The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+<em>i</em> is a root, so 6-<em>i</em> is also a root.
So the simplest polynomial you can build with these roots is
(<em>x</em> - (-5)) (<em>x</em> - (6 + <em>i </em>)) (<em>x</em> - (6 - <em>i</em> )) = <em>x</em> ^3 - 7<em>x</em> ^2 - 23<em>x</em> + 185
(first choice)
If
is the number of members under 25, then we have
Answer: 59106
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 60000
r = 0.1% = 0.1/100 = 0.001
t = 2015 - 2000 = 15 years
Therefore
A = 60000(1 - 0.001)^15
A = 60000(0.999)^15
A = 59106
Answer:
Yes.
Step-by-step explanation:
Because sides are parallel, corresponding angles are congruent (angle W = angle V and angle U = angle T). By the third angle theorem (or you can use the reflexive property if that's easier), angle S = angle S. To determine triangles as similar, all angles must be congruent, and all sides must be equally proportional. This is true here because all of the angles are equal, so all of the sides must be proportional (I don't remember the theorem here)
To get the answer of x, use the proportional formula (UW/TV = US/TS). So (12/3)=(9/x), 4 = 9/x, 4x = 9, x = 9/4.
