simplify the complex rational expression

Simplify The Complex Rational Expression

Answers

Answer 1

Answer:

[tex]2(x+2)/x+1[/tex]

Step-by-step explanation:

Answer 2

Answer:

2( x +2 )

x+1

Step-by-step explanation:

to add or subtract expressions expand them to make their denominators the same, multiply 1 time [tex]\frac{x-2}{x-2}[/tex]

since [tex]\frac{x}{x-2}[/tex] and [tex]\frac{x-2}{x-2}[/tex] have the same denominators add them by adding their numerators

combine x + x -2

factor [tex]x^{2}[/tex] - 4

to add or subtract expressions expand them and multiply by 1

have same denominator add them by adding their numerators

do the multiplications in 3 + ( x-2 )(x+2)

combine like terms in 3 + [tex]x^{2}[/tex] + 2x - 2x -4

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

cancel out x-2 in both numerator and denominator

factor the expression that are not already factored

cancel out x-1  in both numerator and denominator

expand the expression


Related Questions

If 12x – 20 =
10x + 20 what is the value of 3x ?

Answers

Answer: 3x=60

Step-by-step explanation:

12x-20=10x+20

X=20

3(20)= 60

Which is not a reactant needed for producing food in a green plant?
A. Carbon Dioxide
B. Oxygen
C. Water

Answers

Answer:

B. Oxygen

Hope you got your answer! ☺️

The reactant not needed for producing food in a green plant is

Oxygen.

Option B is the correct answer.

What are reactants?

Reactants are the elements in a process of production that helps in the process of production.

We have,

The process of producing food in a green plant are:

Plants take carbon dioxide, water, and sunlight from their surroundings to make their own food.

This process is called photosynthesis.

Oxygen is the waste product released during this process.

Thus,

Oxygen is not a reactant needed for producing food in a green plant.

Learn more about reactants in plants here:

https://brainly.com/question/16419464

#SPJ6

A fair 10 sided die rolled until a 7 is first seen. What is the probability of rolling the die six times?

Answers

Answer:

The probability of rolling a dice six time until a 7 is first seen is 0.059

Step-by-step explanation:

The probability of getting a seven is equal to [tex]\frac{1}{10}[/tex]

The dice need to be rolled only six times.

This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7

Hence the probability of rolling a dice six time until a 7 is first seen is

[tex](\frac{9}{10})^5 * (\frac{1}{10})^1[/tex]

[tex]= \frac{9^5}{10^6} \\= 5.90[/tex] % or 0.059

Find the solution set of the inequality
- 4x +35> 2−4x+35>2minus, 4, x, plus, 35, is greater than, 2
xxx

Answers

Answer:

[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

-4x + 35 >2

[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]

Hence the solution set is x ( 33/4 , ).

Answer:

Step-by-step explanation:

5

HELPPP IT'S DUE IN 30 MINUTES I"LL MARK YOU THE BRAINLIEST!!!

You are a wedding planner who is filling small pouches with biodegradable confetti for a wedding reception. You want to fill each pouch with of a cup of confetti, and you have a total of 210 fluid ounces of confetti. You need enough pouches for 120 guests.

Which equation can you use to determine whether you have enough pouches for 120 guests?

number of pouches = 210 +
number of pouches = 210 –
number of pouches = 210 × 8 ×
number of pouches = 210 ÷ 8 ×
number of pouches = 210 ÷ 8 ÷

Answers

Answer:

you have 26 cups so i think its the 4th one or the 5th one

Step-by-step explanation:

Hope this helps!

pls help ......................

Answers

Answer:

the answer will be

50

Step-by-step explanation:

5 x 10= 50

(6b+9)–(6b+5)

.

.

.

.

.

.

.

.

Answers

Answer:

4

Step-by-step explanation:

distribute the negative to remove the parenthesis
6b+9-6b-5
combine like terms
6b-6b=0
9-5=4
0+4=4

answer: 4

solve using inverse operations:83 + q = 125; q=​

Answers

Answer:

42

Step-by-step explanation:

subtract 83 from both sides geet q=42

A biologist estimates that the human body contains 90 pounds of water for every 100 pounds of body weight. At the rate estimate the number of pounds of water in a child who weighs 80 pounds

Answers

Answer:

72 lb

Step-by-step explanation:

Write and solve an equation of ratios:

80 pounds             x

----------------- = ------------------

100 pounds      90 pounds

Cross multiplying, we get (100 pounds)x = 7200, or x = 72 pounds.

The 80 pound child's weight includes 72 pounds of water.

Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10​

Answers

Y= 4
Bottom one is 5 divided by 2

(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT

Answers

Answer:

HN congruent to NL

Step-by-step explanation:

They have a line crossing both of them, signifiying congruence.

Which equation has the same solution as x^2+10x+9 = 4

Answers

To factor you must play with factors which multiply to
9

(
1
×
9
,

3
×
3
,

9
×
1
)
(
x

9
)
(
x

1
)
=
0
Now, solve each factor for
0
:
x

9
=
0
x

9
+
9
=
0
+
9
x

0
=
9
x
=
9
and
x

1
=
0
x

1
+
1
=
0
+
1
x

0
=
1
x
=
1

PLZ PLZ PLZ ANSWER THIS!!!!

