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
Allisa [31]
3 years ago
14

Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

<u>For option A:</u>

(0,4)

Putting x=0 and y = 4 in both equations

-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2

This is not the correct answer as both equations are not true with this solution

<u>For Option B:</u>

(0,-4)

Putting x = 0 and y = -4 in both equations

-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2

Both equations are true for (0,-4) hence it is the solution of the system.

<u>For Option C:</u>

(4,0)

-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2

Not true for both equations

Hence,

Option b is the correct answer.

You might be interested in
Which is a greater number the mass of a cat in grams or the mass of a cat in kilograms
dem82 [27]
The mass of a cat in grams is greater because in 1 gram=0.001 kilograms
6 0
3 years ago
Question 2 of 25
tekilochka [14]

Answer: The Answer is C 2.29

Step-by-step explanation: I just got it right on the test

7 0
2 years ago
Pencils are on sale for 25 for $1.25. Based on this rate, how much would one pencil cost?
Marat540 [252]

Answer:

$0.05

Step-by-step explanation:

1.25/25=0.05

6 0
2 years ago
The question is in the picture
aleksandr82 [10.1K]

Answer: 140

Step-by-step explanation: since 4 = 40 then 2 would also be 40 because they are the same angle (Keep in mind that a line is 180 degrees) 180-40=140! Good luck! :D

5 0
2 years ago
A Little League team played a
Allushta [10]

Answer:

Step-by-step explanation:

So we are assuming only the times listed  count toward telling us how long the game was, so you just add the three numbers together.  155, 175 and 30

4 0
3 years ago
Other questions:
  • the states C&amp;D spend a total of 55.6 million dollars for tourism the state C spends 3.2 million dollars more than State D fi
    7·1 answer
  • What is the value of x in the equation
    14·2 answers
  • Assume that random guesses are made for nine multiple choice questions on an SAT​ test, so that there are equal 9 ​trials, e
    5·1 answer
  • The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
    5·1 answer
  • Perform the following operation and express the answer in scientific notation. 3.8×10^-5 ÷ 8.1×10^3​
    6·1 answer
  • A cone of volume 54π is cut by a plane parallel to the base, 1/3 of the way up the height of the cone (from the base). Find the
    11·1 answer
  • QUICK HURRY!!!!!!!!!!!!!!!!!!!<br><br> 20 1/7 SIMPLIFIED IS:
    7·1 answer
  • Y = 5.3x, when x = 10
    8·1 answer
  • 2xsquare-6x+3=0 by completing the square method ???
    9·1 answer
  • F(x) = 3x <br>reflected over y-axis​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!