Monday, August 5, 2024

# Prentice Hall Gold Algebra 2 Answer Key Form G

## X2 5 0000009 20003 0003 42 X4 5 00001 201 01

Algebra 2 – Chapter 6 Review

43. The number of new customers n that visit a dry cleaning shop in one year is directly related to the amount a spent on advertising. This relationship is represented by n3 5 13,824a. To attract 480 new customers, how much should the owners spend on advertising during the year? \$8000

44. Geometry The volume V of a sphere with radius r is given by the formula V 5 43 pr3 . a. What is the radius of a sphere with volume 36p cubic inches? 3 in. b. If the volume increases by a factor of 8, what is the new radius? 6 in.

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## If A 0 Reflect The Graph Of Y 5 F Across The X

1. Use the general rules to describe how the graph of y 5 232 1 7 can be obtained from the graph of f 5 x2 . reect across the x-axis, stretch by a factor of 3, shift right 5 units and shift up 7 units 3 2. Write the equation for the graph that looks like y 5 !x but that is shifted right four units, reflected across the x-axis, and shifted down six units. 3 y 5 2!x 2 4 2 6

3. Use the graph of y 5 f given below to sketch the graph of y 5 f 2 1. y y y

Solve the equation by graphing. Round the answer to the nearest hundredth, ifnecessary. If there is no solution, explain why.11. !3x 1 1 5 5 8 12. !4x 1 1 5 9 20

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## Prentice Hall Gold Algebra 2 Teaching Resources

6-2 Multiplying and Dividing Radical Expressions

nTo simplify the radical !a, you look for a perfect nth power among the factors ofthe radicand a. When this factor is not obvious, it is helpful to factor the numberinto primes. Prime numbers are important in many aspects of mathematics.Several mathematicians throughout history have unsuccessfully tried to find apattern that would generate the nth prime number. Other mathematicians haveoffered conjectures about primes that remain unresolved.

## Write Each Expression In Exponential Form

31. The rate of inflation i that raises the cost of an item from the present value P to F 1t the future value F over t years is found using the formula i 5 Q P R 2 1. Round your answers to the nearest tenth of a percent. a. What is the rate of inflation for which a television set costing \$1000 today will become one costing \$1500 in 3 years? 14.5% b. What is the rate of inflation that will result in the price P doubling in 10 years? 7.2%

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## What Is The Domain And Range Of The Inverse Of The Function Y 5 X 2 5 F

Extended Response a. What is the inverse of the formula? b. Is the inverse a function? c. Using the inverse, what GPA does a student need to get a passing score of 510 on the state exam? 1 a. y 5 150 1 or y 5 150 x 2 65 b. yes c. 2.2 most work is correct but there are minor errors student understands the problem and shows some correct work student may understand the problem but doesnt know how to proceed OR correct answers without work shown no answers given

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## Find The Inverse Of Each Function Is The Inverse A Function

For each function, find the inverse and the domain and range of the functionand its inverse. Determine whether the inverse is a function. 123. f 5 6 x f 21 5 6x 24. f 5 215 x 1 2 25. f 5 x2 2 2 f 21 5 w!x 1 2 The domain and range of f f 21 5 25x 1 10 The Domain of f 5 all real numbers 5 range and f 21 is the set of all real domain and range of f and of f 21 Range of f 5 the set of real numbers f 21 is a function. f 21 is the set of all real numbers greater than or equal to 22 5 numbers f 21 is a function. domain of f 21 f 21 is not a function.

## A3 Y 2 5b A2 Y 1 5 5b 44 A X 2 3b A X 1 3b

Algebra 2: Ch 3.5: Linear Functions as Mathematical Models

600 ft 300 V6 ft 300 V3 ft sidewalk

300 ft 300 V3 ft

a. If a man walks around the perimeter of the park, how far will he walk? b. What is the area of the park? ft or about 2154 ft 270,000 1 90,000 !3 2 ft2 or about 212,942 ft246. The area of a rectangle is 10 in.2. The length is A2 1 !2B in. What is the width? 5 in.47. One solution to the equation x2 1 2x 2 2 5 0 is 21 1 !3. To show this, let x 5 21 1 !3 and answer each of the following questions. a. What is x2? 4 2 2 !3 b. What is 2x? 22 1 2 !3 c. Using your answers to parts and , what is the sum x2 1 2x 2 2? 0

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## Prentice Hall Foundations Algebra 2 Teaching Resources

