Graph the following system of equations.
3x + 6y = 6
2x + 2y = 6
What is the solution to the system?
A)There are infinitely many solutions.
B)There is one unique solution, (4, -1).
C)There is one unique solution, (6, -2).
D)There is no solution.

Answers

Answer 1

The solution for the system of equations 3x + 6y = 6 and 2x + 2y = 6 is

B) There is one unique solution, (4, -1).

What is a solution for a system of equations?

The solutions for a system of equation is the intersecting points between them

We know that system of equations has an infinite number of solutions when they coincide with each other as every point of a line falls into another line.

Systems of equations have a unique solution when they intersect each other and that intersecting point is the solution.

The system of equations has no solution when they are parallel to each other.

So, now we'll graph this system of equations and observe where they lie in XY coordinate.

Observing the graphs of both of these equations we can conclude that they have a unique solution (4,-1).

We can also solve these equations by multiplying equation(ii) by 3 and subtracting it from equation(i) and obtaining the values of (x,y).

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Graph The Following System Of Equations.3x + 6y = 62x + 2y = 6What Is The Solution To The System?A)There

Related Questions

What is the volume of this prism?

What is the volume of this prism?

Answers

Answer:

in the explanation

Step-by-step explanation:

seperate the prism into two. for the long rectanglular prism the formula is (6x2)x2 which is equal to 24. for the wider rectangular prism it's (4x4)x2=32. Add 32 and 24 together which makes the answer 56

let u = <5, 6>, v = <-2, -6>. find -2u + 5v.

Answers

Refer to the image attached.
let u = &lt;5, 6&gt;, v = &lt;-2, -6&gt;. find -2u + 5v.

can someone help me find the value of x & y ​

can someone help me find the value of x &amp; y

Answers

Step-by-step explanation:

step 1. AD is parallel to BC

step 2. <y = 90° (definition of right trapezoid)

step 3. x + y + 90 + 140 = 360 (a quadrilateral has 360° of internal angles)

step 4. x + 90 + 90 + 140 = 360

step 5. x = 40°.

Nina has one job babysitting another job walking dogs. Each week she babysits for 21 hours and walk stocks for nine hours Sharon $7.50 per hour for dog walking. She earns $1.50 more per hour for babysitting them for dog walking there are 4 1/2 weeks in the month of July. What is the best estimate for the total amount of money Nina earns in July.

Answers :

$250
$750
$1200
$1500

Answers

Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

Please please heeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppppp

Please please heeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

22.4

Step-by-step explanation:

a^2 + b^2 c^2

20^2 + b^2 = 30^2

400 + b^2 = 900

b^2 = 500

b = 22.4

ILL GIVE BRAINLIEST
edward deposited 8,500​$ into a savings account 4 years ago. The simple interest rate is ​2%. How much money did earn in​ interest?

Answers

Answer:

680

Step-by-step explanation:

8500x.02x4=680

You do the amount deposited then you multiply that by the intrest rate ( but with the intrest rate you must move the decimal 2 times to the right) then you multiply how many years

Which multiplication problem can be used to determine how many possible combinations there are for a lock consisting of 3 digits from 0–9, if the digits can be repeated?

Answers

___________________
900
___________________

a rectangle has vertices (0,0), (2k,0) and (0,k) find the fourth vertex

Answers

(2k,k)

Since it is at the same x-axis as (2k,0) and the same y-axis as (0,k), that is the answe

If a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that the rectangle has vertices (0,0), (2k,0), and (0,k).

A(0,0)
B(2k,0)

C(0,k)

D(x,y)

Since the opposite of the rectangle is the same it will be opposite to one of the coordinates shown in the graph.

To uniquely identify points on a plane, use ordered pairs and the rectangular coordinate system (x,y). Pairs that are ordered show position in relation to the origin.

The x-coordinate shows the left and right sides of the origin. Y-coordinate positions are above or below the origin.

Thus, if a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

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a rectangle has vertices (0,0), (2k,0) and (0,k) find the fourth vertex

pls help me classify each of this?!

pls help me classify each of this?!
pls help me classify each of this?!

Answers

First image -Right triangle(One angle is 90 degrees)

Second image-Isosceles triangle(Two equal sides and two equal angles).

Given the following segment lengths find a length of the segment

Given the following segment lengths find a length of the segment

Answers

The length of the line segment AB is 11/2 mm.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other two sides in the same ratio.

Therefore, AC/AB = EC/ED.

22/AB = 44/11.

2/AB = 4/11.

4AB = 22.

AB = 11/2.

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What is the simplified form of
\( \frac{x + 6}{3} - \frac{x + 2}{3} \)

Answers

Answer:

4/3

Step-by-step explanation:

x + 6 - (x + 2) / 3

= x - x + 6 - 2 / 3  

=  4/3

4/3

Distribute
1/3x + 2 + -1/3x + -2/3

Combine Like Terms
1/3x + 2 + -1/3x + -2/3
= (1/3x + -1/3x) + (2 + -2/3)
= 4/3

Find the area of the circle. Use \(3.14\) or \(\frac{22}{7}\) for \(\pi\) . Round your answer to the nearest hundredth, if necessary.

Find the area of the circle. Use [tex]3.14[/tex] or [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex] . Round

Answers

Answer:

50.24

Step-by-step explanation:

area of circle = πr²

where r = radius

given radius = 4

so area = (3.14)(4)²

==> evaluate exponent

area = (3.14)(16)
==> multiply 3.14 and 16

area = 50.24

It cost $110 to plant watermelons on an acre of farmland. How much would it cost to only plant 2/3 of the acre?

Answers

No solve this you have to multiply the cost per acre by the total are you want to plant:

\(110\cdot\frac{2}{3}=73.3\)

It'll cost $73.3 to plant 2/3 of the acre.


which equation correctly represents the line graph below?

which equation correctly represents the line graph below?

