracting one number from another. Here, when we subtract 8 from 17, we get the difference of 9. This is because 17 is the minuend (the number from which another number is subtracted), 8 is the subtrahend (the number that is to be subtracted), and 9 is the difference (the result of the subtraction).

A small train at an amusement park is carrying passengers. Half of the passengers are 4 years old, 1/10 are 5 years old, 3/10 are 6 years old, and 1/10 are 7 years old.

What is the expected age for one of the passengers on the train?

A. 5 years
B. 5.5 years
C. 6 years
D. 6.1 years

Answers

In order to find the expected age, we must multiply the probability of picking each child by their age, then add them all up. Like this:

E(x) = 4(1/2) + 5(1/10) + 6(3/10) + 7(1/10)
E(x) = 5 years

By doing this we are giving each age group a percentage of the entire population.

Hope this helps!

Please help thank you very much.

Answers

Hey Madoudou!

For the first picture, the correct answer is option B

They say that AB = BC = CD and they want us to find JM.

Well, since the right side are equal, the left side must equal to.

So, all we have to do is add them.

JK = KL = LM
7 + 7 + 7 = 21

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

The answer is 720

Sum = (6-2) * 180
Sum= 4 * 180
Sum = 720

For the last one, the correct answer is 99

This is too complicated to explain :)


I hope this helps!

Can you pease help me find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic devision?
thank you!

Answers

        x^3    - 5x^2 +    6x  -  30

    |   1        - 5            6      - 30
    |
    |
 5 |              5             0        30
----------------------------------------------
    |   1         0             6         0  <------ the resiude is 0.

Resiude 0 means that the polynomial is divisible by x - 5, and that means the root is x = 5.

That is the only rooto because the quotient is x^2 + 6, which does not have real roots.

Answer: x = 5


what is the curconfrrince

Answers

The circumference of a closed curve or circular object is the linear distance around its edge. The circumference of a circle is of special importance in geometry and trigonometry.
Plz mark me brainliest!
Hope this helps!
Hello!

The distance around a circle is called the circumference,while, the distance through the circle through the center is called the diameter. π is the ratio of the circumference to the diameter. Meaning, for any circle, if you divide the circumference by the diameter, you will always get π. This is expressed in the formula: C/d=π

PLEASE HELP ME!

Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield?

Answers

6 1/2 divided by  1/4

6.5 /0.25 =26 servings

Mr.Williams' physical education class lasts 7/8 hour.How many minutes are not spent on instructions . playing game:1/2 , instructions: 1/5 ,warm up and cool down:3/10

Answers

First you would find a common denominator. If 40 is the LCM then you would have to add playing games, instruction,warm-up, and cool-down. Then you will subtract the sum from the total class time and bam! You get your answer!
52.5 minute class

1/5 spent on instruction - 20%

Just find 80 percent of 52.5 and you will get 42 minutes not spent on instruction

If Log 4 (x) = 12, then log 2 (x / 4) is equal to

A. 11
B. 48
C. -12
D. 22

Answers

Hi,
The answer to your problem is D. 22. Hope this helps and have a wonderful day!
If log₄ (x) = 12,     then log₂ (x / 4) =?
The easiest way:

a) log₄ (x) = 12, re write it in exponential way : x = 4¹² = 16,777,216

b) Plug the value of x in log₂ (x / 4)

log₂ (16,777,216 / 4) → log₂(4,194,304)

and log₂(4,194,304) = 22

which number is halfway between 1/2 and 5/6

Answers

I believe the answer is 4/6 or 2/3 because 1/2=3/6 and 4/6 is in the middle of 3/6 and 5/6

The fraction which is halfway between  [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{6}[/tex] is equal to [tex]\frac{2}{3}[/tex].

What is a fraction ?

A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.

The two fractions are given which are [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{6}[/tex].

We know that numerator is the top value of the fraction whereas the denominator is the bottom value of the fraction. We need to add the given fractions and then divide it by 2 to find the halfway between the two given functions.

To add the fractions we need to equal denominator firstly. The common denominator of 2 and 6 will be 6 because 6 is a multiple of both 2 and 6.

So ,

Halfway between  [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{6}[/tex] is :

= ( [tex]\frac{1}{2}[/tex] + [tex]\frac{5}{6}[/tex] ) / 2

= [tex]\frac{3 + 5}{6}[/tex] / 2

= [tex]\frac{8}{6}[/tex] × [tex]\frac{1}{2}[/tex]

= [tex]\frac{4}{6}[/tex]

or

[tex]\frac{2}{3}[/tex]

Therefore , the fraction which is halfway between  [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{6}[/tex] is equal to [tex]\frac{2}{3}[/tex].

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In traveling across flat land, you see a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive 15 miles closer to the mountain, the angle of elevation is 9° (see figure). Approximate the height of the mountain. (Round your answer to one decimal place.)

Answers

check the picture below.

