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
Stella [2.4K]
3 years ago
12

For each system of equations, drag the true statement about its solution set to the box under the system?

Mathematics
1 answer:
natta225 [31]3 years ago
3 0

Answer:

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- The system of equation has zero number of solution if the coefficients

 of x and y are the same and the numerical terms are different

- The system of equation has infinity many solutions if the

   coefficients of x and y are the same and the numerical terms

   are the same

- The system of equation has one solution if at least one of the

  coefficient of x and y are different

* Lets solve the problem

∵ y = 4x + 2 ⇒ (1)

∵ y = 2(2x - 1) ⇒ (2)

- Lets simplify equation (2) by multiplying the bracket by 2

∴ y = 4x - 2

- The two equations have same coefficient of y and x and different

  numerical terms

∴ They have zero equation

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

∵ y = 3x - 4 ⇒ (1)

∵ y = 2x + 2 ⇒ (2)

- The coefficients of x and y are different, then there is one solution

- Equate equations (1) and (2)

∴ 3x - 4 = 2x + 2

- Subtract 2x from both sides

∴ x - 4 = 2

- Add 4 to both sides

∴ x = 6

- Substitute the value of x in equation (1) or (2) to find y

∴ y = 2(6) + 2

∴ y = 12 + 2 = 14

∴ y = 14

∴ The solution is (6 , 14)

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

You might be interested in
46 out of 200 dogs are short haired breeds. What percent of dogs are not short haired breeds
Ivahew [28]

Hi!

46 out of 200 are short haired, which means that 200 - 46 = 154 out of 200 are not short haired. In percentages, that is:

154/200 = 77/100 = 77%

Hope this helps!

8 0
3 years ago
If a wagon wheel has a diameter of 70cm, how many revolutions would it take to travel 66 METERS?
ddd [48]

Answer:

30 revolutions

Step-by-step explanation:

to calculate the revolution of the wheels in 66 metres we need to get the circumference

circumference = 2πr, r = radius (diameter divided by 2) but from the formula of circumference we ca rewrite it as πd= 3.14 x 70 = 219.8cm

next convert 66 metres to cm

100cm = 1m

x= 66m

cross multiply

x= 66m x100cm/1m= 6600cm

revolutions in 66metres = 6600cm/219.8cm = 30.0272975 ≅30 revolutions

6 0
3 years ago
The management of a large airline wants to estimate the average time after takeoff taken before the crew begins serving snacks a
Dahasolnce [82]

Answer:

The answer is "Option a, Option b, and Option d".

Step-by-step explanation:

In the given question it is used to stratifying the sampling if the population of this scenario it flights takes off when it is divided via some strata.

  • In option a, In this case, it stratified the sampling, as the population of planes taking off has been divided into the days of the week.
  • In option b, It also used as the case of stratified sampling.
  • In options c, it is systematic sampling, that's why it is wrong.
  • In option d,  It is an example of stratifying the sampling.
3 0
2 years ago
7 + (10 − 4)2 ÷ 4 × 1\8
natta225 [31]
I’m pretty sure the answer is 12

6 0
3 years ago
Which of the following is true of rounding the optimized solution of a linear program to an integer?
VashaNatasha [74]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

the optimized solution of a linear program to an integer as it does not affect the value of the objective function.

As if we round the optimized solution to the nearest integer, it does not change the objective function .

while it is not true that it always produces the most optimal integer solution or feasible solution.

Hence, Option 'c' is correct.

6 0
3 years ago
Other questions:
  • What is the solution to the inequality - 3x <7.5?
    9·2 answers
  • Determine whether each sequence is arithmetic or geometric. sequence 1: 32, 16, 0, –16, ... sequence 2: 32, 16, 8, 4, ...
    6·1 answer
  • In 7,034.56, in which place in the 7
    8·2 answers
  • Eric had 15.3 feet of fishing line. He cut off a piece and had 38.4 inches left. How long was the piece he cut off?
    12·1 answer
  • I am a rectangular, and my area is 80 squares inches. My width is 2 inches shorter than my length . What is muy perimeter ?
    11·1 answer
  • Please assist, I'm really bad with word problems
    12·1 answer
  • Please help ASAP!!!!!!!!!
    5·1 answer
  • Freeeeeee pointssssssssssssssssss
    13·2 answers
  • Mia and Carlos are hiking on a trail where they start 16 miles apart. If Mia can average 2.3 miles per hour while hiking and Car
    12·1 answer
  • Please help me im stuckkm
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!