f(x) = 2x - 3 and f(x) = f'(x), find the value of x.​

F(x) = 2x - 3 And F(x) = F'(x), Find The Value Of X.

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

x/2x-3=3x+1/2

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok


Related Questions


The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube?

Answers

Answer:

216in^2

Step-by-step explanation:

6*6*6=216

side length is 6

6^2=36

36*6=216

find the measure of the missing angle

Answers

Answer:

28 i think [⩾▾⩽]

Step-by-step explanation:

since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.

hope this helps^^

have a great day :D

Right angle = 90 degrees
90 - 62 = 28

a = 28 degrees

pls answer ASAP pls the quarter ends at 12:00

Answers

Answer:

55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

your trying to make it equal, in order to do that you must do to the top what you did the bottom

11 = ?

20=100

to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal

11/20x5/5=55/100

Given a special license plate tag consists of 5 characters for a small country. The first
characters is a digit between 1-6. The second and third characters are letters that
can not repeat. The last two characters can be any digits. How many unique tags
are possible?
351,000 tags
405,600 tags
325,000 tags
390,000 tags

Answers

Answer:

D

Step-by-step explanation:

Remark

First characters:  6 choices

Second two characters: 25 * 26

Third set of 2: 10 * 10 = 100

6 * 25 * 26 * 100 = 390000

Tyler will dog sit for a fee of $16 then $4 for each hour, Katie will dog sit for a fee of $12 then $6 per hour. After how many hours (x) will Tyler and Katie charge the same amount (y)?


can you tell me the steps to follow in order to solve this plz.

Answers

Answer:

4 hours

Step-by-step explanation:

Because 12 by 8 =96$ and 16 by 6 is equal to 96 too

At the beginning of a snowstorm, Nathaniel had 5 inches of snow on his lawn.
The snow then began to fall at a constant rate of 1.5 inches per hour.
Assuming no snow was melting, how much snow would Nathaniel have on his
lawn 5 hours after the snow began to fall? How much snow would Nathaniel
have on his lawn after t hours of snow falling?
Snow after 5 hours:
Show after t hours:

Answers

Answer:

In 5 hours he would have 7.5 inches of snow JUST from the snowstorm but the question says that he already had 5 inches in his lawn so that would make 12.5 inches of snow in 5 hours.

The second one says t, it doesn't state a number so lets assume the number is ten. So that's 5 more hours of constant snowfall, this makes our total be the sum of 12.5+7.5. This is equal to 20.

10 hours into the snowstorm Nathaniel had 20 inches of snow in his lawn.

Consider a brainliest if it helps :)

Answer:

Snow after 5 hours = 12.5

Show after t hours= 1.5t+5

Step-by-step explanation:

Use the figure to find the measure of <6. Plz help

Answers

Answer:

<6=82°

Step-by-step explanation:

jeoskzkkkkkkiwowowowoq

Answer: The answer is 82%

Step-by-step explanation: if you really pay attention and think its the same measurements.

SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST












7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.

b. In the equation, what does the 500 tell us about the situation?

c. In the equation, what does the tell us about the situation?

d. Graph the equation for values of t between 0 and 4.

Answers

Answer:

a. 281.25 grams

b. The 500 represent the original amount of aspirin.

c. 3/4 tells us what amount of the aspirin remains after every hour.

d's answer is in the picture. Just copy the line.

Step-by-step explanation:

A is the only part that needs any explanation.

Since the t represent hours, I'll subsititute t for 2.

500 * (3/4)²

3/4 squared is 9/16.

500 * 9/16

Multiply 500 by 9 to get 4500.

4500/16

Simplify 4500/16 to 1125/4 (4 is canceled out.)

1125/4

Divide 1125 by 4 to get 281.25

281.25

281.25 grams of aspirin will be in the patient body after two hours.

please factor -28c-12c²-16​

Answers

Answer:

-4(3c + 4)(c + 1)

Step-by-step explanation:

Reorder the expression

-12c² - 28c - 16

Divide it by -4

3c² + 7c + 4

Factor it by multiplying a (3) and c (4), then finding 2 factors that add up to b (7)

Two factors of 12 that add up to 7 are 4 and 3.

