Sequences & Series Questions and Answers

DRAWING CONCLUSIONS Hang time is the time you are suspended in the air during a jump Your hang time t in seconds is given by the function t 0 5 h where h is the height in feet of the jump Suppose a kangaroo and a snowboarder jump with the hang times shown k a Find the heights that the snowboarder and the kangaroo jump Round your answer to the nearest tenth The snowboarder jumps about feet and the kangaroo jumps about feet b Double the hang times of the snowboarder and the kangaroo and calculate the corresponding heights of the each jump Round your answer to the nearest tenth The snowboarder jumps about feet and the kangaroo jumps about feet c When the hang time doubles does the height of the jump double Explain because when the hang time doubles the height by a factor of

Question 5 4 points Sketch the following piecewise function and analyze the continuity at critical f x x 2 2x 1 x 0 x points 2 02

What are the features of the function f x 2 log3 x 5 graphed below 12 11 10 9 8 7 6 5 3 2 12 11 10 9 8 7 6 5 4 3 2 1 S 2 3 1005 op 4 5 6 7 8 9 10 11 12 2345 7 8 9 10 11 12 function with a vertical and it is The function f x is a logarithmic of v The range of the function is its domain of The end behavior on the LEFT side is as asymptote on and the end behavior on the RIGHT side is

10 The principle of legally obligates all parties of a contract to act honestly and not mislead or withhold critical information from one another A Good Judgement B Good Faith C Good Taste D Utmost Good Judgement E Utmost Good Faith F Utmost Good Taste

4 The First category of coverage automatically provided for a newl acquired auto includes A Personal Injury Protection B Underinsured Motorist Coverage C Medical Payments D B Conly E A Conly F All of the above

Let f x x 2x 15 and g x x 3 Find the following All final answers must be simplified 15 3 117 9 0 16 f g x

a The cost of first class postage stamp was 4c in 1965 and 40 in 2010 This increase represents exponential growth Write the function S for the cost of a stamp t years after 196 t 0 b What was the growth rate in the cost c Predict the cost of a first class postage stamp in 2015 2018 and 2021 d The Forever Stamp is always valid as first class postage on standard envelopes weighing 1 ounce or less regardless of any subsequent increases in the first class rate An advertising firm spent 4000 on 10 000 first class postage stamps in 2009 Knowing it will need 10 000 first class stamps in each of the years 2010 2022 it decides at the beginning of 2010 to try to save money by spending 4000 on 10 000 Forever Stamps but also buying enough of the stamps to cover the years 2011 through 2022 Assuming there is a postage increase in each of the years 2015 2018 and 2021 to the cost predicted in part c how much money will the firm save by buying the stamps a Choose the correct answer below A S t 0 0540 OB S t 0 054 OC S t 40 05 OD S t 4

Mr Anderson put 1000 into an account that earns 4 5 annual interest The interest is compounded annually and there are no withdrawals How much money will be in the account at the end of 30 years Round to the nearest cent There will be in the account

Without graphing determine whether the equation represents exponential growth or decay Then find the y intercept Choose all that apply y 2 9 10 Select one or more a y intercept is 2 b exponential growth c y intercept is 9 10 d y intercept is 1 e exponential decay

A phone company changes for service according to the formula C 24 005 where is the number of minutes talked and is the monthly charge in dollars The slope in this equation is The slope s units are OMinutes per Dollar ODollars OMinutes ODollars per Minute The vertical intercept in this equation is coordinate vahe only

10 5 10 8 6 4 2 24 4 8 10 5 10 Write the equation of the blue line shown on the graph

ombinations of Functions f x g x Question 15 2 6 77 Part 2 of 2 Express the given function h as a composition of two functions f and g so that h x fog x where one of the functions is x h x x 8 Simplify your answer Simplify your answer HW Scor Point

binations of Functions Part 1 of 2 O Point Express the given function h as a composition of two functions f and g so that h x fog x where one of the functions is 7x h x 7x 1 8 f x

