what is y when the equation is x^2 - 3xy -4y^2 =0

Answers

Answer 1

Answer:

y = 1/8 (5 sqrt(x^2) - 3 x) or y = 1/8 (-3 x - 5 sqrt(x^2))

Step-by-step explanation:

Solve for y:

-4 y^2 - 3 x y + x^2 = 0

Hint: | Multiply both sides by a term to make the coefficient of y^2 positive.

Multiply both sides by -1:

4 y^2 + 3 x y - x^2 = 0

Hint: | Using the quadratic formula, solve for y.

y = (-3 x ± 5 sqrt(x^2))/8:

Answer: y = 1/8 (5 sqrt(x^2) - 3 x) or y = 1/8 (-3 x - 5 sqrt(x^2))


Related Questions

The perimeter of your closet is equal to 18 feet. The difference of the length and the width equals 1 foot. Write a system of linear equations which represent the perimeter of your closet in respect to its width (x-axis) and length ( y-axis), and solve the system by graphing.

Answers

9514 1404 393

Answer:

  length: y = 5

  width: x = 4

Step-by-step explanation:

The perimeter is twice the sum of length and width:

  P = 2(L+W)

  18 = 2(y +x) . . . . . using the given values

The difference in dimensions can be expressed as ...

  y -x = 1

When the above two equations are graphed, we see the solution is ...

  (x, y) = (4, 5)

find the following
50%of20​

Answers

Answer:

10%

Step-by-step explanation:

you would just divide it by 2.

Answer:

10

Step-by-step explanation:

because 50% is half so the half of 20 when you break it down is 10 or if its a percent 10%

Jordan is purchasing a summer home. The home he wanted to buy was originally $227,000.
When he looked today, the home is selling for 12% less. What is the home selling for today?

Answers

199,760 you would multiply 12% times 227,000 then subtract your product from 227,000

Answer:

$199,760

Step-by-step explanation:

$227,000

- 12%

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

$199,760

Zahmiere and Brayden are playing basketball. Yesterday, Zahmiere made 3 shots in 5 attempts, while Brayden made 4 shots in 6 attempts. If they continue at those rates, who will make more shots in 30 attempts? Plsss answer

Answers

Brayden would make the most shots in 30 attempts.

17 = − 13 − 8 x

Show your steps Please :3

Answers

Answer:

x = 3.75 or [tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

17 = -13 - 8x

add 13 to both sides

17 + 13 = -13 + 13 + 8x

30 = 8x

divide both sides by 8

30/8 = 8x /8

3.75 = x

Add 13 on both sides to get the x and it’s coefficient together. Now it is 30 = -8x. Divide both sides by negative 8 and X is equal to 3.75.

The low temperatures in two cities are being compared. In City 1, the range in temperature is 20°F and the IQR is 7°F.
In City 2, the range in temperature is 15°F and the IQR is 7°F.
What might you conclude about the cities based on the ranges and interquartile ranges?

Answers

B.The weather pattern in City 2 is more consistent than the weather pattern in City 1

explanation:

Range and interquartile range (IQR) measures the spread of data. Range measure the overall spread and IQR measures spread in 50% of data.

Range is calculated by differencevof maximum and minimum value whereas IQR is calculated by difference of First quartile and third quartile.

Since, the range and IQR is less for City 2 as compared to City 1.

Thus ,weather pattern of City 2 is more consistent as compared to City 1.

Answer: b

Step-by-step explanation: I did it on my paper and it kind of took a long time


For a field trip, 25 students rode in cars and the rest filled eight buses. How many students
were in each bus if 321 students were on the trip?

Answers

37 students were in each bus!

321-25=296
296/8=37

Hope this helps and please mark brainliest!!

if f(x)=3x-2 and g(x)=+1, find (f+g)(x)

A. 5x-3
B. 5x-1
C. x-1
D. x-3

Answers

Answer:

3x-2+2x+1=5x-1

Step-by-step explanation:

X-9y=17 find y (use integers or fractions for any numbers in the expression)

Answers

Let's see what to do buddy...

_________________________________

[tex]x - 9y = 17[/tex]

Subtract the sides of the equation minus x

[tex] - 9y = 17 - x[/tex]

Divided the sides of the equation by -9

[tex] \frac{ - 9}{ - 9}y = \frac{17 - x}{ - 9} \\ \\ [/tex]

[tex]y = \frac{ - (17 - x)}{9} \\ [/tex]

[tex]y = \frac{x - 17}{9} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Tammy took a five-hour flight to Denver, Colorado. She traveled
1,940 miles in all. If she traveled the same number of miles each hour, how many
miles did she travel in once hour?

Answers

Answer:

388 miles in one hour.

Step-by-step explanation:

You divide 1,940 by 5.

