Complex numbers Questions and Answers

Determine the periodic deposit at the end of every month Rate 7 5 compounded monthly Time 3 years Financial Goal 44 000 Periodic Deposit P 1094 3304 1172 975 4

from the annuity in Q 14 Periodic Deposit 2500 at the end of every three months Rate 4 5 compounded quarterly Time 12 years Value of Annuity A 260 187 37 965 33 735 20 911 nxt A n

Jeans with an original price of 58 are on sale at 15 off What is the sale price of the jeans 66 70 57 13 49 30 8 70

Express 540 as a decimal 0 54 5 4 5 41 54

Express the fraction as a percentage 25 31 3 2 5 80

The box and whisker plot for the average amount of time rounded to the near est minute a group of students spend watching television after they return home from school is shown Time minutes Watching Television 60 80 A 28 70 90 100 What is the IQR of the data set represented by the box and whisker plot

2 On a bookshelf there are 12 cookbooks That is 15 of the books on the shelf How many books are on the shelf A 2 B C 80 D 180

What are the zeros of f x x 5 x 4 x 2 O 5 4 2 05 4 2 O 5 4 2

Determine whether the function shown in the graph is even or odd 2 0 2 2 O The function is even because it is symmetric with respect to the y axis O The function is odd because it is symmetric with respect to the y axis The function is even because it is symmetric with respect to the origin The function is odd because it is symmetric with respect to the origin

How many complex roots does the polynomial equation have 5x 4x 1 0 02 03 4

What is the complete factorization of the polynomial function over the set of complex numbers f x x 4x 4x 16 Enter your answer in the box

How many complex roots does the equation 0 2x 4x x 1 have 02 O 3 04

The supply and demand for a product are given by 2p q 40 and pq 100 15q respectively Find the market equilibrium point q p

Consider the function f x 4x 5x 1 a Find when f x 5 f x 5 when Writing any values as simplified fractions if necessary If there are multiple values separate them with a comma If there are no values input DNE b Use the information from part a to find two points that lie on the graph of f x The two points are Write ordered pairs writing any values as simplified fractions if necessary If there are multiple points separate them with a comma If there are no points input DNE

Exercise 9 4 5 Let X n be a finite set and V a vector space Define the function Set X V R by f x f x Prove that this function is linear L f

For the following polynomial function use the remainder theorem to find f k f x 2x 3x 3 k 3

Divide 2x4 13x 16x 9x 20 X 5 2x4 13x 16x 9x 20 X 5

Solve the system of equations by graphing 2x 8y 50 x y 13 3 2 2 3 1 2 2 1

69

Find the indicated root or state that the expression is not a real number 4 81

Score 2 53 2 16 answered O Question 15 Y Find f for the function f f x 6x 3 AD f x What is the domain of f x Answer in interval notation Hint Look at the range of f x

Score 0 53 0 16 answered Question 5 Given f x 7 4x and g x 2 I find the following a fog x b Domain of fog x in interval notation c gof x d Domain of gof z in interval notation A 2 e

Score 2 53 2 16 answered Question 14 Find the inverse of the given function f x 4x5 2 Question Help Video Post to forum

Question 4 e Given f x swered 2 a fog x b the domain of fog x in interval notation c gof x d the domain of gof x and g x x 2 find the following 2

4 1 Score 2 53 2 16 answered Question 8 For the following exercises use the graph of f shown below 10 9 8 7 6 54 3 2 1 Find f 2 10 9 8 7 6 3 2 5 4 2 23 3 4 SA 8 5 6 10 7 2 3 6 7 8 9 10

Researchers are conducting a study to test the effectiveness of a new medication Subjects are randomly divided into two groups the first group is given the medication and the second group is given a placebo Researchers observe the subjects for two months after which subjects are asked to answer a questionnaire about their response to the drug and any potential side effects that they may have had This is an example of A an experiment B C D a sample survey an observational study a random phenomenon

A student was finding solutions to the equation 4 x 5 0 and wrote down these steps Step 1 x 5 4 2 Step 2 x 5 4 Step 3 x 5 16 Step 4 x 11 Which statement is an accurate interpretation of the student s work A B C D The student found the correct solution to the original equation x 11 x 11 is a solution to the equation in Step 2 but not to the original equation The student made an error in Step 3 The student made an error in Step 1

Simplify A B C y x y x y ri 2

Which expression OOC A B C D is equal to 9x 15 6x 15 9x 9 15 9 15m

Solve for x logg 4 x A B O C 2 3 3 2 C 32 096

Simplify each of the following numbers to the to the polar re i theta form Ther plot the number in the complex plane Thank you a z b C 1 z 1 1 z 1 Z

The graph of f x 30x 27x 9x 6 is given below Use the graph of f to solve the following equation 301 271 9x 6 0 2 VA 0 1

Use synthetic division to verify that 3 and 1 are roots of f x 90x 366x 1008r 264 288 Use the results of synthetic division to find all solutions to 4 90x 366x 1008x 264x 288 0

4 4x 2x 7

New Tab PRIA 131 y 131 Free Grammar Ch P vy x y x 1 y y 18 18 8 a 5 4 3 2 1 b 5 C 4 2 J t 2 3 4 1 5 5 4 3 2 5 4 3 2 1 2 4 S 5 4 2 5 3 2 2

How many minuetes of there in 4 days

1 Find the series radius and interval of convergence for x 2 For what values of x does the serie 10 converge absolutely Conditionally 0

6 cm 2 cm 3 cm 7 m 6m 4 cm Surface Area Find the Area of this Irregular Shape Aaron was plotting the shape of his garden on grid paper While it was an irregular shape it was perfect for his yard Each square on the grid represents 1 square meter What is the area of Aaron garden in square meters

Consider the polynomial function p x 9x 12x 6x 13 2x 13x 10r What is the degree of the polynomial What is the leading coefficient What is the end behavior of the polynomial 07 ORN

2x6y 4 x5y 3

Add or subtract as indicated and simplify the result 5 5 21 y y 4 y 4 5 LO 5 21

Add or subtract as indicated and simplify the result X 4 X 5 2 x 13x 40 2 X 64 X 4 2 x 13x 40 10 BA X 5 2 x 64 11

Find the least common denominator p 1 3p 4 5 5p 16p 16 P 4p LGD and 4 Type your answer in factored form

Find the least common denominator m 9 3m 8 2 m 16m 63 2 m 4m 45 and

Perform the indicated operation and simplify the result 2 x 6x 1 X X 6 2 x 6x 1 X X 6 2 4x 25x 7 X 6 2 4x 25x 7 X 6 Simplify your answer

Find the least common denominator 9 7x x 8 X 5 and

Find the least common denominator x 9 2x 1 x x 72 and 2 x 14x 45

Find the least common denominator of the expressions 2n 5 n 3 n 2n 24 2 n 8n 16 and Step by Step Solution Step 1 Write each denominator as the product of prime factors Begin by factoring the denominator of the first rational expression 2n 5 2n 5 2 7 24

hich expression is equivalent to O 6510 O 650 O 65 125 10

Subtract and simplify the result 6p 7 p 1 2 3p 2p 8 p 4p 4 6p 7 P 1 3p 2p 8 p 4p 4 2