Answers FL-1200700-Mathematics for College Algebra MISRadical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Unit test Answers

34 verified answers4 views

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

2 feet

4 feet

11 feet

19 feet

Free Preview

Which graph represents ?

On a coordinate plane, a cubic function has an inflection point at (0, negative 2).

On a coordinate plane, a cubic function has an inflection point at (negative 2, 0)

On a coordinate plane, a cubic function has an inflection point at (0, 2).

On a coordinate plane, a cubic function has an inflection point at (2, 0).

Which describes how to graph by transforming the parent function?

Reflect the parent function over the y-axis, and translate it 3 units to the right.

Reflect the parent function over the y-axis, and translate it 3 units to the left.

Reflect the parent function over the x-axis, and translate it 8 units to the right.

Reflect the parent function over the x-axis, and translate it 8 units to the left.

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

y = plus-or-minus StartRoot x EndRoot + 6

y = plus-or-minus StartRoot x + 36 EndRoot

y = plus-or-minus StartRoot x EndRoot + 36

y = plus-or-minus StartRoot x squared + 36 EndRoot

What is the solution of ?

x = –17

x = 13

x = 53

no solution

What is the solution of ?

x = –10

x = 3

x = –10 or x = 3

no solution

Which statement best describes and the parent function ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.

The ranges of g(x) and f(x) are the same, but their domains are not the same.

The ranges of g(x) and f(x) are the same, and their domains are also the same.

The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

Which could be the function graphed below?

f (x) = StartRoot x minus 5 EndRoot + 1

f (x) = StartRoot x minus 2 EndRoot

f (x) = StartRoot x EndRoot

f (x ) = StartRoot x + 4 EndRoot

What is the following simplified product? Assume

3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot + 8 x Superscript 5 Baseline StartRoot 10 EndRoot

3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot

3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 x EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

What is the following quotient?

2 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot

2 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)

3 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot

3 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)

Which equation is the inverse of y = 7x2 – 10?

y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction

y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot

y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction

Which function has a domain of and a range of ?

y = StartRoot x minus 5 EndRoot + 3

y = StartRoot x + 5 EndRoot minus 3

y = negative StartRoot x minus 5 EndRoot + 3

y = negative StartRoot x + 5 EndRoot minus 3

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

StartRoot 4 x EndRoot greater-than-or-equal-to 0

4 x + 9 greater-than-or-equal-to 0

4 x greater-than-or-equal-to 0

StartRoot 4 x + 9 EndRoot + 2 greater-than-or-equal-to 0

Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula , with d being the distance they can see in miles and h being their eye-level height in feet.

1 mi

19 mi

Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after years?