Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x +y =3 3y= x - 12

Solve The Following System Of Equations Graphically. Select The Graph That Shows The Correct Solution
Solve The Following System Of Equations Graphically. Select The Graph That Shows The Correct Solution
Solve The Following System Of Equations Graphically. Select The Graph That Shows The Correct Solution

Answers

Answer 1

Answer:

The second figure is the correct figure.

Step-by-step explanation:

Answer 2

Graph (ii) is solution of system of equation.

We have to given that,

System of equations are,

2x + y = 3

3y = x - 12

Now, Solve the equations and find the solution,

Here, Equations are,

2x + y = 3  .. (i)

3y = x - 12  .. (ii)

From (i);

y = 3 - 2x

Substitute in (ii);

3 (3 - 2x) = x - 12

9 - 6x = x - 12

9 + 12 = 6x + x

7x = 21

x = 3

And from (i);

2 × 3 + y = 3

6 + y = 3

y = - 6 + 3

y = - 3

Hence, Solution is, (3, - 3).

So, Graph shown in option (ii) has intersection point (3, - 3)

Thus, Graph (ii) is solution of system of equation.

Learn more about systems of equations at:

brainly.com/question/14323743

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Related Questions

I’ll give you brainliest!!!!! Answer ASAP!!!! What is the first step in solving the equation?

Answers

Answer:

I think it is C. But i'm probably wrong. I had the same thing but i forget it.

Step-by-step explanation:

Hope it helps.

what is an inverse statement

Answers

Answer:

1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc

2 | noun | a fact or assertion offered as evidence that something is true

3 | noun | (music) the presentation of a musical theme

4 | noun | a nonverbal message

5 | noun | the act of affirming or asserting or stating something

6 | noun | (computer science) a line of code written as part of a computer program

7 | noun | a document showing credits and debits

(7 meanings)

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{2}[/tex]

For a polynomial function y = f(x), where f(1/3)=0, one of the factor would be

Answers

Answer:

(x-1/3) is one of the factors

Step-by-step explanation:

Using the reverse of the zero product property

(x-a) = 0  where a is one of the roots

x-1/3 = 0

(x-1/3) is one of the factors

Answer:

x-1/3) is the answer

Step-by-step explanation:

zero product property

Albert is a server at an all-you-can-eat sushi restaurant. At one table, the customers ordered 4 child buffets and 1 adult buffet, which cost a total of $86. At another table, the customers ordered 4 child buffets and 3 adult buffets, paying a total of $130. How much does the buffet cost for each child and adult?

Answers

Answer:

The buffet cost $16 for adults and $22 for kids

All of the following are equivalent,except.
(12+3)x
(12+3x)x
15x
12x+3x

Answers

Answer: (12+3x)x

Explanation: When you distribute the x in the first option you'll get 12x+3x, which you can simplify to 15x (combine like-terms). Having this information, you know that the first one is equivalent to the third one and the fourth option. When you distribute the x in the second you you get (3x^2)+12x. This is not equal to any other option.

If the first three Fibonacci numbers are x1 = 1, x2 = 1, x3 = 2, what is the value of n for which xn + xn+1 + xn+2= 68?

Answers

Answer:

13, 21, and 34

Step-by-step explanation:

x(n) + x(n+1) + x(n+2)= 68

x(n), x(n+1), and x(n+2) are three consecutive Fibonacci numbers.

=> (x) + (x+k) + (x+x+k)=68

(x is a Fibonacci number and k is a positive integer)

=> 4x + 2k = 68

=> 2x + k = 34

=> x < 17

Check two Fibonacci numbers that are closest to 17 and smaller than 17.

x(n)=8 => x(n+1)=13, x(n+2)= 21

=>x(n) + x(n+1) + x(n+2)= 8 + 13 + 21 = 42 (not valid)

x(n) = 13 => x(n+1) = 21, x(n+2)= 34

=> x(n) + x(n+1) + x(n+2)= 13 + 21 + 34 = 68 (valid)

Hope this helps!

Given that RT ≅ WX, which statement must be true?

Answers

Answer:RT is congruent to WX

Step-by-step explanation:

Answer: RT

Step-by-step explanation:

if g(x)= -3 +1, Find x if g(x)= 16

Answers

Answer:

X= -5

Step-by-step explanation:

Replace the g(x) with 16.

16= -3x +1

Move -3x on other side.

3x+16=1

Subtract one from both sides.

3x= -15

Divide both sides by 3 to get x by itself.

x= -5

Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-fifth x minus four-fifths? f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths

Answers

Answer:

The inverse of the function is [tex]g (x)=-5x-4[/tex].

