Differentiate the function h(x) using the quotient rule.
h(x) =2x+5 /2--x

Answers

Answer 1

[tex]h'(x)=\frac{\frac{d}{dx}[2x+5] (2-x)-\frac{d}{dx}[2-x](2x+5) }{(2-x)^2}\\=\frac{2(2-x)-(-1)(2x+5)}{(2-x)^2} \\=\frac{4-2x+2x+5}{(2-x)^2}\\=\frac{9}{(2-x)^2} \\=\frac{9}{x^2-4x+4}[/tex]


Related Questions

What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?

Answers

Answer:

13

Step-by-step explanation:

wdadsadawda pls help

Answers

Step-by-step explanation:

the equation is

x + 0.25 = 15.75

by subtracting 0.25 from both sides we get

x = 15.75 - 0.25 = 15.50

so, her hourly wage before the raise was $15.50.

she got a raise less than $1/ hour, so her new hourly wage should be less than $15.50 + $1 = $16.50. her new hourly wage of $15.75 is less than $16.50, so the answer is reasonable.

4. Which of the following sets of ordered pairs is a function?
a. {(-3, -2), (-1, 3), (0, -2), (3, 4)}
b. {(0, 1), (3, 2), (5,-3), (0, 2)}
c. {(-7, -7) (-2,5),(-1, 6).(-2,-5)}
d. {(-4,-7), (-9,5), (4, -2), (-9, 0)}

Answers

Answer:

a

Step-by-step explanation:

Thing that x = a kid and y = it's biological mother

To be a function you need for each x to have only one y !

a. {(x= -3, y = -2), (x= -1, y= 3), (x=0, y= -2), (x= 3, y= 4)} Is a Function

b. {(x= 0, y= 1), (x= 3, y= 2), (x= 5, y= -3), (x= 0, y= 2)} Not  a Function because kid x=0 has two biological mothers y=1 and y=2.

c. {(x= -7, y= -7) (x= -2, y= 5),(x= -1, y= 6).(x= -2, y= -5)}Not a Function because kid x= -2 has two biological mothers y= 5 and y= -5

d. {(x= -4, y= -7), (x= -9, y= 5), (x= 4, y= -2), (x= -9, y= 0)} Not a Function because kid x= -9 has two biological mothers y= 5 , and y= 0

What is an
equation of the line that passes through the points (6.1) and (72)

Answers

The correct equation is Y=X-5 :)

= Test: Chapter 1-4 Test
Question 1
>
This Test: 24 pts possible
Determine whether 7 is a solution of the equation 2x - 6 = 2
Enter your search term
Choose the correct answer below.
O A. Yes, 7 is a solution to the equation because a false statement results after replacing x with 7
OB. No, 7 is not a solution to the equation because a false statement results after replacing x with 7
O C. No. 7 is not a solution to the equation because a true statement results after replacing x with 7
OD. Yes, 7 is a solution to the equation because a true statement results after replacing x with 7

Answers

Answer:

D

Step-by-step explanation:

the explanation on D

563.7 × 10 to the second power =?

Answers

3177 is the answer if im not wrong then im sorry
Answer: 3177 I think

Convert 18 over 5 to a decimal using long division.

Answers

Answer:

3.6

Step-by-step explanation:

18/5 =3.6

5/5 = 1

18 - 15 =3. 15/5= 3

the remaining

3/5 = 0.6

3+0.6=3.6

What's the area of this? PLS HELP

Answers

Answer:

446mm

Step-by-step explanation:

If we box off parts of the area, it makes it easier to solve. I personally broke it into tiny bits:

Upper left box: 16mm

Bigger box (excluding little box): 90mm

Big rectangle: 340mm

Now, add them all together.

Equals 446mm

Answer:

area: 446mm

Step-by-step explanation:

split up the shape into squares, find the area of those, add it all together to get the total area

Rewrite the sum of 96 + 80 using the distrubutive property

Answers

Yes I have the same problem with my phone I think it’s 190
96+80 is just 176 but we need to do the distributive properties. So distributive properties for example at a(b+c) but we need ours to equal 176. Let’s pick an a value, let’s say 4 so 4(b+c)=176. A quarter of 176 is 44, so b+c =44. B has to stay as a variable. Let’s say b= 30. C would be 14. So 4(b+14) would be a distributive property for 96+80

The probability that a certain make of car will need repairs in the first eight months is 0.6. A dealer sells three such cars. What is the probability that at least one of them will require repairs in the first eight months? Round your final answer to four decimal places.

Answers

Answer:

There is a 1.8% chance that one of the cars will need a repair in the first month.

Step-by-step explanation:

It’s actually very simple, as we just have to multiply the 0.6% by 3, considering that there are three cars, and we then get the answer; 1.8%.

Hope This Helped!

What is , Pd?
24
4
1
16

Answers

The answer is 24 the first choice

Evaluate the exponential expression (−2)6. Question 6 options: 64 −12 −64 12

Answers

The answer is -12. -2 x 6 equals to -12.

One-eighth of the parts tooled by a machine are rejects. How many parts were tooled
*437 parts were rejected?

Answers

There were 3,496 parts in total that were tooled by the machine.

Assuming the total number of parts tooled is x, that means that 1/8 of x is 437 parts because that was the proportion of the total that was rejected.

