simplify:(x/y+y/x-1)+(x^2/y^2-x/y+1)​

Answers

Answer 1

Answer:

[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]

Step-by-step explanation:

[tex]( \frac{x}{y} + \frac{y}{x - 1} ) + ( \frac{ {x}^{2} }{ {y}^{2} } - \frac{x}{y + 1} )[/tex]

[tex] \frac{xy \times (x - 1) \times (y + 1) + {y}^{3} \times (y + 1) + {x}^{2} \times (x - 1) \times (y + 1) - {xy}^{2} \times (x - 1)}{ {y}^{2} \times (x - 1) \times (y + 1)} [/tex]

[tex]\frac{( {x}^{2} y - xy) \times (y + 1) + {y}^{4} + {y}^{3} + ( {x}^{3} - {x}^{2} ) \times (y + 1) - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{2} - {y}^{2} ) \times (y + 1)}[/tex]

[tex] \frac{ {x}^{2} {y}^{2} + {x}^{2} y - {xy}^{2} - xy + {y}^{4} + {y}^{3} + {x}^{3} y + {x}^{3} - {x}^{2}y - {x}^{2} - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} ) } [/tex]

[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]

Answer 2

Answer:

2

Step-by-step explanation:


Related Questions

HELP ASAP

Find the equation of the line:

Answers

Answer:

y=-3.5

Step-by-step explanation

Answer:

y = -3.5

Step-by-step explanation:

This is a horizontal line ( the y value does not change)

Horizontal lines are of the form

y=   constant

y = -3.5

help please like PLEASE ASAP

Answers

Answer:

1/5^5

Step-by-step explanation:

Flip the equation into a fraction.

:>

I think the answer is 1/5^5

Find the equation of the line passing through the point (-3.6, 2.1) and parallel
to the line 4.9x + 5.4y = 3

Answers

Answer:

y = -4.9/5.4x - 1.17

Step-by-step explanation:

First let's convert the equation to standard form of y = mx + b.

4.9x + 5.4y = 3

Subtract 4.9x from both sides.

5.4y = -4.9x + 3

Divide each term by 5.4.

y = -4.9/5.4x + 0.56

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = -4.9/5.4x + 0.56. Its slope is -4.9/5.4. A line parallel/perpendicular to this one will also have a slope of -4.9/5.4.

Plug this value (-4.9/5.4) into your standard point-slope equation of y = mx + b.

y = -4.9/5.4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-3.6, 2.1). Plug in the x and y values into the x and y of the standard equation.

2.1 = -4.9/5.4(-3.6) + b

To find b, multiply the slope and the input of x (-3.6)

2.1 = 3.27 + b

Now, subtract 3.27 from both sides to isolate b.

-1.17 = b

Plug this into your standard equation.

y = -4.9/5.4x - 1.17

This equation is parallel/perpendicular to your given equation (y = -4.9/5.4x + 0.56) and contains point (-3.6, 2.1)

Hope this helps!

1,4,9 find the fifth pattern​

Answers

Answer:

1, 4, 9, 16, 25

Step-by-step explanation:

The pattern increases by an odd number. It can be seen that;

for the first pattern

1²=1

for the second pattern

2²=4

for the third pattern

3²=9

for the forth pattern

4²=16

for the fifth pattern

5²=25

2
Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15).
y =
ir +7
Complete the table based on the given domain.
х
у
-6
5
15
15
Reset
Next

Answers

Answer:

the first one x is 6 and y is 11

the second one y is 5 and x is 3

the third one x is 15 and y is 17

the fourth one y is 15 and x is -12

Step-by-step explanation:

to find the first answer you have to use the actual equation given and substitute the value of x in it

y=-2(-6)/3+7

=12/3+7

=4+7

=11

the second one is quite different because the value of y has been given and not x so you have to substitute the value of y in the equation which is 5

