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
goldfiish [28.3K]
3 years ago
13

Which shows the graph of the solution set of 2x+3y≤6?

Mathematics
2 answers:
mel-nik [20]3 years ago
6 0

Answer:

Option (a) is correct.

Step-by-step explanation:

 Given : equation  2x + 3y ≤ 6

We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6

Consider the given equation   2x + 3y ≤ 6

We first find the points where the equation cut x- axis and y-axis.

Thus,

For x - axis  put y = 0 ,

We get   2x + 3(0) ≤ 6 ⇒  2x  ≤ 6 ⇒ x ≤ 3

Thus, point (3,0)

For y - axis  put x = 0 ,

We get   2(0) + 3y ≤ 6 ⇒  3y  ≤ 6 ⇒ y ≤ 2

Thus, point (0,2)

For region we  choose a test point and find the value of x and y on that test point and  check whether it satisfy the inequality satisfies or not.

Consider the point (0, 0) , then inequality becomes,

2(0) + 3(0) ≤ 6  ⇒  0  ≤ 6 (true)

Hence, region below the line will be considered.

Thus, Option (a) is correct.

storchak [24]3 years ago
3 0

we have

2x+3y \leq 6

Using a graphing tool

see the attached figure

The solution is the shaded area below the solid line

The answer in the attached figure


You might be interested in
2. Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?
Maksim231197 [3]

Explanation:

The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.

More formally, if V is the common vertex, and ...

  • R is a point on one of the rays forming Angle 1
  • S is a point on the ray that is the opposite of ray VR
  • T is a point on the other ray forming Angle 1
  • U is a point on the ray that is the opposite of ray VT

Then angle RVT and angle SVU are vertical angles.

___

Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.

If the above conditions cannot be met, then the angles are not vertical angles.

7 0
3 years ago
I have 20 books. Some are English and some are French. If 15 books are French, what fraction of books are in English?
allsm [11]
15/20 are French so 5/20 are English
Simplified that’s 1/4
Only applies if all the books are either English or French
I think
6 0
3 years ago
PLEASE HELP
pogonyaev

Answer:

b and c

Step-by-step explanation:

both slopes are 2/3

6 0
3 years ago
The following circle graph represents how the Townsends spend their monthly income. What is the central angle measure of the sec
mars1129 [50]
Please say brainliest.

It would be 18 degrees.

5% of 360(the total number of degrees in a circle) = 18 degrees
3 0
3 years ago
Find the perimeter of pentagon STUVW WITH VERTICES S(0,0) T(3,-2) U(2,-5) V(-2,-5) W(-3,-2)
andrew11 [14]
Use the distance formula.

\sqrt{( x_{2} - x_{1} )^2 + (y_{2} - y_{1})^2}

 
Points S and W.
\sqrt{(3)^2 + (2)^2}

\sqrt{9+4}

\sqrt{13}

~3.6

Points S and T
\sqrt{(3 - 0)^2 + (-2 - 0)^2}

\sqrt{(3)^2 + (-2)^2}

\sqrt{9+4}

\sqrt{13}

~3.6

Points T and U
\sqrt{(3 - 2)^2 + (-2 + 5)^2}

\sqrt{(1)^2 + (3)^2}

\sqrt{1+9}

\sqrt{10}

~3.1

Points U and V
\sqrt{(2+2)^2 + (-5 + 5)^2}

\sqrt{(4)^2 + (0)^2}

\sqrt{16}

~4

Points V and W
\sqrt{(-2+3)^2 + (-5 + 2)^2}

\sqrt{(1)^2 + (-3)^2}

\sqrt{2+9}

\sqrt{11}

~3.3

Add all these together.

3.3 + 3.1 + 4 + 3.1 + 3.6
≈17
4 0
3 years ago
Other questions:
  • The 5 in 6.052 has 1/10 the value of the 5 in?
    6·1 answer
  • Someone help PLZ.
    6·1 answer
  • Does -2(11-12x)=-4(1-6x) does it have one solution or no solution or many solutions
    6·1 answer
  • The sum of two numbers is 55. One number is 4 times as large as the other. What are the numbers?
    15·1 answer
  • What is the solution to the system of equations?<br> y = 1/3x-10<br> 2x + y = 4
    8·2 answers
  • Simplify and then classify by degree and number of terms<br> 2x+3x^2(4x-5)
    14·2 answers
  • Which measure is greater? 5 kilograms or 5 pounds?
    13·1 answer
  • Determine if the following is true: if sin^2x cos^2x=1, then sinx+cosx=1
    14·1 answer
  • What fraction and decimal forms match the long division problems? <br> plz help its for a test!
    8·1 answer
  • 0.2% as a whole number
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!