(c) They all have absolute values equal to 3.
(d) They are all complex conjugates.
(e) They are all equal to the square root of −9.
- Imagine a two-by-two linear system in variables x and y. Suppose the graphs of the
equations are straight lines that intersect at a point in the second quadrant of a
Cartesian coordinate system where y is the dependent variable. From this information,
we know that
(a) the solution values for x and y are both positive.
(b) the solution value for x is positive, and the solution value for y is negative.
(c) the solution value for x is negative, and the solution value for y is positive.
(d) the solution values for x and y are both negative.
(e) the solution value for x is the additive inverse of the solution value for y.
- Which of the following statements is false?
(a)j^7 =j^3
(b)j^8 =j^4
(c)j^12 =j^8
(d)j^16 =j^12
(e)j^21 =j^18
- Here is a little mathematical verse:
For every x,y, and z:
If x is smaller than y
and
y is equal to z,
then
x is smaller than z.
How can we write this in mathematical symbols?
(a) (∀x,y,z) : [(x≤y) & (y≤z)] ⇒ (x < z)
(b) (∀x,y,z) : [(x < y) & (y=z)]⇒ (x < z)
(c) (∀x,y,z) : [(x≥y) & (y≤z)] ⇒ (x < z)
(d) (∀x,y,z) : [(x < y) & (y > z)] ⇒ (x < z)
(e) (∀x,y,z) : [(x=y) & (y < z)]⇒ (x < z)
- What is meant by the term additive identity element?
(a) It’s a number that we can add to a given number to produce a sum of 0.
(b) It’s a number that we can add to a given number to produce a sum equal to the
original number.
Final Exam 573
