What is the solution of the system of equations shown below?

y = –x + 3
y = 4x – 2

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

[tex]y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)[/tex]


Related Questions

find.


number y if 2/5of y is 22​

Answers

Answer
y=55

Reason
If 2/5y =22,
then 1/5y=11.
11 x 5 =55

For any number n>1, is
п
2 3
+ i
3
4
a. Greater than 1?
b. Less than 1?
C. Equal to 1?

Answers

A because the > symbol means greater so if n is on the open side that means its greater

~Shoto Todoroki here~

its option A

i figured this out by trial and error :/

have a good day!

What are objects that are 1 kg

Answers

Answer:

One liter of water.

A Pineapple.

A Bunch of Bananas.

A 1 liter bottle of water

Use the table to work out the values of
a
,
b
,
c
, and
d
.

x
y
=
3
x

x
2
+
6

3
a

2

4

1
b
0
6
1
8
2
c
3
d

Answers

Answer:

Here is your answer

Step-by-step explanation:

50

Fig rolls
normal price £1.08
buy one get 2nd half price
what is the total of three packets

Answers

Answer:

The total cost for two packets of Fig rolls is £1.62

Step-by-step explanation:

What is the value of the sin each of the following 5607 506 702 803 562

Answers

Answer:

sin(5607) = 0.67641680533

sin(506)  = -0.202179403335

sin(702)  = -0.989367016834

sin(803) = -0.948263002181

sin(562) =  0.33827666045

Step-by-step explanation:

put sin into a calculator and then put in the number

hope this helps! :)

What are the solutions to the equation (x-1)(x+2)=-2?

Answers

Method used:-

Completing the square method.

Steps :-

[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]

Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.

[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]

Simplify the equation. You'll get a +ve & -ve value.

[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]

Simplify it further.

[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]

The solutions are :-

x = 0 & x = -1

______

Hope it helps ⚜

What is the length of the line?

answer choices

A 7
B 10
C 29
D 21

Answers

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

The line has a horizontal length of 2 units and a vertical length of 5 units

The line is then the hypotenuse h of a right triangle.

Using Pythagoras' identity

h² = 2² + 5² = 4 + 25 = 29 ( take square root of both sides )

h = [tex]\sqrt{29}[/tex]

The length of the line given is √29 units.

Hence, the correct option is C.

Given is line on the cartesian plain we need to calculate its length.

Refer to the figure attached.

The figure can be converted into a right triangle with perpendicular = 5 units and the base = 2 units.

The line asked will act as the hypotenuse, so, to find its length we will use the Pythagorean theorem,

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the perpendicular side of the right triangle is given as 5 units, and the base is given as 2 units.

Let's denote the length of the hypotenuse as 'x'.

According to the Pythagorean theorem, we have:

x = 5² + 2²

Simplifying this equation:

x² = 25 + 4

x² = 29

To find the length of the hypotenuse, we take the square root of both sides:

x = √29

So, the length of the hypotenuse, in this case, is approximately √29 units.

Learn more about Pythagorean theorem, click;

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#SPJ6

For the function, f(x)=20x+135, what does x represent?

Answers

The answer is x= -25/4

The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3

Answers

Answer:

Step-by-step explanation:

a1 = 2

d = 7

n = 13

I take it you want the 13th term.

t_13 = a1 + (n - 1) * d

t_13 = 3  + (13 - 1) * 7

t_13 = 3 + 12*7

t_13 = 3 + 84

t_13 = 87

AGHHHHHH I REALLY NEED HELP!!!!!!!!!!!! (pls actually answer it though!)
tysm if u answer it:)

Answers

Answer:

23/99 or 0.22222222222222.

Step-by-step explanation:

Answer:

23/99

Step-by-step explanation:

Raymond has 3 pounds of birdseed. He has 5 bird feeders in his yard. How much seeds can he put in each feeder?

Answers

Answer:

The answer is 0

Step-by-step explanation:

Based on the given conditions, formulate: 3 ÷ 5

Evaluate the equation/expression: 0.6

Find the largest integer less than or equal to : 0.6 : 0

Answer: 0

-10 + = -3 I need help

Answers

Answer:

the answer is

7

Step-by-step explanation:

why is it 7 it is cause -10+7=3

Answer:

7

the answer is 7 because -10+7=-3

C. Because slope =
rise over run the slope of a "downhill" line must be
run

Answers

I can’t find the question what is it

Josiah is buying a Christmas present for his mom. He has $24 in his saving account but needs $60 to buy the present he has in mind. Josiah works a job where he earns $9per hour. If h equals number of hours, write an equation that would help determine how many hours Josiah has to work in order to buy the present.