5=-2x/3+7

5-7=-2x/3

-2/1=-2x/3

-2x/-2=-6/-2

x=3

for the third one you have to solve it like the first one

y=-2(15)/3+7

=10+7

=17

the fourth one is similar to the second one

15=-2x/3+7

15-7=2x/3

8=2x/3

-2x/-2=24/-2

x=-12

I hope this helps

subtitude the value in the equation
first row,second column
when x=-6
y=-2x/3+7
y=-2(-6)/3+7
y=11

second row first column
when y=5
y=-2x/3+7
5=-2x/3+7
5-7=-2x/3
-2=-2x/3
x=3

third row second column
when x=15
y=-2x/3+7
y=-2(15)/3+7
y=-10+7
y=-3

last row first column
-12

which of the following are exterior angles?

Answers

Answer:

A, B, E

Step-by-step explanation:

Exterior angles are angles that are outside the shape. In this case, angle 4, 3 and 2 are exterior angles.

Please read below. Thank you.

Answers

Answer:

desmos .com

Step-by-step explanation:

Answer: See the graph below

Step-by-step explanation:

Concept:

Formula for circle: (x - k )² + (y - h)² = r²

Center = (k, h)

Radius = r

**Disclaimer** variables used can be different

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

Solve:

Given: (x - 2)² + (y + 3)² = 16

Center = (2, -3)

Radius = √16 = 4

Hope this helps!! :)

Please let me know if you have any questions

I WILL GIVE BRAINLISEST AND 40 pOINTS PLEASE HELP!

Determine the surface area of the square based pyramid. Round to the tenths place. 37 cm is the vertical height of the pyramid.

Answers

Answer:

SA= 3603.84cm^2

Step-by-step explanation:

the Surface Area SA is the total area of the sides and the base.

The area of the base= 32*32= 1024cm^2

the area of one of the sides = slant height of pyramid * base edge/2

the slant height l of the pyramid

l= sqrt(16^2+37^2) = 40.31cm

area of the side =( 40.31*32)/2 =644.96cm^2

there are 4 sides so the area of the sides are

4* 644.96=

addig the area of the base we get the Surface Area SA of the pyramid

SA = 2579.84 + 1024 = 3603.84cm^2

WILL GIVE BRAINLIEST, HELP QUICK!!

Answers

The answer is A

It is A because it is 4 units squares away so it has to be A.

Hope this helps :))))

Answer:

the answer is 5 units

Step-by-step explanation:

You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2

Ryan received a box of jelly beans for his birthday. The jelly beans in the box have five
different flavors. The table below shows how many jelly beans of each flavor are in the box.
JELLY BEANS
Flavor
Number
Grape
16
Licorice
10
Cherry
12
Lemon
14
Lime
8
The jelly beans are all the same shape and size. Ryan does not like licorice or lime. What is the
probability that he will pick a jelly bean from the full box that has a flavor he does like? Show
and explain your work.

Answers

Answer:

24/60 does not like 36/60 does like

36/60 = .6 which is 60% chance

Step-by-step explanation:

The probability that Ryan will pick a jelly bean that has a flavor he likes is 0.7

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Formula of the probability of an event A is:

[tex]P(A)=\frac{n(A)}{n(S)}[/tex]

where, [tex]n(A)[/tex] is the number of favorable outcomes

is [tex]n(S)[/tex] the total number of events in the sample space.

From given data:

Ryan received a box of jelly beans with

Grape - 16

Licorice - 10

Cherry - 12

Lemon - 14

Lime - 8

So, there are total 16 + 10 + 12 + 14 + 8 = 60 jelly beans.

Ryan does not like licorice or lime.

⇒ 10 + 8 = 18 jelly beans he does not like.

This means, he likes 60 - 18 = 42 jelly beans.

Now, we find the probability of jelly beans that has a flavor he likes.

