y = -6x+2
-12x-2y = -4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1,-4)
Ono solution
O infinite number of solutions

Answers

Answer 1

Answer:

infinite number of solutions

Step-by-step explanation:

Given equations:

y = -6x+2-12x - 2y = -4

Rearrange the second equation to make y the subject:

⇒ -12x - 2y = -4

⇒ -12x - 2y + 2y = -4 + 2y

⇒ -12x = -4 + 2y

⇒ -12x + 4 = -4 + 2y + 4

⇒ -12x + 4 = 2y

⇒ (-12x + 4) ÷ 2 = 2y ÷ 2

⇒ y = -6x + 2

Comparing the rearranged equation with the first equation, we can see that both equations are the same.  

Therefore, as there is only one line, there are an infinite number of solutions.


Related Questions

Cecilia bought 24 bottles of juice that each contained 12 fluid ounces of juice. How many pints of juice did she buy?

Answers

Answer:

it 288

Step-by-step explanation:

if u multiply 24x12 it gives you 288 hope this help you

Question
Which systems of equations have infinitely many solutions?

Select each correct system.

Answers

Answer: F

Step-by-step explanation:

This does not have infinitely many solutions (adding the equations, we get a fixed value of x)This has no solutions (the left hand sides are the same but the right hand sides have different values)This has one solution (the first equation givess a fixed value for x)This has no solutions (same reason as 2)This has one solution (same reason as 3, just the second equation instead of the first)This has infinitely many solutions (multiplying both sides of the top equation by -2 gives the bottom equation).

what is the simplified form of this expression (-3x^2+4x)+(2x^2-x-11)

Answers

Answer:

SolutioN :

[tex] \bf \: \star ( - 3x^{2} + 4x) + (2 {x}^{2} - x - 11)[/tex]

[tex] \longrightarrow \bf \: - 3 {x}^{2} + 4x + 2 {x}^{2} - x - 11[/tex]

[tex] \longrightarrow \bf \: - 3 {x}^{2} + 2 {x}^{2} + 4x - x - 11[/tex]

[tex] \longrightarrow \boxed{\bf \: - {x}^{2} + 3x - 11}[/tex]

-------------HappY Learning <3 ----------

Given expression:

[tex](-3x^2+4x)+(2x^2-x-11)[/tex]

To simplify the expression, it is needed to open the parentheses.

[tex]\implies (-3x^2+4x)+(2x^2-x-11)[/tex]

[tex]\implies -3x^2+4x+2x^2-x-11[/tex]

To further simplify the expression, let us combine like terms.

[tex]\implies -3x^2+4x+2x^2-x-11[/tex]

[tex]\implies x^{2} (-3 + 2)+x(4-1)-11[/tex]

Now, simplify the expression as needed.

[tex]\implies x^{2} (-3 + 2)+x(4-1)-11[/tex]

[tex]\implies x^{2} (-1)+x(3)-11[/tex]

Finally, open the parentheses to get the simplified form

[tex]\implies x^{2} (-1)+x(3)-11[/tex]

[tex]\implies \boxed{\bold{-x^{2} +3x-11}}[/tex]

[tex]\text{Therefore, the simplified expression is} \ \boxed{-x^{2} +3x-11}[/tex]

Distribute: 2(3x + 4)

Answers

Answer:

6x+8

Step-by-step explanation:

2(3x+4)= 2(3x) + 2(4) = 6x+8

Find the interquartile range (IQR) of the data in the dot plot below. ms orlando

Answers

Answer:
1.75
Step-by-step explanation:
Low- 81
Q1-82.5
Median- 83.5
Q3-84
High- 85

please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Answers

Answer:

  6.1 km

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the lengths of the sides of a right triangle.

  c² = a² +b² . . . . a, b are the short sides; c is the hypotenuse

__

The geometry of this problem can be modeled by a right triangle with legs 3.7 km and 4.9 km. The distance of interest is the hypotenuse of the triangle.

  c² = 3.7² +4.9² = 13.69 +24.01 = 37.70

  c = √37.70 ≈ 6.1

The straight-line distance is about 6.1 km.

