Answer:
![y=2x^3+4x^2-x+5](https://tex.z-dn.net/?f=y%3D2x%5E3%2B4x%5E2-x%2B5)
![y=-3x^2+4x+9](https://tex.z-dn.net/?f=y%3D-3x%5E2%2B4x%2B9)
Step-by-step explanation:
The given equation is in the form ![2x^3+4x^2-x+5=-3x^2+4x+9](https://tex.z-dn.net/?f=2x%5E3%2B4x%5E2-x%2B5%3D-3x%5E2%2B4x%2B9)
We have to evaluate the correct system of equations which can be used to find the roots of the equation.
We can find the root of the equation by plotting the graph of the equations. In order to graph, we can assume the left and right hand side of the given equation as two separate equations.
Therefore, we have
![y=2x^3+4x^2-x+5](https://tex.z-dn.net/?f=y%3D2x%5E3%2B4x%5E2-x%2B5)
![y=-3x^2+4x+9](https://tex.z-dn.net/?f=y%3D-3x%5E2%2B4x%2B9)
Now, we plot the graph of these two equations in the same coordinate plane. The intersection point (s) would be the roots of the given equation.
Hence, the system of equation that we can use to find the root of the given equation is
![y=2x^3+4x^2-x+5](https://tex.z-dn.net/?f=y%3D2x%5E3%2B4x%5E2-x%2B5)
![y=-3x^2+4x+9](https://tex.z-dn.net/?f=y%3D-3x%5E2%2B4x%2B9)
Last option is correct.
Answer:C
Step-by-step explanation:
All percents are not whole. And no whole number can be rational, because a ration is a piece of, not a whole. I hope this helped!
Answer:
17.46 or 1170/67
Step-by-step explanation:
Since you can't have a decimal denominator, just multiply it by 10 to make it a whole number.
First write it in vertex form :-
y= a(x - 2)^2 + 3 where a is some constant.
We can find the value of a by substituting the point (0.0) into the equation:-
0 = a((-2)^2 + 3
4a = -3
a = -3/4
so our equation becomes y = (-3/4)(x - 2)^2 + 3