Answers FL-1200330-Algebra 2 Sem 2 - FlexDividing Radicals

Dividing Radicals — Unit test Answers

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The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?

k Superscript one-third

k Superscript one-half

k Superscript two-thirds

k Superscript three-halves

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A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using . Which statement is true?

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

What is the simplified form of the following expression? Assume .

StartFraction RootIndex 5 StartRoot 10 x EndRoot Over 3 x EndFraction

StartFraction RootIndex 5 StartRoot 30 EndRoot Over 3 x EndFraction

StartFraction RootIndex 5 StartRoot 120 x cubed EndRoot Over 3 x EndFraction

StartFraction RootIndex 5 StartRoot 810 x cubed EndRoot Over 3 x EndFraction

Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?

2.0 mph

3.3 mph

5.0 mph

10.0 mph

What is the following product? Assume

6 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

6 StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

6 y squared StartRoot 10 EndRoot + 4 StartRoot 5 y EndRoot

3 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

4 mph

7 mph

10 mph

12 mph

What is the solution to the equation ?

m = –4

m = –2

m = 2

m = 4

What is the solution of ?

x = –10

x = 3

x = –10 or x = 3

no solution

What is the quotient in simplified form? Assume .

Negative StartFraction 4 a Superscript 12 Baseline b Superscript 8 Baseline Over 5 EndFraction

Negative StartFraction 4 a Superscript 32 Baseline b Superscript 5 Baseline Over 5 EndFraction

StartFraction a Superscript 12 Baseline b Superscript 8 Baseline Over 80 EndFraction

StartFraction a Superscript 32 Baseline b Superscript 5 Baseline Over 80 EndFraction

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?

a = –1, m = 0

a = 1, m = 0

a = –1, m = 1

a = 1, m = 1

For which rational expression is –5 an excluded value of x?

Option

Which solution to the equation is extraneous?

a = –2

a = –2 and a = 4

neither a = –2 nor a = 4

a = 4

Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?

2.4 hours

2.5 hours

3.0 hours

4.0 hours

The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?