Determine whether the following system is consistent or inconsistent and if it is independent or dependent.

Y=2x-3 and 2x-2y=2​

Answers

Answer 1

9514 1404 393

Answer:

  consistent, independent

Step-by-step explanation:

Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...

  y = x - 1

The x-coefficients of this and the first equation are different, so the system is consistent and independent.

__

A system is independent if the equations describe different lines.

A system is inconsistent if the equations describe parallel lines.

Here, the different lines are not parallel, so the system is independent and consistent.


Related Questions

Which equation is the inverse of y = x2 + 16?
O y = x2 – 16
y=+√x - 16
y=+NX-16
y = x2 - 4

Answers

Hi there!

[tex]\large\boxed{y = \pm \sqrt{x - 16}}[/tex]

To solve for the inverse, swap the x and y variables:

x = y² + 16

Isolate for y by subtracting both sides by 16:

x - 16 = y²

Square root both sides:

√(x - 16) = y

Add the plus/minus sign:

y = ±√(x - 16)

Answer:

c

Step-by-step explanation:

(help) what type of triangle is shown below

Answers

pretty sure it’s obtuse !

Round 386.565 to the nearest hundredth.

Answers

386.57
Hope this helps^^^^
Answer: 386.57

Explanation: the 5 was 5 or higher so you turn it into a 0 and pump the number your rounding up.

sum of the two angle is equal to 90 degree the ratio of measure of these is 4:5 I what are the measures of these two angle​

Answers

9x =90

x=90/9

=10

4×10= 40

5×10=50

atlas isttg dont ttake this down its a question and u have no right to

Answers

Answer:

13/16

Step-by-step explanation:

(1 point) Solve the initial value problem 8(sin(t)dydt+cos(t)y)=cos(t)sin4(t), for 0

Answers

Hi friend my name is peeny I am here to help you with any question you need! Ily!? It’s 72

Simplify (3√5 − 5√2 ) (4√5 + 3√2 )​

Answers

Answer:

=30−11√1

hope it helped!

Can someone please help me

Answers

Answer:

no no no no no no no no no non no

what is the value of side EC ?

Answers

Answer:

EC = 28'

Step-by-step explanation:

Since ∆KAR ~ ∆ENC, therefore, their corresponding side lengths will be proportional to each other.

By implication, we have:

EN/KA = EC/KR

EN = 96'

KA = 24'

EC = ?

KR = 7'

Thus:

96/24 = EC/7

Cross multiply

EC*24 = 7*96

EC*24 = 672

Divide both sides by 24

EC = 672/24

EC = 28'

The equation of a function
y = 2/3x+1/3 find the value of y
when x = -3
when x = 1 1/2​

Answers

Answer:

[tex]y = \frac{-5}{3}\\\\y = \frac {4}{3}[/tex]

Step-by-step explanation:

[tex]y = \frac{2}{3} x + \frac{1}{3}\\\\when \ x = -3 \\\\y = \frac{2}{3}(-3) + \frac{1}{3} = -2 + \frac{1}{3} = \frac{-6 + 1}{3}= \frac{-5}{3} \\\\When \ x = 1 \frac{1}{2} = \frac{3}{2}\\\\y = \frac{2}{3} \times \frac{3}{2} + \frac{1}{3} = 1+ \frac{1}{3} = \frac{3 + 1}{3}= \frac{4}{3} \\\\[/tex]

Solve for (0,2π]
2cos ß * sin ß = cos ß

Answers

Given :

An equation, 2cos ß sin ß = cos ß .

To Find :

The value for above equation in (0, 2π ] .

Solution :

Now, 2cos ß sin ß = cos ß

2 sin ß = 1

sin ß = 1/2

We know, sin ß = sin (π/6)  or sin ß = sin (5π/6) in  ( 0, 2π ] .

Therefore,

[tex]\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}[/tex]

Hence, this is the required solution.

What does the digit 8 represent in 687, 413?

Answers

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hundreths

Step-by-step explanation:

Question 10
Emma played a math game and had the five cards shown.
7
0
-4
2
-10
Her score was the sum of the numbers on these five cards. What was Emma's score?(6.3D)
F 3
G 23
H-5
J Not here

Answers

Answer:

option H: -5

Step-by-step explanation:

[tex]sum \ of \ 7, 0 , -4, 2, -10 = 7 + 0 + (-4) + 2 + (-10)[/tex]

                                  [tex]= (7 +2)+( -4) +( -10)\\=9 - 4 - 10\\=9-14\\=-5[/tex]

Given this graph of average giveaway, what is the best estimate for the expected giveaway value of this game?
graph
A. $1.70
B. $2.50
C. $3.00
D. $3.80

Answers

Answer:
C
Explanation:
look closely on the x-axis and move the last point all the way to the y-axis it’s in between 2 and 4 so $3.00 move your point from the y-axis and go down it’s either 100 or 0 100 would be $4.00 so i believe it’s C

Answer:

ans c hope it helps u take care have a nice day

The Drama Club is showing a video of their recent play. The first showing begins at 2:30 pm. The second showing is scheduled at 5:25 pm with a 30-minute break between showings. How long is the video in hours and minutes?

