Solve for x in the equation x squared minus 14 x + 31 = 63.
2 answers:
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Given equation is f(x)=-3x^3-x^2+1
We have to identify the graph that has same end behaviour as of given equation.
It seems that you have missed to attach the given graph in question. So i will explain about how to find correct graph.
Given function has highest exponent 3 so that means degree = 3
which is an odd number.
We know that graph of odd degree polynomial always starts and ends in opposite direction.
Leading coefficient of given function is -3 which is negative.
We know that when leading coefficient is negative then graph starts from top.
Hence graph of given function will start from top and go to the bottom as shown in picture.
Now any given graph which opens from up and ends in bottom will be answer.
All polynomials having odd degree and negative leading coefficient will also have similar graph.
To solve this we are going to use the formula fro the force applied to a spring: 
where
is the spring constant
is the extension
Since we know the
, we can replace that in our formula and solve for 
:
where
is the acceleration
is the spring constant
is the extension
is the mass
We know for our problem that
, 
, and 
. So lets replace those values in our formula to find :
We can conclude that the acceleration of the block when s=0.4m is
.
where
Since we know the
where
We know for our problem that
We can conclude that the acceleration of the block when s=0.4m is