Will mark brainlist to whoever answers first, full explanation please

Answers

Reflection- It flips the image over a line to create a mirror image

Rotation - It spins a figure around a point

Translation-  It slides the figure in a different direction

Dilation- It enlarges or reduces a figure

Please help me:( The question is the line y=mx+c passes through the point (3,4) and is perpendicular to the line y+2x=4. Find m and c.

Answers

Answer:

m = [tex]\frac{1}{2}[/tex] , c = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 4 ( subtract 2x from both sides )

y = - 2x + 4 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute (3, 4 ) into the partial equation

4 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 4 - [tex]\frac{3}{2}[/tex] = [tex]\frac{5}{2}[/tex]

y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex] ← equation of line

with m = [tex]\frac{1}{2}[/tex] and c = [tex]\frac{5}{2}[/tex]

GIVING BRAINLIEST!!!!!

Answers

Answer:

135

Step-by-step explanation:

All triangles =180 degrees
Angle ADC is 45
This means that angle ACD is also 45
ACD and ACB are supplementary which means they add to 180 as well
180 - 45 = 135

A charitable organization holds a canned food drive to benefit the local food bank. The number of cans collected by the volunteers of the organization as they came in are 2, 6, 12, 16, 2, 6, 13, 17, 3, 8, 13, 19, 4, 10, 14, 19, and 5.

Pls help. I need the first and third quartile and the median

Answers

Answer:

Step-by-step explanation:

Minimum: 2

Quartile Q1: 4.5

Median: 10

Quartile Q3: 15

Maximum: 19

Mean = 5 13+14+15+19+19 ​ =

Answers

Answer:

14.167

Step-by-step explanation:

assuming you meant 5+13

How to find the arc length?

Answers

The formula is given by

L=Ø/360°×2πr

Or

L=Ø/180°×πr

Where

Ø is the angle of arcL is Arc lengthr is radius of circle

How would I work this one out?​

Answers

Answer:

See below

Step-by-step explanation:

each term is the sum of the two before it

2 3 5 8 13 21 34

please help!!!
Find an equation for this graph.

Answers

y=3(sin)pie over 4 +2

What is a fraction that is equal to 5?

Answers

Answer:

5/1  or 10/2

5/1 = 5

10/2 = 5

please help me I will give brainliest ​

Answers

Answer:

The mass of salt!

Step-by-step explanation:

The responding variable is the part of an experiment that a scientists measures and observes closely for a change or a response

Find the value of cos G rounded to the nearest hundredth.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS
(Image above!)

Answers

Answer:

[tex]\sf \cos(G)=\dfrac{1}{2}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = GA = GF = 2H = EG = 4

[tex]\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

CosG=Base/HypotenusecosG=FG/EGcosG=2/4cosG=1/2cosG=cos60G=60°

PLEASE HELP ASAP PLEASEEEE
show calculations: √(x^2-8x+16) if x≥4

Answers

Answer:

If we square both sides then we get

x2-8x+16 = (x-4)2

Now if we expand the right side of the equation we get

x2-8x+16 = (x-4)(x-4)

x2-8x+16 = x2-8x+16

So no matter what x is, the right side will be equal to the left side.

However, if we look at the original equation on the left side, √(x2-8x+16) , the value under the square root symbol has to be greater than or equal to zero (otherwise we get an imaginary number and you might not be working with those yet)

Step-by-step explanation:

So in order for √(x2-8x+16) to be greater than or equal to zero, x has to be greater than or equal to 4. If x is less than 4 you get a negative number. If x is greater than 4, you'll get the same answer on both sides no matter what x is

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 4x - 4x + 16} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{} (x - 4) - 4(x - 4)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x - 4)(x - 4)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x - 4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 4[/tex]

Now, it's given that ~

[tex]\qquad \sf  \dashrightarrow \:x \geqslant 4[/tex]

plug the value of x as 4 :

[tex]\qquad \sf  \dashrightarrow \:4 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:0[/tex]

So, we can infer that :

Value of the required expression lies in :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} \geqslant 0[/tex]

it's value is always greater than pr equal to 0, satisfying the given condition ~

Please help its a math problem please see image attached

Answers

Answer:

(-∞, ∞)

Step-by-step explanation:

Solving :

Lowest x-value is -22 options have the lowest value as 0Hence, the correct option is : (-∞, ∞)

The following scatter plot represents a company's sales on a certain product based on its price.
What does −4.8 represent in this linear model?
Pls help asap

Answers

Using linear function concepts, it is found that representation of the value of -4.8 is given by:

It means that there are 4.8 thousand less sales for every dollar the price is increased.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the model for the number of sales(in thousands), with the price at x dollars, is given by:

f(x) = -4.8x + 121.02.

