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]
2 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]2 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
The expression 146 ÷ 144 is equal to _____.
natulia [17]

Answer:1.01

Step-by-step explanation:

5 0
3 years ago
A pile of 42 coins worth $4.90, consisting of nickels and quarters. How many nickels are there?
Ymorist [56]

Answer:14

Step-by-step explanation:

A nickel is 5 cents (20% of dollar)

and a quarter is 25 cents (25% of dollar)

We have given a pile of 42 coins worth of $4.90

Let x be the no nickels and

y be the no of quarter

therefore

x+y=42    -----1

\frac{x}{4}+\frac{y}{20}=4.90 ---2

Solving \left ( 1\right )&\left ( 2\right ) we get

x=14 & y=28

Therefore no of nickels is 14 & no of quarters is 28

6 0
3 years ago
A 2-column table with 5 rows. Column 1 is labeled Days with entries 1, 2, 3, 4, 5. Column 2 is labeled miles with entries 6, 12,
ZanzabumX [31]
I believe that it is “Sakura walks 6 miles every day”
3 0
2 years ago
Read 2 more answers
What is the equation of a line that goes through the point
HACTEHA [7]
Point = (0, 56)
Slope = 1

This is where you would use point slope.
y - y1 = m(x - x1)
y - 56 = 1(x - 0)
y - 56 = x
y = x + 56

Answer is A.
8 0
3 years ago
Factor the perfect square trinomial.<br> x(Squared)+4x+4
Nataliya [291]

Answer:

(x + 2)²

Step-by-step explanation:

Given

x² + 4x + 4 ← is a perfect square of the form

(x + a)² = x² + 2ax + a²

Compare like terms

a² = 4 ⇒ a = \sqrt{4} = 2, thus

x² + 4x + 4 = (x + 2)²

6 0
3 years ago
Other questions:
  • What is 11 9/18 as a mixed number in simplest form
    12·1 answer
  • Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam
    7·1 answer
  • Show that f(x)=(x-2)^3+8 is one to one algebraically
    15·1 answer
  • WILL GIVE 20 POINTS TO THE BRAINLIEST ANSWER
    10·1 answer
  • Graph the linear equation y=7/2
    12·1 answer
  • Find the two partial products in this problem. <br> 1,407x14
    8·1 answer
  • Item 9
    14·1 answer
  • Why is it called numerator and denominator?
    14·1 answer
  • A candy bar has 250 calories and a small carrot has 15 calories. Write an algebraic expression to find how many calories are in
    8·1 answer
  • A theatre has 1,450 seats. If 42% of these are balcony seats. How many balcony seats does the theatre have?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!