Use 4c and 3c to substitute for 7c in the expression, and simplify

3c² + 7c + 4

3c² + 3c + 4c + 4

3c(c + 1) + 4(c + 1)

(3c + 4)(c + 1)

Since we factored out a -4 in the beginning, add this in front

-4(3c + 4)(c + 1)

-8 3/8-10 1/6 PLS HELP!!!!!!!!!!!!!!!!!!!!!

Answers

I think it's -18 13/24 ?

Answer:

-18 13/24

Step-by-step explanation:

Looking at the two numbers, we need to find a common denominator. To do that, list the multiplies of both numbers & find the first one that is in common.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120

The first multiple 8 & 6 share is 24, so we'll use that as our denominator

-67/8 - 61/6

-201/24 - 244/24

(-201 - 244)/24

Subtract 244 from -201 to get -445.

-445/24

Convert -445/24 into a mixed number.

-18 13/24 is the answer to -8 3/8 - 10 1/6.

Please help me is this correct ??????

Answers

No it is not correct.

help por favor and ill love you forever <33

Answers

Answer:

B

Step-by-step explanation:

the second option!

Answer:

It would be 360/n

Step-by-step explanation:

Every shape's exterior angles must combine to form a 360* shape (meaning "full-circle" even though they are not circles). So you must divide 360 by the number of angles a shape has.

Ex #1: A Square has four angles, so the equation to finding the degrees of each exterior angle is 360/4, which equals 90. So 90* per exterior angle.

Ex #2: A Decagon has 10 angles, so the equation to finding the degrees of each exterior angle is 360/10, which equals 36. So 36* per exterior angle.

5 What is the range of
y = -x?- 2x + 3?


A X54
B X > -4
Cy 54
Dy >-4

Answers

The answer is d
Yes the answer is d

Evaluate whether the value makes a true or false statement.
-16 < b-8, if b = -8
a. True
B) False

Answers

Answer:

False they would be equal

Step-by-step explanation:

I’ll mark brain list, pls help i’m confused.

Answers

After 4 days Mariah and Ashley will have the same followers of having 136

5. Chante was very cold. She wanted to wear her new jacket with the pink
flowers on it. Her mother said that it was negative seven degrees Celsius
but that it was going to be eleven degrees Celsius by afternoon. How many
degrees would the temperature have to rise to reach eleven degrees
Celsius? Convert 11 degrees Celsius to Fahrenheit.

Answers

Step-by-step explanation:

To find how many degrees the temperature would have to rise you need to do 11 - (-7) which is equal to 18. So the temperature rose 18 degrees.

To convert Celsius to Fahrenheit you need to do

(C * 9/5) + 32. In this case it would be (11 * 9/5) + 32 which results in 51.8 degrees Fahrenheit.

Add. Write your answer in simplest form. 3/8+2/5

Answers

Answer:

31/40

Step-by-step explanation:

it cannot be simplified any further

Answer:

3/4

Step-by-step explanation:

First, you have to find a common demenator between the fractions, you can do this by multiplying the denomenators together, 8 * 5 is 40

Next, you have to multiply the first fraction by 5/5 and the second fraction by 8/8 and now you have 15/40 + 16/40, and now that the fractions have the same denomenators you can just add the numerators

And you get 30/40, which can be reduced to 3/4 by diviging both the numerator and denomenator by 10

What is the area of the given circle in terms of pi.

