Can someone solve these rational expressions showing work thanks

Can Someone Solve These Rational Expressions Showing Work Thanks

Answers

Answer 1

Answer:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}=\frac{1}{2+x}[/tex]

Step-by-step explanation:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{x-5+2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-5+2=-3[/tex]

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

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x-3[/tex]

[tex]=\frac{1}{2+x}[/tex]


Related Questions

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet. A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for Pi. 172.70 ft2 178.98 ft2 200.96 ft2 379.94 ft2

Answers

Answer:

178.98 ft2

Step-by-step explanation:

The approximate area of the path is 179 ft².

Area of the smaller circle

The area of the smaller circle is calculated as follows;

A₁ = πr₁²

Where;

r₁ is the radius of the smaller circle = 8 ft

A₁ = π x 8²

A₁ = 201.088 ft²

Area of the bigger circle

A = πr₂²

Where;

r₂ is the radius of the bigger circle = 8 + 3 = 11 ft

A₂ = π x (11)²

A₂ = 380.18 ft²

Area of the path

A = A₂  - A₁

A = 380.182 ft²  -  201.088 ft²

A = 179.094 ft²

Thus, the approximate area of the path is 179 ft².

Learn more about area of circle here: https://brainly.com/question/12269818

I need help with this!

Answers

Answers:

FalseTrueTrueFalseTrueFalse

===============================================

Explanations:

If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false. This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.This is false. Any repeating decimal can be converted to a fraction through a bit of work. It turns out that 17.979797... = 1780/99 which makes the value to be rational.Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.This statement is false because we found true statements earlier.

The product of two consecutive even numbers is 224. What are these two numbers?

Answers

Answer:

14 and 16

Step-by-step explanation:

They are the ONLY  consecutive even numbers

And also

x and (x+2)

x(x+2)=224 ( product of a number and the consecutive of that number)

x ²+  2x-224=0

(x+16)(x-14) =0

x=-16 or 14

In this case 14 and (14+2)    14 and 16

 

 

The  integers are either 14 and 16 or -14 and -16.

please help



will mark brainlist

Answers

its b

Step-by-step explanation:

all the others don't work

Answer:

yea, I think its the second one

Todd is walking dogs to earn money. He is trying to earn $15.00 . If he is paid 2.50 per dog , how many dogs will todd have to walk?

Answers

Answer: 6 dogs

Step-by-step explanation:

Just multiply 2.50 times something

So 2.50 x 6= 15

So the answer is 6 dogs Todd has to walk 6 dogs in oder to earn 15.00

Jak mam uzbierać szybko na nowego Samsunga Galaxy s21+ bo potrzebuje jeszcze 2 900zł Pls szybko daje naj

Answers

Answer:

yesss queeen

Step-by-step explanation:

Aside from playing scrabble, what ither indoor recreational activities would you intiate in your family/community despite tha pandemic?​

Answers

Sungka. Playing sungka is fun

A store pays$76.40 for a bookcase and marks the price up by 45%.What is the new price?

Answers

Answer:

$110.78

Step-by-step explanation:

$76.40 × 45%

$34.38

$76.40 + $34.38

$110.78

can someone help me

Answers

Divide by 4 on each side of the equation. The answer is 6 :)

A circular plate has circumference 30.8 inches. What is the area of this plate? Use 3.14 for t.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)

Answers

Answer: 745 (about)

Step-by-step explanation:

A=πr2

A =π (15.4)^2

A=π (237.16)

A= 745.06

A= 745 (with rounding)

Answer:

The area of the plate is about 76 square inches

Step-by-step explanation:

i had this on a test ... and i got this question right if your problem is worded the same way then the answer is 76 :)

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 25
and DC 25, what is the length of BD?

Answers

Answer:

25

Step-by-step explanation:

The required value of altitude BD is 25 units, which is determined by the geometric theorem.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

As we know that the geometric theorem states that h = √(ab),

where h is the altitude of a right triangle, a and b are the segments formed when the altitude divides the hypotenuse of a right triangle.

We have to determine the value of altitude y

As per the given figure, a = 25, and b = 25

Substitute the values  in the formula, and we get

x = √(25 × 25)

x = √625

x = 25

Therefore, the measure of BD = 25.

Learn more about the right triangle here:

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The diameter of a circle is 19 m. What is the circumference of the circle? Use 3.14 for pi.

Answers

Answer:

D) 59.66 m

Step-by-step explanation:

circumference = 19π = 59.66 m

An onion soup recipe calls for 3 2/3 cups of chopped onions. Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. Katrina still needs to chop cups of onion soup recipe calls for 3 2/3 cups of chopped onions. Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. Katrina still needs to chop cups of onions

Answers

Answer:

[tex]2\dfrac{1}{3}\ \text{cups}[/tex]

Step-by-step explanation:

Amount of chopped onions required = [tex]3\dfrac{2}{3}\ \text{cups}[/tex]

Amount of onions Katrina has already chopped = [tex]1\dfrac{1}{3}\ \text{cups}[/tex]

Amount of onions that are required to be chopped is given by

[tex]3\dfrac{2}{3}-1\dfrac{1}{3}\\ =\dfrac{11}{3}-\dfrac{4}{3}\\ =\dfrac{7}{3}\\ =2\dfrac{1}{3}\ \text{cups}[/tex]

Hence, the amount of onions that are required to be chopped is [tex]2\dfrac{1}{3}\ \text{cups}[/tex].

helpppppppp plsssssssssssssssssssssssssssss

Answers

I think it would be “Literal”.

