9514 1404 393
Answer:
a) x = {-1, 3, 4}
b) (0.472, 13.128)
c) (3.528, -1.128)
d) x < 0.472 U x > 3.528
e) 0.472 < x < 3.528
Step-by-step explanation:
This is a cubic (odd degree) function with a positive leading coefficient, so it will be increasing until the first turning point, and after the last turning point. It will be decreasing between the turning points.
a) A graph shows the zeros to be x = -1, x = 3, x = 4.
b) A graph shows the local maximum to be approximately (0.472, 13.128). The x-coordinate of this point is exactly 2-√(7/3).
c) The local minimum is about (3.528, -1.128). Its x-coordinate is exactly 2+√(7/3).
d) As stated above, the increasing intervals are (-∞, 0.428) ∪ (3.528, ∞).
e) The decreasing interval is (0.428, 3.528).
_____
<em>Additional comments</em>
The sum of odd-degree term coefficients is the same as the sum of coefficients of even-degree terms, so you know one of the roots is -1. Factoring that out gives the quadratic x^2 -7x +12 = (x -3)(x -4), so the other two roots are 3 and 4.
The derivative is 3x^2 -12x +5 = 3(x -2)^2 -7, so its roots (turning points of f(x)) are 2±√(7/3).
I find a graphing calculator can show me the roots and turning points easily.
Answer:
false
Step-by-step explanation:
Answer:
y = 4x + 9
week 21
Step-by-step explanation:
first I did 37-9 and got 28 I divide that by 7 ( seven weeks) and got 4 so I know the slope is 4.
so to find how many weeks till 93 I did; 93 = 4x + 9. We have to get x by its self so I minus 9 by both sides and got 84 = 4x. So now we divid both sides by 4 to get x by its self and we end up with 21 = x
Answer:
Could you retype the equation so it isn't jankey?!
Step-by-step explanation: