solve the simultaneous equation y+1=2x y^2=3x-2​

Answers

Answer 1

[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]

[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]


Related Questions

What is the scale factor from ABC to XYZ?
A 1/5
B 1/6
C 5
D 6​

Answers

The scale factor is 6

Answer:

Is 6

Step-by-step explanation:

5X6=30

3X6=18

4X6=24

You want to watch 3 DVD's from a selection of 10. How many possible combinations of DVD's do you have

Answers

Answer:

210÷2=105

Step-by-step explanation:

Help, I have no clue how to do this, My memory from 4th grade is bad ;)

Answers

Answer:

S=2

Step-by-step explanation:

the answer can not be higher than 2 because the inequality shows 9 is bigger than what is being added.

9 Is greater than or equal to 7+2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's simpify the inequality ~

[tex]9 \geqslant s + 7[/tex]

[tex]9 - 7 \geqslant s[/tex]

[tex]2 \geqslant s[/tex]

So, the values equal to or less than 2 should be the required solutions ~

that is ~

[tex]s = 2[/tex]

What is 35 X (5 +150)=

Answers

Answer: 5425

Step-by-step explanation:

(4, -3); slope = -1 ​

Answers

Answer:

y + 3 = - x + 4 or y = - x + 1

Step-by-step explanation:

Assume you are looking for an equation of the line passing through (4, -3) and having a slope - 1.

Use point-slope form:

y - y₁ = m(x - x₁)y - (-3) = - 1(x - 4)y + 3 = - x + 4

or

y = - x + 1

Equation in point slope form

y-y1=m(x-x1)y+3=-1(x-4)y+3=4-xy=-x+1

7/12 of £72!!!!
i really need the answer lol

Answers

Answer: Its ¨undefined¨ hope this helps !!

Answer: 42

Step-by-step explanation:

1/12 of 72 is 6

6x7 = 42

Please help me
Thank you x

Answers

Answer:

l think that the answer is 56576

-----------------------------------------------------------
Standard form / Slope intercept form

_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------


Answers

Answer:

1.) y=3x-7

2.) 2=5x-y

3.) y=-4-2x

4.) 1=3/4x+y

5.) y=4x+8

6.) 9=3/4x+8

7.) 9=y+x

8.) y=-2/6x+2

9.) 5=-2/3x+y

Step-by-step explanation:

Standard form is Ax=By=C and Slope form is y-mx+b

for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:

3x-y=7

+7 -7

3x-7=y

then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8

The distance around the edge of a circular pond is 88m. The radius,in meters,is?

Answers

Answer:

88/ 2π

Step-by-step explanation:

Help me with this very confused

Answers

Answer:

[tex] \frac{3 - 5x}{2} [/tex]

Step-by-step explanation:

Set g(x)=y

y=-2/5x+3

5y=-2x+3

2x=3-5y

x=3-5y/2

So g^-1(x)=

[tex] \frac{3 - 5x}{2} [/tex]

Please solve correctly :)

Part C only!!!​

Answers

Answer:

So, the average rate of change is 0.475.

Step-by-step explanation:

If n = 2, then f(n) = 8.82. If n = 6, then f(n) ≈ 10.72. Now, 10.72 – 8.82/ 6 – 2 = 1.9/ 4 = 0.475.

3x-9y=-7 ; 2y-6x=8 elimination

Answers

Answer:

x=-29/24

y=3/8

Step-by-step explanation:

3x-9y= -7 ---A

2y-6x= 8----B

multiply eq A by 2

6x-18y=-14

-6x+2y=8

Add both equations, so you eliminate x since 6x+(-6x) = 0

-18y+2y= -16y

-14+8=-6

so you have

-16y=-6

y=3/8

now substitute this back to eq B, (you can use eq A as well if you like)

2(3/8)-6x=8

3/4-6x=8

-6x=29/4

x=-29/24

what is the solution to this system of equations?

5x-y=40
y=2x-4

A) 20, 12
B) -20, 12
C) 12, -20
D) 12, 20

Answers

We know what y is given the second equation, so let’s plug it in

5x - (2x - 4) = 40

Solve for x

5x - 2x + 4 = 40

3x = 36

x = 12

Plug in x for either equation

y = 2(12) - 4

y = 24 - 4

y = 20

X = 12 and Y = 20, so D
Answer is D

{ solve simultaneously }
rearrange equation to make y the subject
5x-y=40
y=5x-40

Sub y=5x-40 into the second equation given ( y=2x-4 )

5x-40 = 2x-4

Solve normally to find x
x = 12

Sub x=12 into y=5x-40
Solve normally to find y
y = 20

Therefore, answer is D) 12, 20

Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, which is the correct equation to use to find the largest size TV that will fit? TV’s are measured based on the diagonal measure.

Answers

pa brainliest answer po

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice. How much of each ingredient would you need to make 100 quarts of punch?

Answers

Answer:

Step-by-step explanation:

Sparkling grape juice is made with 1.5 quarts sparkling water and 0.75 quarts grape juice. When these two get mixed we get 2.25 quarts sparkling grape juice

So for 2.25 quarts sparkling grape juice we require 1.5 quarts sparkling water

⇒ For 100 quarts sparkling grape juice we require  * 100 quarts of sparkling water

⇒ Sparkling water required for 100 quarts of sparking grape juice = 66.67 quarts

What is the mean absolute deviation (MAD) of the data set?

