Unit Test — Unit test Answers

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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
22
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A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box? V = lwhP = 2(l + w)

A
y = 5(28 – x)(x)
B
y = 5(28 – 2x)(x)
C
y = 5(14 – x)(x)
D
y = 5(14 – 2x)(x)
23

A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?

A
3 < t < 4
B
t < 4
C
t > 4
D
3 > t > 4
24

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

A
StartRoot 1 plus-or-minus StartRoot 159 EndRoot i Over 8 EndFraction
Option A
B
StartRoot 5 plus-or-minus StartRoot 153 EndRoot i Over 8 EndFraction
Option B
C
StartRoot 5 plus-or-minus StartRoot 103 EndRoot i Over 8 EndFraction
Option C
D
StartRoot 1 plus-or-minus StartRoot 153 EndRoot Over 8 EndFraction
Option D
25

Which function has the domain ?

Question illustration
A
y = StartRoot x + 11 EndRoot + 5
Option A
B
y = StartRoot x minus 11 EndRoot + 5
Option B
C
y = StartRoot x + 5 EndRoot minus 11
Option C
D
y = StartRoot x + 5 EndRoot + 11
Option D

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