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

please help me with 5

Answers

Answer:

JL = 38

Step-by-step explanation:

Since JK ≅ KL , then Δ JKL is isosceles and KM is a perpendicular bisector, so

JM = ML , that is

14x - 9 = 8x + 3 ( subtract 8x from both sides )

6x - 9 = 3 ( add 9 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Then

JL = 14x - 9 + 8x + 3 = 22x - 6 = 22(2) - 6 = 44 - 6 = 38

Jesse ran 2⁄4 of a mile on Monday, 2⁄3 of a mile on Tuesday, and 2⁄8 of a mile on Wednesday. Which list orders the fractions from least to greatest?

Answers

Answer: 2/8, 2/3, 2/4

Step-by-step explanation:

The graph of quadratic function f(x) has a minimum at (-2,- 3 and passes through the point (2, 13). The functio
g(x) is represented by the equation g(x)= -(x+2)(x-3)
How much greater is the y-intercept of g(x) than f(x)?

Answers

Answer:

Step-by-step explanation:

hello :  

the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c

the vertex : (- b , c )  

means : (-2,-3)   so :  -b = -2   and  c = - 3      so  :  b =2  and  c = -3

f(x) = a(x+2)²-3

calculate : a  

the graph  passes through the point (2, 13) : f(2)=13

means : a(2+2)²-3 = 13

16a - = 13

16a = 16   so : a = 1

f(x) is represented by the equation f(x) = (x+2)²-3

The graph of  f(x) color red  and g(x) blue

is the y-intercept when g(x) greater g(x) than f(x) is when x=0  so : y = 6

what are all possible values for x in the equation x^3=375?
can you please solve this step by step?
will give brainliest​

Answers

Answer:

[tex]x=5\sqrt[3]{3}[/tex] or 7.21

Step-by-step explanation:

x³ = 375

You have to take the square root and have the index 3:

You have to have the index 3 because x is cubed and you have to get rid of the cubed sign since a normal square root is for when the exponent is 2:

[tex]\sqrt[3]{x^3} =\sqrt[3]{375} \\x=5\sqrt[3]{3}[/tex]

In decimal form (rounded to hundredths):

7.21

A campus courtyard is in the shape of a rectangle and consists of grass surrounded by a concrete path. The dimensions of the
entire courtyard are 25 ft. by 20 ft. The concrete path is 3 feet wide all the way around. The school decides to replace the
grassy area. A landscaping company charges $.20 per square foot for grass and $.60 per square foot to install it.
Approximately how much would the school save if the math club volunteered to install it instead of having the landscape
company install it?

Answers

Answer:

I think they'd be saving approximately $300

Step-by-step explanation:

25 times 20 is 500. 500 times .6 is 300 bucks.

Stacy made 3 of her car payments late and was fined 3 late fees. The total change to her savings from late fees was - $24. How much was each late fee?​

Answers

Answer:

$8

Step-by-step explanation:

I got my answer of $8 because I knew that the total amount of money she was charged for late fees was $24, and she was charged for 3 late fees. Then, I did $24 divided by 3 late fees and got $8 per late fee as my answer.

24 divided by 3 equals 8.

a new computer costs 950$ but it depreciates in value by about 14% each year.At this rate,how much will it be worth in 6 years?​

Answers

Step-by-step explanation:

950x14= 13 300

13300/100

133$ per year

133x6years= 798$

so 950-798= 152

152$ will be the price of the pc at this rate you said

find the missing side length. leave your answers as radicals in simplest form.​ show work!!

Answers

Answer:

v = 3√6

u = 6√3

Step-by-step explanation:

v = 3√6 because it is an isosceles triangle

u² = 2(3√6)²

u² = 108

u =√108 = 6√3

HELP ASAP PLEASE!!!!!!!!

Answers

Answer:

2/3

Step-by-step explanation:

The label on a bottle of Juice X-Treme states that the bottle contains 15% real fruit juice. How is this percent of real fruit juice written as a decimal?

Answers

Answer:

0.15

Step-by-step explanation:

to convert to decimal, divide 15 by 100

15/100 = 0.15

Susan buys the items listed below at a grocery store.