Answers

Answer:

First one

Step-by-step explanation:

Answer:

[tex]13.69\pi[/tex]

Step-by-step explanation:

here radius (r)=3.7

The manager at a grocery store took a survey to determine the price of milk at 10 other stores in the area. The prices are
shown in the table.
$2.99 $3.19 $3.29 $2.99 $3.19
$2.79 $2.89 $2.99 $2.99
$2.99
The price of milk at another grocery store is $4.49. What does this outlier do to the data?
OA. It skews the data to the right.
OB. It increases the mode.
O C. It increases the median.
O D. It decreases the interquartile range

Answers

Answer:

A it skews the data to the right

Step-by-step explanation:

A

Find the value of x that makes the equation true.

2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9

Answers

Answer:

x = 7/9 or 0.78 as a decimal

Step-by-step explanation:

have a nice day!! :)

What is the area?Please i need help

Answers

Answer:

65

Step-by-step explanation:

Base by High

then divided by 2

PLEASE HELP URGENTLY. Look at the given triangles.
Two triangles are shown

The blue triangle is a right triangle. The vertical leg is labeled with the expression 4 x plus 2. The horizontal leg is labeled with the expression 5 x minus 4. The hypotenuse is labeled with the expression 7 x plus 7.

The red triangle is a right triangle. The vertical leg is labeled with the expression x plus 3. The horizontal leg is labeled with the expression x plus 7. The hypotenuse is labeled with the expression 2 x minus 5.


a. Write an expression in simplest form for the perimeter of each triangle.

b. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.

Answers

Step-by-step explanation:

blue: 4x+2+7x+7+5x -4 = 16x +5

red: x+3+x+7+2x-5 = 4x -5

difference: 16x+5 - (4x -5) = 12x +10

I need help quick 5(3x-2)

Answers

Answer:

8x-10

Step-by-step explanation:

5 * 3x = 8x, 5* -2 = -10

Can anyone please help me to do this with steps

Answers

9514 1404 393

Answer:

  x = 45°

Step-by-step explanation:

We presume you want the measure of angle x.

Long arc BAD is intercepted by inscribed angle BCD and by inscribed angle BDE. Hence angle BDE has the same measure as angle BCD.

  x + 70° = 115°

  x = 45° . . . . . . subtract 70°

_____

It doesn't matter where point C is on short arc BD—the measure of angle C is the same regardless. This is still true even if point C moves to be on top of point D, so that angle BCD and angle BDE are indistinguishable.

This is for math class. Help me plz. Need this done by today mid-night.

Answers

5.99+.25d+10p+2.99
Mark me brainliest if u can

is 4x+5 eqvalent to 4(x+5)

Answers

Answer:

No

Step-by-step explanation:

4x+5 is not equivalent to 4(x+5) because when you solve for 4(x+5) using distributive property it equals 4x+20 which is not the same as 4x+5.

Answer:

Step-by-step explanation:

No, 4x+5 does not equal 4(x+5), because the operations are different for each expression.

4x+5 is an addition expression and 4(x+5) operation is multiplication.

You must using the distributive property to find the product: 4(x+5) = 4(x) + 4(5) = 4x +20

Therefore, 4x+5 is not equivalent to 4(x+5).

4x+5 is not equivalent to 4x+20.

does anybody know the answer?

Answers

x and 100 form a 180 degrees angle so
x+100=180
x=180-100
x=80

The sum of the interior angles of a triangle equals 180
y+x+45=180
y+80+45=180
y+125=180
y=55

an angle inscribed in the same os equal arc are equal?

Answers

Answer:

yes

Step-by-step explanation:

9-x/5=3 solve the folloswing equation for x

Answers

Answer:

x = 30

Step-by-step explanation:

x=30

becausebsbsbbsbsbssbshjsjshbzjs

PLS HELP AS SOON AS YOU CAN!
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?

A. One
B. Two
C. None
D. Infinitely many

Answers

Answer:

D) infinitely many solutions.

Step-by-step explanation:

1) Cancle 4y on both sides.

[tex]7 = 5 + 2[/tex]

2) Simplify 5 + 2 to 7.

[tex]7 = 7[/tex]

3) Since both sides equal, there are infinitely many solutions.

hence, the answer is option D) infinitely many solutions.

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