The system shown is _____.

A.) consistent
B.) inconsistent
C.) equivalent

The System Shown Is _____.A.) ConsistentB.) InconsistentC.) Equivalent

Answers

Answer 1

Answer:

The system shown is consistent A

Step-by-step explanation:

A consistent system of equations has at least one solution

The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, and  [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex] , then the system is consistent independent and has exactly one solution  

From the given graph

∵ The two lines intersected at one point

∴ This point lies on the two lines

→ That means this point satisfies the equations of the lines

The system of equations represented by the two lines has 1 solution

→ By using rule 3 above

The system shown is consistent


Related Questions

Solve the equation 2x+3/3 - 3x/2=-4
Fast please

Answers

Answer:

x = 6

Step-by-step explanation:

Assuming the equation is

[tex]\frac{2x+3}{3}[/tex] - [tex]\frac{3x}{2}[/tex] = - 4

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 3) - 9x = - 24

4x + 6 - 9x = - 24

- 5x + 6 = - 24 ( subtract 6 from both sides )

- 5x = - 30 ( divide both sides by - 5 )

x = 6

How do you pay taxes?

Answers

Answer:

;-;

Step-by-step explanation:

Answer:

um ‍♀️‍♀️‍♀️‍♀️

solve each system of equations algebraically y= x-6 y= 2x

Answers

Answer: x = -6

Step-by-step explanation: The problem gave us the y value, so we can just substitute it into the equation and solve it.

y = x - 6

y = 2x

2x = x - 6 (substitute the y value into the equation)

1x = -6 (subtract x on each side)

x = -6 (1x is basically saying x so you do not need to divide)

I need help I need help pleaseee

Answers

Answer:

f(-10) = -1/2

f(0) = -3

Step-by-step explanation:

Here, given the equation for f(x) we want to get the value of f(x) for each value of x supplied

We proceed as follows

f(-10) = 6/-10-2 = 6/-12 = -1/2

f(0) = 6/(0-2) = 6/-2 = -3

SOPHOMORE GEOMETRY NEED HELP ASAP WILL MARK BRAINLY !!!

Answers

Answer:

(6x-5)+(4x-2)=43

10x-7=43

5

Step-by-step explanation:

PLEASE HELP!


An escalator in the mall rises to a platform and makes a 30 degrees angle with the ground. If the platform is 76 feet above the ground, how long is the escalator?

Answers

9514 1404 393

Answer:

  152 feet

Step-by-step explanation:

A triangle modeling the situation has the unknown length as its hypotenuse, and the given platform height as the side opposite the angle. The relevant trig function is ...

  Sin = Opposite/Hypotenuse

  sin(30°) = (76 feet)/(escalator length)

  escalator length = (76 feet)/sin(30°) = (76/0.5) feet

  escalator length = 152 feet

The garden club earned $15, 15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?

Answers

Answer:

The answer should be $30.

Answer:

30 * t

Step-by-step explanation:

The garden club earned $15 per hour by weeding neighborhood gardens for t hours.

A generous donor has agreed to double their earnings.

Double their earnings means we multiply by 2

So earning 15 per hour becomes 2*15 = 30 per hour

Given the number of hours is t

Earnings = $30 times number of hours

Earnings = 30 * t

Can you please Solve for x

Answers

Step-by-step explanation:

7x-4+3x+14=180°

10x+10=180

10x=180-10

10x=170

x=170

10

x=17

hope it helps.

Answer: x = 17

Step-by-step explanation:

Alternate interior angles add up to 180°

3x + 14 + 7x - 4 = 180°

Combine like terms

10x + 10 = 180

Subtract 10 from both sides

10x = 170

Divide both sides by 10

x = 17

Figure ABDC is a parallelogram find the information below
Please help thank you

Answers

9514 1404 393

Answer:

DC = 16∠DCB = 120°EB = 10.2∠ADC = 60°∠ABE = 17°

Step-by-step explanation:

The figure is a parallelogram, so ...

  AB ≅ DC = 16

Opposite angles are congruent, so ...

  ∠DAB ≅ ∠DCB = 120°

The diagonals cross at their midpoints, so ...

  ED ≅ EB = 10.2

Adjacent angles in a parallelogram are supplementary, so ...

  180° -∠DAC = 180° -120° = ∠ADC = 60°

The sum of angles in ∆ABD is 180°, so ...

  180° -120° -43° = ∠ABE = 17°

What is the equation

Answers

what equation? there isn’t any shown.


Hey can someone please help me with this? I’d appreciate if you put steps down and the answer! Tysm.

Answers

What’s the actual problem?

Answer:

x = 21.9317122

Step-by-step explanation:

20² + 9² = x²

400 + 81 = x²

481 = x²

square root both answers and that's your answer

I need help I will give brainiest​

Answers

Answer:

question 5: 38 students total get a ride to school

question 6: 51 total girls were surveyed

Step-by-step explanation:

Answer:

walk

girls:22

boys:13

total:38

ride

girls:29

boys:9

total:38

total

girls:16

boys:25

An airplane can cruise at 570 mph. How far can it fly in 4/3 hours?

Answers

Answer:

The plane can fly 760 miles in 4/3 hours.

Step-by-step explanation:

Given that:

An airplane can cruise at 570 miles per hour.

We have to find the distance travelled by train in 4/3 hours.

