Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4xâ’4y=â’4x 4 Select the correct answer from the drop-down menu.

Answers

Answer 1

The system of equations is consistent and dependent and it can be determined by using the properties of the equation.

Given that,

System of the equation,

[tex]\rm y=4x-4\\y=-4x+4[/tex]

We have to determine,

The system of equations is consistent and independent, consistent and dependent, or inconsistent.

According to the question,

When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.

System of the equation,

[tex]\rm y=4x-4\\y=-4x+4[/tex]

On adding both the equation,

[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]

Substitute y = 0 to evaluate the value of x.

[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]

The solution of the equation is (1, 0).

Hence, The system of equations is consistent and dependent.

To know more about the System of equations click the link given below.

https://brainly.com/question/12895249


Related Questions

will mark brainiest

Hans is riding his bicycle. He takes 6 hours to ride 38.4 kilometers. What is his speed?

___ kilometers per hour

Answers

6.4 kilometers per hour

I need help with this

Answers

Answer:

a and b

Step-by-step explanation:

Some nuts cost $22/kg. How much would 150 g cost?

Answers

Answer:

$3.30

Step-by-step explanation:

1 kg = 1000 g

therefore, 150 g = 0.15 kg

multiply the cost by the amount

22 x 0.15 = 3.3, or $3.30

Someone please help me

Answers

the answer for this question is -3

PLEASE ANSWER THIS QUESTION!!!! ASSIGNMENT DUE BY 3:15!!!!!!
create an event that would give me a PROBABILITY of 1/2

Answers

Answer:

This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?

There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.

Hope this helps!

a train which is 100 meters long is traveling at a speed of 90km per hour. How many seconds will it take for this train to pass completely through a 300 meter tunnel

Answers

The train will take 16 seconds to pass completely through a 300 meter tunnel.

Let suppose that the train moves itself at constant velocity, the vehicles needs to cover the tunnel length ([tex]L[/tex]) and its length ([tex]l[/tex]), both in meters, to pass through the tunnel, the time taken by the train ([tex]t[/tex]) is described by the following kinematic formula:

[tex]t = \frac{L+l}{v}[/tex] (1)

Where [tex]v[/tex] is the train velocity, in meters per second.

If we know that [tex]L = 300\,m[/tex], [tex]l = 100\,m[/tex] and [tex]v = 90\,\frac{km}{h}\,\left(25\,\frac{m}{s} \right)[/tex], then the time taken by the train is:

[tex]t = \frac{300\,m + 100\,m}{25\,\frac{m}{s} }[/tex]

[tex]t = 16\,s[/tex]

The train will take 16 seconds to pass completely through a 300 meter tunnel.

To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/12920060

can someone help me with these? it's a study guide and I lost the notes I took for these

Answers

Step-by-step explanation:

[tex]thanks \: you \: the \: point \\ pls \: follow \: me[/tex]

I need help anyone please help.

Answers

Answer:

1/4 or 1/2 good luck my  guy

Step-by-step explanation:

The blueprint for Moreno​'s living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new​ blueprint? (The width is 8)

Answers

If the 8 you’re talking about is in inches then it would be 16 feet but if it’s 8 feet then it’s 4 inches

6) An ice cream factory makes 200 quarts of ice cream in 5 hours. How many
quarts could be made in 12 hours? What was that rate per day?

Answers

480 quarts in 12 hours, 960 in one day :)

Answer:

480 quarts could be made in 12 hours

Rate: 40 quarts per hour

Step-by-step explanation:

Rate: 200/5 = 40 quarts per hour

(40)(12) = 480 quarts

HELP. GIVING BRAINLIST. BRAINLIST. DONT MESS AROUND PLEASE IM DESPERATE.

Answers

Answer:

make me brain list

thank u

Step-by-step explanation:

if x(square) plus y(square) is 8.and the froduvt is . what are x and y?​

Answers

Given :-

x² + y² = 8Product of x and y is 4 .( say )

To Find :-

The value of x and y .

Answer :-

Here we are given that,

[tex]\red{\longrightarrow}[/tex] x² + y² = 8 .