Find the radius of each circle using 3.14
or 22/7 for pi. Round to the nearest tenth if
necessary.
Circumference=12.6 yd

Answers

Answer: 2.01

Step-by-step explanation: Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

Water is being drained from a swimming pool containing 12,000 gallons of water. After
one hour passes, 60% of the water remains. At the start of the fifth hour, how many
gallons of water remain? Round your final answer to the nearest gallon.
933 gallons
560 gallons
1.555 gallons
2,592 gallons

Answers

560 callate your head

5 yards feet= _______ Feet

Answers

Answer:

15ft.

Step-by-step explanation:

There is 3ft in a yard, so all you need to do is multiply 5 by 3 to get your answer, 15.

Which equation represents exponential decay?
a) y=0.5x3
b) y=0.5x2 - x
c) y=0.5(1.07) dy=0.5(0.87)*

Answers

Im pretty sure is B if I’m wrong sorry

Find the value of x when
2x =100.​

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's solve your equation step-by-step.

2 ( x ) = 100

Step 1: Divide both sides by 2.

2 x / 2 = 100 / 2

x = 50

Answer:

x = 50

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

In a sequence of numbers, a4=9, a5=13, a6=17, a7=21, and a8=25.

Which equation can be used to find the nth term of the sequence, an?


an=9n+4

an=4n+9

an=7n−4

an=4n−7

Answers

Answer:

an=4n−7

Step-by-step explanation:

Just took the test hope this helps

During a basketball game, Bari scored 28 points. During the game, Danay scored ¼ of the number of points Bari scored. How many points did Denay score during the basketball game?

Answers

Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .

Resposta: Denay marcou 7 pontos durante o jogo.

rewrite algebraic expression for 3(y+10)​

Answers

I think that the answer is 3Y+30. I hope this helps!!! :)

The radius of a circle is 1 m. Find the circumference to the nearest tenth.

Answers

Answer:

sorry :( I need points :((((((

Answer:

6.2

Step-by-step explanation:

You have some trading cards. You give 21 cards to a friend and have 9 left for yourself.
How many cards were in your original deck?

Answers

Answer:

30

Step-by-step explanation:

21 + 9 = 30

Find the volume of the composite solid. Round your answer to the nearest tenth.
BRAINLEST if right and done in under 10 minutes

Answers

Answer:

Volume = 1206.87 ft³

Step-by-step explanation:

Cone dimensionsheight = 6ftdiameter = 16ftRadius = 8ft ( diameter = 2×radius)Volume = 1/3×π×radius²×heightVolume = 1/3×22/7×8*8×6Volume = 402.29 ft³

Cylinder dimensionsheight = 4ftRadius = 8ft (same as cone)volume = π× radius² × heightvolume = 22/7 × 8*8 ×4Volume = 804.58 ft³

Total Volume = 402.29 + 804.58Total Volume = 1206.87 ft³

I'd rather be listening to music than this du.mb stuffff

Answers

I don't know the answer but same

Sorry ✨

HELP ASAP HURRY HURRY

Answers

GIRL UHH TRY USING SOCRATIC HOLD ON

Answer:

reflection across x=1 if I'm wrong sorry I cant see the screen well

A jar contains 8 red counters and 21 blue counters. A counter is taken at random from the jar. what is the probity that it is.
A. red
B. blue
C. green

Answers

A. 8/29
B. 21/29
C. 0/29

Since there are no green counters, the probability of selecting a green counter is always 0 in this context.

Given that the jar contains 8 red counters and 21 blue counters, we can determine the probabilities of selecting each color.

Total number of counters in the jar = 8 (red) + 21 (blue) = 29

(a) The probability of selecting a red counter:

Number of red counters / Total number of counters = 8 / 29

(b) The probability of selecting a blue counter:

Number of blue counters / Total number of counters = 21 / 29

(c) The probability of selecting a green counter:

There are no green counters in the jar, so the probability of selecting a green counter is 0.

Therefore, the probabilities are as follows:

A. The probability of selecting a red counter is 8/29.

B. The probability of selecting a blue counter is 21/29.

C. The probability of selecting a green counter is 0.

Please note that since there are no green counters, the probability of selecting a green counter is always 0 in this context.

To know more about  "probability."  here

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Michael owns a small business selling clothing. He knows that in the last week 39 customers paid cash, 30 customers used a debit card, and 2 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.

Answers

Answer:

0.03

Step-by-step explanation:

!

Help me with these questions​

Answers

Answer:

A is the correct Answer

Step-by-step explanation:

hope that helps

Answer:

igual es lo mismo

Step-by-step explanation:

hope that help

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