Answers

Answer:

y = 1/2x + 12

Step-by-step explanation:

The y intercept is 12, and the slope is 1/2

A cone has a height of 15 meters and a radius of 13 meters. What is its volume?

Answers

Answer:

V≈2654.65m³

Step-by-step explanation:

Answer:

Volume (V) = 2,654.645792

Step-by-step explanation:

Hope that helps and please give me brainliest!!

Which statement about conduction is true?

1.Conduction uses electromagnetic waves.

2.Conduction transfers energy from one particle to another.

3.Conduction produces currents in a heated pot of water.

Answers

Answer:

statement 2, conduction is the transfer of heat through direct contact

Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?

Which ordered pair can be plotted together with these four points, so that the resulting graph still

Answers

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

Which ordered pair can be plotted together?

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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. Importance of hydrologic cycle The role of water is central to most natural processes - Transport - Weathering, contaminant transport - Energy balance - transport of heat, high heat capacity - Greenhouse gas - 80% of the atmospheric greenhouse effect is caused by water vapor - Life - for most terrestrial life forms, water determines where they may live; man is exception

Answers

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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f(x) = 3x
reflected over y-axis​

Answers

Answer:

g(x)=-3x

Step-by-step explanation:

Reflecting any equation over the y-axis will make it negative, hence 3x->-3x

Ms. Webb bought 3 sparkly markers that are $1.20 each and 4 glitter glue sticks that are $1.05 each. These were on sale for 25% off. What is the discount amount?

Answers

Answer:

5.85 is the total after the discount. The amount taken off is 1.95.

Step-by-step explanation:

P = e f e = 4.8 correct to 2 significant figures. f = 0.26 correct to 2 significant figures. Work out the lower bound for the value of P . Give your answer correct to 3 significant figures. (2 marks)

Answers

Answer:

Step-by-step explanation:

P = efe =4.8

f =0.26

substitute the value of P and f into the equation to obtain the value of e

4.8 = e*0.26*e

4.8 = 0.26*e^2

make e^2 the subject of the formula

e^2 =4.8/0.26 =18.62

find the square root of e

e =\(\sqrt{x} 18.46\\\)

e = 4.3

Lower bound of P = 4.8 - 4.79 = 0.01

A flagpole casts a 12ft long shadow and the sun is currently at an angle of elevation of 53°. How tall is the flagpole?

Answers

12.59 jainsieojeko omtorpnsso

Find the component form of the vector that translates A(-4,8) to A'(7,-9)

Answers

The component form of the vector that translates A to A' is (11, -17)

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

In translation, the shape of the figure does not change but its size may change.

Other transformation processes are reflection and rotation.

The component form of the vector is governed by the rule; A' - A

so we subtract corresponding x- coordinates and corresponding y- coordinates

A' - A = (7, -9) - (-4, 8)

       = ( 7 - - 4, -9 - 8)

       -= ( 11, -17)

In conclusion, the vector that translates A to A' is ( 11, -17 )

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Which choice is equivalent to the expression shown?

2(x+4)6 + 13
Question options:

A. x3+33

B. 2x9+59

C. 2x9+99

D. x3+53

Answers

Answer:

b

Step-by-step explanation:

15 + ax/5=10 solve for x

Answers

Answer:

25/4

Step-by-step explanation:

I just did it and got It right on M period

The value of x = -25/ a

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given an equation 15 + ax/5=10. we need to solve for x

15 + ax/5=10

Subtract 10 from, both side then

15 - 10+ ax/5=10 -10

15 - 10+ ax/5= 0

5 + ax/5= 0

Now subtract ax/5 on both side we get

5  = -ax/5

Cross multiplication;

25 = -ax

Therefore, the value of x = -25/ a

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Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.

Answers

Answer:

almonds =345, cashews=125

Step-by-step explanation:

a=almonds, c=cashews

8a+12c=4260. Equation 1

a + c= 470  Equation 2

a=470-c. Isolate a from equation 2

8(470-c)+12c=4260 sub value of a from equation 2 into equation 1

3760-8c+12c=4260

4c=500

c=125

solve for a by substituting value of c into either equation

a+c=470

a+125=470

a=345

When three times a number is subtracted from 20, the result is 4 plus the number. What is the number? equation. 20 - 3n= 4 +n (Type an integer or a decimal.) Next, solve the equation. Begin by isolating the constants on one side of the equation and the variables on the other. To move the variables to the right side of the equation, add 3n to both sides. 20-3n = 4+n​

Answers

Answer:

4+n×36-8/8(6+6)=N thats how yiu do it

y=10x y=-3x+39 what is x and y

Answers

10x = -3x + 39
13x = 39
x = 39/13
x = 3

An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
O 2.95x+ 39.95
O 39.95x+ 2.95
O 2.95x-39.95(12)
O 295x+39.95(12)​

Answers

Answer: 2.95x+39.95(12)

Step-by-step explanation:

Hi, to answer this question we have t write an expression with the information given:

The yearly cost for x movie rentals is equal to : the product of the cost of each movie (2.95) and the number of movies (x) ;plus the product of the monthly fee (39.95) and the number of months in a year (12)

Mathematically speaking:

2.95x+39.95(12)

Answer:

D-295x+39.95(12)​

Step-by-step explanation:

EDG2021

collect like terms to simplify 3x²+7x+8²-2x

Answers

Take 7x minus 2x which is 5x
No other like terms are available
This would simplify to 3x^2+5x+8^2

Answer:

14x + 64

Step-by-step explanation:

3X x 3X + 7X + 64 - 2X =

9X + 7X + 64 - 2X =

16X + 64 - 2X =

14 X + 64

Hope that helps!

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