Unit Test — Unit test Answers

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Which values of x and y would make the following expression represent a real number?(4 + 5i)(x + yi)

A
x = 4, y = 5
B
x = –4, y = 0
C
x = 4, y = –5
D
x = 0, y = 5
42
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What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

A
1
B
–1
C
i
D
–i
43

Which statement about the following equation is true?3x2 – 8x + 5 = 5x2

A
The discriminant is less than 0, so there are two real roots.
B
The discriminant is greater than 0, so there are two real roots.
C
The discriminant is less than 0, so there are two complex roots.
D
The discriminant is greater than 0, so there are two complex roots.
44

In which quadrant is the number 6 – 8i located on the complex plane?

A
I
B
II
C
III
D
IV
45

When a baseball is hit by a batter, the height of the ball, h(t), at time t, , is determined by the equation . If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
46

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

A
x2 + mx + m = (x – 1)2
B
x2 + mx + m = (x + 1)2
C
x2 + mx + m = (x + 2)2
D
x2 + mx + m = (x + 4)2
47

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film the person between 15 m and 10 m above the ground. For which interval of time should the camera film the person?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
t < 2

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