How do you know if an equation is consistent and independent consistent and dependent or inconsistent?

Answers

Answer 1

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

The classification which best describes the system of equations is; Consistent and dependent

A linear or nonlinear system of equations as the case may be is termed consistent if there is at least one set of values for the unknowns that satisfies each equation in the system. In essence, when substituted into each of the equations, they make each equation hold true.

Additionally, the system of equations is dependent because the value of each variable is dependent on the others.

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

learn more about of independent here

https://brainly.com/question/14334364

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Related Questions

42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0

Answers

Answer:

Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21.  The positive nature of the discriminant tells us that there are two real, unequal roots.  Following the quadratic formula, we get:

       -3 ± √21

x = -----------------

              2

Which is equivalent to x2 - 4x = 12 by completing the square

Answers

Answer:

x = 6 , − 2

Step-by-step explanation:

find the surface area of the pyramid​

Answers

Answer:

864cm squared

Step-by-step explanation:

The base is 16 x 16

The 4 lateral faces (Triangles) are [(19 x 16) / 2 ] x 4}

A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantity after 49 decades, to the nearest
hundredth?

Answers

Answer:

956.73

Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

0.97625... x 980 ≈ 956.73

Answer: 956.25

Step-by-step explanation:

Can someone please help me with math.

Answers

Answer:

B

Step-by-step explanation:

The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).

we can see b intersects on (0,1) so that is out answer.

10. Mason earns $10 for each lawn he mows. How much will he earn if he mows 6 lawns?
A. Write and solve an equation to solve the problem. Show your
work.

Answers

$10.00 x 6 =
$60.00
I’m not sure how to show any more work than that. It’s just 10 times 6..

Answer:

60

Step-by-step explanation:

just multiply 10 by 6 why is this in highschool math though.

what is the product
4/6 x 9

13/16

36/54

3

6​

Answers

the answer is 6! have a good day

A zoo starts off with 8 monkeys, and the monkeys population
doubles every year. How many monkeys are in the zoo after 4
years?
monkeys

Answers

Answer:

32

Step-by-step explanation:

64 because the first year you’ll have 8 monkeys which doubles for the second year where you’ll have 16 monkeys. in the third year they will be 32 and it doubles in the last year making the total 64

Please help! Check to see if I have all of them correct! Will mark brainlist

Answers

I am pretty sure they are all right

James wants to cover a floor measuring 90 cm by 120 cm with square tiles of the same size.
Given that he uses only whole tiles, find the largest possible length of the side of each tile​

Answers

Answer:

30cm

Step-by-step explanation:

Find L.C.M of 90 and 120

I need help I'm struggling :(

Answers

Ohh !! I’ll help you. I think your suppose to find the area of the rectangle prism? I suppose?
To find the rectangular prism, you’ll have to use this formula : LWH
L= length
W=width
H=height
Multiply those together and you will get your answer.

V=LWH
V=6*6*10
V=36*10
V=360 square 2 is your answer! ( remember to put units )

- have a great day :)

Someone pls help:( im new tysm if u doo!

Answers

75.5 all you do is add them
59 + 16.5= 75.5! I’m new too let me know if you need anymore help you can always message me! (I’m in seventh grade and I really like to help people!, it’s really entertaining for some reason)

Please help me out with this

Answers

Answer:

Step-by-step explanation:

surface area = 3^2 : 11^2

volume = 3^3 : 11^3

width  = 3: 11

hmm I'm not sure what you can enter into the text boxes.. if it won't let you put in the exponentials just use your calculator to put in the number that they equal.   But I like the exponential form better.  

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three
loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework Help!
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

Answers

Answer:

a) For Khalil's purchase

4x + 3y = 11.67.....Equation 1

For Ronda's purchase

8x + y = 12.89......Equation 2

b) A can of soup = x = $2.09

Loaf of bread = y = $1.35

Step-by-step explanation:

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three

loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework Help!

Let us represent:

a can of soup = x

Loaf of bread = y

a. Write equations for both Khalil's and Ronda's purchases.

