Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{\frac{5x}{x^{2} -4} }{\frac{8x}{x+2} }[/tex]

Answers

Answer 1

Answer:

[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]

Step-by-step explanation:

Answer 2

Step-by-step explanation:

[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]

hope it helps:)


Related Questions

Sam bought an $85.00 jacket for 40% off of the regular price. He also has to pay 5% for tax. How much did he pay for the jacket after the discount and tax?

Answers

55.25. You multiply 0.40 by 85 and you’ll get 34, subtract 85 by 34 and you’ll get 51. Then you multiply 0.05 by 85 and get 4.25. Add 4.25 by 51 and you’ll get 55.25.

please help asap will give brainliest

Answers

Answer:

of course three units ..

You have 2/4 of a pizza and you want to share it equally between 2
people. How much of the pizza does each person get?

Answers

Answer:

1/4

Step-by-step explanation:

2/4 divided by 2 equals 1/4.

Answer:

HonEy me dont no no anything PERIODT

Step-by-step explanation:

The average woman's height is 65 inches with a standard deviation of 3.5 inches.

a.) Determine the z-score of a woman who is 70 inches tall. Round to the nearest tenth.


b.) Use a z-score table to determine how many women out of 10,000 would be taller than the 70 inch tall woman.

Answers

Answer:

Part a:

p(z=1.43) find 1.43 in z table that'll be the answer for part a

solve -8x greater than or equal to
2

Answers

Answer:

[tex]x \leq -\frac{1}{4}[/tex]

Step-by-step explanation:

Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]  

I hope this helps!

Subtract the following polynomials, then place the answer in the proper location on the grid.
2x^2+5x-10
3x2 - x + 9

Answers

Answer:

[tex]-x^2+6x-19[/tex]

Step-by-step explanation:

Step one:

given

[tex]2x^2+5x-10\\\\3x^2 - x + 9[/tex]

we want to perform a subtraction operation

[tex]2x^2+5x-10-(3x^2 - x + 9)\\\\ 2x^2+5x-10-3x^2 + x - 9 \\\\[/tex]

collect like terms

[tex]2x^2-3x^2+5x+x-10-9\\\\-x^2+6x-19[/tex]

Solve the question above please <3

Answers

Answer is D, sorry if I am wrong

-3 < x -10 Solve for X and simplify please

Answers

Hey there!

“-3 < x - 10”

SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!

-3 = x - 10

Flip the equation around

x - 10 = -3

ADD both of your sides by 10

Like: x - 10 + 10 = -3 + 10

CANCEL out: -10 + 10 because it gives us 0

Keep: -3 + 10 because it gives us the value of x

-3 + 10 = x

Solve that above and you have your answer: x = 7 ☑️

Overall answer: x < 7

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Based on the graph below, what is f(2)?

0

1

2

-2

Answers

Answer:

the answer is 2 or c good luck

Answer:

C. 2

Step-by-step explanation:

Tessa returned a book to the library 16 days
late. If she was charged $0.35 per day,
what was the total fine?

Answers

Answer:

5.60

Step-by-step explanation:

Answer: $5.60

Step-by-step explanation:

Given:

Tessa did not return her book for 16 daysThe fee per day was $0.35

We must find:

The total cost after 16 days

Let t = total cost.

We will multiply 0.35 by 16 to get the answer.

t = 5.60

105 is divisible by what 2 5 10

Answers

By 5 your welcome check it before submitting tho

What type of number is 18.62

Answers

Answer:

terminating decimal

Step-by-step explanation:

doesn't repeat


A drone costs $300 plus $25 for each set of extra propellers. What is the cost of a drone and 4 extra sets of
propellers? (a) Write a function that will showthe cost.
300 + 4(25) = 400
(b) What is the independent variable in this situation?
are

Answers

a) 300+25x or 300+25(4)=400
b) 300 would be the unchanged or control variable, 25x would be the independent variable and 400 would be the dependent variable.

G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. Find BG.

Answers

Answer:

[tex] BG = 38 [/tex]

Step-by-step explanation:

Based on centroid theorem of triangles:

[tex] BG = \frac{2}{3} \times BF [/tex]

[tex] BF = 57 [/tex]

Plug in the value into the equation

[tex] BG = \frac{2}{3} \times 57 [/tex]

[tex] BG = \frac{2 \times 57}{3} [/tex]

[tex] BG = \frac{114}{3} [/tex]

[tex] BG = 38 [/tex]

HELP ME PLEASE I WILL PUT U AS BRILLIANT

Answers

Answer:

2 and 1/4

Step-by-step explanation:

3.5 - 1.25 = 2.25

2.25 as a mixed number is 2 and 1/4

What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31

Answers

Answer:

D. 31

Step-by-step explanation:

Given:

[tex] f(x) = 4x^3 - 10 [/tex]

[tex] g(x) = \frac{3x - 4}{2} [/tex]

Required:

The value of g(f(2))

First, find f(2).

Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].

[tex] f(2) = 4(2)^3 - 10 [/tex]

[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]

[tex] f(2) = 22 [/tex]

Next, find g(f(2)).

[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]

[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]

[tex] g(f(x)) = \frac{62}{2} [/tex]

[tex] g(f(x)) = \frac{62}{2} [/tex]

[tex] g(f(x)) = 31 [/tex]

What polygons have at least 4 sides?

Answers

Answer:

rectangles, squares, diamonds, rhombuses, and trapezoids

Step-by-step explanation:

Your Welcome

Answer:  quadralaterals, pentagons, hexagons, heptagons, occtagons, nonagons, decagons, hendecagon, dodecagon, and so on.

Step-by-step explanation:

To determine the number of trout in a​ lake, a conservationist catches 94 ​trout, tags them and throws them back into the lake.​ Later, 30 trout are​ caught; 10 of them are tagged. How many trout would the conservationist expect to be in the​ lake?

Answers

Answer:

She would expect to find about 282 fish in the lake.

Step-by-step explanation:

Simplify and answer the boxes.

Answers

Answer:

[tex]\huge\boxed{\dfrac{x^2+9^2}{x-3y}+\dfrac{6xy}{3y-x}=x-3y}[/tex]

Step-by-step explanation:

Domain:

[tex]x-3y\neq0\Rightarrow x\neq3y[/tex]

[tex]\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{3y-x}=\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{-(x-3y)}\\\\=\dfrac{x^2+9y^2}{x-3y}-\dfrac{6xy}{x-3y}=\dfrac{x^2+9y^2-6xy}{x-3y}\\\\=\dfrac{x^2-2(x)(3y)+(3y)^2}{3y-x}=\dfrac{(x-3y)^2}{3y-x}\\\\=\dfrac{\bigg[-1(3y-x)\bigg]^2}{3y-x}=\dfrac{(-1)^2(3y-x)^2}{3y-x}\\\\=\dfrac{1(x-3y)(x-3y)}{x-3y}=x-3y[/tex]

Used:

The distributive property: a(b + c) = ab + ac

(a - b)² = a² - 2ab + b²

Write (p^2)^3 without exponents

Answers

Answer:

p^6

Step-by-step explanation:

We are using rule power to a power. x^2^3 = x^(2*3)

p^6

Hope this helps plz hit the crown :D

.................................

Answers

Answer:

0

Step-by-step explanation:

Given:

(-3, 2)

(4, 2)

Required:

Slope that passes through the two points given.

Solution:

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (-3, 2) = (x_1, y_1) [/tex]

[tex] (4, 2) = (x_2, y_2) [/tex]

Plug in the values into the formula

Slope = [tex] \frac{2 - 2}{4 -(-3)} [/tex]

[tex] = \frac{0}{7} [/tex]

[tex] slope = 0 [/tex]

Kevin ran 5 miles in 42 minutes. How many miles per hour did Kevin run? Round to the nearest tenth.

Answers

kevin ran 8 miles rounded to the nearest tenth

he ran a mile in 8.4 minutes. Step-by-step explanation:

Name the function family that each equation best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)

a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic

Answers

Answer:

you dont have 7 to 11

Step-by-step explanation:

13.a

15.a

12.i

14.h

10 times as much as 72.67

Answers

Answer:

726.7 hope this helps

86.04005 is written in words as

Answers

Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths

Step-by-step explanation:

the place value answer is a little confusing but its correct i believe

Write an equation for each line (L,P ,N,M)

Answers

Answer:

LP = NM

Step-by-step explanation:

Answer:

Please post the graph with the line!

Solve the system of equations. (1 point) 5x + y = 9 3x + 2y = 4

Answers

X=2
Explanation:
-2(5x+y=9)=-10x-2y=-18
+3x+2y=4
Mark out the -2y and 2y and add the rest of the equation together
-7x=-14
divide -7 by both sides
X=2

Best and Correct answer gets BRAINLIEST!!!

Answers

Answer:

3/2

Step-by-step explanation:

K = Y/X

please help me due today I will give brainiest

Answers

1. Is 3/8x 5x8

2. Is 7 x 1/7

3. Is

suppose sin(x) = -3/5 and cos(x) < 0. what is the value of cos (2x)?​

Answers

Answer:

7/25

Step-by-step explanation:

Answer is C

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