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musickatia [10]
3 years ago
10

Solve for x 5(x-10)=30-15x

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

solution :

    x = 4

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*(x-10)-(30-15*x)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 5 • (x - 10) -  (30 - 15x)  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  20x - 80  =   20 • (x - 4)

Equation at the end of step  3  :

 20 • (x - 4)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    20   =  0

Step-by-step explanation:

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Answer:

34 + x = 70 ; 36

Step-by-step explanation:

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If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

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Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

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