Sequences & Series Questions and Answers

A bank loaned out 14 000 part of it at the rate of 9 per year and the rest at 19 per year If the interest received in one year totaled 2000 how much was loaned at 9 How much of the 14 000 did the bank loan out at 9

Use long division and synthetic division to see if the factor is a root A is the factor a root B Leave final answer as the sum of the quotient and the remainder Long Division 1 2x 5x 3x 4 divided by X 2 2 4x 3x x 5 x 1 2 Synthetic 1 2x 5x 3x 4 divided by x 2 4x 3x x 5 x 1

Find the the domain of the function f x O 11 U 11 00 O 11 U 11 3 U 3 O 33 U 33 00 O 3 U 3 11 U 11 00 O 0 3 U 3 0 11 I 82 33

Submit test Going into the final exam which will count as two tests Brooke has test scores of 77 80 72 61 and 92 What score does Brooke need on the final in order to have an average score of 80 Brooke needs a score of

68 PL EVEILLARD FRANCHETTE A group of x friends takes a trip to see a concert The group rents a bus for transportation and buys a concert tic for each person The group decides to split the total cost evenly The cost in dollars each person is responsible for paying is represented by the expression shown 185 45x X What does 45 represent in the expression A the cost of one concert ticket B the total cost of the transportation RASKAANA the total cost each person must pay

You place an order for 2 100 units of Good X at a unit price of 58 The supplier offers terms of 1 30 net 35 a 1 How long do you have to pay before the account is overdue a 2 If you take the full period how much should you remit Do not round intermediate calculations and round your answer to the nearest whole number e g 32 b 1 What is the discount being offered Enter your answer as a percent b 2 How quickly must you pay to get the discount b 3 If you do take the discount how much should you remit Do not round intermediate calculations and round your answer to the nearest whole number e g 32 c 1 If you don t take the discount how much interest are you paying implicitly Do not round intermediate calculations and round your answer to the nearest whole number e g 32 c 2 How many days credit are you receiving Do not round intermediate calculations and round your answer to the nearest whole number e g 32 a 1 Number of days a 2 Remittance b 1 Discount rate b 2 Number of days b 3 Remittance c 1 Implicit interest c 2 Days credit days days days

57 BELLARD FRANCHETTE Which binomial is a factor of 100x 49 A 5x 7 10x 7 B 25x 7

Which expressions are equivalent to 0 413 114 10 3 104 4 10 10 10 3

59 The profit in dollars that Laura s store makes from selling T shirts can be modeled by the function p x 8 25x 1253 where x is the number of shirts sold Laura expects that her maximum profits this year from selling T shirts will be approximately 2600 What is the domain of the function Aall integers greater than or equal to 0 and less than 468 Ball integers greater than or equal to 0 and less than 20 197 Call real numbers greater than or equal to 0 and less than 468 Dall real numbers greater than or equal to 0 and less than 20 197

64 Which could be the graph of y x2 2x 8 A 10 6937654321 18 6 x 6 5 4 3 2 10 123456 10 896765 g 72W 6 5 4 3 2 1

FSA Alge Next 11 WEDER Save Pause 43 TWBLARD FRANCHETTE A table with two systems of equations is shown where A B and C are not equal to 0 Equation 1 Equation 2 System 1 x 2y 5 Ax By C System 2 x 2y 5 A 5 x B 10 y C 25 Complete the sentences about System 1 and System 2 Equation 2 of System 2 is found by then adding it to equation 2 of System 1 The solution to System 2 is System 1 is Solution 1 3 System 2 equation 1 of System 1 by

Graph the solution set of the inequality where x x 28

Question How many cubic millimeters a 34 Step X your answer

Question 3 of 34 Step 1 of 2 Consider the following inequality Step 1 of 2 Graph the solution to the given inequality AnswerHow to enter your answer opens in new window 2 Points Pressing the buttons will create an interval with the indicated remove graphed intervals use the Clear button To indicate i

aph the solution set of the inequality where x 7 x 2

25 20 7364 5 31 x 10 5 70 In Exercises 29 38 find the real solution s of the equation Rou if necessary See Example 4 29 x 125 33 5 48 35 26 86 5 6 r6 36 100 27 3

HW for each geometric sequen ower of the common ratio

13xy x 3y 13 f x 3 x 3 1 and g is the inverse of f Find the following The domain of f 3 2 The range of f The endpoint of f 3 1 g The domain of a El The range of g 3 1 3 Name a point on g The range of f 1 2 14 f x 2 x 2 3 and g is the inverse of f Find the following The domain of f The endpoint of f The domain of g The range of g Endpt 3 1 2 Sketch a 3 opens up Name a point on g Switch Domain Range Switch Domain Range xay Switch X4 Hy 3 1 Range 1 00 Domain 3 00

rcises 9 14 describe the transformation off represented by g Then graph each function See Example 2 Reflet xa 9 f x x g x 2x 10 f x x g x 6 11 f x x g x 5x 1 12 f x x g x x 5 13 f x x g x x 4 5 14 f x x g x 3x 4 2 verticke by 1 4 Shift S Units Polynomial Functions