Answers

Answer:

Step-by-step explanation:

9h + 24 = 60

I need help with this

Answers

Answer:

some points that I found!

(0,-2), (-3,0), (-6, 2), keep it going from there, and then shade above the line

Find x in the triangle

Answers

15° hope that helps


Answer:100

Step-by-step explanation:

The question confuses you since there is no extra variable to help you which is you have to create it yourself.

Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:

[tex]y=-x-30+180[/tex] which then becomes [tex]y = -x+150[/tex].

Also since the inside sum of angles in a traingle is equal to 180°, this can be written as

[tex]180 = (x-40) +(x-30)+y[/tex]

if we replace y with the equation we get

[tex]180=(x-40)+(x-30) + (-x+150)[/tex]

which can be simplified to

[tex]180=x+80[/tex] because 2x-x = x and -70+150 = 80

If we rearrange to solve for x, we get:

[tex]x = 180-80[/tex] ⇒ [tex]x=100[/tex]

We can verify this by putting the value of x in both equation:

[tex]y = -100+150 = 50[/tex] angle at k

[tex]100-40=60[/tex] angle at j

[tex]100-30=70[/tex] angle at l

[tex]50+60+70=180[/tex] this match the rules of the sum of interior angle always equal 180°

Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54

Answers

Answer:

z = 2.25xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition x = 3, y = 8 and z = 54 , then

54 = k × 3 × 8 = 24k ( divide both sides by 24 )

[tex]\frac{54}{24}[/tex] = k = 2.25

z = 2.25xy ← equation of variation

5/9 + n = 2/3

What does n equal?

A. 1/3

B: 1/9

C: 2/9

D: 4/9

Answers

Answer:

n = 1/9

Step-by-step explanation:

5/9 + n = 2/3=> 5/9 + n = 6/9=> n = 1/9

Conclusion:

Therefore, n = 1/9

Hoped this helped.

[tex]GeniusUser[/tex]

5/9 + n = 2/3


What does n equal?


A. 1/3


B: 1/9


C: 2/9


D: 4/9


Answer:

A cone has a radius of 5. 1 inches and a height of 5 inches. What is the volume of the cone? Use 3. 14 for pi. Round to the nearest tenth. 25. 0 inÂł 75. 0 inÂł 125. 4 inÂł 136. 1 inÂł.

Answers

The correct option is  D. 136.1 cubic inches.

Given, Radius of cone is 5.1 inches.

Height of cone is 5 inches.

We know that, volume of cone,

[tex]V=\frac{1}{3} \pi r^{2} h[/tex]

Here r is the radius of cone and h is its height.

on putting the value of r and h, we get

[tex]V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5[/tex]

[tex]V=\frac{1}{3} \times3.14\times26.01\times5[/tex]

Or, [tex]V=136.119 \ cubic \ inches[/tex].

The volume of cone to the nearest tenth is 136.1 cubic inches.

Hence the correct option is  D. 136.1 cubic inches.

For more details on the volume of cone follow the link:

https://brainly.com/question/1578538

In a hypothetical economy, current inflation-adjusted economic output is rising and is expected to continue rising in the coming months. This economy is currently in the___

peak stage of the business cycle

trough stage of the business cycle

contraction stage of the business cycle

expansion stage of the business cycle

Answers

The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

The business cycle consists of the following stages which changes with time;

Expansion stage: continuous rise in economic output.Peak stage: maximum economic output.Contraction (recession) stage: a continuous decline in economic output.Trough stage: the point of lowest economic output.

Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

Learn more about business cycle here: https://brainly.com/question/904465

Which graph represents a system of equation within solution?

Answers

Answer:

B

Step-by-step explanation:

In B, the lines are parallel meaning they will never intersect and have no solution. However, in C you can tell that the lines will intersect eventually so it does have a solution.

