A pair of equations is shown below.

x + y = 2
y = one halfx + 5

If the two equations are graphed, at what point do the lines representing the two equations intersect?

Answers

Answer 1
Answer:
solution is (-2,4)
Step-by-step explanation:


Let’s graph both equations.
solve for y

Make a table to graph the equation
x y=-x+2
0 y=2
1 y=1
Graph the points (0,2) and (1,1) . then extend the line that connects two points

x y=(1/2)x+5
0 y=5
2 y=6
Graph the points (0,5) and (2,6) . then extend the line that connects two points
The graph is attached below
Both lies intersects at (-2,4)
Answer 2

Answer:

(-2,4)

Step-by-step explanation:

From qsn

x + y = 2

or, x = 2-y .... (i)

And,

y = (x/2) + 5 (one half x)

or 2y = x + 10

or x = 2y - 10 .... (ii)

From eqn i and ii we get

2-y = 2y-10

or 12 = 3y

or y = 4

putting the value of y in eqn (i) we get

x = 2-4

or, x = -2


Related Questions

Estimate the shaded areas of the following shapes.???​

Answers

Answer:

436cm^2

Step-by-step explanation:

you're gonna have to round up to the nearest whole number.for no.2 split the shape so that it'll give u two rectangles.for no.3 find the area of the small rectangle and minus from the area of the big rectangle

Big rectangle =30*16=480

small rectangle =4*11=44

480-44=436

WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step​

Answers

Answer:

1400m^2

Step-by-step explanation:

Solution,

Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,

Now,

Perimeter of the rectangle=2(l+b)

150=2(x+5+x)

150=2(2x+5)

150=4x+10

150-10=4x

140=4x

140/4=x

35=x

So, the breadth of the rectangle=35 m

and length=(35+5)m=40m

Again,

Area of the rectangle=l×b

=40m×35m

=1400 m^2

I hope it helped U

stay safe stay happy

Answer: Area= 1400[tex]meter^{2}[/tex]

Step-by-step explanation:

ok  so  we can assume the

breadth=X

so, length = X+5 (because the length is 5 meters more than the breadth)

perimeter= 150 meters

the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)

so now if we put the values,

2 * ( X+5 +X) = 150 ( because 150 is the perimeter)

2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).

now we multiply  2 with both sides

so ( 2 * 2X) + (2 * 5)

hence, 4X + 10 = 150

now we will solve the equation,

4X= 150 -10 (because we did transposal the signs will change from "+" to "-")

4x= 140

again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing

so now,

X= 140÷4

which is equal to 35

so finally X = 35

so as we have written in the beginning breadth= X

and LENGTH= X+5

so now we have found X

BREADTH= 35

LENGTH= 40 (because 35+5 is 40)

now we have to find area the formula for finding the area is LENGTH×BREADTH

so, 40 × 35 = 1400

now we put the unit which is square meters also known as [tex]m^{2}[/tex]

so there is your final answer 1400[tex]m^{2}[/tex]

How many gallons, quarts, and pints are in 72 cups (not all together)

Answers

Answer:

72 cups=4.5 gallons

72 cups=18 quarts

72 cups=36 pints

Step-by-step explanation:

To find out how many pints are in 72 cups you have to divide the volume value by 2. To find out how many quarts are in 72 cups you have to divide the volume value by 4. To find out how many gallons are in 72 cups you have to  divide the volume value by 16.

Hope this helped for you!

f(x)= -2x^2 - 5 and f(2)= -13

can someone solve this in steps please?

Answers

This is one way you could write out the steps

f(x) = -2x^2 - 5

f(2) = -2(2)^2 - 5

f(2) = -2(4) - 5

f(2) = -8 - 5

f(2) = -13

Answer:

Step-by-step explanation:

First you have to get the meaning clear.

f(2) means that wherever you see an x on the right side of the equation, you put a 2.

f(2) means -2*(-2)^2 - 5

(-2)^2 = -2 * -2 = 4

f(2) = -2 * 4 - 5

f(2) = - 8 - 5

f(2) = -13

What is the solution of
2x = 3 + 4 = 7?

Answers

Answer:

x = 6

Step-by-step explanation:

Given

[tex]\sqrt{2x-3}[/tex] + 4 = 7 ( subtract 4 from both sides )

[tex]\sqrt{2x-3}[/tex] = 3 ( square both sides )

2x - 3 = 3² = 9 ( add 3 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

3x
Are 10 - 20 and 5(2 - 20) equivalent expressions? Explain.

Answers

Answer:

No.

