Subtract the rational expression 1/x^2-x-6 - x/x+2.

Answers

Answer 1

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

[tex]\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\[/tex]

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


Related Questions

William has $7.50 to spend at the pretzel shop. A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p Which inequality can be used to find the number of pretzels William can buy?

Answers

Complete Question

William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?

a) 1.25p−0.9≤7.5

b) 1.25p+0.9≤7.5

c) 1.25p+0.9≥7.5

d) 1.25+0.9p≤7.5

Answer:

b) 1.25p+0.9≤7.5

Step-by-step explanation:

William has $7.50 to spend at the pretzel shop.

This means Williams can spend at least $7.50

A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and ?pretzel

Therefore, the inequality can be used to find the number of pretzels William can buy is written as

1.25p+0.9≤7.5

Option b is the correct option

an isosceles right triangle has an area 8 cm square find the length of its hypotenuse​
please answer me fast

Answers

Answer:

5.9

Step-by-step explanation:

Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is

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

where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use

[tex] {4}^{2} + {4}^{2} = {c}^{2} [/tex]

which simplify to

[tex]16 + 16 = {c}^{2} [/tex]

[tex]32 = {c}^{2} [/tex]

[tex] \sqrt{32} [/tex]

which is about 5.9

Answer B for me please!!! I need help. What assumption would you need to make to make about the diagram in order to assume that the measure of angle 1 is congruent to the measure of angle 3?

Answers

I believe its because they are corresponding angles

Pls answer I need help majorly, don't answer if you don't know and if you want points tell me in the COMMENTS and I'll make a thing just for u!!!♥️ Thanks, luv u!!

Answers

Answer:

30

Step-by-step explanation:

I am serious because they are the same angle. Can someone help me with my question plz

Without using a calculator, determine whether 1 728 is a perfect square, a perfect cube, or
neither

Answers

Answer:

it's a perfect cube only....

The circumference of a circle is 14\piπ in. Find its diameter, in inches.

Answers

Answer:

4.46 will be the diameter

The formula for circumference is diameter x pi

Since the circumference is given in terms of pi, the diameter is the number given.

Diameter = 14 inches.

Write an equation, slope of -7 y-intercept of 5

Answers

y=-7x+5

(y=mx+b)
m- slope
b- y-intercept

What is the measure of angle C?

Answers

Answer:

48

Step-by-step explanation:

57 + 27 = 84

180 - 84 = 96

96 ÷ 2 = 48

how do i evaluate f(x)=-3x^2-5x+8​

Answers

Answer: f(x)= -3x 2 -5x +8

Step-by-step explanation:

Please help me! The problem ask you to identify the slope and the y-intercept of the line. And it ask to write the equation in slope intercept form

Answers

The y-intercept is 1

what is y=4/5x+2 in standard form​

Answers

Answer:

4x-5y=-10

Step-by-step explanation:

The standard form of a linear equation is Ax+By=CAx+By=C.

Multiply both sides by 55.

5y=5(45x+2)5y=5(45x+2)

Simplify 5(45x+2)5(45x+2).

Tap for more steps...

5y=4x+105y=4x+10

Rewrite the equation with the sides flipped.

4x+10=5y4x+10=5y

Move all terms containing variables to the left side of the equation.

4x−5y+10=04x-5y+10=0

Subtract 1010 from both sides of the equation.

4x−5y=−104x-5y=-10

(4, -3); slope = -1
Write in slope intercept form

Answers

Answer:

y=  -x+1

Step-by-step explanation:

y=mx+b

-1(4)+b=-3

-4+b=-3

b=1

y= -x+1

If a number is a multiple of 2 and a multiple of 5, then it is also a multiple of ___. (fill in the blank)

Answers

10 is the answer for the blank

Which property is demonstrated in the equation (4 x 7) x 10 = 4% (7 x 10) ? a. Symmetric b. Distributive c. Associative d. Commutative​

Answers

Answer:

associative prop. of multiplication

Step-by-step explanation:

help. Its on khan acadmy I dont know how to solve

Answers

Answer:

13

Step-by-step explanation:

The coeficcent of a term xa where a is the variable is x. Thus 13a results in 13 as the coeficcent

Answer:

Step-by-step explanation:

The coefficient is the constant multiple of a which is 13.