[tex]\bf tan(3.5^o)=\cfrac{y}{15+x}\implies 15+x=\cfrac{y}{tan(3.5^o)}\\\\\\ \boxed{x=\cfrac{y}{tan(3.5^o)}-15} \\\\\\ tan(9^o)=\cfrac{y}{x}\implies x\cdot tan(9^o)=y\\\\\\ \left[ \cfrac{y}{tan(3.5^o)}-15 \right]tan(9^o)=y \\\\\\ \left[ \cfrac{y-15tan(3.5^o)}{tan(3.5^o)} \right]tan(9^o)=y \\\\\\[/tex]

[tex]\bf \cfrac{y\cdot tan(9^o)-15tan(3.5^o)tan(9^o)}{tan(3.5^o)}=y \\\\\\ y\cdot tan(9^o)-15tan(3.5^o)tan(9^o)=y\cdot tan(3.5^o) \\\\\\ ytan(9^o)-ytan(3.5^o)=15tan(3.5^o)tan(9^o) \\\\\\ \stackrel{common~factor}{y}[tan(9^o)-tan(3.5^o)]=15tan(3.5^o)tan(9^o) \\\\\\ y=\cfrac{15tan(3.5^o)tan(9^o)}{tan(9^o)-tan(3.5^o)}[/tex]

make sure your calculator is in Degree mode.

the amount is small, but bear in mind that is mile units.

To solve such problems we must know about Tangent (Tanθ).

What is Tangent (Tanθ) ?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The height of the mountain is 1.495 miles.

Given to us

AB = 15 miles∠CAD = 3.5°∠CBD = 9°

In ΔCAD,

[tex]\rm{ tan(\angle A) = \dfrac{Perpendicular}{Base}[/tex]

[tex]tan(\angle A) = \dfrac{CD}{AD}[/tex]

[tex]tan(3.5^o) = \dfrac{CD}{15+x}[/tex]

[tex]CD=tan(3.5^o) \times(x+15)[/tex]

In ΔCBD,

[tex]\rm{ tan(\angle B) = \dfrac{Perpendicular}{Base}[/tex]

[tex]tan(\angle B) = \dfrac{CD}{BD}[/tex]

[tex]tan(9^o) = \dfrac{CD}{x}[/tex]

[tex]CD=tan(9^o) \times(x)[/tex]

Equating CD,

[tex]tan(3.5^o) \times (x+15) = tan(9^o) \times x\\\\(x+15)= \dfrac{tan(9^o) }{tan(3.5^o) }\times x\\\\x+15=2.59\ x\\15 = 2.59x-x\\15= 1.59x\\x = 9.44[/tex]

Substituting the value of x

[tex]CD=tan(9^o) \times(x)[/tex]

[tex]CD=tan(9^o) \times(9.44)\\CD= 1.495[/tex]

Hence, the height of the mountain is 1.495 miles.

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Which angle is the included angle for MP¯¯¯¯¯¯ and MN¯¯¯¯¯¯¯ ?


∠M

∠N

∠P

Answers

Answer:

First one.

Step-by-step explanation:

M is in both angles.


we know that

An included angle is the angle between two sides of a triangle

so

in the triangle MNP

1) the included angle for MP and MN is the angle M

2) the included angle for PM and PN is the angle P

3) the included angle for NM and NP is the angle N

therefore

the answer is

the included angle for MP and MN is the angle M

Find the percent change from 60 to 63. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.

Answers

63 - 60 = 3
[tex] \frac{3}{60}[/tex] = 0.05 ≈ 5%
5% increase

Solve the system of equations by graphing [tex] \left \{ {{y=- \frac{3}{2}x+2 } \atop {y=3x-7}} \right.[/tex] *Show all work

Answers

1) Graph of y = - (3/2)x + 2

That is a straightline with slope -3/2 and y-intercept  2

If you do not know how to graph it, you can make a table like this:

x             y = (-3/2)x + 2

-1            3/2 + 2 = 7/2

0              0 + 2 = 2

2              - 3 + 2 = -1

4              - 6 + 2 = - 4

2) Graph of y = 3x - 7

That is a straight line with slope 3 and y intercept  -7

If you do not know how to graph it you can make a table like this:

x         y = 3x - 7

-1         - 3 - 7 = - 10

0          0 - 7 = - 7

1          3 - 7 = - 4

2          6 - 7 = - 1

3         9 - 7 = 2

3) When you draw the two lines you will see that the intersect at x = 2, with the correspondant y = - 1.

That point of intercection is the solutions of the system (2, -1)

what is 10 1/2 divided by 2 1/4

Answers

make it into one fraction each, or 21/2 and 9/4, then find the reciprocal of 9/4, or 4/9, them multiply 21/2 and 4/9, to get 14/3 or 4 and 2/3

The solution of the expression '' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] '' will be [tex]4 \frac{2}{3}[/tex].