Step-by-step explanation:

Take the second expression: 5(2 - 20)

To solve, you must distribute the 5 to all terms within the parenthesis:

5(2 - 20) = (5 * 2) - (5 * 20) = 10 - 100 = -90

On the other hand:

10 - 20 = -10

∴ the two expressions are not equivalent.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{\bold{No, they are not equivalent because...}}\\\\\\\large\textsf{5(2 - 20)}\\\large\textsf{= 5(2) + 5(-20)}\\\large\textsf{= 10 - 90}\\\boxed{\large\textsf{= \bf -90}}\\\\\large\textsf{10 - 20}\\\large\textsf{\boxed{\large\textsf{= \bf -10}}}\\\\\\\large\boxed{\star}\large\textsf{-10}\neq\large\textsf{-90}\large\boxed{\star}[/tex]

[tex]\huge\boxed{\mathsf{Answer: \bold{NO,}\ because \ \bf -10 \ does \ NOT}}\\\huge\boxed{\mathsf{\bf equal \ to -90}}\huge\checkmark[/tex]

[tex]\bullet\ \frak{Random\ fact: negatives \ are \ on\ the\bf \ LEFT\ side\ of\ the \ number\ line\ \& \ positives}\\\frak{are\ on\ the\bf \ RIGHT\ side\ of\ the\ number\ line}[/tex]

[tex]\large\text{Good luck on your assignment \& enjoy your day!}\\\\\\\huge\boxed{\frak{Amphitrite1040}}[/tex]

Write an equation for the situation then solve for x.
Julio rented a bike from Krystal's Bikes. It
cost $13 plus $2 per hour. If Julio paid $17,
then he rented the bike for how many hours?

Answers

Hello!

The first thing we need to determine is: what exactly are we trying to find? Well, in this case, that would be the amount of hours Julio rented a bike for. We can set that number as a variable: x

We know that the rental total was 17 dollars. Therefore, we will set our equation equal to 17: (equation)=17

Next, we know that the rental costed 13 dollars upfront plus 2 dollars for every hour he rented it for. We can substitute “x” in for the amount of hours he rented it for, since that is what we are trying to find. We will multiply that by 2, since he has to pay 2 dollars for ever “x” hour he rents the bike. Add 13 dollars to that, since he has to pay that upfront: 2x+13=17

Now, let’s solve for x! Start by subtracting 13 from each to get the “2x” by itself:

2x=4

Now divide each side by 2 to get the value of x

X=2

Therefore, Julio rented the bike for 2 hours!

I hope this helped! Comment if you have any questions!

The number of hours should be 2.

Given that,

There is the cost of $13 plus there is $2 per hour.And, the amount paid is $17.Here we assume the number of hours be x.

Based on the above information, the equation is as follows:

2x + 13 = 17

2x = 17 - 13

2x = 4

x = 2

Therefore we can conclude that the number of hours should be 2.

Learn more: brainly.com/question/3530056

Jack walks onto an elevator at floor level 2. The elevator goes up 3 floors, down 8 floors, and back up 11 floors. What floor is Jack on now?

Answers

he is on floor 8 now

What is 40 kilometers per hour in meters per hour?

Answers

Answer:

D. 40,000

BRAINLIEST, PLEASE!

Step-by-step explanation:

There are 1000m in 1km.

40 x 1000 = 40,000

Write 6.21 as a mixed number in simplest form.

Answers

Answer:

6.211=( 6.21×100) (1×100) =621100

Hope that helped you

Answer: 6 21/100

Explanation:

6.21 = 621/100 = 6 21/100

if i have one quarter,7 dimes, and four nickes how much money do i have.​

Answers

1.15 $ ok Iko ok okie

The smallest number when subtracted from the difference of the square of 29 and 22 gives a perfect square is​

Answers

Answer:

Your answer is 33.

step- by step :

29×29-22×22=841-484

= 357

Closest square of 18 which is 324.

So, 357-324= 33. ans.

Express
as a trinomial.
(2x – 6)(x – 4)

Answers

Answer:

[tex]2x^2 - 14x + 24[/tex]

Step-by-step explanation:

Answer:

[tex](2x - 6)(x - 4) \\ 2 {x}^{2} - 8x - 6x + 24 \\ 2 {x}^{2} - 14x + 24 \\ thank \: you[/tex]

Which definition best describes vertical angles?

Answers

Vertical angles are a pair of opposite angles formed by intersecting lines

What are the domain and range of the function f(x) = 3/4 x+5?

Answers

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values

answer quick pls!!

