Sequences & Series Questions and Answers

d the average rate of change of f x 3x 2 from 2 to 3 from 4 to 1

Let n be a positive integer Consider the function f Un Zn defined by f i Prove that f is a bijection

5 The New York Yankees signed a new player for 8 000 000 and his salary goes up by 5 every year Write a function that models his salary every year Determine his salary after 8 years

13 Which coordinate point is in the solution set for the system of inequalities shown in the accompanying graph 1 14 What is the x value of the solution to the system of equations x 2y 5 y 3x 5 4 1 0 1 2 2 2 15 A pizzeria charges 12 for a large pizza and 2 for each additional topping If x represents the number of additional toppings ordered which function could represents the total cost of the pizza 3 1 1 4 3 1 16 Sam s grades on eleven chemistry tests were 90 85 76 63 94 89 81 76 78 69 and 97 Which statement is true about the measures of central tendency 1 1 2 0 3 2 4 I 1 p x 12 2x 2 p x 12x 3 p x 12x 2 4 p x 12 2x 1 mean mode 2 mean median 17 John has four more nickels than dimes in his pocket for a total of 1 25 Which equation could be used to determine the number of dimes x in his pocket 2 2 3 NIW W NW 1 0 10 x 4 0 05 x 1 25 2 0 05 x 4 0 10 x 1 25 3 0 10 4x 0 05 x 1 25 4 0 05 4x 0 10 x 1 25 18 The line represented by the equation 2y 3x 4 has a slope of 3 3 mode median 4 median mean

23 Find the indicated term of each arithmetic sequence a 24th term 5 14 23 32 an a n 1 d b 17th term 1 2 1 7 2 2 2 7

19 Find the range of the function f x 3x 2 if its domains is defined by 1 x 8 1 3 y 24 2 1 y 26 3 1 y 10 4 1 x 26 20 The length of a rectangle is 2 more than 3 times the width How do you express the length 1 in terms of width w 1 1 2 3w 2 w 31 2 3 1 3w 2 4 1 2 3w 21 Solve forx x 2 x 4 1 8 2 13 3 15 4 23

As x i ncreases beyond 25 which function will have the largest

Find an equation that passes through the points 6 2 3 1 2 1 and the origin

Analyze the polynomial function f x x x 5 x 3 using parts a through e a Determine the end behavior of the graph of the function The graph of f behaves like y for large values of x

19 Todd is saving his vacation is save the mone pood to say

ASSESSMENT I 20 Which is equa A 0 46 B 4 06

Write the fraction as a decimal If the decimal is repeating use the horizontal bar button 46 20 O 10

Monday Feb 13 An expression is shown 36 63 Which expression is equivalent to the expression shown C3 12 15 4 9416 9 4 7 12 346 Tuesday Feb 14 Wednesday Feb 15 X 4 53 m 4 1 1 20 Thursday Feb 16 Diana is Catering a party and serves 4 ounce Servings of Chicken to 12 guests and brounce servir of ribs to a guests Did Diana Serve more total oune of Chicken or ribs How much more

Jocelyn is pregnant and needs to eat at least 475 more calories a day than usual When buying groceries one day with a budget of 10 50 for extra food she buys bananas that have 80 calories each and granola bars that have 95 calories each The bananas cost 0 75 each and the granola bars cost 1 75 each Write a system of 2 inequalities to model this situation Use z for the number of bananas and y for the number of granola bars First Inequality Second Inequality 13 12 11 10 Select an answer Solve your system of inequalities by graphing 15 14 9 8 7 6 5 4 3 2 475 Select an answer 10 50

Solve system by graphing 2x 3y 12 ly 2 28 26 24 22 20 18 16 14 12 10 86 284 26 24 22 20 ta 24 124 10 84 64 ri NO 16 18 201 22 244 26 8 10 12 14 16 18 20 22 24 26 28

system by graphing 3x y 9 5x 4y 20 20 18 16 14 12 10 8 6 64 2 20 18 16 14 12 10 8 64 2 2 10 00 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20

Maximize p 5x 4y 3z subject to 10x 10z 100 5y 5z 50 10x 5y 50 x 0 y 0 z 0 p x y z x X X

A pool measuring 20 meters by 28 meters is surrounded by a path of uniform width as shown in the figure If the area of the pool and the path combined is 1584 square meters what is the width of the path 20 28 28 2x 20 2x Th

2 Finding Linear Equations in Context Car rental companies can charge their customers in different ways For the same car Company A charges an initial fee of 43 dollars and an additional 56 dollars a day for unlimited miles Company B charges an initial fee of 62 dollars and no daily fee but charges 0 23 for every mile driven during the rental period Company B also charges per mile A rental driven 40 miles costs 50 dollars and a rental driven 100 miles ride costs 95 a Construct a linear equation for the cost to rent a car as a function of the miles driven or days rented for each company

How many cups of grapefruit juice must be added to 30 cups of a punch that is 5 grapefruit juice to obtain a punch that is 10 grapefruit juice Amount in cups

Assume that the sequence shown below converges and find its limit T 7 7 7 7 7 7 7 7 The sequence converges to lim an n 9

