Solve the system of equations below using substitution. show all your work on scratch paper. then type your solution as an ordered pair.
y = -x + 7
y = 5x + 1

First I would move x and y on the same side so the new equations would be:

y+x=7 and y- (-5x)= 1, then you need to subtract the second equation from the first one

y+x=7

-y- (5x)=1 ,the y value would then be out of the equation leaving you with:

6x=6 then you would divide so

x=1

Then you need to substitute that back into the first equation:

y=(-1) + 7, simplify

y=6 so the final answer is

(1,6)

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

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: