In 2017, solar and wind electricity generation totaled 218 thousand megawatt hours (mwh) wind generated 2 thousand mwh more than seven times that generated by solar energy. how much was generated by each source?

Energy generated by Solar is 27,000 MWH

Energy generated by Wind is 191,000  MWH

Step-by-step explanation:

The total amount of energy generated = 218,000 MWH

Let the energy generated by solar = S megawatt hours

So, according to the question,

Energy generated by the Wind = 2,000 + 7S

Now, Total energy generated = Wind Energy + Solar Energy

or,  218, 000 MWH =  (S) MWH +  + (2,000 + 7S) MWH

or, S + 7S + 2,000 = 218,000

or, 8S = 218,000 - 2000 = 2,16,000

⇒  

Hence, S = 27,000 MWH

or Energy generated by Solar is 27,000 MWH

⇒ Energy generated by the Wind = 2,000 + 7S = 2,000 + (27,000 x 7)

or,  generated Wind Energy = 191,000  MWH

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this