AnswersMathematics III ASquare Root Functions

Square Root Functions — Unit test Answers

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During a baseball game, a player hits a ball while a bird is flying across the field. Let t be the time in seconds since the ball is hit and h be the height in feet. The height of the baseball over time is modeled by the equation h = –16t2 + 65t and the height of a bird over time is modeled by the equation h = 8t + 20. What do the intersection points of the equations represent?

A
the height of the bird and the ball when the ball and the bird are the same distance from the player
B
the height of the bird and the ball when the player hits the ball
C
the time when the height of the ball and the bird are the same
D
the time when the ball and the bird hit the ground
3

What is the value of i 97 – i?

A
–i
B
0
C
–2i
D
i Superscript 96
Option D
4

Which expression is equivalent to (4 + 6i)2?

A
–20 + 48i
B
8 + 12i
C
16 – 36i
D
20 + 48i
5

If , which inequality can be used to find the domain of f(x)?

Question illustration
A
StartRoot 4 x EndRoot greater-than-or-equal-to 0
Option A
B
4 x + 9 greater-than-or-equal-to 0
Option B
C
4 x greater-than-or-equal-to 0
Option C
D
StartRoot 4 x + 9 EndRoot + 2 greater-than-or-equal-to 0
Option D
6

Which pair of complex numbers has a real-number product?

A
(1 + 3i)(6i)
B
(1 + 3i)(2 – 3i)
C
(1 + 3i)(1 – 3i)
D
(1 + 3i)(3i)
7

Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

A
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction
Option A
B
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction 2 StartRoot 15 EndRoot Over 11 EndFraction
Option B
C
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot Over 11 EndFraction
Option C
D
StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot i Over 11 EndFraction
Option D
8

Which equation represents a graph with a vertex at (1, –6)?

A
y = 3x2 + 6x – 3
B
y = 3x2 – 6x – 3
C
y = 3x2 – 8x – 1
D
y = 3x2 – 3x – 6
10

Which system is equivalent to

Question illustration
A
StartLayout Enlarged left-brace 1st row 5 minus x = 9 x squared 2nd row y = 5 minus x EndLayout
Option A
B
StartLayout Enlarged left-brace 1st row y = 9 y squared minus 90 y + 225 2nd row x = y minus 5 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st row 5 + x = 9 x squared 2nd row y = 5 + x EndLayout
Option C
D
StartLayout Enlarged left-brace 1st row y = 3 x 2nd row x + 3 x = 5 EndLayout
Option D
11

Which equation is the inverse of y = x2 – 36?

A
y = plus-or-minus StartRoot x EndRoot + 6
Option A
B
y = plus-or-minus StartRoot x + 36 EndRoot
Option B
C
y = plus-or-minus StartRoot x EndRoot + 36
Option C
D
y = plus-or-minus StartRoot x squared + 36 EndRoot
Option D

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