2x2y7 2 2 7 2 x y 2×2 y7 x2 y7

Short Response 6. The surface area S, in square units, of a sphere with volume V, in cubic units, 1 2 is given by the formula S 5 p 33 . What is the surface area of a sphere with volume 43 mi3? Show your work. 2 1 2 1 3 1 2 1 2 S 5 3 3 5 3 c 6 Q 43 R d 5 3 3 5 4 3 mi appropriate method but some computational errors incorrect answer and no work shown OR no answer given

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## Simplify Each Expression Assume That All Variables Are Positive

Extended Response19. Writing Explain how you can obtain the solutions to a system of equations by graphing. 19. Answers may vary. Sample: Graph both equations on the same grid. If the graphs do not intersect, then the system has no solution. If the graphs intersect in one or more points, then the intersection point are the solution of the system. Explanation shows understanding of the concepts with some minor errors. Explanation contains minor errors. Explanation contains major errors and lacks detail. Explanation is missing.20. Open-Ended Write the equation of a parabola with vertex at . 20. Answers may vary. Sample: f 5 2 1 3. Equation has minor errors. Equation has major errors. Equation is incomplete and the given answer has errors. Equation is missing.

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## A Floor Is Made Up Of Hexagon

1. 10 2. 9 3. 3 4. 2 5. 30 . 08

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

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## A Clothing Manufacturer Finds The Number Of Defective Blouses D Is A Function

46. The velocity of a falling object can be found using the formula v2 5 64h, where v is the velocity and h is the distance the object has already fallen. a. What is the velocity of the object after a 10-foot fall? about 25.30 ft/sec b. How much does the velocity increase if the object falls 20 feet rather than 10 feet? about 10.48 ft/sec

## What Must Occur If F + G 5 0 Ac 5 0 And Ad 1 B 5 0

6-1 Solving Systems By Graphing

15. Constant functions are a subset of linear functions in which the coefficient of x is zero. What type of function is the composite of two constant functions? constant

16. a. If h and k are two constant functions, under what circumstances does h + k 5 k + h? if h 5 k b. Under what circumstances does h + k 5 k? if h 5 k c. Under what circumstances does h + k 5 h? h ° k always equals h d. Under what circumstances does h + k 5 0? if h 5 0

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## What Is The Simplest Form Of A 2 1 7b A 2 2 7b C

14 1 7 !5 14 2 7 !5 3 3 3 16 ! 5 12 ! 5 4! 5 0

Short Response 6. A hiker drops a rock from the rim of the Grand Canyon. The distance it falls d in feet after t seconds is given by the function d 5 16t2 . How far has the rock fallen after seconds? Show your work. d 5 16t2 5 162 5 16 5 176 1 96 !2 ft appropriate method but with computational errors incorrect answer and no work shown OR no answer given

## Examine The Graphs Of F 5 X 2 2 And Its Inverse Y

This inverse relationship is true for all relations whenever both f andf 21 are defined.

Problem

What are the domain and range of the inverse of the function f 5 !3 2 x?f is defined for 3 2 x \$ 0 or x # 3. yTherefore, the domain of f and the range of f 21 is the set of all x # 3. 6 5The range of f is the set of all x \$ 0. So, the domain of f 21 is the set 4of all x \$ 0. f 3 2

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## Solve To Start Rewrite The Equation To Isolate The Radical

Solve. 2 3 1 4. 2 3 5 50 5. 2 2 5 54 6. 3 1 3 5 22 127 and 2123 6 220

V 7. The formula d 5 2#ph relates the diameter d, in units, of a cylinder to its volume V, in cubic units, and its height h, in units. A cylindrical can has a diameter of 3 in. and a height of 4 in. What is the volume of the can to the nearest cubic inch? 28 in.3

## Prentice Hall Algebra 2 Teaching Resources

Boat Building Boat builders share an old rule of thumb for sailboats. Themaximum speed K in knots is 1.35 times the square root of the length L in feetof the boats waterline. a. A customer is planning to order a sailboat with a maximum speed of 12 knots. How long should the waterline be? b. How much longer would the waterline have to be to achieve a maximum speed of 15 knots?

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## Multiple Choice What Is The Inverse Of Y 5 5x 2 1 B

For each function, find its inverse and the domain and range of the function andits inverse. Determine whether the inverse is a function.14. f 5 !x 1 1 15. f 5 10 2 3x 16. f 5 4×2 1 25 21 2 21 1 10 !x 2 25 f 5 x 2 1 domain f 5 23 x 1 3 domain f21 5 w domain 2

Multiple ChoiceFor Exercises 14, choose the correct letter.

x 22 21 0 2 1. What is the inverse of the relation? A y 3 1 21 22

x 22 21 1 3 x 22 21 0 2 y 2 0 21 22 y 22 21 1 3

x 2 1 0 2 x 22 21 1 3 y 3 1 1 2 y 2 1 21 22

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