For Khalil's purchase

= Khalil buys four cans of soup and three loaves of bread for $11.67.

4x + 3y = 11.67.....Equation 1

Ronda buys eight cans of soup and one loaf of bread for $12.89.

8x + y = 12.89......Equation 2

b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

We have:

4x + 3y = 11.67.....Equation 1

8x + y = 12.89......Equation 2

y = 12.89 - 8x

We substitute 12.89 - 8x for y in Equation 1

4x + 3(12.89 - 8x) = 11.67

4x + 38.67 - 24x = 11.67

38.67 - 11.67 = 24x - 4x

27 = 20x

x = 27/20

x = 1.35

y = 12.89 - 8x

y = 12.89 - 8 × 1.35

y = 12.89 - 10.8

y = 2.09

Therefore,

Solving for y

a can of soup = x = $2.09

Loaf of bread = y = $1.35

Please, nobody answered it!!! :C

Answers

Answer:

C. 59

Step-by-step explanation:

Hello There!

Remember the angles in a triangle add up to equal 180

So if we want to find a missing angle we subtract the given angles ( in this case 65 and 56) from 180

So missing angle = 180 - 65 - 56

180 - 65 = 115

115 - 56 = 59

So we can conclude that the missing angle has a measure of 59 degrees

Answer:

C: 59

Step-by-step explanation: His explanation is correct, I did it myself.

Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?

Answers

Answer:

for the 1st year she earned 160 so for 3 years she will earn $480

Can some please help me on question 2 I am just confused.

Answers

Answer:

ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost

Step-by-step explanation:

A .Write an equation for the trend line in slope -intercept form .

Answers

Given:

The graph of a trend line.

To find:

The equation of the trend line is slope intercept form.

Solution:

From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).

Slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{50-25}{5-0}[/tex]

[tex]m=\dfrac{25}{5}[/tex]

[tex]m=5[/tex]

The line passes through the point (0,25). So, the y-intercept of the line is 25.

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

The slope intercept from of the line is:

[tex]y=(5)x+(25)[/tex]

[tex]y=5x+25[/tex]

Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].

identify the equation whose graph is a vertical line.

a) y=x/3-1

b) y=0

c) x=0​

Answers

I’m guessing b I might be wrong

additive inverse of 8/-13 pls help fast​

Answers

Answer:

8/13

hope this answer helps you.....

What’s the formula to find the area of a right triangle? (pythagorean theorem)

Answers

Answer:

multiply the hight and length then divide it by 2

Step-by-step explanation:

Find the value of x.

Answers

Answer: x =42°

The angles are equal

Anyone help me solve for y.

Answers

Answer:

y = - 4

Step-by-step explanation:

Given

y = 2x + ( - 2) , that is

y = 2x - 2 ← substitute x = - 1

y = 2(- 1) - 2 = - 2 - 2 = - 4

This is confirmed by the point (- 1, - 4 ) on the graph

X = -1
So if you Plug that in to your problem it is shown as y=2(-1)+-2.
2•-1 is -2 and when added to -2 you answer is -4.
Y=-4

find the area please​

Answers

Answer:

86.54625

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10.5

Sub: a = (3.14)r²

Find r.

10.5/2

5.25

Sub: a = (3.14)5.25²

Solve: 86.54625

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a side of 15. If the volumd of the two prisms are equal, what is the height of the second prism?​

Answers

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear


A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?

Answers

Answer:

1072

Step-by-step explanation:

What is 2 2/13 divided by 2/3

Answers

Answer:

3.23

Step-by-step explanation:

Answer:

the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer

Which one doesn’t belong?
Come up with one reason for at least 3 different boxes

Answers

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

A bottle of soap costs $3.45 for 64ounces. What is the cost per ounce?

Answers

Five cent per a ounce

Answer:

$0.05

Step-by-step explanation:

All you have to do us divide the cost by the amount of ounces

3.45 ÷ 64 is about 0.05

The full answer is 0.05390625

Since we are talking about money, it should be $0.05

A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length BD.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.

Answers

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

Answer: The length of BD is 65 units.

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