⇒ P = (number of grape, cherry, lemon jelly beans) / (total number of jelly beans)

⇒ [tex]P=\frac{42}{60}[/tex]

⇒ [tex]\bold{0.7}[/tex]

Therefore, the probability that Ryan will pick a jelly bean from the full box that has a flavor he does like is 0.7

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

What value of x is in the solution set of 8x – 6 > 12 + 2x?
(answer choices are -1, 0, 3, 5)

Answers

Answer:

[tex]Given:[/tex]

[tex]8x-6 > 12 + 2x[/tex]

[tex]8x-2x>12+6[/tex]

[tex]6x>18[/tex]

[tex]x>18/6[/tex]

[tex]x>3[/tex]

[tex]5>3[/tex]

[tex]ANSWER: D)\:5[/tex]

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

Hope it helps...

Have a great day!!

I will give brainliest if correct!!! Please show work so I know how to do it. :)
12. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(5/3).
A. 0.1518
B. 1.4649
C. 1.2138
D. 0.2625
E. 0.5341
F. 2.6252

Answers

Answer:

.2625

Step-by-step explanation:

logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271

logb(5/3)

We know that logx ( y/z) = logx (y) - logz (z)

logb ( 5) - logb(3)

0.8271 - 0.5646

.2625

Answer:

F. 2.6252

Step-by-step explanation:

0.8271 - 0.5646

Please help me Find PA.

Answers

PO is 5 by using Pythagorean theorems and it forming a 3,4,5 triangle so PA is PO + OA so it is 8

The bar chart gives information about the numbers of students in the 4 classes of year 11 in a school. There are 65 year 11 students in total. Work out what percentage of year 11 students are in class 11A?

Answers

Answer:

40%

Step-by-step explanation:

11A girls+boys / total number of students * 100

(14+12)/(65)*100

=26/65 * 100

=40%

help me thankyouuuuuuu

Answers

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⠀⠈⠛⠛⠛⠓⠒⠚⠛⠛⠛⠛⠛⠋⠙⠛⠛⠛⠛⠟⠿⠷⠶⠶⠾⠿⢿⠿⠿⠿ Don't mind me, just a feller out on the farm.

Answer:

210 * 1.1 = 231

48*1.1 = 52.8

Step-by-step explanation:

A chair which was produced at a cost of Rs 450 was sold at a profit of 22%. What was the profit?​

Answers

Answer:

RS 99

Step-by-step explanation:

%p = p/cp ×100

22 = p/450 × 100

22 = 100p/450

cross multiply

22 × 450 =100p

9900 = 100p

100p =9900

p = 9900/100

p = 99

Need help with this!!! 8 points!!!

Answers

Answer:

The answers is 369 and 577... good luck. ♥️♥️♥️

Complete this equations,( show your work).

* I re-wrote some of the questions below them so u can read ' em better. ty​

Answers

Answer:

21 is: [tex]\frac{4}{9}[/tex] x + [tex]\frac{31}{72}[/tex]

22 is: 4 [tex]\frac{39}{44}[/tex]

23 is:[tex]\frac{1}{4}[/tex] x + [tex]\frac{31}{72}[/tex]

24 is:  [tex]\frac{-2}{11}[/tex] x + [tex]\frac{7}{11}[/tex]

Step-by-step explanation: Hope this helps and good luck mark brainliest if u want :)

9 is subtracted from 5 times 3 and 10 is added

Answers

Answer:

-16

Step-by-step explanation:

9 - 5 x 3 + 10
9 - 15 + 10
9 - 25
-16
9-5 times 3= -6 +10=4

please help me on this, thank you

Answers

Answer:

the formula

Step-by-step explanation:

substitute the formula with the numbers give n-2 is number of sides -2 fyi

Sabina bought a samsung mobile set for rs.15750 after getting the discount of 10%. Find the price of mobile set before discount.​

Answers

Answer:

Step-by-step explanation:

90/100 * x = 15750

0.9 x = 15750

x = 15750/0.9

x = 17500

Now check this by taking 10% off. Do you get 15750?