HELP What is one advertisment related to the outsiders?​

Answers

Step-by-step explanation:

Hinton's editor, Velma Varner, advocates new names for both author and ..

Gym a charges $25 per month plus a $60 initiation fee. Gym b charges $30 per month and no initiation fee. Find the number of months it will take for the total cost for both gyms to be equal

Answers

Answer:

12 months

Step-by-step explanation:

Given data

Gym A

charges $25 per month plus a $60 initiation fee

let the number of months be x

and the total charges be y

y= 60+25x---------------1

Gym B

charges $30 per month and no initiation fee

let the number of months be x

and the total charges be y

y=30x---------------2

Equate 1 and 2 above to find x

60+25x= 30x

collect like terms

60= 30x-25x

60= 5x

divide both sides by 5

x= 60/5

x= 12

Hence it will take 12 months

1. 3( x + 4y - 2) =
2. 6( 2a - 5)=

Answers

Answer:

I love algebra anyways

the ans is in the picture with the steps

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Solve the equation

x-4=-x+2

Answers

Answer:x=3

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

Given

x-4=-x+2

Add x on both sides

x-4+x=-x+2+x

2x-4=2

Add 4 on both sides

2x-4+4=2+4

2x=6

Divide 2 on both sides

2x/2=6/2

x=3

Hope this helps!! :)

Please let me know if you have any questions

Bella goes to the store and spends 10 dollars . she spends all her money buying 0.25 candy.How much candy does she buy?

Answers

Answer:

40 candies

Step-by-step explanation:

0.25 x 4= 1.00

0.25 x 40= 10.00

What is the percent equation for 46% of 127?

Answers

Answer:

46% of 127 is 58.42

Step-by-step explanation:

46/100 = x/127

Cross multiply

46 × 127 = 100 × x

5,842 = 100x

Divide both sides by 100

58.42 = x

Please help me and show your work please

Answers

Answer:

12. Not Linear

14. Linear

16. Linear

18. Not Linear

Step-by-step explanation:

the ratio of the perimeter of square RSTU to the perimeter of square WXYZ is 1 to 3. The area of square RSTU is 36 square inches. what is the area of square WXYZ? (show work)[tex]show work please[/tex]

Answers

Answer:

no quema cuh

Step-by-step explanation:

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

X= 14x

Step-by-step explanation:

Answer:

x=12°

Step-by-step explanation:

(10x-20°)+(6x+8°)=180°

16x-12°=180°

16x=192°

x=192°/16°

x=12°

The linear equation that represents the values shown in the table below is y= x+

Answers

Answer:

ifgc

jhpn9fl k k k  k k k k k k k k k kk k k k k k k k

Direction: Match the exponential notation in Column A to its
equivalent in column B.
Column A
Column B
1.3.
2.54
3.82
• B. 243
C. 512
4.94
. D. 625
5.2.
E. 1.024​

Answers

Answer:

446565688987888888 ti ifyx

A lumberjack found 280 trees on a 1.5-acre plot ready for harvest. On the west side, he found 260 trees on a 1.9-acre plot. Which plot has a greater rate of harvest-ready trees per acre?

Answers

Answer:

280 trees on a 1.5 acre plot

Step-by-step explanation:

It has more trees with less acres already without any calculations.

please help me on this question i’ll give brainliest!!

Answers

Theeeeee answer is 27.
27, cuz 111/4 and you get 27.75 so 27 complete ones

ANSWER ASAP/GIVING HIGH RATING DUE SOON,PLS JUST ANSWER I HAVE AKOT OF WORK DUE IN 10 MINS​

Answers

He would save $1 switching

HELP! Carla drew a picture that was 7/10 of an inch long. Her picture was 0.67 inches wide.
Which is greater, the length or width?
0.67 or 7/10

Answers

Answer:

Length

Step-by-step explanation:

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