Quadratic equations Questions and Answers

PROBLEM 6 For a function f x x 2d x d 3p find the left slant asimptote 5p examine the monotonicity and find local extreme values 2p verify if it is injective

A toy rocket is fired into the air from the top of a barn Its heighth above the ground in yards after t seconds is given by the function h t height of the rocket is second s 5t 10t 20 The initial feet above the ground The rocket reached its maximum height after

Choose the statements below that are true about this situation Choose all that apply During a high school baseball tournament Lexie hits a pitch and the baseball stays in the air for 4 42 seconds The function describes the height over time where h is its height in yards and t is the time in seconds from the instant the ball is hit h t 5t 22t 5 A B C D The ball stays in the air for 2 5 seconds The initial height that the ball was hit from was 5 yards above the ground The ball reaches the maximum height at 2 2 seconds The maximum height of the ball is 24 7 yards 86

tgpx 2x for x 0 10p Find parameters a b e R for which a function f x a arcsin cos 47 for x 1 sin px b for x 1 In 1 px is continuous at x 0

5 7 1 3 3 4 1 2 YA 4 YA 2 3 YA YA equation Y x 5 y equation equation equation y x 3 y 4x 4 y 2x 2 2 4 6 8 YA YA 15 2 YA YA equation equation y x 2 equation Math x 1 y y x 1 equation y x 3

1 2023 Kuta Software LLC All rights reserved EXTRA CREDIT SUM 1 Write each expression in radical form 3 1 10n A 6n Simplify 2 3 5 22 2 25 A 3 5 5 3 2 4 3 5 5 15 20 3 39 A B 5n B 2 5 10 B C 10n 3 5 5 29 C D n 2 3 5 10 2 3 D 20 3 10 5 7 D 5 5 20 11

check your solution 3x 7 x 3 2 3 3 1 1

7 x2 x 4 8 Type a response x 5 2 x 5 1

check your solution 8x 1 x 2 LO 5 6 4 3 2

110 111 2x 125 2 25 3 64 9 32 2x y 3x y 2x y x y Yan t The Answer is 94 prop Yan t The Answer is 1

Find the volume of the prism by counting the number of unit cubes X units

What are the vertical asymptotes of the function f x Ox 3 and x 2 Ox 3 and x 2 Ox 1 and x 2 O x 1 and x 2 2x 8 x 5x 6

Solve for x 05 29 5 23 5 19 3 5 x 1 8

04 01 LC Simplify x 5X 4 x 4 Ox 1 Ox 1 Ox 1 2

04 01 LC Simplify O 10x 32 4 5x2 32 2 5x 16 2 O 10x 8 Ox 8

Solve for x 05 O 3 O 3 5 4 X X 3

Solve for x O 10 O 12 O 24 Q48 64 X 8

Solve for x O 6 06 09 2 8 WIN 3 X 6

Sketch a net of the prism Then use the net to find the surface area of the prism by finding the sum of the areas of its faces 50 x cm 3 cm 5 em 1 cm 5 cm 6 cm

What is the weight of the box in pounds lb 50 45 40 55 35 0 lb 30 5 25 10 15 20

Sketch a net of each rectangular prism Then use the net to find the surface area of the prism a b 3 in Sin 12 mm 1 1 11 in 18 mm 9 in mm 76 mm

A certain driving test requires the driver to stop with the front wheel of the vehicle inside a rectangular box drawn on the pavement The box is 70 inches long and has a width that is 22 inches less than the length Find the perimeter and area of the box perimeter in in area

14 3x 5 3 2x 7 3 115 4x 3 1999 2x 5 1999 X Yan t The Answer is 12 X TROPOL YAYINLARI METROPOL PUBLICATIONS 118 x 7 2018 3x 15 2018 119 5x 3 62 3x 13 62 x Yan t The Answ Ex

Each solid is composed of a rectangular prism and a regular pyramid Find the surface area of the solid a b 8 units 9 units units2 units 4 units 4 units 11 units 4 units 1 5 units unit

A gas tank for a boat has the shape of a rectangular prism One gallon of gasoline has a volume of 231 cubic inches 14 in 18 in 24 in a Use the dimensions shown to find the volume of the tank in cubic inches 3 b How many inches high is the fuel level when the tank contains 21 gallons of gasoline

