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3 years ago

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

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use a system of linear equations with two variables and two equations to solve. a number is 11 more than another number. twice t

Eva8 [605]

The value of required two numbers x and y are 7 and -4 respectively. These values are find out using Elimination method.

Let the required first number and second numbers be x and y respectively .

We have given that, one Number is more than other by 11

i.e., the difference of two numbers is equal to 11

x - y = 11. …..(1)

And twice the sum of the two numbers is 6 i.e.,

2(x + y) = 6 => 2x + 2y = 6 => x +y = 3 …….(2)

Now , equation (1) and (2) are linear equation with two variables x and y .

We shall solve above two equations and find out the value of two variables. Using Elimination method , In which value of one variable is find out by eliminate the second variable through their coefficient comparison.

Added the equation ( 1) and (2) we get, 2x = 14 => x = 7

Put the value of x in equation (1) we get,

7 – y = 11 => y = -4

Thus, we get the values of two variables x and y is 7 and -4 respectively.

To learn more about linear equation, refer:

brainly.com/question/21243732

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7 0

1 year ago

David is buying a cheese wheel priced at \$650$650dollar sign, 650 before tax. The store charges 8\%8%8, percent sales tax.

lozanna [386]

Answer:

$702

Step-by-step explanation:

To find the total price of the cheese wheel that David is buying, we need to multiply the original cost to sales tax first.

Original Cost = $650

Sales Tax Percentage= 8% or 0.08

Now let's solve for how much the sales tax is.

Sales Tax = 0.08 x 650

Sales Tax = $52

Now to get the price including the tax, we simple add the original cost to the sales tax.

Total Price = $650 + $52

Total Price = $702

So the cheese wheel that David bought is $702 with tax included.

7 0

3 years ago

Read 2 more answers

A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose 1/10 degree every 1/4 hour for

klio [65]

Answer:

The rate is $\frac{2}{5}$ degree per hour.

Step-by-step explanation:

Given : A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose $\frac{1}{10}$ degree every $\frac{1}{4}$ hour for a limited time.