For the graph shown, select the statement that best represents the given system of equations.Number graph ranging from negative five to five on the x axis and negative six to four on the y axis. A line with a negative slope is drawn on the graph.
6x + 4y = 2
3x + 2y = 1

A.
not enough information

B.
coincident

C.
consistent and independent

D.
inconsistent

Answers

Answer 1

Answer:

Answer:

B. coincident

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

$(6x + 4y)/(2)=(2)/(2)\n(6x)/(2)+(4y)/(2)=1\n 3x+2y=1$

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

Answer 2

Answer:

After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.

The answer is choice B). Coincident.

I hope it helps, Regards.

Related Questions

3.242424 as a mixed number
A ball is dropped from a height of 30 feet. The ball bounces. After each bounce, the maximum height of the ball is 80% of the previous height. Write an nth term formula to model the situation and approximate the maximum height of the ball after 6 bounces.
On a Venn diagram, shade the region:1. AnB2. (BnC)nA
How do I get the brainliest answer?
What percent is 150 sq ft of 3000 sq ft

Which of the following values of x makes the inequality true?x + 35 < 83

A. 53
B. 48
C. 51
D. 49

Answers

Hey there, subtract 35 from both sides would give you x<48, Therefore, the answer is B. 48

53 + 35 = 88
48 + 35 = 83
51 + 35 = 86
49 + 35 = 84
All these values are all greater or equal to 83. I'm pretty sure that all of these answers are incorrect... Unless you were supposed to make the < sign into a ≤...

Why is it a good idea to check to see if your answer is reasonable?a. if your answer is reasonable, you have probably done the problem correctly
c. you just need to solve for the variable
b. if you understand the problem, you will not need to check your answer
d. to get the correct answer, you will need to draw a picture
Mark this and return

Answers

Answer:

Option: a is the correct answer.

a. if your answer is reasonable, you have probably done the problem correctly.

Step-by-step explanation:

Checking for reasonableness is a process by which students evaluate estimations to see if they are reasonable guesses for a problem.

So, a good idea to check to see if your answer is reasonable is:

a. if your answer is reasonable, you have probably done the problem correctly.

( Since a reasonable answer is just a estimation of the problem it can't be claimed to be true but it is just a probable estimation ).

It is a good idea to check to see if your answer is reasonable because a. if your answer is reasonable, you have probably done the problem correctly.

ray wants the larger of two aquariums.One aquarium has 20 in. by 20 in. and has a height of 18 inches.The other aquarium has a base that is 40 in. by 12in. and has a height of 12 in. Which aquarium is larger? By how much?

Answers

To find these measurements, just multiply.

20 x 20 = 400 x 18 = 7200 in.
40 x 12 = 480 x 12 = 5760 in.

So, the first aquarium is larger.
Subtract to find the difference.

7200 - 5760 = 1440 in.

the first A. 20 x 20 x 18= 7200
the second A 40 x 12 x 12= 5670

the first is bigger by 1530

3x+4+5x+10 simplify combining like terms

Answers

Answer:

$\boxed{ \bold{ \sf{ \huge{ \bold{8x + 14}}}}}$

Step-by-step explanation:

$\sf{3x + 4 + 5x + 10}$

Collect like terms

Like terms are those which have the same base. Only coefficient of like terms can be added or subtracted.

⇒ $\sf{3x + 5x + 4 + 10}$

⇒ $\sf{8x + 4 + 10}$

Add the numbers

⇒ $\sf{8x + 14}$

Hope I helped!

Best regards!!

Answer:

$\Large \boxed{8x+14}$

Step-by-step explanation:

$3x+4+5x+10$

Grouping the like terms.

$(3x + 5x) + (4+10)$

Combining the like terms.

$8x+14$

The area of a square is 72. what is the longest straight line that can be drawn between any two points of the square

Answers

The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then

s^2 = 72
s = 6 sqrt(2)

Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square)

c^2 = a^2 + b^2

Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72

The length of the longest line is 72.

What times what equals 12 but still equals 11? the equation is 5n to the 2nd power + 19+12

Answers

OKay first you have to combine your like terms 19+12=31 then you have to divide by 5n squared which would be 6.2

Other Questions

Find the value of xy z

Sue has a balance of $35in her checking account. She writes one of the check for$10,and three checks for $9 each what is her balance now

I need to know what mathematical operation applies to Problem: Tricia manages the front office at a local doctor's office and needs to figure out payroll for the front office clerk that is paid hourly. Tricia also has to make sure that she keeps the front office clerk under 40 hours a week to avoid overtime pay. The front office clerks time sheet reads as follows : Monday Tuesday Wednesday Thursday Friday 480 minutes 450min. 495 min. 480 min. 300min. Monday Tuesday Wednesday Thursday Friday 480 min. 480 min. 480 min. 480 min. 480 min. Please show what I need to do.

The area of a rectangle is 195 dm². The width is two less than the length. What is the length and the width of tge rectangle?