2 packages of chicken priced at $12.36 per package

1 halfpound of broccoli priced at $1.98 per pound

1 gallon of milk priced at $3.49 per gallon

There is no sales tax on the food she buys. Susan pays for the item and receives $0.80 in change. What amount of money does Susan use to pay for the items?

please show your work.free 31 points

Answers

Answer:

Susan should get a loan and jjustpay without stressing herself and calculaitingthis

 

Step-by-step explanation:

She uses $31.99 to pay for the items.

2(12.36) + 1.98 + 3.49
= 24.72 + 5.47
= 30.19 (cost of all items)

$30.19 + 0.80 = 31.99

805 x 3
sssssssssssssssssss​

Answers

Answer:

2415

Step-by-step explanation:

805 x 3

2415

Enter the coordinates of the point
on the unit circle at the given angle.
270°

Answers

Answer: 0,-1

Step-by-step explanation:

can someone find the surface area for this?

Answers

Answer: the triangles should be 203.391 and the rectangle is 74.4 so in total it would be 481.182

Step-by-step explanation:

Helpppppp please mmmmmmm

Answers

Step-by-step explanation:

Please type or post your question....

hope you might understood

Question 3 of 40
Suppose the linear regression line y = 2.125x - 33.121 predicts a lemonade
stand's profits based on the number of cups sold. If x represents the number
of cups sold, and y represents the lemonade stand's profits in dollars, about
how much can the lemonade stand expect in profits if it sells 425 cups?
A. $930
B. $900
C. $870
D. $840
SUBMIT

Answers

Answer:

C is the correct answer

Step-by-step explanation:

A P E X

Answer: C. 870 is the correct answer

Step-by-step explanation:

find the total surface area of the shape

Answers

Answer:

510 ft²

Step-by-step explanation:

in the triangle

base (b) = 5 ft

height of the triangle (h1) = 12 ft

height of the prism = 15 ft

Now

Lateral surface area (LSA)

= perimeter of triangular base * height

= ( 13 + 5 + 12) * 15

= 450 ft²

Total surface area

= LSA + 2 * area of triangular base

= 450 + 2 * 1 / 2 * b * h1

= 450 + 5 * 12

= 450 + 60

= 510 ft²

Hope it will help :)❤

Amy and Jenny shared a pizza. Amy ate 1/8th of the pizza and jenny consumed 3/8th of it. What fraction of the pizza did the girls eat in total?

Answers

Answer:

In total they ate 4/8 of the pizza. Meaning that together they ate 1/2 of the pizza.

Step-by-step explanation:

1/8 plus 3/8 equals 4/8 which is equal to 1/2.

The Statue of Liberty is about 300 feet tall and about 30 feet wide. The town of Unionville is building a smaller model for their Fourth of July celebration. Unionville's statue will be 3 feet wide.

Answers

Answer:

Step-by-step explanation:

The width of the actual statue is 30 feet and that of the model is 3 ft.  What is the scale?  3 ft divided by 30 ft is 1/10.  

The smaller model will be 1/10 the size of the actual Statue of Liberty.

Answer:

Solution :-

Tall : Width

300 : 30

x : 3

By cross multiplication

3(300) = 30(x)

900 = 30x

900/30 = x

30 = x

[tex] \\ [/tex]

Members of a soccer team raised $1416.50 to go to a tournament. They rented a bus
for $877.50 and budgeted $24.50 per player for meals. Determine the number of
players the team can bring to the tournament.

Answers

Answer: The answer is 22 players

Step-by-step explanation:

Solve. Suppose that 1,000 students took a math examination wherein the maximum score that they can obtain is 100. Their average score is 70 with a standard of the deviation of 5. How many of the students obtained a score from 70 to 95?

Answers

Answer:

prolly like 689

Step-by-step explanation:

As per the given data, approximately 499 of the 1,000 students obtained a score from 70 to 95.

What is z-score?

A standardized score is an example of a z-score. A z-score is a measure of how far a data point is from the mean in a distribution.

To solve this problem, we need to calculate the number of students who obtained a score from 70 to 95.

First, we need to calculate the z-scores for these two scores using the formula:

z = (score - mean) / standard deviation

For a score of 70:

z = (70 - 70) / 5 = 0

For a score of 95:

z = (95 - 70) / 5 = 5

Next, we need to find the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or calculator.

The area between z = 0 and z = 5 is approximately 0.499, or 49.9%.