Step-by-step explanation:

The function provided is:

[tex]f^{-1}(x)=-\frac{1}{5}\ x-\frac{4}{5}[/tex]

Let us assume that:

[tex]y=f^{-1}(x)[/tex]

Then the equation will be:

[tex]y=\frac{-x-4}{5}[/tex]

To compute the inverse of the function substitute x as y and y as x.

[tex]x=\frac{-y-4}{5}[/tex]

Now solve for y as follows:

[tex]x=\frac{-y-4}{5}[/tex]

[tex]5x=-y-4[/tex]

[tex]y=-5x-4[/tex]

Thus, the inverse of the function is [tex]g (x)=-5x-4[/tex].

Answer:

The answer is "-5x-4"

Step-by-step explanation:

Given:

[tex]\bold{f^{-1} (x)=(-\frac{1x}{5}-\frac{4}{5})}[/tex]

solve the above equation:

[tex]\to f^{-1}(x)= \frac{-x-4}{5}\\\\\to f^{-1}(x)= -\frac{x+4}{5}\\[/tex]

Let

[tex]y= f^{-1} x= -(\frac{x+4}{5})\\\\[/tex]

inverse the above function:

[tex]\to x= -(\frac{y+4}{5})\\\\\to 5x= -(y+4)\\\\\to 5x= -y-4\\\\\to\boxed {y=-5x-4}\\\\[/tex]

A teacher has a 2-gallon (32-cup) container of juice. She gives each student a 1/2 cup of juice. Which equation represents the amount of juice that remains, y, after x students are served? a. y = 32x - 1/2 b. y = 1/2x - 32 c. y = -1/2 x + 32 d. y = -32 x + 1/2 WILL GIVE BRAINLIEST FOR GOOD EXPLANATION

Answers

Answer:

total cup = 32

1 student = 1/2 cup

find remaining cup = y

*we don't know how many students are there, so we just let it be x .

remaining cup = total cup - cup drank by students

y = 32 - 1/2x

y = -1/2x + 32 ( option c )

why 1/2x ? because we don't know how many students drank the juice, so we just let it be x .

If a figure has a length and width that are the measured in meters, what would be the units for the area of the figure

Answers

Answer:

metre squared (m²)

Step-by-step explanation:

metre×metre=metre squared (m²)

A certain pet store sells 6 times as many fish as kittens. It sells twice as many kittens as lizards. If the pet store sells 15 lizards a week, how many fish, kittens, and lizards does the pet store sell every week?

Answers

It sells twice as many kitten as lizards:

Kittens sold = 15 x 2 = 30 total kittens.

It sells 6 times the amount of fish:

Fish sold = 6 x 30 = 180 total fish.

Lizards = 15

Kittens = 30

Fish = 180

Answer:

They sell 225 pets each week.

Step-by-step explanation:

Let f be fish, k be kittens, and l be lizards.

[tex]f[/tex]÷6=[tex]k[/tex]

[tex]k[/tex]÷2=[tex]l[/tex]

If [tex]l=15[/tex], then:

[tex]k=30\\f=180[/tex]

180+30+15=225 pets

They sell 225 pets each week.

(I hope this isn't wrong but that answer seems wrong)

13. Jane buys a set of 17 spiral notebooks. Each notebook has 95 pages. What is total number of pages?

Answers

Multiply number of notebooks by number of pages in each one.

17 x 95 = 1615

The answer is 1,615 total pages

Answer:

A. 1615

Step-by-step explanation:

Solve as shown:

17 books that each have 95 pages equals the total pages.

17(95)=?

17(95)=1615

help I know is easy but I don't know ​

Answers

Answer:

? = 2 sqrt(21)

Step-by-step explanation:

We can use the Pythagorean theorem to solve since this is a right triangle

a^2 + b^2 =c^2

?^2 + 4^2 = 10 ^2

?^2 + 16 = 100

Subtract 16 from each side

?^2 +16-16 = 100-16

?^2 = 84

Take the square root of each side

sqrt(?^2) = sqrt(84)

? = sqrt(4) sqrt(21)

? = 2 sqrt(21)

Answer:

[tex]? =9.16515139[/tex]

Step-by-step explanation:

→You can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we area already given the hypotenuse (10), and are solving for the leg. So plug in the numbers, like so:

[tex]4^2+b^2=10^2[/tex]

[tex]16 + b^2=100[/tex]

→Subtract 16 from both sides:

[tex]b^2 = 84[/tex]

→To get "b," by itself, square root both sides, like so:

[tex]\sqrt{b^2} = \sqrt{84}[/tex]

[tex]b = 9.16515139[/tex]

The reminder when the square of any prime number greater than 3 is divided by 6 is ​

Answers

Answer:

(A) 1(B) 3 (C) 2(D) 4

Step-by-step explanation:

Help will mark brainliest

Answers

Answer:

- 1 4/5

Step-by-step explanation:

-1 1/5 + - 3/5

Since the signs are the same, we add and take the sign

1 1/5 + 3/5

1 4/5

The sign is negative

- 1 4/5

On the number line start at - 1 1/5 and go to the left 3/5( since the sign is negative)  you will end up at - 1 4/5

Combine the like terms to create am equivalent expression y-(-3y)

Answers

Answer:

[tex]=4y[/tex]

Step-by-step explanation:

[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]

Answer:

[tex] = 4y[/tex]

Step-by-step explanation:

[tex]y - ( - 3y)[/tex]

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

so,

[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

67.5675675676 rounded to the nearest tenth I get confused sometimes lol.....I completely forgot how this goes, please help me, its for a lab:|

Answers

Answer:

67.6

Step-by-step explanation:

Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.

