1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
murzikaleks [220]
3 years ago
6

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

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

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

You might be interested in
Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

__

<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

__

<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

__

<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

  ladder length ≈ 30.7 ft

3 0
2 years ago
Helppppppppppppppppppppppppppppppppppp
skad [1K]

Answer:

The answer would be 7 I hope this helps! : )

4 0
3 years ago
Read 2 more answers
The freezing point of helium is -468 degrees Fahrenheit. If you increase that temperature by 569.7 degrees Fahrenheit, you reach
balandron [24]

The answer to your question would be that 101.7 is the freezing point of phosphorous.

3 0
3 years ago
A skier skis CCW along a circular ski trail that has a radius of 1.9 km. She starts at the northern most point of the trail and
mestny [16]

The expressions of the number of radians can be expressed in the ways below.

<h3>How to write the expressions</h3>

The radius = 1.9 km

The angular speed = 3.1 radians per hour

a. The expression of t from the number of radians

θ = π/2 + 3.1t

<h3>b. Expression from the East</h3>

x = rcosθ

= 1.9cos(π/2 + 3.1t)km

<h3>c. Expression from the north of the center</h3>

= rsinθ

= 1.9sin((π/2 + 3.1t)km

Read more on angular speed here:

brainly.com/question/6860269

#SPJ1

8 0
2 years ago
Question is attached!​
wel

Answer:

what are the answer

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 5 divided by 3,200
    8·1 answer
  • Julia writes 2 fractions with the same denominator that have numerators 5 and 7. What could the denominator be if the sum is les
    13·1 answer
  • Carlos reads a book for language arts class.He finished the book on Friday.On Monday he read 27 pages.On Tuesday he read 31 page
    5·2 answers
  • 1. Name the x- and y-intercepts for the equation: 2x + y = 6 (0, 3) and (60) (0, -3) and (-6,0) (3,0) and (0,6) (-3,0) and (0, -
    10·2 answers
  • Is (2,3), (6,9), (10,12), (2,-3) a function
    6·2 answers
  • Factorise the expressions and divide them as directed.​
    14·1 answer
  • Quadrilateral QRST is a square. If the measure of RS is 12x + 5 and QT is 8x + 15. find the value of QR ​
    10·2 answers
  • 93=30-e
    13·1 answer
  • Factorización de 6y-12x2+18x3
    8·2 answers
  • 7) After translating the point (x, y) four units to the right, what are its new coordinates?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!