Answers

Answer:

the video is 4 hours and 25 minutes

Step-by-step explanation:

first you need to subtract 30 minutes from 5:25 giving you 4:55, then you need to find the difference in minutes from 2:30 to 4:55 by subtracting them or just counting because you cannot subtract units of time like they are real numbers. giving you 4 hours and 25 minutes

76% of the grade 5 pupils are girls.Express 76% as decimal.

a.0.076
b.0.76
c.7.6
d.76.0​

Answers

Express 76% as decimal is 0,76

76/100 = 0,76

When you change a % to a decimal, you move 2 places to the left. So B. 0.76or you can write it as .76

Help me pleas. Math is not my thing it read.

Answers

Answer:

74900

Step-by-step explanation:

just multiply the two numbers.

Answer: 74,900

Step-by-step explanation:

multiply

-2x^2+6x+1=-3x^2 solve to the nearest tenth

Answers

Step-by-step explanation:

The given equation is :

[tex]-2x^2+6x+1=-3x^2[/tex]

Taking all the terms to one side of the equation i.e.

[tex]-2x^2+6x+1+3x^2=0\\\\x^2+6x+1=0[/tex]

It is a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here, a = 1, b = 6 and c = 1

Put all the values,

[tex]x=\dfrac{-6\pm \sqrt{6^2-4(1)(1)}}{2(1)}\\\\x=-0.171\ and\ x=-5.82[/tex]

Hence, this is the required solution.

I need to know the answer for this so please help

Answers

Answer:

there is not solution the the equation (graph)

Step-by-step explanation:

when the lines are parallel and do not intersect they is no solution.

I need help with this question

Answers

the answer is D. since angle 2= 100 that also means angle 3, 6, and 7 will = 100.
when they are nect to each other they have to add to be 180.

angle 6 (100°) + angle 5 (80°) = 180°

Help me PLEASEEEEEEEEEEEEE

Answers

So basically I think it’s a and d

Answer:

B, C, D.

Step-by-step explanation:

These are all statistical questions since these can be answered by collecting data that vary.

g A radio station’s poll found that 68% of the respondents in a random sample of listeners plan to see a live music show in the next month. A 95% confidence interval for the population proportion was 0.68 ± 0.04. What is the correct interpretation of the 95% confidence interval? We can be 95% confident that 68% of all listeners will see a live music show in the next month. There is a 95% probability that between 64% and 72% of the listeners will see a live music show in the next month. There is a 5% chance that less than 64% or more than 72% of listeners will see a live music show in the next month. We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%. If we repeatedly took samples of the same size from listeners of this radio station, approximately 95% of those samples would have between 64% and 72% of the sample going to see a live music show in the next month.

Answers

Answer:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

A 95% confidence interval for the population proportion was 0.68 ± 0.04.

We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.

Thus, the correct answer is:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

please give answer would be cool
+

Answers

Step-by-step explanation:

38 to 18 m square / videos 400

If a vehicle to school and 72 mph how many feet does vehicle travel in one second

Answers

Answer:

The vehicle travels 105.6 feet in one second.

Step-by-step explanation:

This question is solved by proportions.

72 mph

One hour has 3600 seconds.

Each mile has 5280 ft.

So in 3600 seconds, the vehicle travels 5280*72 = 380160 feet. In one second, how many feet?

3600 seconds - 380160 feet

1 seconds - x feet

Applying cross multiplication:

[tex]3600x = 380160[/tex]

[tex]x = \frac{380160}{3600}[/tex]

[tex]x = 105.6[/tex]

The vehicle travels 105.6 feet in one second.

1.
What is the range of this data set?
07, 43, 9, 35, 38, 13, 24, 41
36
35
24
26

Answers

43-7= 36

Range is highest number minus smallest number

the answer is 36 (A.) because to find range is gonna be the largest number minus the smallest number. so it would be 43 - 7 and you get 6

Somebody help me plzzz....

Answers

Answer:

1. 1 cm

2. 7 and 2/16 (or 1/8) inches

Step-by-step explanation:

2. The distance from each small line on a ruler is 1/16 of an inch.

what is your when x = 60? ​

Answers

Answer:

300

Step-by-step explanation:

Find the y value when x = 60

Looking at the graph when x=60, y= 300

Please help me out I don’t understand this.

Answers

The area (A) of a trapezoid is calculated as follows:

A = 1/2 * sum of the parallel sides * height

In this case:

A = 1/2 * (23 + 5) * 12 = 168 yd^2.

Answer: it’s 168

Step-by-step explanation:

convert 495.05 to fraction​

Answers

Answer:

9901 / 2000

Step-by-step explanation:

might be wrong

There are 5 blue dogs for every 2 green cats. How many green cats are there for 1 blue dog?

Answers

Answer:

2/5

Step-by-step explanation:

The ratio is 5:2 , simplify an you'll get 1:2/5

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