A system of two linear equations is consistent and dependent. What is true about the graph of the equations?
A.
The lines are the same.
B.
The lines are parallel, but have different intercepts.
C.
The lines intersect.
D.
The lines are perpendicular.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer 1

Answer:

The best answer is " The lines are the same " ⇒ A

Step-by-step explanation:

A system of two linear equations can have:

One solution ⇒ 2 intersected lines at a pointAn infinite number of solutions ⇒ same lineNo solution ⇒ 2 parallel lines

If a system has at least one solution, it is called consistent

If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a pointIf a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line

If a system has no solution, then it is called inconsistent. they represented by two parallel lines

Let us use these facts above to solve our question

∵ A system of two linear equations is consistent and dependent

∴ The system has an infinite number of solutions

∴ The system represented graphically by the same line

The best answer is " The lines are the same "


Related Questions

Order 51.835, 51.836, 51.736, and 51.837 in decreasing order.

Answers

Answer:

D.)51.837, B.)51.836, A.)51.835, C.)51.736

Step-by-step explanation:

its decreasing in this order

Answer:

51.837 > 51.836 > 51.835 > 51.736

a certain bike travels 135 feet in 20 rotations of its wheels. how far will the bike travel in 45 rotations

Answers

Answer:

303.75

Step-by-step explanation:

135/20=6.75

6.75•45= 303.75

someone please help me from 6 to 9 please

Answers

Answer:

For 6.) y=-2x+1; 9.) y=-7/3x-5

Step-by-step explanation:

Slope intercept form is y=mx+b. m would be the slope (-2 and -7/3) and y is the y-int (1 and -5).

Please help me with this!
I will give you a thanks!

Answers

-2 + 6
.................
-2+6 . Count the spaces . That’s what I used to do

Help me plz
It’s 8th grade math
And ion know what the answer is..

Answers

Answer:

B slope = 1 and y intercept is 3

Step-by-step explanation:

The y intercept is where the line crosses the y axis (x is zero).

The slope can be figured by how far the line rises and runs to the next intersection of lines. In this case it goes up 1 and to the right 1. The slope would be 1/1 or 1

Answer:

Slope =1 ; Y-intercept=3

Step-by-step explanation:

The y intercept would be the point on the vertical line that touches the graph which in this case is three.

then to get to the next point that's on the line would have to move over 1 once to the right and one time up. so the slope is 1 over 1 which would equal 1.

4x+2 = 2(2x+1) what is the answer?

Answers

Answer: 0=0

Step-by-step explanation: Simplify

Evaluate 9sigma n=5 3n+2

Answers

Answer:

17

Step-by-step explanation:

make me as brienliest

A school has 726 students. There are 340 boys. About what percent of the students are girls?

Answers

Answer: 348 girls so somewhere around 80 percent

Step-by-step explanation:

Identify the terms, coefficients, and constants in the expression.
7h + 3
I need help now!!!!!

Answers

Step-by-step explanation:

7 is the coeffiecient

3 is the constant

Which statements about opposites are true? (Select all that are correct)

Answers

You need to show a picture

At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?

Answers

Answer:

12

Step-by-step explanation:

if 3 magazines = $18

$72/$18 = 4 sets of 3

4 x 3 = 12 magazines

How many 2/3 cup servings are in 28/3 cups of yogurt

Answers

The answer fam is..... 14

math more math and more math i mark as brainly​

Answers

Answer:

It's the first one

Its A

PLEASE MARK ME AS THE BRAINLIEST!!!!!!!!!!!!!!!!!!!!

please help I will give a lot of points


btw its 2 questions​

Answers

ummmmmmm.. wait ima come back to it let me work it it

Answer:

please wait two mins I will give you the answer, but which question 2 or 3

Hey, I just need to know if I was correct with my test.

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Statistics,

If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175

so for 1 hour, he gets = 175÷20 => $8.75 per hour

, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,

$8.75 + $1.05 (per hour)= $9.80

so now his total pay is given as,

E= 9.80h

Option D.) is correct

Help me find this answer please (honest and most best answers only)

Answers

The baby whale would be 35 years old.

[tex]7*10^3[/tex] in standard notation is 7000

To find the whales age, you must divide 7000 by 200, which is 35.

Help I’m stuck and confused

Answers

Answer:

-8

Step-by-step explanation:

A triangle is always 180 degrees

(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)

65 + 40 = 105

180 - 105 = 75

75 - 83 = -8

Answer:

the angle itself is 75 degrees so x=-8

Step-by-step explanation:

A segment has endpoints A (-1, 1) and B (8, 4) .
If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____?

Answers

Answer:

fafafsghdjdbdbdgsysvdve. wwmsk

simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920

Answers

1. how do i simplify them like in fractions?

Find the directional derivative of the function at the given point in the direction of the vector v. g(p, q) = p4 − p2q3, (2, 1), v = i + 3j

Answers

Answer:

-4√10 / 5 or -8√10 / 5

Step-by-step explanation:

See attachment for calculation

Suppose that a sample of n students at the same university​ (instead of n​) determines that ​% of the sample use the web browser. At the level of​ significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of ​%?

Answers

Complete Question

The worldwide market share for a web browser was 20.5​% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.

At the 0.05 level of​ significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5​%?

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of  20.5 ​%?

Step-by-step explanation:

From the question we are told that

          The population proportion is  [tex]p = 0.205[/tex]

          The sample size is  n  =  200

          The number that uses the browser is  k =  50

          The level of significance is  [tex]\alpha = 0.05[/tex]

         

Generally the sample proportion is mathematically represented as

       [tex]\^ p = \frac{50}{200}[/tex]

=>    [tex]\^ p = 0.250[/tex]

The null hypothesis is  [tex]H_o : p = 0.205[/tex]

The  alternative hypothesis  is  [tex]H_a : p > 0.205[/tex]

Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]

=>       [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]

=>       [tex]z = 1.5764[/tex]

Generally the area under  [tex]z = 1.5764[/tex]  to the right is  

     [tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]

From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence

 The decision rule is

Fail to reject the null hypothesis

   The conclusion is

There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 ​%?

What is a factor of 12

Answers

Answer:

2 x 3 (prime number, 2 distinct)

Step-by-step explanation:

how many hours are there in 1 month if there are 31 days in a month. Will mark brainliest.

Answers

Answer:

744

Step-by-step explanation:

in one day there is 24 hours if you multiply 24*31 it will be 744hours in total .24*31=744so you multiply the amount of time with the amount of days :)hope you get it !please mark me brilliant if im rightthank you :3

Match the numbers with the correct label

Answers

Answer:

a= -3/7

b= -0.2

c = -2/8

Step-by-step explanation:

Answer:

-3/7

-2/8

-0.2

Step-by-step explanation:

i did it on khan

The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x? If it helps, consider an example where you substitute 3 for x, 5 for y, and 8 for z

Answers

Answer:

The equation x + y = z relates the whole numbers.

Hopefully, this helps! :D

Ask your question below!

To determine whether price has an impact on sales of specialty coffees, the managers kept track of how many pounds of each variety of coffee were sold last month.

PRICE PER POUND POUNDS SOLD
Mean $8.75 4.50 lb
Standard Deviation $3.63 18.33 lb
Correlation r -.927

a. The response variable is__________ and the explanatory variable is_________
b. Based on the statistics shown above, the slope of the estimated regression line that relates the response variable to the predictor variable is:______

i. 0.846.
ii. -4.681
ii. -0.858.
iv. 45.459
v. -8.999.

Answers

Answer:

A. Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. ii. -4.681

Step-by-step explanation:

A. Based on the statistics that was shown in the given information above the:

Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. Calculation to determine slope of the estimated regression line that relates the response variable to the predictor variable

Using this formula

Slope =r*Sy/Sx

Let plug in the formula

Slope=-0.927*18.33/3.63

Slope=-16.99191/3.63

Slope=-4.681

Therefore , the slope of the estimated regression line that relates the response variable to the predictor variable is: -4.681

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought five notebooks and five thumb drives for $110. Lisa bought three notebooks and five thumb drives for $102. Find the cost of each notebook and each thumb drive.

Answers

Answer:

Notebooks cost $4

Thumb drives cost $18

Step-by-step explanation:

x=$ for notebooks

y=$ for thumb drives

5x + 5y = 110 ----> for Troy

3x + 5y = 102 ----> for Lisa

Use subtraction to find x.

(5x + 5y = 110)

-(3x + 5y = 102)

_____________

2x + 0y = 8

2x = 8

x=4

Sub 4 for x into 5x + 5y = 110

20 + 5y = 110

-20 -20

___________

5y = 90

y=18

Notebooks cost $4

Thumb drives cost $18

Barry used a number line to simplify a numerical expression on a math test.
Which number did Barry add to get a result of 4 on the numerical expression he simplified?
A: 4
B:-14
C:-6
D:14

Answers

Answer:

i think its 14 if the number starts all the way at -10 youd have to add 14 to get to four


Help please !!! ASAP

Answers

Answer:

Plz rate five star and thanks me k your answer is D

Step-by-step explanation:

Solving the for angle NMP. *

Answers

Answer:

50°

Step-by-step explanation:

Angle NMP is an angle that has its vertex on a point along the circumference of the circle, thus, angle NMP is referred to as an inscribed angle of the circle.

The measure of an inscribed angle is equal to half of the measure of the arc it intercepts.

Therefore, the following equation shows the relationship between inscribed angle NMP and arc NP:

m<NMP = ½ × measure of arc NP

m<NMP = ½*100

m<NMP = 50°

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