2, 6, 8, 12, 12

Enter your answer as a decimal in the box.

Answers

Answer:

2+6+8+12+12=40

40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

I took the test

PARALLEL PERPENDICULAR OR NEITHER OR SAME slope

Answers

Answer:

21. Same Line

22. Same Line

23. Perpendicular

24. Neither

25. Parallel

26. Neither

27. Neither

28. Neither

29. Perpendicular

30. Perpendicular

31. Neither

32. Perpendicular

33. Parallel

34. Perpendicular

35. Perpendicular (?)

36. Neither

37. Neither

38. Parallel

39. Neither

40. Parallel

How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5

Answers

Answer:

[tex](2,1)[/tex]

Step-by-step explanation:

Let's first write down the first in traditional form:

[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]

At this point, let's choose the order we want to do it.

Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra

[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]

Eliminating y: Let's simply add the two equations together. Rest is simple algebra

[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]

WILL GIVE LOTS OF POINTS HELP SOLVE SOON, NUMBER 7

Answers

Answer: 4x + 3 = 39

Step-by-step explanation:

Because you don't know how much each pizza costs, you can write it as x.

You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.

That added up should equal 39 because thats how much he spent.

Answer: The answer is C ( 4x + 3 = 39 )

Step-by-step explanation:

4 = number of Pizzas. x = price of pizza. 3 = price of chips. 39 = total of 4 pizzas and chips together.

1) 4x + 3 = 39

2) 4x = 39 - 3

You will seperate the variable(4x) and the constants(3 and 9) So, you move (+3) to the other side making it negative. Then, you subtract (39-3) which will equal to (36)

4) 4x = 36

5) x = 36/4

You want to move the coefficient(4) to the other side. Thus, will make it a division becaue the oppisite of multiplication is division. So you cancel it out from x because 4/4 is 1.

6) x = 9

You divided 36/4 which will equal to 9

7) 4(9) + 3 = 39

What is 13% of 50% of 329,500,000

Answers

First, multiply 0.5 and 329,500,000 to get 164750000. Then, multiply 0.13 and 164750000 to get the final answer which is 21417500

Answer:

21417500

Step-by-step explanation:

Calculate 50% of the given amount then 13% of result

50% of 329500000

= [tex]\frac{50}{100}[/tex] × 329500000

= 0.5 × 329500000

= 164750000

Then

13% of 164750000

= [tex]\frac{13}{100}[/tex] × 164750000

= 0.13 × 164750000

= 21417500

How to find the limit of a function.

Answers

Answer:

In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x.

Step-by-step explanation:

Find the values of x and y.

Answers

Answer:

Y = 69

X = 42

Hope this helps!

Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese?

Answers

Answer:

to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).

Answers

Answer:

(-1, -6),  (7, 0) , and  (11, 3)

Step-by-step explanation:

3x - 4y = 21        Solve the equation for y

3x - 21 = 4y      

(3x - 21)/4 =  y  

Now use the ordered pair and find the true ordered pair

  (-1, -6)     [ (3)(-1) - 21]/ 4 ;    (-3 -21)/4 ;  (-24)/4 = -6     True

   (7, 0)     [(3)(7) -21]/4 ; (21 - 21)/4;  0/4 = 0     True

   (11, 3)    [(3)(11) - 21]/4;  (33 - 21)/4; 12/4 = 3    True

    (-3 ,3)   [(3)(-3) - 21]/4  (-9 -21)/4 ; -30/4  = -7.5   No

plss help i'll give 80 points!! no links please

Answers

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

Brainliest?

As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below.

Point Values for Marble Game
Black Marble Points
Red Marble Points
Both black: +2 points Both red: +4 points
Different colors: –1 point Different colors: –1 point
Both red: 0 points Both black: 0 points

If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?
Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one

Answers

Answer:

ez

Step-by-step explanation:

E(red) will be twice that of E(black), so Seth should choose to play red marbles.

Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.

Both options will lose points because there are two ways to lose points and only one

4. Which of the following is the equation of a line that is perpendicular to a line that
goes through points at (-1,5) and (1, -3) and contains point (4, -4)?
A. y = - 4x - 5
B. y = - 4x - 3
C. y = 1/4 x - 3
D. y = 1/4 x – 5

Answers

Answer:

C. y = 1/4 x - 3

Step-by-step explanation:

He receives 35 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 55 points for a free movie ticket.

Write and solve an inequality which can be used to determine vv, the number of visits Omar can make to earn his first free movie ticket.

Answers

Answer:

8

Step-by-step explanation:

expand and simplify 4(x+3)+4(x+5)

Answers

Answer : 8x + 32

Explanation: you would distribute the 4 to the x and the 3 which would get you 4x + 12 +4(x+5) then u would distribute the other 4 to the x and 5 which would then get u to 4x + 12 + 4x + 20 then u would combine like terms so 4x + 4x and 12 + 20 and that would get you to 8x + 32

write an equation in
Slope-int form
m=9, b=4

Answers

Answer:

y=9x+4

Step-by-step explanation:

9 is the slope and 4 is the y-intercept, or the "b"

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