To find the total number of parts therefore, use the formula:

Proportion of rejects × x = Number of parts rejected

1/8 × x = 437

1/8x = 437

x = 437 ÷ 1/8

x = 437 x 8

x = 3,496 parts

In conclusion, there was 3,496 parts.

Find out more at https://brainly.com/question/876506.

Solve pls brainliest

Answers

Answer: a= --89 feet b= 242 feet

Step-by-step explanation:

at a local drive-thru restaurant four out of every ten drinks sold are diet drinks if the restaurant sells 14,380 drinks in one month how many would be diet drinks

Answers

Answer:14.380÷10×4=5752

Step-by-step explanation:

HELP ASAP!!!!!!!!!!
What is the equation of the line that passes through the point (- 3, 1) and has a slope of 2/3?

Answers

Step-by-step explanation:

Equation of a line passing through a point (h, k) and slope 'm' will be,

y - k = m(x - h)

If this line passes through a point (-3, 1) and has a slope 2/3 32 .

Therefore, equation of the line will be,

y-1=2/3(x+3)y−1=32(x+3)

y=2/3+2+1y=32x+2+1

y=2/3 x+3y=32x+3

Therefore, equation of the line will be,

y=2/3x+3y=32x+3

P.S (2/3- fraction)

what is the value of x?

Answers

The value of x would be 0.643

where is the step-by-step explanation?

Answers

Answer:

Step-by-step explanation:

DONE SDEA

What is your question?

Have a beautiful and joyful day ahead.

Which expression is equivalent to (One-sixteenth) Superscript negative 4?

Answers

The answer to solving ur answer is 29474! But Ik I’m wrong dnt Liston to me

PLS HELP REAL ANSWERS

Answers

Answer:

it is d

Step-by-step explanation:

ok good luck

Select the correct answer.
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?

A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.

Answers

The answer for this equation is A

Answer:

A is correct.

Write this number in
scientific notation.
19,800,000
1.98x10[?] I need help on the last step

Answers

the answer would be 1.98x10 6th power because you have to move the decimal 6 spaces to the left

need help due 3 minutes!!!!!

Answers

Answer:

in standered form -

3x²+4x−14=0

Step-by-step explanation:

Hope this helps :)

Last week Betsy made 80 on her quiz. This week she made 76. What is the percent of decrease in her score?

Answers

From the information given, she made an 80 the first week she took the quiz, then the next week she made a 76. Furthermore, we are asked to find the percent decrease.

Decrease means less. And less means subtraction in terms of Mathematics. So, hence, subtract 76 from 80 to find the percent decrease.

80 - 76 = 4

Now, just add the percentage behind the result.

4%

Therefore, the percent decrease in Besty's score is 4%.

please help, no one is helping points are 20 for this so help i need to know asap

Answers

Answer:

It's first term is - 6. Fifth term is 6

First term: -6, Fifth term: 6

Step-by-step explanation:

First term:

Write the equation. 3n -9Subsitute the value of the term you need to find 3(1) - 9Solve 3 - 9= -6

Fifth term:

Write the equation. 3n - 9Subsitute the value of the term you need to find3(5) - 9Solve15 - 9= 6

If f(x)=-6x+16, then calculate f(1).
What is the answer?

Answers

Answer:

f(1) = 10

Step-by-step explanation:

Plug the value 1 in for x (replace all instances of x with 1)

f(1) = -6(1) + 16

= -6 + 16

--> 16 - 6

= 10

Kingston read of a chapter of his history book in of an hour. At this rate, how many chapters of his
history book can he read in 1 hour?

Answers

Is there a photo to this?

JOSIE HAS 43 ANIMAL BOOKS AND 29 ART BOOKS . SHE PUTS ALL THE BOOKS ON 8 SHELVES . SHE PUTS THE SAME NUMBER OF BOOKS ON EACH SHELF HAW MANY BOOKS DOES JOSIE PUT ON EACH SHELVES

Answers

Answer:

9 books on each shelf

Step-by-step explanation:

43 + 29 = 72 books total

72/8 = 9 books per shelf

Answer: 9

Step-by-step explanation:

43+29=72

72/8=9

Elena is planning to go camping for the weekend and has already spent $40 on supplies. She goes to the store and buys more supplies.

Which inequality represents d, the total amount in dollars that Elena spends on supplies?

Answers

Answer:

I think it d≥40

Step-by-step explanation:

Probally is d≥40

The inequality equation of the total amount in dollars that Elena spends on supplies is d ≥ 40.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

Elena is planning to go camping for the weekend and has already spent $40 on supplies. She goes to the store and buys more supplies.

Let d be the total amount. Then we have

d ≥ 40

More about the inequality link is given below.

https://brainly.com/question/19491153

A baseball diamond is a square that is 90 feet on each side. What is the distance a catcher has to throw the ball from home to second base?

Answers

Omg I did this like one month ago. Okay so first draw a square and mark 90 on each side. Then draw a diagonal line. You are left with 2 triangles. Now you have to do a2+ b2= c2
So 90 squared + 90 squared = c2
90 x 90= 8100 x 2 is equal to 16200.
16200= c2
The square root of 16200 is about 127.27 feet. That’s the answer
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