Let's see

10/100 of 17500 = 1750

Subtract that from 17500

17500 - 1750 = 15750 which is exactly what you should get.

Karina solves the system using linear combination and arrives at the question 116y=96.28. She then solves this equation for y. Which statement explains karina's solution

Answers

Answer:

116y = 96.28

----      ---------

116        116

y = 0.83--------

Answer:

0.83-------

Step-by-step explanation:

which of the following equations have complex roots?

Answers

9514 1404 393

Answer:

  B.  3x² +2 = 0

Step-by-step explanation:

The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)

__

The equation of B can be rewritten as ...

  x² = -2/3

This will have complex roots.

__

The discriminants of both equations C and D are positive, so those have only real roots.

  2x² -5x -1   ⇒   d = (-5)² -4(2)(-1) = 33

  3x² -6x -1   ⇒   d = (-6)² -4(3)(-1) = 48

Find the value of x.

A. 99
B. 9
C. 90
D. 11
ILL GIVE BRAINLIEST

Answers

Answer:

B) 9

Step-by-step explanation:

Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:

5x - 9 + 6x = 90

11x - 9 = 90

11x = 90 + 9

11x = 99

x = 9

Answer:

B.9

Step-by-step explanation:

The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.

Given: -1/2 x > 6.

Choose the solution set.

A. {x | x R, x > -12}
B. {x | x R, x > -3}
C. {x | x R, x < -3}
D. {x | x R, x < -12}

Answers

SoLuTiOn彡

Given: -1/2 x > 6

Solving It:-

-1/2 x > 6

x > -6×2

x > -12

So The Correct Solution Set Will Be

A. {x | x R, x > -12}

Hope This Helps You

The square root of 0.25 is 0.5 which is a greater number. Give another number whose square root is larger than the number and explain why.

Answers

Answer:

Another example of a number who's square root is greater than the number is  [tex]\sqrt{0.49}[/tex] which is 0.7

Step-by-step explanation:

This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.

What is the simplest version of 9/16×4/18​

Answers

Answer:

1/8

Step-by-step explanation:

9/16 * 4/18

Rewriting

9/18 * 4/16

9/18 = 1/2   and 4/16 = 1/4

1/2 * 1/4

1/8

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{9}{16}[/tex] x [tex]\frac{4}{18}[/tex] = [tex]\frac{(9)(4)}{(16)(18)}[/tex]

[tex]\frac{(9)}{(18)}[/tex] = [tex]\frac{1}{2}[/tex]

[tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{(1)(1)}{(2)(4)}[/tex] = [tex]\frac{1}{8}[/tex]

Find the area to the left of z = 0.25.
A. 0.6012 B. 0.5987 C. 0.4013 D.0.3988

Answers

Answer:

.5987

Step-by-step explanation:

Use a ztable and find .25 (pic below)

15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.

Answers

Answer:

D

Step-by-step explanation:

[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]

Find the discernment and the numbers of the number of real roots for this equation.
x^2+3x+8=0

Answers

Answer:  2 distinct complex solutions (ie non real solutions).

Work Shown:

The given equation is in the form ax^2+bx+c = 0, so

a = 1, b = 3, c = 8

Plug those into the formula below to find the discriminant

D = b^2 - 4ac

D = 3^2 - 4(1)(8)

D = -23

The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.

Answer:

Discriminant: -23

Number of real roots: 0

Step-by-step explanation:

For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].

In [tex]x^2+3x+8[/tex], assign:

[tex]a\implies 1[/tex] [tex]b\implies 3[/tex] [tex]c\implies 8[/tex]  

The discriminant is therefore:

[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]

For any quadratic:

If the discriminant is greater than 0, the quadratic has two real rootsIf the discriminant is equal to 0, the quadratic has one real rootIf the discriminant is less than 0, the quadratic as no real roots

Since the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.

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