vans = v, buses = b, students = s
8v + 8b =312s ...eqn 1
9v + 4b = 196s ...eqn 2
divide eqn 1 by 2
4v + 4b = 156s ...eqn 3
eqn 2 - eqn 3
5v = 40s
v = 8s
subst v = 8s in eqn 2
72s + 4b = 196 s
b = 31s
answer
each van holds 8 students and each bus holds 31 students
Answer:
3
Step-by-step explanation:
72/9 = 8 ( The quotient of 72 and 9)
8-5 = 3 (Decrease by 5)
The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary.
First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total.
Therefore, there is one real root and two imaginary roots.
Answer is B
Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots.
Answer is C) 3 real and 2 imaginary zeroes.
<span>Hope this helps: C. Convenience sampling</span>
