Answers INMT3 Integrated Math 3 Sem 1 26-27Modeling with Quadratic Equations

Modeling with Quadratic Equations — Unit test Answers

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The formula for the volume of a pyramid is Which of the following equations is equivalent to the given formula?

uppercase B = StartFraction 3 uppercase V Over h EndFraction

uppercase B = StartFraction 3 h Over uppercase V EndFraction

uppercase B = StartFraction uppercase V minus one-third Over h EndFraction

uppercase B = StartFraction uppercase V + one-third Over h EndFraction

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The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

–18

–4

If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph?

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

5(4 + 4) – 6

5(5(4) – 6) – 6

54 – 6 + 54 – 6

5(4) – 6 + 5(4) – 6

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long?A = lw

y = (60 – x)(x)

y = (120 – x)(120 + x)

y = (120 – x)(x)

y = (60 – x)(60 + x)

For which pair of functions is ?

f(x) = 3 – 4x and g(x) = 16x – 3

f(x) = 6x2 and

and g(x) = 144x

f(x) = 4x and g(x) = 3x

Which equation represents a linear function?

y(x – 1) = 9

y – 5 = x(–x + 2)

y(y – 1) = x + 25

y – 5 = x – 20

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?h(t) = at2 + vt + h0

1.9 s

2.4 s

9.7 s

40.7 s

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?

Determine whether –x2 – (–x) + 8 is equivalent to x2 – x + 8.

Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.

Determine whether –x2 – (–x) + 8 is equivalent to –(x2 – x + 8).

Determine whether (–x)2 – (–x) + 8 is equivalent to –(x2 – x + 8).

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot uppercase A minus 36 EndRoot

x = plus-or-minus StartRoot uppercase A + 36 EndRoot

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

all real values of x

all real values of x except x = 5

all real values of x except x = –5

all real values of x except x = 5 and x = –5

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

Option

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

u(x) 0 and v(x) 2

x 0 and x cannot be any value for which u(x) 2

x 2 and x cannot be any value for which v(x) 0

u(x) 2 and v(x) 0

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

(–4, 1)

Option

(6, 0)

If the function has an inverse function, which statement must be true?

b not-equals 0

Option

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Modeling with Quadratic Equations — Unit test Answers

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