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The mathematical expression is;

'' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] ''

Now, Solve the mathematical expression by using division method as;

The mathematical expression is,

[tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex]  =  [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]

Change the mixed fraction into improper fraction as;

⇒ [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]

⇒ [tex]\frac{21}{2}[/tex] ÷ [tex]\frac{9}{4}[/tex]

It can be solve as;

⇒ 21/2 ÷ 9/4

⇒ 21/2 × 4/9

⇒ 14/3

Change into mixed fraction as;

⇒ [tex]\frac{14}{3} = 4 \frac{2}{3}[/tex]

So,  [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex] =  [tex]4 \frac{2}{3}[/tex].

Therefore,

The solution of the expression '' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] '' will be [tex]4 \frac{2}{3}[/tex].

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How do you think business owners determine how much of each of their products to make?

Answers

Answer:  First - Add your costs to your mark-up. (Costs + Mark-up Amount = Baseline Price), Next - If you want to find the price percentage, (Costs x Mark-up Percentage = Mark-up Amount) (Mark-up Amount + Costs = Baseline Price) Next - Multiply your baseline price by your overhead percentage and figure out what is the amount that you must add to the baseline prices so that the overhead expenses can be covered. (Price x Overhead Percentage = Overhead Contribution)Now you must finally add your overhead contribution to your baseline price: (Overhead Contribution + Baseline Price = Final Price)

The circle design a class which represents a circle in the (x,y) coordinate plane. a circle object is initialized with three input arguments. the center of the circle specified as the first two inputs (x,y) and the radius of the circle. by default the circle will be centered at (0, 0) with a radius of 1. c = circle(0, 0, 1) the circle class should provide proper getters/setters for the x and y coordinates of the center as well as the radius. the circle should also have a getarea() and getperimeter() method. finally, the circle should have a method called, ispointwithincircle(x, y) which takes as augments the x and y coordinate of a point and determines whether the point lies within the circle. it should return a boolean indicating whether the point is within the circle.

Answers

The circle design a class which represents a circle in the (x,y) coordinate plane.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

from math import dist # to calculate distance between two points

# defining class circle

class Circle:

   # constructor of Circle

   # with default parameters

   def __init__(self, x_coord=0, y_coord=0, radius=1):

       self.centre_x = x_coord

       self.centre_y = y_coord

       self.radius = radius

   # getters

   def getX(self):

       return self.centre_x

   def getY(self):

       return self.centre_y

   def getRadius(self):

       return self.radius

   # setters

   def setX(self, x):

       self.centre_x = x

   def sety(self, y):

       self.centre_y = y

   def setRadius(self, r):

       self.radius = r

   # function to calculate and return area

   def getArea(self):

       return 3.141*(self.radius**2)

   # function to calculate and return perimeter

   def getPerimeter(self):

       return 2*3.141*self.radius

   # calculates the distance between circle centre and

   # given coordinates

   # returns true if distance is less than radius

   def isPointWithinCircle(self, x, y):

       return dist([self.centre_x, self.centre_y], [x, y]) < self.radius

c1 = Circle(3, 3, 7)

c2 = Circle()

print("First Circle perimeter: " + str(c1.getPerimeter()))

print("First Circle area: " + str(c1.getArea()))

c2.setX(3)

c2.sety(3)

c2.setRadius(2)

if c2.isPointWithinCircle(4, 3.7):

   print("(4, 3.7) is within circle two")

else:

   print("(4, 3.7) is not within circle two")

print("Moving second Circle")

c2.setX(3+c2.getX())

if c2.isPointWithinCircle(4, 3.7):

   print("(4, 3.7) is within circle two")

else:

   print("(4, 3.7) is not within circle two")

Thus, the circle design a class which represents a circle in the (x,y) coordinate plane.

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recursive equation for 5,8,11,14,17

Answers

2 + 3 • n is the answer,at least that's how it is where I learn

Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip? ANSWER ASAP

Answers

The answer is 2/25 because he bought 40 out of the 500 tickets which is 40/500. 40/500 = 4/50. Divide 4 and 50 by two and you get 2 and 25.

If Bryson purchased 40 raffle tickets. There were 500 raffle tickets sold. Then 2/25 is the theoretical probability of Bryson winning the trip

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

Bryson hopes to win a three-day vacation in a drawing that is being held at his office.

Bryson purchased 40 raffle tickets

The number of raffle tickets sold were 500

We need to find the theoretical probability of Bryson winning the trip

P(win)=40/500

=4/50

=2/25

2/25 because he bought 40 out of the 500 tickets

Hence 2/25  is the theoretical probability of Bryson winning the trip

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CAN someone please check this i will give out brainliest !

its proofs and theorems in geometry

check the ones in red

Answers

Reason 2 should be "corresponding angle postulate" because angle 1 and angle 2 are corresponding angles. They are on the top side of the parallel lines and they are on the same side of the transversal line. The fact we have parallel lines means the two corresponding angles have the same measure.

Reason 3 should be "angle congruence postulate" leading us from the congruent notation shown in statement 2 to the equality notation in statement 3.

In short, you have reason 2 and reason 3 swapped. Reason 5 is in the proper place. 

What property justifies this statement? If segment A B is congruent to segment D E and segment D E is congruent to segment F G, then segment A B is congruent to segment F G.

Answers

are there answers choices?
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