Answer:

388

Step-by-step explanation:

What is the solution to the equation
[tex] \sqrt{2x - 4} equals6[/tex]

Answers

The answer is that x=5.

Ted's Bikes rents bikes for $15 plus $3 per
hour. Carlos paid $30 to rent a bike. For
how many hours did he rent the bike?

Answers

Answer:

Let he rent bike for x hours

then

15 + 3*x = 30

3x= 15

x= 15/3 = 5 hours

Step-by-step explanation:

ANSWER>> WHAT IS THE DOMAIN OF THE FUNCTION GRAPHED?<

Answers

Answer:A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The domain of a parabola is always x er, unless it's been inverted then it's the opposite.

angle a and b are supplementary angles. angle where a = 30+2x and b =x what is the measure of b degress

Answers

Answer:32  times 4 -  8 in degrees

Step-by-step explanation:

Since b = x, hence the value of b is 30 degrees

For two angles to be supplementary, the sum of the angles must be equal to 180 degrees

Given the angles

a = 30 + 2x

b = x

Equating the sum to 180

a + b = 180

30+2x + x = 180

30 + 3x = 180

3x = 180 - 30

3x  = 150

x = 30 degrees

Since b = x, hence the value of b is 30 degrees

Learn more here: https://brainly.com/question/22309882

Write the standard number for 800,000 + 4,000 + 600 + 40 + 2.
____________________________________________________________
I know nothing about this problem.

Answers

Answer:

804,642

Step-by-step explanation:

800,000 + 4,000 + 600 + 40 + 2.

Add the terms

804,642

write the equation of the line parallel to 2x - 3y = 0 and passes through the point (5, 4).​

Answers

Answer:

2x - 3y = 2

Step-by-step explanation:

Parallel lines have same slope

Given line, in slope intercept form

2x - 3y = 03y = 2xy = 2/3x

Parallel line is

y = 2/3x + b

Using point (5, 4) to find b

4 = 2/3*5 + bb = 12/3 - 10/3b = 2/3

y = 2/3x + 2/3 in slope-intercept form or

2x - 3y = 2 in standard form

A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height, what is the volume of the prism? (1 point) Group of answer choices A. Fraction 2 and 3 over 10 cubic inches B. Fraction 3 and 3 over 5 cubic inches C. Fraction 7 and 1 over 5 cubic inches D. Fraction 7 and 1 over 10 cubic inches

Answers

Given:

A right rectangular prism is packed with cubes of side length [tex]\dfrac{1}{5}[/tex] inch.

Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.

To find:

The volume of the prism

Solution:

Side length of each cube [tex]=\dfrac{1}{5}[/tex] inch.

15 cubes along the length, so length of prism is

[tex]l=15\times \dfrac{1}{5}=3\text{ inches}[/tex]

6 cubes along the width, so width of prism is

[tex]b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}[/tex]

5 cubes along the height, so height of prism is

[tex]h=5\times \dfrac{1}{5}=1\text{ inch}[/tex]

Now,

Volume of rectangular prism is

[tex]V=l\times b\times h[/tex]

[tex]V=3\times \dfrac{6}{5}\times 1[/tex]

[tex]V=\dfrac{18}{5}[/tex]

[tex]V=\dfrac{3\times 5+3}{5}[/tex]

[tex]V=3\dfrac{3}{5}\text{ cubic inches}[/tex]

Therefore, the correct option is B.

Helppp it’s 7: 50 and and I need this by 8 help!!!!

Answers

Answer:

The equation is y = 12.5x I believe.

Answer;

The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.

The equation is

y = 12.5 × t

Explanation:

To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:

For example

25

miles

÷

2

hours

=

12.5

miles

hour

A direct proportionality will always result in an equation that resembles this:

y = k x where  y and  x are the related quantities and  k is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. And if the values given are real physical quantities, this constant will contain important information about the situation you are studying.

Rachel and four friends were going to the movies. Each ticket cost $11 and then they bought 2 popcorns at $3.75 each, and they each bought their own soda at $2.75 each. How much money did they spend total for their trip to the movies? If they decide to split the bill, how much will they each pay?

Answers

Answer:

Total amount spent [tex]=\$73.5[/tex]

If they decide to split the bill, amount paid by each of the person  [tex]=\$15.25[/tex]

Step-by-step explanation:

Cost of each movie ticket = $11

Cost of 5 tickets = 5(11)= 55

Cost of each packet of popcorns = $3.75

Cost of two packets of popcorns = $2(3.75) = $7.5

Cost of each soda = $2.75

Cost of five sodas = $5(2.75) = $13.75

Total number of persons (Rachel and four friends) = 5

Total amount spent [tex]=11(5)+2(3.75)+5(2.75)=55+7.5+13.75=\$76.25[/tex]

If they decide to split the bill, amount paid by each of the person = [tex]\frac{76.25}{5}=\$15.25[/tex]

7 is a solution to the equation 3n + 9 = 33.
The sum of negative five plus three times a number equals twenty-eight.

