Sequences & Series Questions and Answers

Write the system of equations as an augmented matrix 5c 199 35 27 4r 7n 5r 5m 7c 3r 7n 5c 000

Given the matrices A E 24 41 and B A It is Select an answer B If subtraction is possible what is A B 5 4 4 3 to subtract these two matrices

E 9 6 2 10 3 7 9 3 8 5 4 10 1 6 0 4 7 5 8 2 2 E 4 A A 2 8 7 8 10 10 2 5 3 1 3 7 4 5 4 09 9 1 6

Given that f x 4x 4 and g x x 3x 6 find gof 3 gof 3 Simplify your answer

1 Ky th LAX Na 1 N 20 20 O Aurk BAN Pick the two inequalities whose intersection is the region shaded Ox 2y 0 Oy r 3 Oy r 3 x 2y 0 Video

Plot L G N on m 2 Inequality a y 2x 1 b y z 2 c y x 2 d y 2x 1 e x y 2 f x y 2 g 2y z 1

Which ordered pairs are solutions to the inequality 2x 3y 3 0 1 O 1 2 2 3 0 4 1

Is x 9 and y 4 a solution of the following inequalities 7x 9y 3 O Solution Not a solution 7x 9y 3 O Solution O Not a solution 7x 9y 3 O Solution O Not a solution 7x 9y3 Solution Not a solution

Find the solutions to the system of nonlinear equations given by Sy 2x 1 y r 1 100 Enter your answer as a list of ordered pair For example 2 5 5 2

cos 0 tan 0 Show Transcribed Text 2 Trent can deliver his newspapers in 60 minutes It takes Lois 20 minutes to do the same route Hor long would it take them to deliver the newipapers if they work

Noriko is packing 1 centimeter unit cubes into a prism What is the volume of the prism 40 cubic centimeters 80 cubic centimeters 60 cubic centimeters 70 cubic centimeters

Use the elimination method to find all solutions of the system 2 5 x y 1 2 The four solutions of the system are the one with z 0 y 0 is I Y the one with a 0 y 0 is Y the one with a 0 y 0 is T y the one with a 0 y 0 is 7

A chemist has three different acid solutions The first acid solution contains 15 acid the second contains 35 and the third contains 55 They want to use all three solutions to obtain a mixture of 280 liters containing 25 acid using 3 times as much of the 55 solution as the 35 solution How many liters of each solution should be used The chemist should use and liters of 15 solution liters of 55 solution 7 liters of 35 solution

Maricopa s Success scholarship fund receives a gift of 130000 The money is invested in stocks bonds and CDs CDs pay 5 75 interest bonds pay 4 8 interest and stocks pay 7 3 interest Maricopa Success invests 35000 more in bonds than in CDs If the annual income from the investments is 8210 how much was invested in each account Maricopa Success invested Maricopa Success invested Maricopa Success invested Question Help DUNL in stocks in bonds in CDs

A movie theater has a seating capacity of 345 The theater charges 5 00 for children 7 00 for students and 12 00 for adults There are half as many adults as there are children If the total ticket sales was 2502 How many children students and adults attended children attended students attended adults attended Question Help Video

A bank loaned out 14 000 part of it at the rate of 6 annual interest and the rest at 9 annual interest The total interest earned for both loans was 1 125 00 How much was loaned at each rate S S Question Help was loaned at 6 and was loaned at 9 Vidon

The admission fee at an amusement park is 3 00 for children and 5 80 for adults On a certain day 238 people entered the park and the admission fees collected totaled 1022 How many children and how many adults were admitted number of children equals number of adults equals

You need a 70 alcohol solution On hand you have a 25 mL of a 30 alcohol mixture You also have 75 alcohol mixture How much of the 75 mixture will you need to add to obtain the desired solution You will need ml of the 75 colution

Solve the system with the addition method 8x 12y 12x 3y Answer 24 6 Enter your answers as integers or as reduced fraction s in the form A B If there is no solution type in each blank If there are an infinite number of solutions specify their form in the blanks in terms of eg x 2x 3

Solve the following system of equations with the substitution method 10x 2y ly Answer 5z 2 Enter your answers as integers or as reduced fractions in the form A B If there is no solution type DNE each blank If there are an infinite number of solutions specify their ferm in the blanks in terms of x