Can the polynomial in the numerator of the expression x^2-5x+7/x-9 be factored to derive (x − 9) as a factor

Answers

Answer:

Step-by-step explanation:

We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:

9 |   1     -5     7

____________

First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:

9 |  1     -5     7

______9____

     1

Now add down the column to get:

9 |  1   -5    7

_____9____

     1    4

Now multiply 4 by 9 and put that product up under the 7:

9 |   1    -5     7

______9__36

      1     4

Now add to see what the remainder is:

9 |   1     -5     7

_______9_36

      1      4    R43

we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.

So the answer is No.

The list price of an item is $ 93.45. The supplier is offering a series trade discount of 7/23. Find the net cost.

Answers

Answer: $66.92

Step-by-step explanation:

We can get the final price by calculating the first discount and then subtracting this from the original price to get the amount to which the second discount is applied. We can then determine the final price by subtracting the second discount from the intermediate price.The percent of the first discount is 7.

The price after the first discount is $93.45−($93.45×0.07)=$86.91.

The price to which the second discount is applied is $86.91.

The second discount is 23%

86.91 x 0.23 = $19.99

The final price is (86.91 - 19.99) = 66.92

Two lines are guaranteed to be coplanar if they?

Answers

Answer:

If they lie in the same plane

PLZ HELP FAST!!! WILL GIVE BRAINLIEST!!! The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct? PLZ HELP FAST!!!

Answers

Answer:

C) The initial value is 32, and the rate of change is 1.

Step-by-step explanation:

This is the correct answer for edge

What characteristics of these geometric figures create the different requirements?

Answers

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition. 

-Peter ( hope its right )

What's the value of x in the equation: 10x-6=5x34

Answers

Answer:

8

Step-by-step explanation:

10x-6=5x+34

-5x -5x

5x-6=34

+6 +6

5x=40

---- ----

5 5

x= 8

// have a great day //

In a 2012 city election 33% of the eligible voters voted if there were 2500 eligible voters approximately how many people voted round your answer to the nearest whole number

Answers

Answer:

825 people

Step-by-step explanation:

In the City where the election came up, 33% of the eligible voters voted

It is observed that there are 2500 eligible voters approximately.

The people who voted in 2012 is =

33/100 * 2500

=825 People

In 2012, the total number of people who voted in the city is 825 people

Solve each. Show all necessary work.
8. Write the equation of the line in slope-intercept form that passes through (10.21) and (15.36)

Answers

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using y2 - y1 / x2 - x1

36 - 21 = 15

15 - 10 = 5

15/5 = 3, so the slope (m) is 3.

Now, plug into point-slope form: y - y1 = m (x - x1)

y - 21 = 3 (x - 10)

Simplify

y - 21 = 3x - 30

y = 3x - 9

I hope this helps!!

Given PB tangent. PV,PU Secants. If m VU=70 degrees and m ST=30 degrees, then m angle 2=? 20,50,35

Answers

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

odysseywar said i got it right

Convert the following time to 24-hour clock time.
1) 7:25 p.m
2) 9:10 a.m
Convert the following time to 12 hour clock.
1) 0010 hours
2) 1800 hours

Answers

Answer:

1925, 091012:10 a.m., 6:00 p.m.

Step-by-step explanation:

24-hour time has 12 hours added for p.m. The time is written as HHMM, a 4-digit number of "hours." (The two right-most digits are minutes.)

1) 7:25 p.m.   ⇒   1925 hours

2) 9:10 a.m.   ⇒   0910 hours

__

12-hour time starts at midnight, 12:00 a.m. That corresponds to 0000 hours in 24-hour time. Anything beyond 1200 hours is afternoon, p.m.

1) 0010 hours   ⇒   12:10 a.m.

2) 1800 hours   ⇒   6:00 p.m.

What does y=? Also if you cant read that bright red number its 60

Answers

Answer:

y = 13.9

Step-by-step explanation:

The triangle is a 30-60-90 triangle, so x is 16 (double 8). Use the pythagorean theorum to find y. 256 - 64 =192. [tex]\sqrt{192}[/tex] is about 13.9

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