The slope is of -4.8, which means that when x increases by 1, y decreases by 4.8 thousand, hence the correct option is given by:

It means that there are 4.8 thousand less sales for every dollar the price is increased.

More can be learned about linear function concepts at https://brainly.com/question/24808124

#SPJ1

The diameter of a music CD is 12 centimeters. Find the circumference of a CD to the nearest tenth

Answers

37.7 cm

C = 2πr
C = 2(3.14)6
C = 37.7 rounded
the radius is 6 because it is half of the diameter

Solve the equation 2(3x-2)=(12x+4)

Answers

Answer:

x = -4/3 or -1.3333333....... (infinite)

Step-by-step explanation:

6x-4=(12x+4)

6x-4+4=12x+4+4

6x = 12x + 4 + 4

6 = 12x + 8

6x - 12x = 12x + 8 - 12x

-6 = 12x + 8 - 12x

-6x = 8

-6x/6 = 8/-6

x = 8/-6

x = -4/3

Answer:

[tex]\sf x = -\dfrac{4}{3}[/tex]

Explanation:

Given Expression:

2(3x-2) = (12x+4)

Remove Parenthesis:

2(3x) - 2(2) = 12x + 4

Multiply Integers:

6x - 4 = 12x + 4

Exchange Sides:

12x - 6x = -4 - 4

Simplify:

6x = -8

Divide Both Sides by 6:

x = -8/6 = -4/3

Is this true or false?

Answers

Answer:

true

Step-by-step explanation:

yas

Find the volume of the trapezoidal prism

Answers

Answer:

228 in³

Step-by-step explanation:

Volume of a trapezoidal prism

V = Area x height

Finding Base Area (on the side here)

A = 1/2 x (a + b) x hA = 1/2 x (12 + 7) x 6A = 3 x 19A = 57 in²

Volume

V = A x hV = 57 x 4V = 228 in³

determine if a function or not

Answers

The provided graph is not a function because  it touches the graph more than one point.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have given a graph of a function.

We can check the whether the given graph is a function or not by drawing a vertical line if the vertical line touches the graph more than two points then the graph is not a function.

The given graph is not a function because it touches the graph more than one point.

Thus, the provided graph is not a function because  it touches the graph more than one point.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

I have no clue, I have asked others and they don't know either.

Answers

Y axis, the y axis is also referred to as Y=0

To find the point of symmetry:

  ⇒ must find where the distance between the original point and the

   line of symmetry and reflected point and the line of symmetry are

   equally distant from each other

Based on that knowledge:

 ⇒ the image appears to be entirely reflected horizontally

    ⇒ when the line of symmetry is the y-axis

        ⇒ A, A' equal distant from line of symmetry

        ⇒ B, B' equal distant from line of symmetry

        ⇒ C, C' equal distant from line of symmetry

Answer: y- axis

Hope that helps!

.
In a system of nonlinear inequalities, where and what is the feasible region?

Answers

Answer:

the region of the graph where the shaded regions of the graph of each inequality overlap, or where the regions intersect

Step-by-step explanation:

How do you find the frequency in statistics?

Answers

Answer:

Count the tally marks to determine the frequency of each class. The relative frequency of a data class is the percentage of data elements in that class. The relative frequency can be calculated using the formula fi=fn f i = f n , where f is the absolute frequency and n is the sum of all frequencies

Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?

Answers

Answer
29/75
Explanation
Total number of students = 75
Number of students taking algebra n(A) =45
Number of students taking chemistry n(C)=32
Number of students both taking algebra and chemistry n (ANC) =16
Number of students taking algebra only = n(A)-n(ANC)
=45-16
=29
The probability That the students are taking algebra not chemistry = 29/75

Which inequality is equivalent to −x<12?

Answers

Answer:

bottom left

Step-by-step explanation:

when divideing/mult by neg number, sign flips.

hii it’s Answer: x > -12

Hope this helps!!
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