1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s344n2d4d5 [400]
3 years ago
11

Graph 3x + 2y = 6. Can someone help with this

Mathematics
2 answers:
Tasya [4]3 years ago
8 0

Here are two ways to graph it.  You can decide which one seems easier to understand or easier to do:

==>  Manipulate the equation into the "slope-intercept" form, where 'y' is
all alone on one side and everything else is on the other side:

3x + 2y = 6

Subtract  3x  from each side:   2y = -3x + 6

Divide each side by  2 :            y = <em>-3/2</em> x <em>+</em> <em>3</em>

This is the form you want.  Just looking at it, it tells you that the slope
of the line on the graph is (<em>-3/2</em>), and it crosses the y-axis at  <em>+3</em> .
That's enough information to draw the line.
===============================================

=>  Another way:

Look at the x-axis and the y-axis on the graph paper ... without any graph drawn on it yet.  Just look at the 2 axes.

With an 'x'-number and a 'y'-number, you can find any point on it. Right ?

OK.  Notice that at every point on the y-axis, x = 0 .  And at every point
on the x-axis, y = 0.  This can be very very helpful.

Now take your equation:    <u>3x + 2y = 6 .</u>

You know that the graph is going to be a straight line.  And it's pretty obvious that if the line isn't horizontal or vertical, then it has to cross both the x-axis and the y-axis somewhere.  If you had an easy way to find the two points where it crosses the axes, you could join those 2 points and you'd have your line !

You DO have an easy way to find those points !

If x=0, then the point is on the y-axis.  Take your equation, make x=0, and it'll show you where the line crosses the y-axis:

                         3(0) + 2y = 6 .

                                    2y = 6 .

Divide each side by 2 :  y = 3 .

There's one point on the line:  (0, 3)

Now remember that if y=0 the point is on the x-axis.  So take your equation
and make y=0:

                                      3x + 2(0) = 6

                                      3x          = 6

Divide each side by 3 :    x = 2 

There's another point on the line, where it crosses the x-axis:  (2, 0) .

Shazam !  You have the 2 points where the line crosses the x- and
y- axes.  Mark each one with a little dot,  put your ruler down along
them, draw a line between them, and extend it as far in each direction
as you want to.  That's the graph of your equation.


WARRIOR [948]3 years ago
3 0
Plot these coordinates then draw a line through them and that is the line.

(2,0) x intercept
(0,3) y intercept
You might be interested in
Brainliest fir CORRECT answer ​
viktelen [127]

Answer:

y ≈ 5.2

Step-by-step explanation:

∠ F = 180° - (42 + 48)° ← sum of angles in a triangle

∠ F = 180° - 90° = 90°

Thus Δ DEF is right at F

Using the sine ratio in the right triangle

sin48° = \frac{opposite}{hypotenuse} = \frac{DF}{DE} = \frac{y}{7} ( multiply both sides by 7 )

7 × sin48° = y , then

y ≈ 5.2 ( to the nearest tenth )

4 0
2 years ago
A bag contains 8 black beads and 4 white beads. If 2 beads are drawn at random, what is the probability that both beads are blac
maria [59]

Answer:

14/33

Step-by-step explanation:

The total amount of beads is 8+4 = 12.  8 of these are black beads, so that is what we want, so 8/12 or 2/3.  For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11.  Multiply this by 2/3 and we get 14/33.

3 0
3 years ago
How do you find the area of each regular polygon
Alex73 [517]
If the drawing of your octagon (or whatever) has been separated into triangles, and one triangle's area<span> is labeled, then you do not need to know the apothem. Just take the </span>area<span> of that one triangle, and multiply by the number of sides in the original </span>polygon<span>.</span>
5 0
2 years ago
How can I work this problem in adding integers with counters 5 + (-7)
Monica [59]

\huge\mathsf\green{Answer}

5 + ( - 7) \\ 5 - 7 =  - 2

<h3>hope it would be helpful </h3>
4 0
2 years ago
A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun
bija089 [108]

Answer:

3x^{3}+15x^{2}+x+5

Step-by-step explanation:

We are told that the area of the bag can be represented by the function f(x)=3x^{2} +1 and as the bag is raised up its height can be represented by the function g(x)=x +5.

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.  

\text{Volume of collapsible bag}=f(x)*g(x)  

\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)

After using distributive property we will get,

\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)

\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5

Therefore, the collapsible bag can hold 3x^{3}+15x^{2}+x+5 grain.

6 0
3 years ago
Other questions:
  • There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the
    12·1 answer
  • The circumference of a circle is 30 pi. what is the radius of the circle
    6·1 answer
  • Can someone please match the terms to the right definition.
    10·1 answer
  • If one student rides in front seat and three in the back seat how many ways can the 4 students be arranged in car
    11·1 answer
  • Need a Quick answer please
    5·1 answer
  • -100x - 100 = 0<br>-100x = ?<br> x = ?​
    9·2 answers
  • Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • What is the correct way of doing N- (-15)= -1. In ALGEBRA 8?
    7·1 answer
  • Construct a confidence interval for p1-p2 at the given level of confidence.
    13·1 answer
  • Help please i really need help
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!