Parallel lines have the same slope.
So the graph of [ y = 3x + any number ] is parallel
to the graph of [ y = 3x - 10 ] .
A system of equations means that both equations need to be true in the same time.
Since y is equal with 3x-7 and 2x+7 then those must be equal with eachother.
3x-7=2x+7
3x-2x=7+7
X=14
Now that we know x use any given equation of y and substitute x with 14
Y=3•14-7=35
Solution: x=14, y=35
When x = 1:
1³ + 1 - 3 = -1
When x = 2:
2³ + 2 - 3 = 7
Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).
