Differentiate the function with respect to x
f(x)= x^4/ x^2- 4
Show work

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x)=\frac{u}{v} ,u~ and~ v~ functions~ of~ x\\f'(x)=\frac{v ~u'-u~v' }{v^2} \\f(x)=\frac{x^4}{x^2-4} \\f'(x)=\frac{(x^2-4)*4x^3-x^4(2x)}{(x^2-4)^2} \\=\frac{2x^3(2x^2-8-x^2) }{(x^2-4)^2} \\=\frac{2x^3(x^2-8)}{(x^2-4)^2}[/tex]


Related Questions

if the edge of a cube is 1 cm then which of the following is its volume
A. 6m3
B. 3m3
C. 1m3
D. 4m3
last number are the power

Answers

C hope this helps
Good luck

7.Rob ran miles from his house to the park. He ran miles on the park trail, and then ran back home. How many miles did he run in all?

Answers

Answer:

okokokokokokokokokopop

WILL GIVE BRAINLIEST! PLS HELP!
2, 6, 18…
Find the 35th number in this pattern

Answers

Answer:

going by 2

Step-by-step explanation:

Answer:

3.3354363e+16

explanation:

the pattern here is the number times 3 until you reach the 35th times you've multiplied the previous number

2× 3= 6

6× 3= 18

Translate the image ( x + 5, y - 1 )

Answers

Answer:

In 1 at place the image is possible

A woman is ordering pizza for a party she can get 3 large pizzas for $26 at this rate what will 12 large pizzas cost?

Answers

Answer:104

Step-by-step explanation: if three pizzas cost $26 and you buy 12 pizzas so 4 X 26 = 104

Explain what opposing position means.

Answers

Answer:

to fight against, counter, or resist strongly. to be hostile or antagonistic to; be against. to place or set in opposition; contrast or counterbalance. to place opposite or facing. to be or act in opposition

Answer:

Opposition (noun) The apparent relative of 2 celestial bodies when one is at angle of 180 degrees from the other as seen from the earth

How to convert 0.5% to a decimal

Answers

Answer:

.005

Step-by-step explanation:

Move the decimal point to the left 2 spaces.

Answer:

.05

Step-by-step explanation:

All you have to do is move the decimal over to the left once!

I hope this helps, and have a great day! :)

1. A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.

Answers

Answer:

a)x+y=7 and y-x=3

b)x=2 and y=5

Step-by-step explanation:

The total of the two perimeters must equal 28. That is:

4x+4y=28

x+y=7 (simplified)

The larger side length is 3 inches longer than the smaller side length. That is:

y=x+3

Sub 'x+3' in for y:

x+(x+3)=7

x+x=7-3

2x=4

x=2

y=x+3

=2+3

=5

Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the edge of the photo frame with a golden ribbon at a cost of $0.50 per inch. How much ribbon will Byron need, and how much will it cost for him to cover the frame? DO NOT PUT UNITS IN THE ANSWER.

Answers

Answer:

216 inches of ribbon is needed.

216 inches of ribbon will cost Bryon $108.

Step-by-step explanation:

multiply 12 x 18

12 x 18 = 216

216 inches of ribbon need to be used to cover the frame.

To find the cost multiply 216 and 0.5

216 x 0.5 = 108

It will cost Bryon $108 for 216 inches of ribbon.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

The domain ofy = x-5 – 1 is

Answers

Answer:

6 i believe

Step-by-step explanation:

delete my question if im wrong:)

answer:

x > = 5

step-by-step explanation:

next couple questions :)

the range is - y > = -1

the graph of y = √x-5 -1 is graph d

-9 Divided by -3+4:-1/4-20 divied 5=

Answers

i think the answer is  -19.25

Use the Distributive Property to solve the equation.

4x - 2(x - 3) = -4 + 5x - 5

show work

Answers

Answer:

x = 5

Step-by-step explanation:

1. Distributive Property

(Do what's in the parenthesis first)

4x - 2x + 6 = -4 + 5x - 5

2. Combine Like Terms

2x + 6 = -9 + 5x

3. Take away 6 on both sides

2x + 6 - 6 = -9 - 6 +5x

It will give u.....

2x = -15 + 5x

4. Subtract 5x on both sides

2x - 5x = -15

It will give u.....

-3x = -15

5. Divide by -3 on both sides to isolate the variable

-3x / 3 = -15/-3

Now you get....

x = 5

2 negatives make a positive

Thats ur answer

Hope this helped!

WILL GIVE BRAINLIEST PLZ HELP

Is the second picture right? (the new line is the blue one)

Answers

AnsweIt should be right

Step-by-step explanation:

there are 800 ppl who 50% of them use english 30% use spanish 15% vianameese 5% other
how many people use each language?
(WORK whoever shows the best work gets brainiest reported if no work!)

Answers

Answer:

400 people english, 240 spanish, 120 vietnamese and 40 other

Step-by-step explanation:

50% is half of 800.

half of 800 is 400. 400 use english

to find 10 percent, you divide by 10. to find 30, you multiply that by 3.

80 times 3 is 240. 240 use spanish.

15 percent is 10 percent, which is 80, +40 because of the 5 percent

80+40 is 120. 120 use vietnamese.

5 percent is half of ten percent.

half of 80 is 40.

and it all adds up to 800

your welcome!:)

Answer:

English of the bat is just 400, because that is the half of 800

spanish - 240

vianameese - 120

other - 40

Step-by-step explanation:

to get the answered you just turn the percent into a decimal like 50%-0.5, 30%-0.3, 15%-0.15, and 5%- 0.05. Then you just multiply the decimal by 800. And the number you get is the amount of people!

Hope you get it

Sam is tallying the response cards for an upcoming dinner he is catering. The 27 cards requesting a vegetarian plate represent 4% of the total number of guests. About how many guests will be attending this event

Answers

Answer:

675

Step-by-step explanation:

675x0.04=27

The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _______ represent the first number Then _______ will represent the second number. b) What is the equation that represents the above situation? c) Solve the equation.

Answers

Answer:

34 and 17

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

x = 2yx + y = 51

c) Solve the equation.

Substitute x in the second equation and solve for y:

x + y = 512y + y = 513y = 51y = 51/3y = 17

Then find x

x = 2y = 2*17 = 34

Answer:

[tex]\tt{34~and ~17 }[/tex]

Step-by-step explanation:

let the first number is =x

second number is =y

The sum of two numbers is 51 =x+y=51•••{1}

the greater number is twice the smaller number= x=2y••••••••{2}

According to the question,

[tex]\bold{ x+y=51 }[/tex]

[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]

[tex]\bold{ 3y=51 }[/tex]

[tex]\bold{ y=\dfrac{51}{3} }[/tex]

[tex]\boxed{\blue{y=17 } }[/tex]

NOW put the value y in equation {2}

we get that,

[tex]\bold{ x=2×17 }[/tex]

[tex]\bold{ x=34 }[/tex]

What are the
relationships among angles that are created
when a line intersects two parallel lines?

Answers

Answer:

angles

Step-by-step explanation:

trust me

The relationship between the angles created by the intersection of 2 parallel lines are solved

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the first line be represented as m

Let the second line be represented as n

Now , the lines m and n are parallel lines

And , let the transversal line be t , which intersects m and n

So , Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

Hence , the angles formed are solved

To learn more about parallel lines cut by transversal click :

https://brainly.com/question/28182928

#SPJ3

help ASAP pleaseeee...

Answers

Answer: let's try C ( sorry if i'm wrong)

Step-by-step explanation:


[tex]3\5 + 1\8 - 1\4 \div 1\2[/tex]

Answers

Hey there!

The answer is 3

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First we do 1 ÷ 1, which is 1. Now we are left with 3 + 1 - 1. Now, we do addition. 3 + 1 = 4. Then, subtraction. 4 - 1 = 3.

Hope it helps and have a great day!

