Answer:
The given function
has 2 x -intercepts.
Step-by-step explanation:
Here, the given polynomial function is :
![R(x) = x - x + x^2 - x\\\implies R(x) = x^2 - x](https://tex.z-dn.net/?f=R%28x%29%20%3D%20x%20-%20x%20%2B%20x%5E2%20%20-%20x%5C%5C%5Cimplies%20R%28x%29%20%3D%20x%5E2%20-%20x)
or,
............ (1)
X- intercept is the point in the graph of R(x), where the coordinate y = 0.
Now, substituting the value of y = 0 in (1) find all x - intercepts:
![y = 0 \implies x^2 - x = 0\\x(x-1) =0\\\implies(x-0)(x-1) = 0](https://tex.z-dn.net/?f=y%20%20%3D%20%200%20%20%20%5Cimplies%20x%5E2%20-%20x%20%3D%200%5C%5Cx%28x-1%29%20%20%3D0%5C%5C%5Cimplies%28x-0%29%28x-1%29%20%3D%200)
⇒ Either x = 0 , or x - 1 = 0 ⇒ x = 1
⇒The given function has two x intercepts at x = 0 and x = +1
Hence, the given function
has 2 x -intercepts.
Answer:
![S=\dfrac{(N+F)}{(P-V)}](https://tex.z-dn.net/?f=S%3D%5Cdfrac%7B%28N%2BF%29%7D%7B%28P-V%29%7D)
Step-by-step explanation:
The given equation is :
N=S(P-V)-F ...(1)
We need to solve the above equation for S.
Adding F both sides in equation (1)
N+F=S(P-V)-F+F
N+F=S(P-V)
Dividing both sides by (P-V). So,
![\dfrac{(N+F)}{(P-V)}=\dfrac{S(P-V)}{(P-V)}\\\\S=\dfrac{(N+F)}{(P-V)}](https://tex.z-dn.net/?f=%5Cdfrac%7B%28N%2BF%29%7D%7B%28P-V%29%7D%3D%5Cdfrac%7BS%28P-V%29%7D%7B%28P-V%29%7D%5C%5C%5C%5CS%3D%5Cdfrac%7B%28N%2BF%29%7D%7B%28P-V%29%7D)
So, the above is the expression for S.
Answer:
h= (2a)/b
Step-by-step explanation:
solved for equation