Answer:

B

Step-by-step explanation:

From the picture I can see you crossed out A and D, which only leaves B and C. If we extrapolate the graph at C the lines are eventually going to intersect, whereas in B the lines are going in parallel against each other, meaning there will never be an intersection between the two. So B would represent a system of equations with no solutions.

Please solve on same Kind of coordinate plane. Thank you!

Answers

Answer:

(0,8)

Step-by-step explanation:

Geometry - Isosceles & Equilateral Tirangles

Solve for x *

Answers

Answer:

x = 11

Step-by-step explanation:

Here, the two angles given are equal to each other. So, it is an isosceles triangle.Therefore, the sides opposite to the two angles are equal.Therefore,

(x + 13) ft = 24 ft

or, x ft = 24 ft - 13 ft

or, x ft = 11 ft

or, x = 11

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

Answer:

x = 11ft

Step-by-step explanation:

Isosceles Triangle: A triangle with two equal sides. The angles opposite the equal sides are also equal.

so

(x + 13) = 24

x + 13 = 24

x = 24 - 13

x = 11

--------------------

check

11 + 13 = 24

24 = 24

the answer is good

A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.

How much was deducted from the original price?

$0.40

$4.20

$5.20

$7.80

Answers

First of all we have to find 40% of $13.00
13x40/100=5.2
Then 13-5.2=7.8
Answer is $7.80

Please help me I'm literally gonna cry
How many

How many 3/5 -pound bags of apples are in 3 pounds of apples?

___ bags ( btw the answer is not 0.2)

Answers

Answer:

5 bags, each containing 3/5 pounds of apples

Step-by-step explanation:

3 ÷ 3/5 = 3 x 5/3 = 5

Question 1 (1 point)
What property is shown?
-d + (-e +(-f)) = (-d + (-e)) + (-f)
A:opposite of a sum
B:distributive
C:commutative
D:associative

Answers

D probably


brainly!!

5) So far you have a MP3 Player with 0.5 GB of music already stored on the MP3 player and know that each song is about 0.002 GB of memory. What are the possible numbers of additional songs that you can put on the MP3 player if it holds at most 2 GB?​

Answers

Answer: Any whole number between 0 and 750, including both endpoints.

One example could be 700 additional songs.

==================================================

Explanation:

x = number of additional songs, some nonnegative whole number

1 song takes up 0.002 GB, so x of them take up 0.002x GB of memory.

Add on the 0.5 GB already used to get the expression 0.002x+0.5 to represent the total amount of storage taken up. We want this expression to be 2 or smaller.

[tex]0.002x + 0.5 \le 2\\\\0.002x \le 2-0.5\\\\0.002x \le 1.5\\\\x \le 1.5/0.002\\\\x \le 750\\\\[/tex]

This says the most songs we can add are 750.

Because x is the number of songs, it doesn't make sense to have x be negative. This means [tex]x \ge 0[/tex] or [tex]0 \le x[/tex] is the case as well.

Combining [tex]0 \le x[/tex] and [tex]x \le 750[/tex] produces the compound inequality [tex]0 \le x \le 750[/tex]

The number of additional songs is any whole number between 0 and 750, including both endpoints.

The roster notation of this set could look like this: {0, 1, 2, ..., 748,749,750}

The triple dots indicate "keep this pattern going". That way we don't have to fill in all 751 values which would be a tedious process.

So you can add on something like 700 songs because it's between those endpoints mentioned, but cannot add something like 800 songs.

Answer:

0 - 750 additional songs

Step-by-step explanation:

current: 0.5 mb

remaining: 2-0.5=1.5 mb

each song: 0.002 gb

take remainig amount of space: 1.5 mb and divide by how much space each song takes: 0.002 mb to find out how many songs can fit in 1.5 mb of space

work:

(total amount of storage-used amount of storage)/storage per song

(2.0-0.5)/0.002

= 1.5/0.002

= 750 songs

what are the possible number of additional songs?

anything up until 750.


Will mark brainliest

Answers

Answer:

Point  H is in the first Quadrant (5,4)

Step-by-step explanation:

Answer:

quadrant 1

Step-by-step explanation:

yw:)

Lillian read 43 pages in 1 1/3​ hours. At what rate, in pages per hour, did she read?

Answers

Answer:

hi

Step-by-step explanation:

Answer:

She reads one page in 1.40

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