The answer would be 3

What is the slope of the line?

no slope
1
0
-2

Answers

Answer:

0

Step-by-step explanation:

5% times what equals 6.5

Answers

Answer:

0.325

5% = 0.05

6.5*0.05

0.5*0.05=0.025

6*0.05=0.3

0.3+0.025=0.325

Based on a recent poll, there is a 50-50 chance that a randomly selected adult has pierced ears. Express the indicated degree of likelihood as a probability value between 0 and 1. Group of answer choices

Answers

Answer:

50/100 or 1/2

Explanation:

A 50-50 chance that a randomly selected adult has pierced ears means there's is a 50 percent probability of randomly selecting an adult that has pierced ears. In other words, there is half chance of selecting such an adult. A zero or one probability means there is either no possibility of selecting an adult with pierced ears or it is sure that a random adult would have pierced ears

Simplify the expression.


Need this ASAP please and thanks

Answers

Answer:

18x^2y^2 3√3xy^2

Step-by-step explanation:

the ^ = exponent

the 3 (the one that is after 2) is the tiny number that is by

Triangle 1 is a scale drawing of Triangle 2, as shown below.


Based on the information shown in these triangles, what is the length of the side x?

Answers

7

6 / 4 = 1.5 so that means 6 / 1.5 = 4

now that we have that, 10.5 / 1.5 = 7

Answer:

its 7.

Step-by-step explanation:

Which graph represents the function f(x)=4⋅3X

Answers

Answer:

D.

Step-by-step explanation:

Today Olivia has $127 in her savings account. She will deposit $5 into the account each week given x < 0 whitch function represents the amount in Olivias savings account after x weeks

Answers

Answer:

y = 127 + 5x

Step-by-step explanation:

Today Olivia has $127 in her savings account. She will deposit $5 into the account each week given x < 0

Let x = number of weeks Olivia deposits money.

y = Total pint of money that Olivia has in her account after x weeks

Hence, the function represents the amount in Olivias savings account after x weeks is ;

y = $127 + $5 × x

x < 0

y = 127 + 5x

What one do I graph

Answers

Answer:

-2 goes on bottom line on -2 and -6 goes on left side on -6

Step-by-step explanation:

The batter is on home plate, a pitch was tossed. The batter is 6 foot tall, he hits the ball 4ft above the ground. The ball lands 450 feet away from the batter. The max. height that the ball traveled was 100 feet, the max height occurred half of the distance between home plate and where the ball landed.

Answers

Answer:

45 feet

Step-by-step explanation:

Justin drives 7.5 miles in 15 minutes. If he drove three hours in total at the same rate, how far did he go?

Answers

Answer:

Justin drove 90 miles in 3 hours.

Step-by-step explanation:

Given that:

Justin drives 7.5 miles in 15 minutes.

Speed of Justin = [tex]\frac{7.5}{15}[/tex]

Speed of Justin = 0.5 miles per minute

For speed in hours, we will multiply by 60

Speed of Justin = 0.5 * 60 = 30 miles per hour

Distance covered in 3 hours = 30 * 3 = 90 miles

Hence,

Justin drove 90 miles in 3 hours.

The total distance covered by Justin at the same rate is equal to 90 miles.

Given the following data:

Distance A = 7.5 milesTime A = 15 minutesTotal time = 3 hours

Conversion:

1 hour = 60 minutes

3 hours = 180 minutes

To determine the total distance covered by Justin at the same rate:

First of all, we would calculate the rate of Justin's speed as follows:

[tex]Speed =\frac{distance}{time} \\\\Speed =\frac{7.5}{15}[/tex]

Speed = 0.5 miles per min.

For the total distance:

[tex]Total\;distance = speed \times total\;time\\\\Total\;distance = 0.5 \times 180[/tex]

Total distance = 90 miles.

Read more: https://brainly.com/question/10545161

Steve measures his height as 175.5 cm. His actual height is 180 cm. What is the percent error in his measurement?

Answers

Answer: 180 is a 2.5641025641026% increase of 175.5.

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