The sum of three and a number times negative five gives twenty-eight.

The product of three times a number equals twenty-eight.

The product of negative three and a number plus five equals twenty-eight.
??????

Answers

Answer:

Step-by-step explanation:

1. 7 is not the solution of 3n+9 because if you do 7*3 and add 9 you will get 30.

2.

  -5+3n=28

-5+5+3n= 28+5

         3n=33

            n= 11  

3. 3n= 28

     n= 28/3 or 9.333333

4. -3+n+5=28

          n+2= 28

       n+2-2= 28-2

                n= 26  

Answer:

it's d

Step-by-step explanation:

i got it right and the pic above :)

Find the sale price of the item. Round to two decimal places if necessary.

Original price: $75.00

Markdown: 34%

The sale price is, in dollars, is:

Answers

Answer:

23.9$

Step-by-step explanation:

IM smart

Answer:

$49.50

Step-by-step explanation:

The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday. On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed. On Wednesday, Louie ate 1 less than 3/4 of the total number of burritos consumed. Write an equation to determine the total number of burritos consumed. Hint: let x = # burritos consumed.

Answers

Answer:

The total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]

Step-by-step explanation:

Let x be the total number of burritos consumed

We are given that On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed

So, Number of burritos ate by Delainey on Tuesday=[tex]\frac{1}{2}x+16[/tex]

We are also given that  Louie ate 1 less than 3/4 of the total number of burritos consumed.

So, Number of burritos ate by Louie on Wednesday =[tex]\frac{3}{4}x-1[/tex]

We are given that The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday.

So, [tex]\frac{1}{2}x+16=\frac{3}{4}x-1\\1+16=\frac{3}{4}x-\frac{1}{2}x\\17=\frac{x}{4}\\68=x[/tex]

Hence  the total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]

Rewrite in simplest terms: -4(-2x-7)+6x-7

Answers

-4(-2x-7)+6x-7
6x+28+6x-7
12x+21

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x ?

Answers

Answer:

48/3 or 16/1

Step-by-step explanation:

Answer:

48/3

Step-by-step explanation:

Which fraction is equivalent to negative 4 over 6?

Answers

Answer:

Step-by-step explanation:

The answer is 4 over negative 6 is equal to negative four over six.

hope this helps.

albert bought a jacket for ​$​34.35, a pillow for ​$​11.75, and a glove for ​$16.25. albert paid ​$60 and the rest he borrowed from a friend. If albert got ​$7.65 in change from the​ cashier, how much did albert borrow from his friend to pay for all the​ items?

Answers

Answer:

$10

Step-by-step explanation:

add all prices subtract $60 then add 7.65

8 + 11x
12x + 1
What’s the value of X?

Answers

Answer:

x = 7

Step-by-step explanation:

8 + 11x = 12x + 1

-x + 8 = 1

-x = -7

x = 7

Answer:

Step-by-step explanation:

The scale of a map is 1 cm​ : 80 km. What is the actual distance between two towns that are 3 cm apart on the​ map? 

Answers

Answer:

240km

Step-by-step explanation:

3*80=240

1cm=80km

3cm=240km

PLEASE HELP HELP. I don’t get the 8 and 9

Answers

Answer: y=8 m=5

Step-by-step explanation:

Answer:

1. 3.125

2. 4.5

Step-by-step explanation:

1. Since the figures are similar, the number you divide from one triangle to the other is the same, no matter the side length. 5(x) = 8 so 5/x = y. If x = 1.6, then y equals 3.125.

2. The same thing here. 4/x = 3 and 6/x = m. In the first equation x would be 1 1 1/3. 6/ 1 1/3 is the same as 6 x 3/4 which is 18/4 or 4.5.

Marcus is rewriting a polynomial by combining like terms. Which terms does he still need to combine to finish rewriting the polynomial?

-3mn^3 - 4n^4 + 2mn - 6n - 5mn^3 - 6m^3n

Answers

Answer:

-3mn^3 and -5mn^3

Step-by-step explanation:

had it correct on my test - PLATO

Marcus  has to add -3mn^3 and -5mn^3 to complete the polynomial.

Marcus is rewriting a polynomial by combining like terms

What is polynomial?

Polynomial equation is equation of independent variables.

Here, questions seems to be incomplete.
In polynomial, it can be of maximum endless number of term or minimum 1 term. Marcus can add any number or repeat any number. And if he revised the old number than the number could be -3mn^3 and -5mn^3.

Thus, Marcus  has to add -3mn^3 and -5mn^3 to complete the polynomial.

learn more about polynomial here:

brainly.com/question/11536910

#SPJ2

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