2 10 15 22 5 r 1 5 The 5th term is

In Exercises 31 34 write a rule for g that represents the indicated transformations of the graph of f See Example 5 31 f x x 6 translation 3 units left followed by a reflection in the y axis 32 f x x4 2x 6 vertical stretch by a factor of 2 followed by a translation 4 units right

CChat AND CalcView ample 1 In Exercises 23 28 write a rule for g and then graph each function Describe the graph of g as a transformation of the graph of f See Example 4 23 f x x 1 g x f x 2 24 f x 2x 2x 6 g x f x 25 f x x 3x 2 g x f x 1 3 26 f x x5 2x 3 g x 3f x 1 27 f x x x 1 g x f x 5 28 f x x x 4x 4 g x f 2x 1

Factor using difference of squares pattern 49m 9 9 49 m2 Factor using difference of squares pattern 25b 49 Use a calculator to evaluate the function for the given value of x f x 6x x 8x 20 x 2 Use a calculator to evaluate the function for the given value of x f x x 3x 11x 15 x 6

Question 10 of 60 What is the smallest integer greater than 92 O 11 06 8 09 10

Given the functions f p Find R p f p g p R p Find P p f p g p P n 6 P 7 and g p 12p p 49

Listen Solve the following logarithmic equation 1T 2A logga logs x 6 logg 5x 12 PIL S v

Listen Given the functions f x x 2 and g x x 5x 6 determine h x f t g x simplified expression for ha and state its domain 1K 2A

D Question 6 Describe the right hand and the left hand g x x 4x 6x 1 Because the degree is odd and the leading falls to the right

Listen Show all steps to prove the following 1T 1A GOS 2x 1 2 sin x

D Question 13 Simplify the rational expression synthetic division 0x x 6 x 3x

State the domain of the function f x Domain 3x 6x 2x 6x 20 using interval notation

The following table represents a gr class limit of the 4th class

Question 4 of 7 Step 1 of 1 Identify the population the sample and any population parameters or s A statistics seminar of 350 students is broken down into smaller sections the average time they spent studying per week was 10 1 Answer 2 Points Population 350 students in the seminar Sample 3

DULT A allu D O neither A nor B Question 6 1 point The law that states that every object maintains constant velocity unless acted on by an unbalanced force is O Newton s first law of motion Newton s second law of motion O Newton s third law of motion O Newton s fourth law of motion Question 7 1 point The law that states that the unbalanced force acting on an object equals the object s mass times its acceleration is

Let a represent the first term of a geometric series the common ratio and in the number of terms Write the general summation formula for a geometric series using only the variables n a and r ST A series with infinite terms converges when r 1 and diverges when r 1 Suppose that r 1 Write the summation formula for this infinite geometric series using only the variables r and a Soo UNT to write a subcorint like a tung it gra

Explain how to rewrite the function shown in order to determine the transformation of the parent function Then describe the transformation of the graph compared to the parent function y 3 8x 4

a Find the unit vectors that are parallel to the tangent line to the curve y 2 sin x at the point 1 smaller i component c larger i component b Find the unit vectors that are perpendicular to the tangent line smaller i component 1 3 1 3 2 2 2 2 3 larger i component X Sketch the curve v 2 sin x and the vectors in parts a and b all starting at T T 6

12 2 1 3 32 33 3n 1 3 1 Show Transcribed Text using mathematical induction to prove the formula for every

13 Multiply 235 345

Find a formula for the linear function de

Industry Water Electric Power Agriculture Other Water 100 200 200 500 The output matrix is X Round to two decimal places as needed Industry Electric Power 480 80 160 80 Agriculture Final Demand 120 180 180 120 230 140 500

Use the appropriate regression on the calculator to find the equation of the following functions Round to the nearest thousandth 3 X 3 V 4 5 6 7 4 X 0 2 3 4

Three Sequences Here are the values of the first 5 terms of 3 sequences 90 A 30 40 50 60 70 B 0 5 15 30 50 C 1 2 4 8 16

The number of permutations of 4 items is The number of different sequences of the letters a b c d e is The number of ways of arranging the colors on the flag is

les below represent either a linear function or an exponential function Explain how you arrive sequeur answer Find the equation of the function by using the appropriate arithmetic or geometric sequence formulas above NO regression 2 1 X Y 0 3 1 7 15 4 19 2 X Y 0 6 1 2 3 4 18 54 162 486

8 A ball is dropped from 8 feet When it bounces it rises to 50 of the height from which it was dropped Their data is shown in the table below 0 8 Peak Height a Determine an equation for a function that models this data set Round to the nearest hundredth 1 4 2 2 3 1 b Use your model to predict the height at bounce 9 4 0 5 c Is this an example of exponential growth or decay 5 0 25 6 0 125

The most populous urban area in China is comprised of O Beijing and Macao O Shanghai and Beijing O Hong Kong Shenzhen and Guangzhou

Which of the following is the world s largest body of water that does NOT have access to the ocean O Aral Sea O Lake Baikal O Kara Deniz

What type of government is common in most countries of Central Asia O Democratic O Communist O Libertarian Authoritarian

Which country in East Asia is rapidly ageing and facing population decline Taiwan O South Korea China O Japan E