Sequences & Series Questions and Answers

Determine whether the pair of lines is parallel perpendicular or neither 12x 3y 5 4x y 6 Parallel O Perpendicular Neither www

Find the slope and the y intercept of the line 5 f x x Select the correct choice below and if necessary fill in the answer box to complete your choice OA The slope is Simplify your answer Type an integer or a fraction The slone is undefined

Find the slope and y intercept of the following line 9x 5y 18 Find the slope Select the correct choice below and if necessary fill in the answer box to complete your choice OA The slope of the line is Simplify your answer Type an integer or a fraction The slope of the line is undefined

Determine whether the equation y 313 x defines y as a function of x 13 Does the equation y 3 3 x define y as a function of x OA Yes because for any input x the equation yields only one output y O B Yes because any equation in terms of x and y is a function OC No because for any input x the equation yields more than one output y OD No because for any input x the equation yields only one output y

e slope of the line that goes through the given points 3 4 and 18 14 the correct choice below and if necessary fill in the answer box to complete you The slope is m Type an integer or a simplified fraction The slope is undefined

Find the following for the function f x 4x 4x 4 a f 0 e f x b f 3 f f x 2 a f 0 b f 3 c f 3 d f x e f x f f x 2 g f 5x Simplify your answer Simplify your answer Simplify your answer Simplify your answer Simplify your answer Simplify your answer Simplify your answer c f 3 g f 5x d f x h f x h

Find the absolute maximum of f on 9 8 Select the correct choice below and if necessary fill in the answer boxes to complete your choice O A The absolute maximum of f is f Type integers or fractions OB There is no absolute maximum 12 10 6 Ay 12 10 8 6 423 6 10

12 0 77 points References Exercise 2 4A Algo Effect of accounts receiva statements LO 2 1 2 2 2 3 The following events apply to Lewis and Harper a public ac 1 Performed 77 000 of services for clients on account 2 Performed 46 000 of services for cash 3 Incurred 40 000 of other operating expenses on accou 4 Pald 18 000 cash to an employee for salary 5 Collected 60 000 cash from accounts receivable 6 Pald 18 000 cash on accounts payable 7 Pald a 6 000 cash dividend to the stockholders

Use the graph of the parabola to fill in the table 10 a Does the parabola open upward or downward O upward Odownward b Find the coordinates of the vertex vertex c Find the equation of the axis of symmetry equation of axis of symmetry d Find the intercept s For both the x and y intercept s make sure to do the following If there is more than one separate them with commas If there are none select None x intercept s y intercept s

Suppose that the function fis defined for all real numbers as follows f x 1 3 5 0 2 0 5 ifx 2 Find f 5 f 2 and 4 if x 2 6 X 5

8 0 77 points TB MC Qu 02 56 Algo On January 1 Year 2 1 On January 1 Year 2 the Supplies account of Sheldon Comp partial payments totaling 2 100 on those accounts On Dec reported on Sheldon s Year 2 financial statements

10 0 77 points TB MC Qu 02 41 Static Jantzen Company Jantzen Company recorded employee salaries earned t Balance Sheet Assets Liabilities Stockholders Equity R

oots n the 2 is no rs at alue 2 4 X Exercise Set 9 5 Sketch the graphs of the following quadratic equations Be sure to get the point on the graph which gives the top or bottom of the bowl X y x 2x 1 7 1 2 x 2x 2 1 1 y x 2 A y x x 21 roots 1 2 5 y 2x 3x 1 you 0 2 8 6 y 2x 2x 2 A 0 2 y x x 0 1 1 4 2 1 2 14 0 4 24 20 1 1 8 3x A 9 011 5 2 0 12 2x 1 4 X 1 2 1 1 2

Minimize P subject to the given constraints P 8y x constraints x 0 y 0 x 8y8 x y 9

Solve the following inequality algebraically 12

f x 1 Ws x 1 for for Find f 5 x 1 x 4

f x for 3 for Find f 5 x 5 x 5

Write the following absolute value function as a piecewise function f x 6 3x f x for for

ion Hints remaining velocity That is x t fv t dt C where C is an

Exercise 3 Find the domain of the function f and its inverse function f a f x 5 sinx 7 b f x 6 cos 10x c f x cos x 7 7 Exercise 4 Find the exact solution of the equation Without using a calculator a cos x 0

We are standing on the top of a 768 feet tall building and launch a Small object upward The object s vertical position measured in feet after t seconds is h t 16t 32t 768 What is the highest point that the object reaches foot

Your answer is incorrect wiu 5 Your answer is incorrect uw 5 Your answer is incorrect Suppose that the functions and w are defined as follows u x 2x w x 2x 2 Find the following wou 5 104 w 5 202 0 0 6

The function graphed to the right is of the form ya sec bx c or y a csc bx c for some a 0 b 0 Determine the equation of the function CETES

