What is the solution to this system?
(a) (x,y)= (0, 4).
(b) (x,y)= (3/4, −1/2).
(c) (x,y)= (−4/3, 2).
(d) There are infinitely many solutions.
(e) There is no solution.- If the discriminant in a quadratic equation is equal to 0, it means that
(a) the equation has two different real roots.
(b) the equation has one real root with multiplicity 2.
(c) the equation has one imaginary root with multiplicity 2.
(d) the equation has two different nonreal, complex roots.
(e) the equation has no roots at all. - Which of the following is not a rational number?
(a) 22/7
(b) 25.25252525 ...
(c)π
(d) 641/2
(e) (64/9)1/2 - Suppose that m and n are integers, and p is a nonzero integer. All of the following
equationsexcept one are generally true. Which one is the exception?
(a) (m+n)/p=m/p+n/p
(b)p/(m−n)=p/m−p/n
(c)p(m+n)=pm+pn
(d) (m+n)p=mp+np
(e) (m−n)p=mp−np - Suppose we are trying to solve a three-by-three linear system using matrices. We are
sure we haven’t made any mistakes along the way. We come up with this matrix:
2228
333 − 7
− 1 − 1 − 1 5We can conclude that the original three-by-three system has
(a) no solutions.
(b) one solution.
(c) two solutions.
(d) three solutions.
(e) infinitely many solutions.546 Final Exam