And ,

[tex]\red{\longrightarrow}[/tex] xy = 4

[tex]\red{\longrightarrow}[/tex] y = 4/x

So that ,

[tex]\red{\longrightarrow}[/tex] x² + (4/x)² = 8

[tex]\red{\longrightarrow}[/tex] x² +16/x² = 8

[tex]\red{\longrightarrow}[/tex] x⁴ + 16 = 8x²

[tex]\red{\longrightarrow}[/tex] x⁴ - 8x² + 16 = 0

Assume k² = x⁴ and k = x²

[tex]\red{\longrightarrow}[/tex] k² - 8k + 16 = 0

[tex]\red{\longrightarrow}[/tex] k² -4k -4k +16 = 0

[tex]\red{\longrightarrow}[/tex] k(k-4) -4(k-4) = 0

[tex]\red{\longrightarrow}[/tex] (k-4)² = 0

[tex]\red{\longrightarrow}[/tex] k = 4

So ,

[tex]\red{\longrightarrow}[/tex] k = x²

[tex]\red{\longrightarrow}[/tex] 4 = x²

[tex]\red{\longrightarrow}[/tex] x = √4

[tex]\red{\longrightarrow}[/tex] x = ±2

Hence the required answer is ±2.

The values of x and y of the given function are; x = y = ±2

Roots of a Polynomial

We are given;

x² + y² = 8   -----(1)

Product of x and y = 4;

Thus; xy = 4

Now, making y the subject we have;

y = 4/x

Putting 4/x for y in eq 1 gives us;

x² + (4/x)² = 8  

x² + (16/x²) = 8

Multiply through by by x² to get;

x⁴ + 16 = 8x²

⇒ x⁴ - 8x² + 16 = 0

using online polynomial root calculator, we have x = ±2

Thus, y will also be ±2

Complete question is;

If x² + y² = 8 and the product of x and y is 4, what are x and y?

Read more about roots of a polynomial at; https://brainly.com/question/10702726

Classify the following triangle as acute, obtuse, or right.
O A. Acute
O B. Obtuse
O C. Right
O D. None of these

Answers

Answer:

It is an obtuse angle so correct

The given triangle is an obtuse angle triangle.

The correct option is (B).

What is a Triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data in the diagram:

We are given a triangle and all the angles of the triangle are also given.

We have to find out the type of the triangle.

If all angles of a triangle are less than 90°, then it's an acute angle triangle.

If any angle of the triangle is greater than 90°, then it's an obtuse angle triangle.

If any angle of the triangle is equal to 90°, then it's a right angle triangle.

For the given triangle:

30° < 90°

24° < 90°

126° > 90°

The given triangle is an obtuse angle triangle.

Hence, the given triangle is an obtuse angle triangle.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ7

A 3-gallon jug of water costs $16.80. What is the price per cup?

Answers

Answer:

$0.35

Step-by-step explanation:

A gallon is equal to 16 cups, so the 3-gallon jug is equal to 48 cups. You when then divide $16.80 by 48, to get $0.35 or the price per cup! Hope this helps :)

Answer:

0.35

Step-by-step explanation:

The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.

Answers

Answer: 2.718

Step-by-step explanation:

You don’t need the star there but it is Euchre’s number when you look it up it is 2.718

Help pleaseeeeieneeiejne

Answers

Answer:

Pretty sure the domain for this is all positive numbers and range is all positive numbers over 1.

Step-by-step explanation:

domain refers to x values.

range refers to y values.

solve the equations 3/4x = 21

Answers

What you need to do is divide 21 by 3/4 and when you do divide it you should get 28 as a whole.
Answer:x = 28Step-by-step explanation:3/4x = 21=> 1/4x = 7=> 4 x 1/4x = 7 x 4=> x = 28Conclusion:

Therefore, the answer is 28.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8

Answers

Answer:

  {5, 6, 7}

Step-by-step explanation:

The solution to the inequality is ...

  16 -r > 8 . . . . . given

  16 -8 > r . . . . . add r-8

  8 > r . . . . . . . simplify

The values in the replacement set that are less than 8 are {5, 6, 7}.

What is the slope of the graph of
y= 5/2x+3?

-

Answers

Answer:

The slope would be 5/2.

Step-by-step explanation:

Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.

What is the measure of a third angle of this triangle

Please explain how to solve in a easy way

Answers

All triangles add up to 180 so it’s 20°

Ricardo changed $600 into pounds when the exchange rate was $1 = 0.60 pounds
He later changed all the pounds back into dollars when the exchange rate was $1 = 0.72 pounds
How many dollars did he receive ??

Answers

600 x 0.60 = 360 pounds

360 /0.72 = 500

He got $500

HELP PLEASE!!!!!!!!!!!!

