Quadratic equations Questions and Answers

Write the function shown in the graph to the right Write the function that describes the graph above y Simplify your answer OU

An acorn falls from the branch of a tree to the ground 25 feet below The distance S that the acorn is from the ground as it falls is represented by the equation S t 16t2 25 where t is the number of seconds For which interval of time is the acorn moving through the air 4 01

Which quadratic inequality does the graph below represent 6 54 3 2 1 1 2 3 4 5 6 x 7 Oy22x 8x 3 Oy 2x 8x 3 y 2x 8x 3 y22x 8x 3

3 The quadratic equation 6x 45x 24 has multiple correct factors Which set of factors below is NOT a possible answer Support your answer with an explanation and or work shown a 3x 24 2x 1 3 x 8 2x 1 c 6x 3 x 8 3x 8 2x 1 1

2 1 Write 73 without exponents

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