24 In this problem you are given two geometrical shapes and asked to compute the perimeter and area Remember that even though you are given the measurements these are approximate measurements Compute the perimeter of the triangle and square pictured here Round results according to the guidelines Compute the area of the triangle and square pictured here Round results according to the guidelines 317 ft 68 ft 506 ft 208 ft 10 8 51 85 3 56 cm 3 56 cm

The function f x 3 84x 142 27 can be used to predict diamond production For this function x is the number of years after 2017 and f x is the value in billions of dollars of the year s diamond production Use this function to predict diamond production in 2026 The diamond production in 2026 is predicted to be S Type an integer or a decimal billion www

Since y 2x 6 describes a function rewrite the equation using function notation Choose the correct answer OA f x 2y 6 OB f x 2x 6 OC f x 2x 6 OD f x 6x 2

D 500 1 014 2 Example 9 A couple needs to get a loan of 5 0 Option A 24 applied quarte Option B 3 applied every 4

Find the domain and the range of the relation Determine whether the relation is a function 2 5 1 5 2 6 6 8 The domain is Use a comma to separate answers as needed EEN

What is symMNIGLIYE 1 Reflective Symmet Draw in the line that is Syr

can you find an example in the news not one featured in chapter 2 which demonstrates an example of patronage in law enforcement policing probabion parole corrections etc Write a brief summary of the story or incident featured in the news include a link to the story for your classmate and write one question related to the story

Determine whether the function is even odd or neithe f x 3x 4x5 Which term describes the function Choose the correct O A neither OB odd C even

Determine the domain and the range of the given graph of a function 15 110

The perimeter of a rectangular field is 340 yd The length is 10 yd longer than the width Find the dimensions The smaller of the two sides is The larger of the two sides is yd yd

Use the graph to determine the domain and range of the function What is the domain of the function 7 Simplify your answer Type your answer in interval notaion What is the range of the function GOOOD 10 884 104 B 6 ch Ay 4

Two banks are offering different loan opportunities Bank A offers a loan that charges 2 531 interest compounded semi annually Bank B offers a loan that charges 2 5148 interest compounded monthly Determine the APY for each to decide which is offering a better loan Round your answers to 4 decimal places Enter your answers with 4 decimal places using zeros if needed and don t forget to include a percent sign in your answers APY for Bank A APY for Bank B Which bank is offering the better loan Hint Bank A Bank B

In this problem it will be useful to recall the following properties of logarithms log xy log x log y and log x a log x Find the least integer k such that f n is O n for each of the following functions a f n n log 4 b f n 18 28 n8 c f n log n log n n 1 d f n

Find the domain of the expression 16x 25y 2x 8y

A function f is given f x 9 x x 0 a Sketch the graph of f O 30 20 10 20 10 30 10 20 30 y 10 20 30 X 30 2

An Internet bookstore charges 15 shipping for orders under 100 but provides free shipping for orders of 100 or more The cost C of an order is a function of the total price x of the books purchased given by x 15 C x x if x 100 if x 100 Find C 50 C 90 C 100 and C 105 C 50 C 90 C 100 C 105

aph the given functions f and g in the same rectangular coordinate sy escribe how the graph of g is related to the graph of f f x 3x g x 3x 3 Question 12 2 1 41 Part 2 of 2 e the graphing tool to graph the functions w is the graph of g related to the graph of f A The graph of g is the graph of f shifted 3 units vertically up

Find the inverse function of f x 14 x x

Find the infinite sum of the geometric sequence with a 2 r 7 Soo 4 if it exists

Find the value of the summation k 2 k 0

Evaluate the function at the given values of the indepen 5x f x x a f 4 b f 4 c f x a f 4 79 16 1 b f 4 Type an integer or a fraction Simplify yo 79 16 Type an integer or a fraction Simplify c f x Simplify your answer

Given the following points 3 1 and 6 6 Find the following the midpoint the distance between the points is Mun units

Evaluate the function f x 5x a f 5 b f x 3 a f 5 26 Simplify you h 1 x 3 Simplify you

1 to answer Parts A and B nial 2y Then determin 6y 2 7 8y 3 3y nomial

The area of the parallelogram determined by the vector 3 and 13 14 is 5 5 m

Bryce is making 1 2 pound hamburger patties He was able to make 15 1 2 of this size patty Which equation can be used to find how much hamburger meat he started with m

On July 1 2001 a savings account has 1000 This account earns interest at an annual rate of 4 compounded continuously A competing bank is attempting to attract new customers by offering to add 20 immediately to any new account opened with a minimum 1000 deposit and the new account would earn interest at the annual rate of 4 compounded semiannually To choose one of the following three options on July 1 2001 find the accumulated amount July 1 2003 for each option in parts a through c below a Leave the money at the first bank The accumulated amount is Do not round until the final answer Then round to the nearest cent as needed