Distance = Speed * Time

Distance = [tex]570*\frac{4}{3}[/tex]

Distance = [tex]\frac{2280}{3}[/tex]

Distance = 760 miles

Hence,

The plane can fly 760 miles in 4/3 hours.

Help me please

Find the slope

Answers

Answer:

2/4 = 1/2

Step-by-step explanation:

slope = rise / run

rise = 2

run = 4

thus slope = 2/4 = 1/2

Help due asap
Show workings!

Answers

Answer:

BQ = 16

QE = 8

Step-by-step explanation:

Centroid of a triangle divides the median in the ratio 2 : 1

Here, let BQ = 2x and QE = x

BQ + QE = BE

2x + x = 24

3x = 24

x = 24/3

x = 8

2x = 2*8 = 16

BQ = 16

QE = 8

It takes 6 cups of mix to make 2 gallons of lemonade if x represents the number of cups of mix and y represents the gallons of lemonade. What is the slope of the line that represents this relationship?
A:6
B:1/3
C:3
D:1/6

Answers

The answers is B
B:1/3
C:3
Because to figure it out u have to simplify or divide it in half until you find the answer you’re looking for.
So 6cups divided by 2 gallons = 3

If Bill works on Saturdays, he earns $9 per hour (h), plus a $10 bonus for working on the weekend. He wrote a Function, f(h) = 9h + 10, to help calculate how much he would earn working different numbers of hours next Saturday. How much will Bill earn for 5 hours and 12 hours?

Answers

Answer:

[See Below]

Step-by-step explanation:

For 5 hours: f(5)

f(5) = 9(5) + 10

f(5) = 45 + 10

f(5) = 55

Bill would work earn $55 if he worked for 5 hours.

For 12 hours: f(12)

f(12) = 9(12) + 10

f(12) = 108 + 10

f(12) = 118

Bill would work earn $118 if he worked for 12 hours.

Hope this helps.

Write an equation with the following : m = -4 b 10

Answers

Answer:

Step-by-step explanation: Let's solve for b.

m=(−4b)(10)

Step 1: Flip the equation.

−40b=m

Step 2: Divide both sides by -40.

−40b

−40

=

m

−40

b=

−1

40

m

Answer:

b=

−1

40

m

13. The sum of the measures of angle Mand angle Ris 90°.
• The measure of angle Mis (5 x + 10).
• The measure of angle Ris 55°.
What is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

If the sum of the measures of angle M and R is 90 degrees, and you know that angle R is 55 degrees, subtract angle R from the total angle. Then, solve for M

90 - 55 = 35

5x + 10 = 35

5x = 25

x = 5

plzzzz help I am stuck on number 4

Answers

Answer:

lol nah <3

Step-by-step explanation:

i would try and help, but not with that trump pfp my dude

⚠️⚠️ Ok I need some help here lol ⚠️⚠️

This is the only one and it’s honestly confusing

Answers

(4,6) :)
As it goes over the X axis, you pretty much just mirror it, over that axis.

Answer:

the answer is (4,6)

Step-by-step explanation:

Help pls , I don’t get it

Answers

Answer:

7.2

Step-by-step explanation:

Just divide the area by the width/height next time..

A baker sold 35% of the cakes she baked, if she baked 80 cakes, how many cakes did she sell?

Answers

Answer:

28

Step-by-step explanation:

find 35% off 80 cakes

35% * 80

Converting percent to decimal:

35%/100 = 0.35

0.35 * 80

28

Therefore the baker sold 28 cakes out of the 80 cakes she baked. Hope this helps!

I think 35% of 80 is 28.

Step-by-step explanation:

....

a particular tree is 18 m tall : a model of it was built with a. scale of 4 cm : 3m how tall is the model.

Answers

Answer:

24 cm

Step-by-step explanation:

We can set up a ratio of 18 m / x cm = 3 m / 4 cm because we know that it's a scale.

Cross multiplying, we get 3x = 72. Divide both sides by 3 and we have x = 24 cm.

We can also consider it by just dividing 18 m by 3 m to find the scale factor, which is 6. We then multiply the 4 cm by 6 to get 24 cm as well.

If you can type 50 words per minute, how many minutes would it take you to type a 500 word essay​

Answers

Step-by-step explanation:

50words-1 minute

500words- x minute

500÷50=10

it would take you 10 minutes.

Help within 10min PLZZ❤️❤️

Answers

C is the answer You’re welcome

[Help Quick]. Fill in the table using this function rule

Answers

Answer:

9

15

24

33

Step-by-step explanation:

I hope this right

9, 15, 24, 33 with 9 being the top question and 33 being at the bottom(:

HELP ASAP I NEED THE HWLP KAHALANSLABSHSNSKSBAJAM

Answers

Answer:

3,2 im pretty because it's only asking g for the line the the whole triangle i believe

Which pair of angles in the figure below are vertical angles

Answers

Answer:

There isn't an attachment to see what your talking about.

Step-by-step explanation:

Solve the equation for all values of x by completing the square.
x^2 + 4x = 32

Answers

Answer:

x^2+4x-32=0

(mid-term breaking---4 x 8=32)

x^2+8x-4x-32=0

x(x+8)-4(x+8)

x+8=0 or x-4=0

So x=+4 or x=-8

Step-by-step explanation:

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