Finally, we can calculate the number of students who obtained a score from 70 to 95 by multiplying this proportion by the total number of students:

Number of students = proportion x total number of students

Number of students = 0.499 x 1000

Number of students ≈ 499

Therefore, approximately 499 of the 1,000 students obtained a score from 70 to 95.

For more details regarding standard deviation, visit:

https://brainly.com/question/23907081

#SPJ3

HELP! PLEASE! 35 POINTS

Answers

Answer:

Please provide image

Step-by-step explanation:

The image is not shown.

3 – 9 + 4 =
3 – 9 + 4 =
3 – 9 + 4 =

Answers

Answer:

[tex]3 - 9 + 4 = 7 - 9 = - 2[/tex]

Hope it helps

Answer:

-2 is the answer

Step-by-step explanation:

3 - 9 + 4 = 7 - 9 = -2

PLEASE HELP!!




13. Every Friday, milkshakes are on sale at The Ice Cream Shoppe with a 15% discount.

13a) The regular price of a milk shake is $4. What is the discount price?

13b) If the regular price of a shake is X dollars, what is the discount price in dollars?

13c) On your birthday, the discount price of an ice cream cake is $22. What is the regular price?

(*I really need help on this T^T*)

Answers

Answer:

13a) $3.40

13b) 0.85X

13c) $25.88

Step-by-step explanation:

13a) When there is a 15% discount, we can say that we are only paying 85% of the original price because out of 100%, 15% is taken away. 85% in decimals is 85/100 = 0.85.

$4 x 0.85 is the discounted price, which is $3.40

13b) In 13a, the price was 4. Now, the price is X. Hence we plug in (substitute) X in for 4, giving us X x 0.85, which we can write as 0.85X

13c) 85% of the cake is $22. To find 100% of the price, we can find 1% of the original price and then multiply that by 100, which gives us 100% of the price.

We know 85% of the original price. Therefore, dividng the price by 85 will give us 1% of the price. 1% = $22/85

Finally, to calculate 100%, we multiply by 100.

22/88 x 100 = 440/17 which is 25.882 in decimals, which we round to 2 decimal places (because it is currency) = $25.88

firt awnser will get brainleyst

Answers

Answer:

1) 95/24

2)23/3

3) 791/72

Step-by-step explanation:

hope this helps

which is not equivalent to 24y-12​

Answers

Answer:

what are the answer choices

Step-by-step explanation:

The linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a linear expression:

= 24y - 12

From the above linear expression take 2 as a common factor:

= 2(12y - 6)

Take 2 as common factor again:

= 2(2)(6y - 3)

= 4(6y - 3)

Now, take 3 as a common factors:

= 12(2y - 1)

The expression 24y - 12 is equivalent to the expressions 2(12y - 6), 4(6y - 3), and 12(2y - 1).

Thus, the linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Which of the following describes the graph of
f(x) = x2 – 5x + 6?
A.The graph opens downward and has
x-intercepts at (2,0) and (3,0).
B.The graph opens downward and has
x-intercepts at (-2,0) and (-3,0).
C.The graph opens upward and has
x-intercepts at (2,0) and (3,0).
D.The graph opens upward and has
x-intercepts at (-2,0) and (-3,0).

Answers

Answer:

C

Step-by-step explanation:

x=2and3 y is 0

leading coefficient is positive so open upward


Please help ASAP

Extra 500 points and brainliest

Answers

Answer:

3

Step-by-step explanation:

Only answer that remotely gets close to the chart.

Answer:

Step-by-step explanation:

(3) only answer closest

A un grupo de estudiantes se les preguntó -"¿Cuántas horas de televisión vieron la semana pasada?" Aquí están sus respuestas: 17, 10, 18, 18, 12, 16 Hallar la mediana y la media de las horas de estos estudiantes. Si es necesario, redondear las respuestas a la décima más cercana.

Answers

Answer:

15.2

mediana=

Step-by-step explanation:

17+10+18+18+12+16=91

91/6 (6 son las respuestas)

mediana= 15.2

10, 12, 16, (16.5) 17, 18, 18

media= literalmente en Medio de los numeros,

16.5

Write √7 using rational exponents

Answers

Answer:

[tex]7^{\frac{1}{2} }[/tex]

Step-by-step explanation:

rewritten using rational exponents

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