Find the ordered-pair solution of y = 4x + 1 that corresponds to x = -1

Answers

Answer:

(- 1, - 3 )

Step-by-step explanation:

Substitute x = - 1 into the equation and evaluate for y

y = 4(- 1) + 1 = - 4 + 1 = - 3

solution is (- 1, - 3 )

(-1,-3) this should help

x+4+3(x)=x-8
Answer this for me

Answers

Step-by-step explanation:

3x= (-8) -4

x=(-12)/3

x= -4

Hello!!! I can help

Answer:

 =  − 4

Step-by-step explanation:

Answer the following questions.
1. Trish can complete 10 problems in 60 minutes. At this rate, could she complete 25 problems in 130 minutes? Write your answer as YES or
NO.

Answers

Answer:No Hope this helps

Is 17/2 rational or irrational?

Answers

Answer:

it's a Rational number

Step-by-step explanation:

because it repeats and stops

Hi, I'm happy to help!

A number is rational if it repeats itself, or stops. This number, both in fraction and decimal form (8.5), stops. This means that the number is rational.

I hope this was helpful, keep learning! :D

What is the area?
Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

1 2/3 cm^2.

Step-by-step explanation:

Area = 1 2/3 * 1

= 1 2/3

HELPPGPGPPHPHGPPFPSLLSLSL

Answers

If Carla would have bought 4 plants it would have been 13 dollars from green touch

If she would have bought them for the grocery store it would have been 14 dollars

So in conclusion she saved 1 dollar
Option 3

the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way​

Answers

Answer:

Step-by-step explanation:

Take out a common factor (x)

x ( 1 - 0.10 )                

Now do the subtraction

0.90x

Please help with questions 4,5 and 6!

Answers

Answer:

Step-by-step explanation:

4) ∠CTB , ∠PTA are vertical angles

If sum of two angles add up to 90, then they are Complementary angles.

If sum of two angles add up to 180, then they are Supplementary angles.

∠FTA and ∠ATR are supplementary angles

5) ( 1 , 2 )  & (3 , 6)

[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]

             [tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

             = (2 , 4)

6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

                  [tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]

A rectangle is a quadrilateral with 444 right angles. A rhombus is a quadrilateral with 444 sides of equal length. What is the most precise name for a shape that is both a rectangle and a rhombus

Answers

A shape that has both 4 right angles AND 4 sides of equal length is a square.

Answer:

Square

Step-by-step explanation:

A shape with 4 right angles and 4 sides of equal length is a square

It makes sense if you think about it for a couple minutes

what is ????????????????? 21x+28<10-3x

Answers

Answer:

x < -3/4

Step-by-step explanation:

21x + 3x < 10 - 28

24x < -18

x < -18/24

x < -3/4

if jack is sitting on the chair no 14 from the left Find his place from the right if the chairs are numbered from 1 to 40 ?

Answers

Answer:

26

Step-by-step explanation:

if his chair is 14 away from the left he would be 26 away from the right

Write the descending chromatic scale beginning on C

Answers

Answer:

c(half note), b(flat, quarter note), a(quarter note), g(quarter note), f(quarter note), e(flat, quarter note), d(quarter note), c(half note)

Step-by-step explanation:

i cant draw it on the sheet music itself but I hope that helps

Find the value of

(3/2)³
(-1/2)³

Answers

Hope it helpsssss !!!!!

[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]

(1) Value of 5³

[tex] \sf{5}^{3} \\ = \sf5 \times 5 \times 5 \\ = \boxed{\bf 125}[/tex]

(2) Value of (3/2)³

[tex] \sf( { \frac{3}{2} })^{3} \\ \sf = \frac{ {3}^{3} }{ {2}^{3} } \\ \sf= \frac{3 \times 3 \times 3}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{27}{8} }[/tex]

=> The answer in decimal format is [tex]\boxed{\underline{\bf \: 3.375}}[/tex]

(3) Value of (-1/2)³

[tex] \sf( \frac{ - 1}{2} ) ^{3} \\ = \sf \frac{ { - 1}^{3} }{ {2}^{3} } \\ \sf = \frac{ - 1 \times - 1 \times - 1}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{ - 1}{8} }[/tex]

=> The answer in decimal format is [tex]\boxed{\underline{\bf \: -0.125}}[/tex]

_______

Hope it helps.

RainbowSalt2222

Is the inequality sometimes, always, or never true?

Answers

Answer:

never true.

Step-by-step explanation:

Answer:  Never true

Work Shown:

-2(2x+9) > -4x+9

-4x-18 > -4x+9 ... distribute

-18 > 9 .... add 4x to both sides; they cancel

The last inequality is false regardless of which x value you pick. Since the last inequality is always false, that means the first inequality is always false.

a times b whole cube

Answers

Answer:

i don't know what's the question

Step-by-step explanation:

like I don't know

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