The zeros of function are x-s, for which f(x) = 0:
![f(x)=\dfrac{1}{2}x^3-x\\\\f(x)=0\iff\dfrac{1}{2}x^3-x=0\ \ \ \ |\cdot2\\\\x^3-2x=0\\\\x(x^2-2)=0\iff x=0\ \vee\ x^2-2=0\\\\x=0\ \vee\ x^2=2\\\\\boxed{x=0\ \vee\ x=-\sqrt2\ \vee\ x=\sqrt2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B1%7D%7B2%7Dx%5E3-x%5C%5C%5C%5Cf%28x%29%3D0%5Ciff%5Cdfrac%7B1%7D%7B2%7Dx%5E3-x%3D0%5C%20%5C%20%5C%20%5C%20%7C%5Ccdot2%5C%5C%5C%5Cx%5E3-2x%3D0%5C%5C%5C%5Cx%28x%5E2-2%29%3D0%5Ciff%20x%3D0%5C%20%5Cvee%5C%20x%5E2-2%3D0%5C%5C%5C%5Cx%3D0%5C%20%5Cvee%5C%20x%5E2%3D2%5C%5C%5C%5C%5Cboxed%7Bx%3D0%5C%20%5Cvee%5C%20x%3D-%5Csqrt2%5C%20%5Cvee%5C%20x%3D%5Csqrt2%7D)
Answer:
x=16
Step-by-step explanation:
6= x/4 + 2
Subtract 2 from both sides.
4= x/4
Multiply 4 to both sides.
x=16
Hope this helps!
Answer:13.80
Step-by-step explanation:18-4.20=13.80
Answer:
5x – 10 > 20 it could be 6
5x – 10 ≤ –15 = x< or equal to -1
Step-by-step explanation:
The graphs of y =1/x and y = 3/x – 4 can be compared by saying that c<span>ompared to the graph of y =1/x , the graph of y =3/x – 4 is a vertical stretch by a factor of 3 and a translation of 4 units down. This can be seen clearly when you graph the functions on a x-y coordinate plane.</span>