11 DETAILS Find the volume of each pyramid b c 5 ft 10 in 6 4 m 14 in B in3 6 ft ft3 9 ft B 75 m 3 15 in 54

An adult blue whale weighs 220 000 pounds An adult African Elephant weighs 5 5 tons How many times greater is the weight of the adult blue whale than the weight of the adult African elephant times greater

Need Help DETAILS Read It LARMPMT1 11 1 032 qt MY NOTES The figure below shows a human heart at rest During intense exercise the human heart may pump 27 liters of blood per minute How much more blood in quarts does a human heart pump per minute during intense exercise than at rest Round your answer to the nearest whole number Pumps 5 quarts of blood per minute ASK YOUR TEACHER

O In Oln 12x CT Single logarithm Simplify any polynomials In 243x20 In 256x24 5 4 5 3 20x it present In 125x 3

Solve for x 7 6x 4 193x 6 x 8 Round to three decimal places

Classify the following function y 5 6 O Exponential growth O Exponential decay O Linear O Quadratic O None of the above

Solve for x by rewriting in exponential form log 27 x 2 4

a If 20 liters of water are added what is the percent of salt in the new mixture

nd two real numbers between 2 and 2x that determine each of the points on the unit circle given to the right e two real numbers that determine M are

Write the equation of the new function g x if f x if transformed as described 5 f x is shifted 11 units up and 6 units right 6 f x is reflected over the x axis shifted 8 units left and 9 units down g x g x

13 Which of the equations is represented by the graph 5x x 4 a f x b f x 5x 9 d f x 5x3 10 x 4 c f x 52 x 5 x 4

How many liters of water must be added to make a 1 salt mixture use 1 not 01

11 A scientist creates a solution of salt and water The function f x salt in the new mixture when x liters of water are added Decimal form of percents are not needed in this 120 x 10 represents the percent of problem

Identify the vertical and horizon tal asymptotes of each rational function Show your wo 2x 3 7 f x x 11x 24 Vertical Asymptote 4x x 6 8 f x x 8x 15 Vertical Asymptote

12 The graph of which equation below has a horizontal asymptote of y 3 x 3 x 1 d y a y b y x 2 3x c y 1 3x 2 x 1 3x 2 3x

Graph the functions below and identify the transformations asymptotes domain and range y 3 h x 2 x 6 Transformations Vertical Asymptote Horizontal Asymptote Domain Range

Complete the table and graph the functions List the asymptotes domain 1 f x x X y Name the asymptotes Domain Range

2 Complete the table below for g x 1 X 2 3 4 6 8

Ex 2 Graph g x Vertical Asymptote Horizontal Asymptote Domain 2x 1 x 2 Range

Rational functions can be written f x P where P x and Q x are polynomials and Q x 0 P x x 1 Ex 1 Find the vertical asymptotes of g x x x 6

A chair and end table together cost 660 The chair costs twice as much as the table How much is the chair

Data File Available Download Scatter xlsx The following 20 observations are for two quantitative variables x and y Observation 40 0 20 1 40 2 3 4 5 6 7 8 9 10 40 30 20 22 10 33 49 2 13 0 y 29 16 13 22 23 8 21 28 10 10 27 35 14 5 3 3 20 Observation 30 11 40 12 13 14 15 16 17 18 19 20 a Develop a scatter diagram for the relationship between x and y y 60 40 20 0 20 X 40 37 48 34 9 33 20 3 y 29 7 18 31 16 15 18 14 12 17 20 11 22 40 30 20 10 0 10 20 30 40 60 40 20 0 20 40 b What is the relationship if any between x and y There is no relationship between x and y o There is a positive relationship between x and y because y decreases as x increases There is a negative relationship between x and y because y decreases as x increases There is a positive relationship between x and y because y increases as x increases Tation alationship between y and y because y increases as x increases Than 40 30 20 10 0 10 20 30 40 40 20 20 40 40 30 20 10 0

2 2 25 X2 3 5 1

The graph illustrates the distribution of test scores taken by College Algebra students The maximum possible score on the test was 140 while the mean score was 77 and the standard deviation was 15 34 13 5 2 35 0 15 32 47 77 62 Distribution of Test Scores 92 107 122 What is the approximate percentage of students who scored between 77 and 92 on the test What is the approximate percentage of students who scored between 77 and 122 on the test What is the approximate percentage of students who scored higher than 107 on the test What is the approximate percentage students who scored between 62 and 92 on the test loc

The scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 25 What test score is 1 3 standard deviations below the mean