Find the slope of each linear equation 1 2x 7 Y 4 x y 5 2 3y x 4 5 y 4 5x 3 6 2y 4x 6 2x 2y 4 7 y 7 8 2x 3 9 3x 5 10 3y 12

the slop undefined Therefore there is no slope fc vertical line Exercise Set 8 3 Find the slope of each linear equation 1 2x 7 Y 4 x y 5 2 3y x 4 5 y 4 5x 3 6 2y 4x 6 2x 2y 4

Graph each line 1 2x 3 y 2 x y 2 3 2y x 5 4 3y 2x 6 5 4x y 1

The minimum of the data is The first quartile is The median of the data is The third quartile is The maximum of the data is DONE 4 5 6 7 8 Weight of Female Dogs lb 0 1 3 0 8 1 2 8 3 5

If f x 2x 6x 1and g x 2x 3 Find f g 3 067 35 O 36

The most appropriate measure of center for this data is the DONE 4 5 6 7 8 9 Weight of Male Dogs lb 5 0 2 2 1 5 2 8 8 8

The graph s shape is best described as symmetric skewed peaks and valleys constant Number of States 20 15 10 5 0 Average Yearly Precipitation 50 states 0 9 99 10 19 9 20 29 9 30 39 9 40 49 9 50 59 9 60 69 9 Precipitation in

Listen fg x and gf x are the same function This statement is a always true b always false Oc false for most functions f x and g x d true for most functions f x and g x Question 24 1 point 4 Listen The sum of two linear functions is

Question 12 of 40 Which recursive formula can be used to represent the sequence 2 5 8 11 14 OA B O C O D 8 2 an an 1 8 1 3 8 2 8 8 1 3 a 2 an 8 1 3 0 an an 1 3 SU

A Find the inverse relation 1 2 3 1 5 0 7 1 2 9 11 Match the graph with the graph of its inverse 6 7 B 2 x y ify that f and g are inverse functions f x x 5 g x x 5 f x x g x 2 x 0 1 Use the horizontal line test to determine whether the inverse of f is a function 3 1 2 2 4 5 co 3 1 C 4 0 10 f x 6x g x x 12 f x 2x 1 g x x 1 2 1

Graph of the Week January 130123 Analyze the graphs below and write a reflection on what you think the graph is communicating to you To guide you with your response start with some observations What is the topic of the graph What does the x axis represent What does the y axis represent What are some observations that you can make based on the graph What do you foresee happening in the next 10 years Mass shootings in the US are on the rise Incidents in which four or more people were killed or injured 273 336 383 348 336 417 610 690 647 40 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 data up to 25 January Source Gun Violence Archive BBC Mass shooting with 1 January 2023 19 2022 Mass shootings in the United States a record start in 2023 Since January 1 39 mass shootings have left 70 people dead and 167 injured far more than in previous years in the same period B 20 victims 2021 2020 Is there an upward or downward trend Are there any sudden spikes in the graph What is being compared in the graph What prediction can I make for the future What inferences can I make about the graph 10 15 23 Half Moon Bay California 7 dead 1 injured Monterey Park California 11 dead Injured ZENE

The Heltons are shopping for a new vehicle They are pricing a minivan The base price is listed at 34 500 Factory installed options total 2 645 The destination charge is 525 What is the sticker price O 26 930 00 O O O 37 145 00 37 670 00 32 520 00

Fred and Mary Merrill want to purchase a new car The car has a base price of 26 700 options totaling 3 950 and a destination charge of 825 They read in a consumer magazine that the dealer s cost for the car is 90 of the base price and 87 of the options price What should they estimate as the dealer s cost 3 436 50 O 24 030 00 28 291 50 27 466 50

The Jordans are shopping for a new vehicle They are pricing a 4 door sedan The base price is listed at 27 325 options total 1 565 The destination Factory installed charge is 585 What is the sticker price 27 325 00 28 890 00 29 475 00 26 345 00

