Algebra Questions

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

h t 4 9t 8t 5 represents Jeremiah s height h in meters above the water t seconds after he leaves the diving board Match each statement on the left with its correct answer based on this situation The initial height of the diving board in meters The time when Jeremiah reached his maximum height in seconds Jeremiah s maximum height in meters Length of time Jeremiah was in the air in seconds

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

x 1 2 X Type a response Solve each equation and check your solution 130 1

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

Here is a table and a graph that show the number of coffee shops worldwide that the company Coffee Brew had in its first 10 years between 1987 and 1997 The growth in the number of Poimebige eritio enthe growth in the number of stores was roughly exponential F number of coffee shops 1 000 500 5 years since 1987 V signes 10 Snch Cup 193 year 1987 1988 1989 1990 1991 1992 1993 36 stres 1994 1995 1996 1997 Part I Find the average rate of change for each period of time Show your reasoning 1987 and 1990 1987 and 1993 number of stores wom 17 33 55 84 116 165 272 425 677 1015 1412 36 Stors 1987 and 1997 126 41795 Make some observations about the rates of change you calculated by comparing each period of time

67 5 53 4 5 Yan t The Answer is 2 27 Yan t The Answer is 5 12 5

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

1600 b 9 in 5 2 in mm in 6 in

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

The sporting equipment has been sorted into baseballs and bats The number of baseballs is four less than three times the number of bats The equipment is 80 baseballs Choose the equation that best represents this scenario O X 3x 4 X 3x 4 X 3x 4 80 20 20 80 80 100 20

What are the domain and range of the function f x OD X E R x 4 R y R y 0 OD x R x 4 R y e R y 2 E OD x R x 4 R y e R y 2 OD x ER x 2 R y R y 0 E x 6x 8 x 4

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

Identify the restrictions on the domain of f x Ox 5 Ox 5 Ox 2 X 5 X 2

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

The swimming team has competed in 45 races this season They have won 30 races so far How many races will the team need to win today for the team to have a 75 success rate 8 O 10 012

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

An aerosol can weighs about 9 ounces Find the weight in grams XO

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 17 86 SP times greater

Proportions can be used to convert units For example to convert 250 centimeters to meters you set up the proportion 1 m xm 100 cm 250 cm Use proportions as described above to convert each of the following If necessary round your answers to one decimal place a Convert 14 feet to inches in b Convert 14 feet to yards yd Need Help Read It

ZOBLEM 4 Find values 3p lim qn 1 39n qn 4p lim q 1 ng 2 9 2qx q x x q 3p lim arctg 7

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

The prism has a volume of 1368 cubic centimeters Find the height h h cm h 8cm 9 cm

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

The figure below shows a human heart at rest During intense exercise the human heart may pump 27 liters of blood per minute How mu more blood in quarts does a human heart pump per minute during intense exercise than at rest Round your answer to the nearest whol number qt m Pumps 5 quarts of blood per minute

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

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

Calculate the distance between the following lines 1 2r y 3z 1 x 2y z 2 x 1 7 y Z 2 5 3

Find the perimeter of each polygon a 11 in b 43 in 4 8 m 36 in 23 in Jin 4 4 m 38m 4 m 3 m E

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

O Select the sketch of the net of the regular pyramid 6 ft 6 ft 6 ft 4 5 ft 4 5 ft 5 ft 4 5 ft 5 ft 4 5 ft 5 ft 6 ft 4 5 ft

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

The horizontal and vertical distance between 2 dots is 1 unit Find the area of the trapezoid by using a formula and then by counting the number of square units units2 Explain how you counted the number of square units

net of the cube Then use the net to find the surface area of the cube m

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

Sketch a net of each regular pyramid Then use the net to find the surface area of the pyramid a b 20 mm 9 in 5 2 in mm in 30 mm 6 in