Sequences & Series Questions and Answers

2y x 5 and 3y x 0 Which graph correctly represents this 3 2 1 2 1 0 3 3 2 5 4 32 2 1 3 2 1 0 2 3 5 4 3 5 3 3 2 1 0 1 2 3 T No W 2 1 0 yaxis 1 2 3 1 2 3 4 1 y axis be axis y axis raxis axis raxis 5

Find the x and y intercepts for the quadratic equation y 3 8x 10x

f x 2x 3 g x 3x 1 Find f g x O 6x 7x 3 6x 3 6x 11x 3 6x 11x 3x

of x It takes 6 boys 15 days to clean a field on a small plot How long will it take 8 boys

C Penelope LOVES Lemon Bars yes that may be a little strange for a penguin Anyway she only has 1 2 cup of flour How many Lemon Bars can she make Lemon Bars

In triangle GHI angle H is a right angle GH 40 and cos G 40 41 Draw a diagram and find each value cos I sec H sin G cot G sin 1 Choose Choose O Choose 0 Choose a Choose O K

Use a linear approximation e linearization to approximate sin 56 Let f 2 sin 2 Find the equation of the line tangent to f x at a nice point near 56 Then use the tangent line to approximate sin 56 sin 56 Hint Convert degrees to radians in your calculations

yerHomework aspx homew casts a shadow Express the lar

taken of a building The photograph is et long How tall is the building

entify the period for the function tan 0

Fill in the missing numbers in the factor tre 2 Is it possible to find the top number using Yes

1 Find the sum 2x 5x 7 3 4x 6x

LESSON 19 SESSION 3 3 Neena and Carissa collect trading cards Neena has 4 packs of castle cards and 5 packs of hero cards Carissa has 6 packs of castle cards and 4 packs of hero cards Each castle pack holds c cards and each end hero pack holds h cards Write an expression with exactly two terms for the total number of cards Neena and Carissa have Show your work SOLUTION 20x spalter bris n to Jooms edi armezeigen 38 niw nola2919xs eritetiwell comsienilise asmen la prili 5mm 1569 aldo 4 Write a whole number in each blank to show an expression that is equi 15x 10 x mvat sill snidoo of yegoig svije syarl fuod ear benidmosed toringo vary 02

23 Suppose the number of employees N r of a start up company is given by 40 30 21 5 where t is the number of months after the company is organized According to the model the company will always have fewer than how many employees A 2 5 B 6 C 20 D 40 N t

0 Jill s investment in a bank account will be worth 3 746 42 in 0 5 years The current value of Jill s account is 3 600 If the bank pays a fixed rate that is compounded continuously what is the value of the account after 5 years A 3 977 29 B 4 411 85 C 4 394 12 D 5 363 42

16 Mark bought a car for 30 000 The value of the car 2 years later was 22 188 Assuming an annual exponential decay rate project the value of the car 8 years from when it was bought Round to the nearest cent penny hundredth A 2 408 80 B 6 639 05 C 8 976 54 m 1213702

Learning Target 5 I can solve an exponential function using logarithms including real world situations 17 Salve 27 5 A 19 B 1 C D 13 18 Gridded Response Solve log4 2x 3 If the coffee is not hot enough it is reheated in a microwave oven The liquid increases in temperature according to the formula C A 21 9t

15 What is the percent increase of the following exponential function A 1 B 25 C 75 D 125

11 Assuming that y is a positive integer evaluate the following expression log 1 A 0 B 1 C 10 1 not enough given information

A flu virus has struck the state of Minnesota On Day 1 the virus started with 2 people and each p that is infected spreads it to 4 people each day How many people become infected on the 8th day A 30 people B 512 people C 32 768 people D 131 072 people

If a ball is dropped from a 12 foot roof and bounces two thirds as high on each successive bounce find the total number of feet the ball will FALL while traveling including all the bounces A 18 B 36 C 60 D Infinity

7 Ryan is a cartoonist He sends 28 comics to the newspaper printer in the 1 week Each week after he sends 3 more comics than the previous week to the newspaper Find the total number of comic strips be has sent after 10 weeks A 55 B 275 C 290 D 415

Determine the quadrant or axis where the terminal side of each angle lies 4 3 radians Choose 5 4 radians Choose y axis x axis radians 6Tt 5 Quadrant III Quadrant II Quadrant IV

X Knock at the Cabin at an AMC TH X mm Co mework aspx homeworkid 30728533 questionid 1

5 The population in a city is modeled by the equation p d 100 000 1 0 3 where d is the number of decades since 1970 Lesson 4 6 a What do the 0 3 and 100 000 mean in this situation b Write an equation for the function f to represent the population y years after 1970 Show your reasoning c Write an equation for the function g to represent the population c centuries after 1970 Show your reasoning 6 The function fis exponential Its graph contains the points 0 5 and 1 5 10 Lesson 4 6 a Find f 3 Explain your reasoning b Use the value of f 3 to find f 1 Explain your reasoning c What is an equation that defines f Select all expressions that are equal to 83 Lesson 3 4 A 8 8 2 B 8 2 E 2 F 4

open box is to be made out of a 10 inch by 20 inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the des Find the dimensions of the resulting box that has the largest volume mensions of the bottom of the box X

7 Solve the Equation 12n 48n n 64 8 Describe the Transformation of f x x4 represented by q x x 3 The Graph of q is a translation Graph the Translation of the Graph of f Units

3 On New Year s Day 2021 your uncle put 3 dollars in his safe for you that he says will grow exponentially until you decide to take it out If you take the money out on New Year s Day 2023 the money will have grown to 18 75 You decide that you will ask for the money on New Year s Day 2031 How much money will you receive X 0 2021 1 2 2023 3 Y 3 00 18 75 HINT the multiplier is a decimal

Question 3 20 points What is the domain and range of the function w x 3 x 6 4 10 8 6 O O O F 2 101 8 5 41 2 AS 7 5 10 2 4 6 8 10 w x domain x2 6 range 24 domain x 24 X domain All Reall Numbers R range All Real Numbers R domain x2 6 range y 4

A group of 2504 students were surveyed about the courses they were taking at their college with the following results 1157 students said they were taking Math 1424 students said they were taking English 1121 students said they were taking Psychology 518 students said they were taking Math and Psychology 649 students said they were taking English and Psychology 672 students said they were taking English and Math 287 students said they were taking all three courses Fill in the following Venn Diagram with the cardinality of each region English IV VII V Psychology VI Math III VIII

6 A line segment of length is scaled by a factor of 1 5 to produce a segment with length m The new segment is then scaled by a factor of 1 5 to give a segment of length n What scale factor takes the segment of length to the segment of length n Explain your reasoning

the height of a machine part should be 13 15 millimeters mm The is within manufacturing tolerance 0 07mm

3 Find a basis for the subspace S pEP R p 1 0 of polynomials of degree 2 or less that evaluate to 0 at x 1

6 2 Assignment K Find a positive ang 3100

10 d out of g question A pharmaceutical company is testin drug is given to 90 volunteers who s volunteers who also suffer from ast improvement in their asthma sympt table below What is the probability symptoms given that he received th Impro1

1 1 1 1 Does the sequence given by 3 927 81 3 converges what is its limit a c 1 3 0 b d K converge or diverge If it 1 3 diverges

phing Transformations of Quadratic Functions The graph f 1 is shown below Let g z be a transformation of f z shifted down 4 and right 1 Draw the graph of g r and write its formula below H 5 4 3 24 7 6 5 4 3 2 1 24 3 4 5 6 1 2 3 4 5 6 7 7 Clear All Draw Write the formula for g x below Be sure to use proper function notation

Determine whether the series converges 1

Find the intersection and the union of the sets A 3 4 6 8 9 and B 1 2 5 7 EXIB OA AnB Use a comma to separate answers as needed B The solution set is Find the union of sets A and B Select the correct choice below and if necessary fill in the answer box to comple your choice A AUB 2 4 6 Use a comma to separate answers as needed OR The solution set is jennife

Match the rational function with the appropriate description The choices in column 2 can only be used once HINT Use any of the techniques you have learned to find out specific information about a rational function COLUMN 1 COLUMN 2 f x f x 2 10 2 2 f x f x 16 4 4x 3 f x 1 f x 3 4 6 A The x intercept is 3 0 B The y intercept is 0 5 C The horizontal asymptote is y 4 D The vertical asymptote is x 1 F The graph has an oblique asymptote G The x axis is its horizontal asymptote and the y axis is not its vertical asymptote H The x axis is its horizontal asymptote and the y axis is its vertical asymptote Select Select A B BUDEFUI G ANSWER CHOICE H E There is a hole in the graph at Select x 4 Select Select Select

Using the Law of Sines to find all triangles if m B 37 b 30 c 41 LC ZA a Case 1 acute p Case 2 obtuse 10 jo If no answer exists enter DNE for all answers in the column Round all answers to the hundredths place Assume LA is opposite side a ZB is opposite side b and ZC is opposite side c

Find the vertical horizontal or oblique asymptote if it exists If there is more than one asymptote separate them using a comma If an asymptote does not exist enter in DNE f x

of linear equation Benjamin s Backpacks can sell backpacks for 3 per backpack drovenue equations

Use the Binomial Theorem and Pascal s Triangle to find the coefficient of x4 in the expansion of 2x 3 6 I

e the graph of y f x to graph the function g x f x 2 y f x Q 4 Q Choose the correct graph of g below O A O C Q Q G OB O D

Complete the expansion of k 8 4 Use before exponents x2 would be written as x 2 Step 1 Determine the binomial coefficients from row 4 of Pascal s Triangle Step 2 Write each a term and each b term in parenthesis after the coefficients 1 k 8 4 k 8 1 k 8 Step 3 Assign exponents Step 4 Simplify each term to each term 4 k 3 8 1 6 k 2 8 2 1 k 8 4 4 1

Describe and correct the error in writing the binomial expansion x 3 x 3x 3x 27 For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragraph Arial X 10pt

5000 is deposited in a savings account that earns interest at an annual rate of 7 5 interest compounded continuously what is the value of the account at the end of five years round to nearest cent

For the graph of a function y f x shown to the right find the absolute maximum and the absolute minimum if they exist Identify any local maxima or local minima vry view way OC There is no local maximum for y f x Select the correct answer below and if necessary fill in the answer boxes to complete your choice OA The local minimum of y f x is f Type integers or simplified fractions OB The local minima of y f x and f Use ascending order with respect to x Type integers or simplified fractions CITE y f x are f are f 0 5 1 1 Submit te 3 7 4 6 G

A linear function is given Complete parts a d h x 4x 5 Click to enlarge graph c Determine the average rate of change of the function The average rate of change is d Determine whether the linear function is increasing decreasing or constant Choose the correct answer below OA constant OB increasing OC decreasing CE b 10 Ay 8 10