For f x x 5 and g x x 9 find the following functions a fog x b gof x c fog 2 d gof 2 a fog x x 18x 86 Simplify your answer 4 b gof x x 10x 16 Simplify your answer c fog 2

1 2 3 m p 3 22 d b d 2 5 3 2 b d w 3 2 43 b 2

4 3 2 1 1 6 5 1 0 a Identify the following key features from the graph X x 2x 3 complete the a Graph the function y table of values and identify the key features 21 12 1 5 0 3 y 4 3 O Feature I can identify the vertex x intercepts y intercept line of symmetry intervals of increasing and decreasing maximum minimum domain and range of a quadratic function Vertex y x 2x 3 y x 2x 13 9 x 2x 1 1 13 y x 1 44 y 4 x11 Description 1 9 x Intercept s 4 2 y intercept 8 Domain Range 9 8 LEVEL 3 6 where x x 1 Y Y Y X 6 6543240 5 4 3 2 1 1 120 0 8 IC 24 I can graph given an equation I can sketch a graph given a description I can use interval notation correctly Vertex Feature x intercept s y intercept Line of symmetry Max or Min Domain Range Interval of increasing Interval of decreasing Description 14 3 x 1 x 1 function has Maximum value 0 1 1 00 of the

a Solve for the x and y in the given triangle to nearest tenth 90 14 16 4 25 x 14 cos 26 15 4 y 14 tan 25 6 5 cos 25 14 X X 14 cos 25 15 4 tan Bu 14 x tan 250 6 5 tan bb h 36 2 24603677 h 35 found in part a find the sine and tangent of the referenced angle Write the ratio as a fraction h 2 24663677 35 78 611287 h 78 6 feet sin 25 65 154 B cos 25 LEVEL 3 I can set up trig equations to solve for missing side lengths and angles I can solve for the variables in my trig equations I can sketch and label diagrams correctly to represent the problems tan 25 I can round correctly a There is a support wire anchored to the ground 35 feet away from the base of a radio tower The wire makes a 66 angle with the ground and is fastened to the top of the tower To the nearest tenth of a foot how tall is the tower Sketch a diagram write an equation and solve The height of the tower h 140 154 65 140 1660 35 feet 4 7125 their ival of the The tower 15 78 6 feet tall

a x 3 b c d 3 6 x 2 x 3 5 2 3x 1 X 6 2x 4 6x 8 2 2 5x X 2 2x 11 3 4

9 Hailey has 42 to spend on souvenirs for her friends She would like to buy each of her friends a keychain that costs 6 The inequality 6k 42 represents the number of keychains k she could buy What is the greatest number of keychains Hailey can buy Example 3 11 Jessica has 32 to buy movie tickets for herself and her friends that cost 5 each The inequality 32 5t represents the number of tickets t she could buy What is the greatest number of tickets Jessica can buy Example 3 10 Zacharias wants to download some songs through an app on his phone Each song costs 2 to download and he has 12 remaining in his account The inequality 2s 12 represents the number of songs s he could download What is the greatest number of songs Zacharias can download Example 3 12 Stanley has 30 to spend on packs of trading cards that cost 3 each The inequality 30 3p represents the number of packs p he can buy Identify all the numbers of packs Stanley can buy 8 packs 11 packs 12 packs 13 packs 9 packs 10 packs

Manita installs a program on her computer After 3 minutes the window shows that the installation is 15 complete Humi installs the same program on a different computer After her computer showed that the installation was 15 complete it took Humi s computer 68 minutes to complete the installation Which computer installs the program faster and how many minutes faster did it install this program

For f x vx w and g x What is fog x fog x x w v 0 find fog x and gof x Then determine whether fog x gof x OFFI

Answer the following based on the polynomial expressio First term degree Second term degree Third term degree Fourth term degree The leading coefficient is coefficient coefficient coefficient 4444 coefficient

Simplify each expression using the properties for expon a z z 8 b w c 7 w c c 2b 8x 3bx 4

Approximate the number using a calculator e1 9 e1 9 22 Round to three decimal places

Solve the following equation log x 3 The solution set is Simplify your answer

Use a calculator to evaluate the expression In 24 In 8 log 24 log 8 www In 24 In 8 log 24 log 8 Do not round until the final answer Then round to three decimal places as neede

Evaluate the expression without using a calculator log71 log 71 Type an integer or a simplified fraction

Determine whether the function given by the table is linear exponential or neither If the function is linear find a linear function that models the data if it is exponential find an exponential function that models the data GEB Select the correct choice below and fill in any answer boxes within your choice O A The function is exponential An exponential function that models the data is f x Simplify your answer OB The function is linear A linear function that models the data is f x Simplify your answer X 1 0 1 23 f x 1 2 4 6 10

Complete the sentence below The domain of the logarithmic function f x log ax is The domain of the logarithmic function f x log ax is

a Solve by taking the square root 3x 108 0 108 108 37 108 0 b Solve using Zero Product Property x 3x 10 0 c Solve by completing the square x 10x 56 0

I can sketch and label diagrams I can round correctly There is a support wire anchored to the ground 35 feet away from the base of a radio tower The vire makes a 66 angle with the ground and is fastened to the top of the tower To the nearest tenth of foot how tall is the tower Sketch a diagram write an equation and solve

Solve the equation e 4x 21 The solution set is Type an integer or a simplified fraction Use

If f 4 3 and f is one to one what is f 3 11

Determine whether the function is one to one CETTE GIIB Is the function one to one OA No because the relation between input and output is not clear from the given function OB Yes because each element in the output corresponds to at least one element in the input OC No because there are two different inputs 20 hours and 35 hours that correspond to the same output 300 Domain 20 Hours 35 Hours 55 Hours 80 Hours Parige 300 450 475

Complete the sentence below If f is a one to one function and f 5 8 then f 8 If f is a one to one function and f 5 8 then f 8

Find functions f and g so that fog H 2 H x x 20 Choose the correct pair of functions O A f x x 20 g x x O C f x x g x x 20 O B f x x O D 2 f x x gr

tive of f x ln g x we apply the power rul

Which equation is represented by the graph 3 2 1 Oy Oy 4 3 2 Oy 2 R 45 23 2 Oy r 3 3 23 23 2 3 x 3 3

Find the slope of the line 3 2 1 5 3 2 1 1 2 3 T 54 1 2 LAX 3

Tracey paid 130 for an item that was originally priced at 390 What percent of the original price did Tracey pay 1 Round your answer to two decimal places

Points possible 1 This is attempt 3 of 3 Score on last attempt 0 Score in gradebook 0 Submit Jump to Answer When you are done click here to see a summary of your scores

ed pair m n is the 6m 5n 14 2m 2n 10 O 4 1 O 11 16 O 1 4 O 16 11

Find the sum of the first 30 terms of the sequence 3 12 21 30 30 W 445 8 03 RIGHT

Each of the ceiling fans has a price of 52 00 The price of curtains for each small window S is 39 50 and the price of curtains for the large window L is twice that for the small window Based on this information which of the following values is closest to the total price Mrs Smith will pay for curtains and ceiling fans O 354 O 262 O 302 341 O 393

X Question 16 ID 509886 MTH ALG1 6 b 1 Which linear equation is equal to 2x 3y 6 X Feedback A y 2x 2 Feedback B y x 2 Feedback C y x 2 Feedback D y 2 Go to Top

14 Find the equation of a line parallel to y x 2 that passes through the point 3 0 A y x 3 C 3x 3y 9 B y x 3 D 3x 3y 6

Find the area of 1 slice Type a response A pizza with a diameter of 24 inches is cut into 18 slice Find the area of 1 slice

Find the exact area of this entir EXACT means leave in terms of and in fractions if necessary 120 3 cm

Use the discriminant to determine the number and type of solutions of the following quadratic equation 4x 5x 3 0 Select the correct answer below O There are two distinct rational solutions O There are two distinct irrational solutions There are two complex solutions

4 Investing can pay long term benefits List the long term benefits that investing might have in your personal life