Determine A 9 A if the following statement is true or false regarding s 7 9 11 13 15 17 is 9 A a true or a false statement False

Given the functions f x 2x g x 3x 1 8 h x 4x 5x 2 determine f x h x O 8x 10x 4x O 4x 3x 2 O O O O 4x 5x 2 2x 2x 2 5 11A 6x 2x 8x 10x 2

Given the functions f x 2x g x g h x 4x 5x 2 determine O O O O O x 1 6x 2x x 1 2x 3x 1 3x 1 4x 5x 2 3x 1 2x 3x 1 1 ponto Given the functions f x 2x g x 3x 1 h x 4x 5x 2 determine g h 3 h 2

2 4 2 1 4 6 4 2 O 2 6 1 0 2 4 e 61Y 9 ET 2 44 2 O 2 4 6 C 4 4 2 0 6 0 X 2 4 6 8

Q4 Use induction to prove that 3 5 2 1 for every natural number n

LARCALCET7 7 6 020 Find My My and x y for the laminas of uniform density p bounded by the graphs of the equatio y x y x 0 3 Points 3 DETAILS PREVIOUS ANSWERS

aph the first inequality subject to t 9x 60y 1800 X 0 y 0

Graph the solution set of the inequality w

V Graph the solution set of the inequality wh

4 Factor the following polynomial completely 6r 13x 13x 5 Zero Factor x 1

List the elements of the set HINT See Example 2 Enter your answers as a comma separated list Enter your answers from smallest to largest A n n is a positive integer and 16 n 24

9 The figure on the right is a scaled copy of the fi M N M L H I

1 O D Name two pairs of congruent angles in the figure Justif Name a second pair of congruent angles Choose the co

create an area model to represent 7 3 divided by 3 5

A skull cleaning factory cleans animal skulls of deer buffalo and other types of animals using flesh eating beetles The factory owner started with only 12 adult beetles After 48 days th beetle population grew to 48 adult beetles Assuming uninhibited exponential growth how long did it take before the beetle population was 12 000 booties C It took about days Do not round until the final answer Then found to the nearest whole number as needed

Ned the owner of Ned s Nut Shop sells peanuts for 11 per pound and cashews for 10 per pound Ned wants to create a 20 pound barrel of mixed nuts and sell it for 510 40 pound How many pounds of peanuts and cashows should Ned use Ned should mix pounds of peanuts and pounds of cashews to make 20 pounds of a blend that sells for 10 40 per pound

10 Is this a fu How can we tell if it is or is not a function Type a response

X 0 1 2345 5 f x 3 8 5 12 10 14 Continuing

f x h f x h The expression following function f x 3x 4x 10 The difference quotient is Simplify your answer for h 0 is called the difference quotient Find and simplify the difference quotient for the

15 f x 6 2x 4x 5x In Exercises 16 19 a find all the rea polynomial function b determine the mul zero and the number of turning points of t function and Ic is

A ball is thrown from an initial height of 2 feet with an initial upward velocity of 24 ft s The ball s height h in feet afte t seconds is given by the following h 2 24t 16t Find all values of t for which the ball s height is 6 feet Round your answer s to the nearest hundredth If there is more than one answer use the or button initial height h ground t seconds or X 5

Using the graph below point A is represented by 4

Sketch a graph of f x 5 4 3 2 1 S 4 3 2 1 1 2 3 5 Clear All Draw 1 3 if x 2 x 3 if 2 x 1 if x 1 2 3 4 5 Note Be sure to include closed or open dots as needed for all end poir

Which of the following equations represents a hyperbola Select one a x y 36 b 2 2 1 C Od 4 1 1 4

Question 2 18 points Identify the Local Maximum and Local Minimum coordinates of the function 3 g x 12 x 2 16 O O O O g x 5 4 3 2 1 Local Minimum 1 2 Local Maximum 3 2 Local Minimum 0 2 Local Maximum 4 2 Local Minimum 0 2 Local Maximum 4 4 Local Minimum 1 3 Local Maximum 2 0 9876543 6 5 3 1 in to w is t 2 31 2 3 4 5 6

t seconds is given by the quadratic function h t 16 t 1 122 A When does the ball reach its maximum height B What is that maximum height The ball reaches its maximum height in second s The ball reaches a maximum height of

7 To estimate the width of a river Samuel stood directly opposite a large tree on the opposite bank He then walked 90 feet along the bank and approximated the measure of the angle between his line of sight to the tree and the river s edge to 53 Find the approximate width of the river 07198 O 119 4 O 542 H

1 point For each of the following graph transformations give the x and y coordinates of the point on the new graph which corresponds to the point P 6 8 on the original graph Shift Down by 3 and then Flip Vertically Flip Vertically and then Shift Down by 3 Shrink Horizontally by 9 and then Shift Right by 3 Shift Right by 3 and then Shrink Horizontally by 9

oints DETAILS WANEFM5 6 3 029 ur broker has suggested that you diversify your investment ee good mutual funds six municipal bond funds six stocks a Assuming your portfolio is to contain one of each e choices