A) the posible roots of the function f(x)=x⁴-3x³-5x²+21x+22 are:
=-1,+1,-2,+2,-11,+11,-22+22.
b)
one zero of the funtion can be: x=-1 ⇒y=0
(-1,0)c)
other zero of the funtion is: x=-2 ⇒y=0
(-2,0)d)
if x=0 then y=22
(0,22)
e) In the file is the graph.
Answer:
The annual percentage rate of change for the population of Oregon is of 8.125%.
Step-by-step explanation:
Total percentage change:
Change multiplied by 100 and divided by the initial value.
Change: 8.7 - 4.8 = 3.9 million
Initial value: 4.8
Percentage change: 3.9*100/4.8 = 81.25%
Annual percentage rate of change
81.25% during 10 years(from 2000 to 2010).
So, per year
81.25%/10 = 8.125%
The annual percentage rate of change for the population of Oregon is of 8.125%.
Answer:
1- 5xy³√5y
2- 2xy²∛3y²
Step-by-step explanation:
√125x²y^7=
√25*5x²y^6y
5xy³√5y
2) ∛24x³y^8=
∛2³*3x³y^8=
2xy²∛3y²
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