Using the graph below to find the best approximation of the solution to the following equation 2x x x 6 2 xw 2 5 or x 2 5 XNO Xx 3 or xw2 XN2 Question 23 3 points Use your TI 83 84 Calculator to graph each side and then use the Intersect command to find a solution to rounded to one decimal place of the following equation In the blank below just put the numeric answer for 3 3 2 g x 2 f x 2x x 6 TI 84 Plus Silver Edition TEXAS INSTRUMENTS

3 6 12 24 48 96 What would be the common ratio of this sequence O 2 3 6 O 0 5 Question 4 3 points Geometric Sequence The value of a precious gold coin is increasing at a rate of 5 per year If the coin is worth 105 today what will it be worth in 11 years Hint The first term of the geometric sequence is 110 25 and the common ratio is 1 05 What is the 11th term 169 79 160 00

Consider the following equation that describes the Volume of a cylinder Wh volume r radius and h height V xr h Rewrite the formula so that is has been solved for the variable r Ora v x h Or V x h V x Or Question 25 3 points The function graphed on the coordinate grid shows f x the height of a dropped ball in feet after its xth bounce On which bounce was the height of the ball approximately 2 feet high bounce 1 Height of Ball feet f x 25 20 15 10 5 2 Number of Bounces

0 17171717 03 O 101 O 99 repeating number as a fraction Question 10 3 points Infinite Geometric Series Find the sum of the infinite geometric series if possible 486 162 54 18 6 03 0 0972

Consider the first six terms of this sequence 2 5 8 11 14 17 What would be the 41st term of this sequence O 43 122 125 Question 2 3 points Arithmetic Sequence Mr Taylor noticed a pattern in the number of people attending Six Flags this summer The pattern seemed to hold for the first several weeks Week x 1 2 3 4 Attendance y 36 000 38 000 40 000 42 000 Write a rule to represent the pattern of his data O 2 431 533 y 2000x 2000x 34000 y y 2000 2

re above shows the plot of the points 1 3 2 4 3 8 5 7 and 8 6 Find a polynomial of degree 4 of the form f x ax bx cr da e whose graph passes through these poi

Use transformations to graph g x Rubric x Clear Undo 1 point for identifying the critical point of the graph 1 point for the correct shape of the graph x Redo x 3 1

Difference Quotient Find f a f a h and the f a h f a h difference quotient 43 f x 5 2x 45 f x 5 47 f x 000 20 where h 0 107 44 f x 3x 2 1 x 1 X boardom x 1 49 f x 3 5x 4x 50 f x 46 f x 48 f x 2x x 1 x ONS

A chain e mail was started in which the first person was asked to send the information to 3 people and in turn each of those recipients were to send it to 3 new people If we let t represent the number of chain letter cycles and E t represents the current number of new recipients then the function E t can be graphed at the right e MAIL Which of the below would be the best description of the range of the function 0 1 2 3 4 5 6 1 2 3 4 5 6 7 3 9 27 81 243 30 20 S EN

The function f x 2x 3 is graphed at the right As x determine f x i e As x approaches infinity what does f x approach Of x 00 Ox x 3 f x 2 81 f x 2 3 2 7 66 1 NY Asymptote y 3 n a

Find the slope intercept form for the line passing through 4 5 and 2 perpendicular to the line passing through and 4 and 3 The slope intercept form for the line passing through 4 5 and 2 perpendicular to the line passing through 5 27 4 7 is y Simplify your answer Use integers or fractions for any numbers in the expression

34 Assume log 2 A log 3 B and log 5 C evaluate a log 50 b log V300

Find a point slope form for the equation of the line satisfying the conditions Passing through 2 3 and 5 4 Use the point 2 3 to find an equation of the line in point slope form y Type an expression using x as the variable Use integers or fractions for any numbers in the expression

c The prism below has bases that are the equilatera triangle shown to the right Fill in the blanks with appropriate expressions to determine the surface area of the prism Then calculate the surface area and round your result appropriately Surface Area 2 area of triangles 3 16 cm rectangle 16 cm 48 cm

2 a Determine the height of the triangle at right b Determine the area of the triangle at right 16 cm 16 cm

Prove that for all n E Z if there exist x y E Z so that n x 2 y 2 then n is even or 4 n 3 Thanks a lot for your time