Answers

Answer:

a.

Step-by-step explanation:

girls 60/50

boys 40/50

40/50 is 10

6 and -6 are at the same distance from ____ on the number line.

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(NegativeA) + (PositiveA) = 0

Note for future reference:

(NegativeA) + (PositiveB) = (NegativeC)

(PositiveA) + (NegativeB) = (NegativeC)

(NegativeA) + (NegativeB) = (NegativeC)

(PositiveA) + (PositiveB) = (PositiveC)

Hope this helps!

three decimal numbers that when rounded to the nearest hundredths place will round to the number 6.75.

Answers

Answer:

6.7491, 6.7524, 6.7463

Step-by-step explanation:

Point A is located at (-1.4). Point B is located at (3,2). What is the slope of the line that passes through these two points (Make sure your slope is
reduced, if possible)?
6

Answers

Answer:

Y = -1/2x + 7/2

Step-by-step explanation:

slope = -1/2

Triangular prism please help

Answers

Answer:

 C

Step-by-step explanation:

Write down the inequality described by five is greater than the result of taking six away from x", and solve for x.

Answers

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11


X, Y and Z are partners in a firm in the ratio of 1/2 :1/3:1/6
Y retires from business and
X and Z purchase his share of profit in the ratio of 3:2. Find out new ratio ​

Answers

Answer:

6:2

Step-by-step explanation:

X share from old ratio is 1/2

Y share from old ratio is 1/3

Z share from old ratio is 1/6

Now, we are told Y retires and that X and Z purchase his shares.

Thus;

Amount X took from Y = 1/2 × 1/3 = 1/6

Amount Z took from Y = 1/6 × 1/3 = 1/18

Thus, new share of X is now; 1/6 + 1/2 = 2/3

New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9

Ratio is now X:Z = 2/3 : 2/9 = 6:2

simple math true and false. not that hard. 11th grade math though

Answers

Answer:

True

Step-by-step explanation:

If my eyes don’t fail me, it‘s true.

Sorry in advance if it’s wrong :<

Answer: True

Step-by-step explanation:

Find the measure of the indicated angle

Answers

Answer:

36°

Step-by-step explanation:

(6x)° + 54° = 90°

(complementary angles)

(6x)° = 90°- 54°

(6x)° = 36°

1. How many groups of days are in 1 week?
Write a division equation to represent the question.
Type your equations in the box below.

Answers

Answer:

(14 groups)

14 divided by 7 = 2

Therefore 14 is your answer

Step-by-step explanation:

lol that's all I got

Solve the equation: 12(x + 8) = 11x - 5 What is the solution?

Answers

Answer:

We conclude that the solution is:

[tex]x = -101[/tex]

Step-by-step explanation:

Given the equation

[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]

Expand 12(x + 8):  12x + 96

[tex]12x+96=11x-5[/tex]

Subtract 96 from both sides

[tex]12x+96-96=11x-5-96[/tex]

Simplify

[tex]12x=11x-101[/tex]

Subtract 11x from both sides

[tex]12x-11x=11x-101-11x[/tex]

Simplify

[tex]x=-101[/tex]

Therefore, we conclude that the solution is:

[tex]x = -101[/tex]

Graph f(x)=4x^3-4x-2

Answers

Answer:

minimum: ([tex]\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2[/tex])

maximum: (-[tex]\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2[/tex])

vertical intercept: (0 , -2)

Step-by-step explanation:

solve the following equation

3(y – 2) + 2y = 9

Answers

Answer:

3( y - 2) + 2y =9

Step-by-step explanation:

It equals 3.

Answer:

y=3

Step-by-step explanation:

3(y-2)+2y=9

3y-6+2y=9

Isolate the variable y by transposing

3y+2y=6+9

5y=15

Simplify

y=3

7 more than twice z ..............................................................

Answers

Answer:

2z+7

Step-by-step explanation:

2*z+7

2z+7



Find the Surface Area of the following figure:
16 ft
10 ft
7 ft

Answers

Answer:

1120

Step-by-step explanation:

WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL 3 AND GETS THE RIGHT! PLEASE HELP

Answers

Answer:

4. 21

5. 45

6. 22

Step-by-step explanation:

4. 6 + (2^4) - 1

   6 + (16) - 1

   22 - 1 = 21

5. (4 * 3²) + (18 - 9)

   (4 × 9) + (9)

   (36) + (9) = 45

6. 16 + (5² - 7) ÷ 3

PEMDAS tells us to do what's in Parentheses first

16 + ( 25 - 7) ÷ 3

16 + (18/3)

16 + 6 = 22

Please help! I need an explanation also because I am currently having trouble

Answers

Answer:

E = 80 degrees

Step-by-step explanation:

7x + 3 + x + 15 + 74degrees = 180

8x + 92 = 180

8x = 180 - 92

8x = 88

x=11

m<E = 7x + 3

7(11) + 3

77 + 3

= 80

Alina can blow 48 balloons in 16 minutes. What is the unit rate of blowing per minute?

Answers

Answer:

3 balloon

Step-by-step explanation:

48 divide by 16

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