AnswersCommon Core Math III AModeling with Quadratic Equations

Modeling with Quadratic Equations — Unit test Answers

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21
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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.
22
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Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.

A
x = –8 or x =
Option A
B
x = or x =
Option B
C
x = or x =
Option C
D
x = or x =
Option D
23

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

A
y = 9 (x + one-half) squared minus thirteen-fourths
Option A
B
y = 9 (x + one-half) squared minus 1
Option B
C
y = 9 (x + one-half) squared + five-fourths
Option C
D
y = 9 (x + one-half) squared minus five-fourths
Option D
24

The graph below shows the height of a projectile t seconds after it is launched. If acceleration due to gravity is –16 ft/s2, which equation models the height of the projectile correctly?h(t) = at2 + vt + h0

Question illustration
A
h(t) = –16t2 + 42t + 5
B
h(t) = –16t2 + 5
C
h(t) = –16t2 + 32
D
h(t) = –16t2 + 32t + 5
25

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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