Maricella solves for x in the equation 4x-2(3x-4)+4=-x+3(x+1)+1 . She begins by adding –4 + 4 on the left side of the equation a
2 answers:
Answer:
Option 1.
Step-by-step explanation:
The given equation is
To solve the given equation for x, first we need to use distributive property.
Using Distributive property we get
Now we need to add -2(-4)+4 on left side and 3(1)+1 on right side.
It is given that Maricella begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation.
She was incorrect because the multiplication that takes place while distributing comes before addition and subtraction in order of operations.
Therefore, the correct option is 1.
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Given that the rate of change of y with respect to x is inversely proportional to y². Its equation can be written as :-
where 'k' is the proportionality constant, it can take any real value.
We can solve it by integrating the above equation with respect to x.
Rewriting and rearranging the terms of above equation :-
y²·dy = k·dx
Integrating both sides :-
∫ y²·dy = ∫ k·dx
= k·x
y³ = 3·k·x + C
where C is the constant of integration.
So, y³ = 3·k·x + C is the final answer.