Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Multiplying Radicals

Multiplying Radicals — Test Answers

25 verified answers3 views

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

$6,075

$6,118

$6,456

$6,778

Free Preview

What is the following quotient?

StartFraction StartRoot 3 EndRoot Over 4 EndFraction

StartFraction 1 + StartRoot 3 EndRoot Over 4 EndFraction

StartFraction 1 minus StartRoot 3 EndRoot Over 4 EndFraction

StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction

Which expression is equivalent to ?

8y10

8y50

32y10

32y50

Which of the following is the graph of ?

On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3.

On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.

What is the simplified form of the following expression?

6 StartRoot 2 EndRoot

18 StartRoot 2 EndRoot

30 StartRoot 2 EndRoot

36 StartRoot 2 EndRoot

Which expression is equivalent to ? Assume and .

2 a cubed (RootIndex 4 StartRoot 9 b cubed EndRoot)

2 a Superscript 4 Baseline b (RootIndex 4 StartRoot 18 EndRoot)

6 a cubed (RootIndex 4 StartRoot 3 b cubed EndRoot)

12 a Superscript 6 Baseline b (RootIndex 4 StartRoot b EndRoot)

What is the solution of ?

x = 142

x = 232

x = 322

no solution

The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

0.32 km

0.75 km

1.12 km

3.17 km

Which expression is equivalent to ?

StartFraction RootIndex 4 StartRoot 200 EndRoot Over 2 EndFraction

StartFraction RootIndex 4 StartRoot 20 EndRoot Over 2 EndFraction

StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction

StartFraction 100 Over 8 EndFraction

Which of the following describes the graph of compared to the parent cube root function?

stretched by a factor of 2 and translated 64 units right and 5 units down

stretched by a factor of 8 and translated 8 units right and 5 units down

stretched by a factor of 2 and translated 8 units right and 5 units down

stretched by a factor of 8 and translated 64 units right and 5 units down

What is the following product?

x squared (RootIndex 3 StartRoot 28 x squared EndRoot)

x Superscript 5 Baseline (RootIndex 3 StartRoot 28 x EndRoot)

4 x squared (RootIndex 3 StartRoot 3 x squared EndRoot)

4 x Superscript 5 Baseline (RootIndex 3 StartRoot 3 x EndRoot)

What is the following simplified product? Assume

10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot + x squared StartRoot 15 x EndRoot

11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus x Superscript 4 Baseline StartRoot 75 EndRoot + x squared StartRoot 15 EndRoot

10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x squared StartRoot 15 EndRoot

11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x cubed StartRoot 15 x EndRoot

What value of c makes the equation true? Assume and

c = 12

c = 16

c = 64

c = 81

Kaylib’s eye-level height is 48 ft above sea level, and Addison’s eye-level height is ft above sea level. How much farther can Addison 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.

If the range of and the range of are the same, which statement is true about the value of m?

m can only equal 1.

m can be any positive real number.

m can be any negative real number.

m can be any real number.

Which function is undefined for x = 0?

y = RootIndex 3 StartRoot x minus 2 EndRoot

y = StartRoot x minus 2 EndRoot

y = RootIndex 3 StartRoot x + 2 EndRoot

y = StartRoot x + 2 EndRoot

What is the following product?

2 StartRoot 10 EndRoot

3 StartRoot 10 EndRoot

4 StartRoot 10 EndRoot

10 StartRoot 3 EndRoot

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?