Calculus

5.3x-2.16 = 2.12-5.4x

5.3x+5.4x = 2.12+2.16

10.7x = 4.28

x = 0.4 or 2/5

If you mean:

f(x) = x4 - 3x3 + 5x2 / x2

then:

f(x) = x4 - 3x3 + 5

∴ f'(x) = 4x3 - 9x2

If you mean:

f(x) = (x4 - 3x3 + 5x2) / x2

then:

f(x) = x2 - 3x + 5

∴ f'(x) = 2x - 3

5x+7=3x-21

-7= -7

5x=3x-14

-3x=-3x

2x=-14

2x/2x=2x/-14

x=-7

The Answer Is -7

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If I've read that correctly, you are asking if cube_root of all of x over 27 can be written in the form kx to the power p

ie ³√(x/27) = kx^p

Yes, with k = 1/3, p = 1/3

Cube root can be expressed as something to the power 1/3 since (x^a)^b = x^(ab) and cube roots are such that (³√x)³ = x and 1/3 × 3 = 1.

³√(x/27) = (x/27)^(1/3) = (x^(1/3))/(27^(1/3)) = (x^(1/3))/3 = (1/3)x^(1/3)

→ k = 1/3, p = 1/3.

the time period of a pendulum is proportional to the square root of length.if the length of the pendulum is increased the time period of the pendulum also gets increased. we know the formula for the time period , from there we can prove that the time period of a pendulum is directly proportional to the effective length of the pendulum.

T=2 pi (l\g)^1\2

or, T isproportionalto (l/g)^1/2

or, T is proportional to square root of the effective length.

3:36 = 1:12

It equals 53.

It is a non-linear equation in x and y. The equation cannot be solved without further information.

Rearrange the first equation: x=8-2y. Plug in this value of x into the second equation: 2(8-2y)+y=7. Simplify: 16-4y+y=7. -3y=-9. y=3. Plug this value of y into the first equation: x+2(3)=8. Solve for x: x=8-6. x=2. The answer is {2,3)

2112

sqrt(48y2) = sqrt(3*16y2) = sqrt(3)*4y = 6.928y (approx)

3

4x + 2y = 12

3x - 2y = 9 Have to use simultaneous equations, so add together to get :

7x = 21

so x = 3 Put it into any part of the equation

4x3 + 2y = 12

12 + 2y = 12

2y = 0

y = 0, x = 3

Given 6x + (7x-8) = -5

6x + 7x - 8 = -5

==> 13x = 3

therefore, x = 3/13

Y = 1

3(1) = 3

26 + 3 = 29

6+(-2x-8)-(-3+12x)-(4y)= 6-2x-8+3-12x-4y=1-14x-4y

1-14x=4y

(1-14x)/4=y

It is 123.

.036 = 36/1000 36/1000 = 18/500 18/500 = 9/250 9/250 is the simplest form

0.0075= 75/10,000=3/400

30p = 900

divide each side by 30

p = 30

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and 30 * 30 = 900

0r

30^2 = 900

Obviously, X is the variable which you are trying to get alone, and 0 is what the problem should equal. Basically, you're trying to get X by itself.

a=3

is the answer to 12a=48

Please, include the right symbols in your equation for a precise answer.