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2 years ago

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

Mathematics

2 answers:

seraphim [82]2 years ago

7 0

4p-7=13
this is because you need to simplify the first side
if thats not the right answer, then is 4p=13

serg [7]2 years ago

4 0

Combine like terms

3p + p = 4p

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3 years ago

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3 years ago

future value = P × (1+ i)t `"present value" = "P" / (1 + i)^"t"` What would be the value of $100 after 10 years if you earn 11 p

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3 years ago

Find the deriative dy/dx for y=x^2-2x/x^3+3

vaieri [72.5K]

Answer:

$\frac{dy}{dx}=(\frac{(2x-2)(x^3+3)-(x^2-2x)(3x^2)}{(x^3+3)^2})$

Step-by-step explanation:

So we want to find the derivative of the rational equation:

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First, recall the quotient rule:

$(\frac{f}{g})'=\frac{f'g-fg'}{g^2}$

Let f be x^2-2x and let g be x^3+3.

Calculate the derivatives of each:

$f=x^2-2x\\f'=2x-2$

$g=x^3+3\\g=3x^2$

So:

$\frac{dy}{dx}=(\frac{x^2-2x}{x^3+3})'$

Use the above format:

$\frac{dy}{dx}=\frac{f'g-fg'}{g^2}\\\frac{dy}{dx}=(\frac{(2x-2)(x^3+3)-(x^2-2x)(3x^2)}{(x^3+3)^2})$

And that's our answer :)

(If you want to, you can also expand. However, no terms will be canceled.)

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3 years ago