x^2 - 4
------------------------------
x + 7 | x^3 + 7x^2 - 4x - 28
x^3 + 7x^2
------------------
0 - 4x - 28
-4x - 28
-------------
0
Now we know that
x^3 + 7x^2 - 4x - 28 = (x^2 - 4)(x + 7)
x^2 - 4 can be factored since it is the difference of two squares.
x^2 - 4 = (x + 2)(x - 2)
The complete factoring is:
x^3 + 7x^2 - 4x - 28 = (x +2)(x - 2)(x + 7)
Point A shows that she is incorrect.
With functions, you can perform the "straight line test through each point. If the line goes through both points, you know it's not a function.
If we plotted point A, it'd fail the straight line test because the given point (-6, 7) already has -6 as an x value.
Hope this helps!
If y=4x+2 and x=1, we can get 4*1+2=6 for y, resulting in 1*6+1/6=2+z. Subtracting 2 from both sides, we get 4+1/6=z
Therefore, the answer is b < 7.
155x + 375 = 900
155x = 525
x = 3.387
Then you need to round up to 4 because 3 weeks wouldn't be enough.
So your answer should be (4)