Answers

The answer to this question would be B.35

Calculate the volume of cuboids with the following dimensions
length= 1.2 m, breadth= 1 m, height= 150 cm​

Answers

Answer:

1.8 m^3

Step-by-step explanation:

We just have to multiply the lenghts, but careful: the height is in cm. 100 cm = 1 m. Therefore 150cm = 1,5m.

V = 1.2 m * 1m * 1.5m = 1.8 m^3

pls help i really dont understand this

Answers

Answer:

Slope: -1

y intercept: -3

equation: y=-1x-3

Step-by-step explanation:

The y intercept is when x is zero.

someone pleeeeease help me

Answers

Answer:

22.4cm

Step-by-step explanation:

The formula for the diagonal is:

[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]

Where:

l is the length (AB, CD)

b is the width (BC, AD)

h is the height (AE, BF, CG, DH)

We know d, l, b and we can calculate h

[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]

We evaluate both sides to ² to remove the square root:

[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]

[tex]625 = 164 + h {}^{2} [/tex]

To find the value of h we have to do the square root, as it is to the ²:

[tex] \sqrt{625 - 124} = h[/tex]

[tex] \sqrt{501} = h = 22.4cm[/tex]

How many match sticks will be in the 8th picture?​

Answers

Hello again. :)

Answer: 33 match sticks

From the first picture, we are given 5 match sticks.

From the second picture, we are given 9 match sticks. The difference between the match sticks is 4.

From the third picture, we are given 13 match sticks. The difference between the match sticks is again 4.

If each image increases the number of match sticks by 4, then the fourth image must have (13 + 4) = 17 match sticks.
The fifth image must have (17 + 4) = 21 match sticks.
The sixth image must have (21 + 4) = 25 match sticks.
The seventh image must have (25 + 4) = 29 match sticks.
And the eighth image must have (29 + 4) = 33 match sticks

Can someone please give me the (Answers) to this? ... please ...

Answers

a.) The SAS Triangle Congruence Postulate states that if if a pair of corresponding sides, a pair of corresponding angles, and another pair of corresponding sides in two triangles are congruent, then the two triangles are congruent. Therefore, we can see that in both triangles, we are only shown a corresponding, congruent right angle. We need two pairs of sides with the corresponding right angles to prove that the triangles are congruent via SAS. We would need to know the length of side VX, and it’s corresponding side length, XV. We would also need to know the side lengths of WV and it’s corresponding side length, XK. We would then need some sort of symbol to represent a congruent relationship if the side lengths are congruent. Then, we would have two pairs of corresponding, congruent sides, and a pair of corresponding, congruent angles. Then, we would have a Side-Angle-Side.

b.) We are given two triangles with a pair of corresponding, congruent sides. We need to have a pair of corresponding, congruent angles, another pair of corresponding, congruent sides to follow SAS. Therefore, we would need to know the angle measures of angles UVW and KVM. We know that they are vertical angles, so they are indeed congruent. Now, we would need to know the side lengths of sides WV and VM. If those sides are congruent, then we have a pair of corresponding, congruent sides, a pair of corresponding, congruent angles, and another pair of corresponding, congruent sides, making SAS.

c.) The Angle Side Angle Postulate states that if there is a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles in two triangles, then the two triangles are congruent. We have a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, but we need another pair of congruent, corresponding angles. Therefore, we would need to know the angle measures of angles MLK and STU. Then we would have a a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles.

Please give Brainliest! This took a lot of time!

Answer:

To be congruent at b. no. UV= VK,V=V,UW=KM.

To be congruent at C no. M=S,LM=ST,LK=TU.

Please help! (Only answer if correct)

Answers

Erica used 50 pounds of type B coffee

Let the number of pounds of type A coffee be A

Let the number of pounds of type B coffee be B

Total number of pounds = 123

A   +  B   =   123.........................................(1)

Cost of 1 pound of type A coffee = $5.95

Cost of 1 pound of type B coffee = $4.40

Total cost = $654.35

5.95A  +  4.40B = 654.35..........................(2)

Make A the subject of the formula in equation (1)

A  =  123  -   B........................(3)

Substitute equation (3) into equation (2)

5.95(123 - B)  +  4.40B  =  654.35

731.85  -  5.95B  +  4.40B  =  654.35

5.95B  -  4.40B  =  731.85 - 654.35

1.55B   =   77.5

B   =  77.5/1.55

B   =   50

Erica used 50 pounds of type B coffee

Learn more on system of equations here here: https://brainly.com/question/13729904

if sarah works 40 hours a week and earns 660 dollars per payroll. how much does she make an hour

Answers

Answer:16.50

Step-by-step explanation: hope it helps

Answer:

16.50

Step-by-step explanation:

if m angle 2 =70, find m angle 6

Answers

m angle 6= 210

I'm not sure about this question

Other Questions
the high electrical conductivity of metals is primarily due to Sen Corp., a publicly-traded, mid-cap company, wanted to obtain $30 million in new capital to expand its Iowa plant. Cost of capital was a factor in making the decision. Sen Corp. could either issue new preferred stock or new debentures. Sen Corp.'s underwriter estimated that preferred stock should have an annual dividend payout of $6 and an issue price of $103 per share. The debentures should have a coupon interest rate of 9% and an issue price of $101. Sen Corp.'s marginal income tax rate was 40%. Required:What approaches describes Sen Corp.'s best strategy? How to do a 10 marker for history An investor makes an investment of $1,000,000.00 to buy a small, select service hotel in Daytona Beach. She achieves a$200,000 profit on that investment. In this example, what was her ROI?Anyone?? someone help me with this pls did I get this right please help me? room invasions are not a significant security issue for hotels located within the united states. PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!Find the solution of the system of equations.-2x-6y=50-2x+9y=-40 A mosquito flies at a speed of 40.2 meters per minute. At this rate, how many meters can it fly in 5 minutes?PLZ HELP Part AWhich inference can be made about life in Alaska during the winter based on the article "Life Below Zero"?It takes a great deal of preparation to survive Alaska's brutal winters.The coldest days in Alaska are when there is snow and heavy cloud cover.Alaskans sometimes find it difficult to keep their homes warm on 50 degree days.Alaskans have adapted to extreme weather and don't find it challenging.Question 2Part BWhich evidence from the passage best supports the answer in Part A?"Additionally, most buildings have backup sources of energywood stoves, battery-powered devicesfor times of extreme cold.""for the people of Fairbanks and beyond, sunny winter days provide no real relief from bitter cold. Instead, clouds are most welcome during a cold snap.""Residents of Fairbanks know what to wear to stay safe and warm. This includes insulated head coverings, gloves, and footwear....Alaskans also winterize homes and vehicles.""At very low temperatures, plastics crack, tires freeze into odd shapes, and propane (a fuel used for cooking and heating) thickens so it does not flow properly." Read the poem and answer the question.[1]I wandered lonely as a cloudThat floats on high o'er vales and hills,When all at once I saw a crowd,A host, of golden daffodils;[5]Beside the lake, beneath the trees,Fluttering and dancing in the breeze.Continuous as the stars that shineAnd twinkle on the milky way,They stretched in never-ending line[10]Along the margin of a bay:Ten thousand saw I at a glance,Tossing their heads in sprightly dance.The waves beside them danced; but theyOut-did the sparkling waves in glee:[15]A poet could not but be gay,In such a jocund company:I gazedand gazedbut little thoughtWhat wealth the show to me had brought:For oft, when on my couch I lie[20]In vacant or in pensive mood,They flash upon that inward eyeWhich is the bliss of solitude;And then my heart with pleasure fills,And dances with the daffodils.Wordsworth uses the word "dance" throughout his poem. In a paragraph of 3-5 sentences, analyze how the poet uses "dance" in stanzas 1 and 4. Who is dancing in these two stanzas? In each instance, what does the use of the word "dance" reveal about Wordsworth's view of nature? 1. Which among the sports you stated above are you familiar with? What are the factors of [tex] {x}^{2002} - 1[/tex] ?I want step-by-step explanation. Spam free answer required Four students in ms. Alton's class shared the correlation coefficients derived from their data as follows: student a: r = 0. 87 student b: r = 0. 78 student c: r = 0. 79 student d: r = 0. 86 whose data had the strongest correlation? student a student b student c student d. What is an allotrope?a) The same atom with a different number of neutronsb) A radioactive substancec) An alternative form of an elementd) Diamond Which of the following best explains the changes on the map between 1644 and 1800? For f(x) = 4x+1 and g(x) = x^2 -5, find (f-g)(x) Three people are trying to move a box. Which set of forces will result in a netforce on the box of 20 N to the left? What are the advantages of cell division using meiosis? Write the slope-intercept form of the equation of the line.