Complex numbers Questions and Answers

Identify all of the real cube roots of 343

Chapter 6 Group Worki 6 Part 1 of 3 1 25 points Problem 6 24A Algo Petty cash fu The following information applies to the Austin Company established a petty cas custodian Mack had vouchers for the fo Stamps Miscellaneous items Employee supper money Taxi fare Window washing service

A location on earth has latitude 25 N Find its distance from the equator and from the North Pole in km

Express each of the following projective transformations as a composition of translation scalings and inversions 1 3x 7 for each of them a f x Find the inverse transformation b f x 3x 1 2x 5

Which graph represents the function O Y y 5 143

Question Find the value of the ordinary an m which is the same as the freq amount 500 quarterly 6 eigi

Question 1 12 5 points Which of the choices below is an asymptote of the equation 2 3 1 O y 2 y 1 O x 0 x 2

If f x and g x are inverses why is f g x x Because any value of x will make both equations true Because f x and g x have corresponding operations that are inverses of each other which cancels each operation out Because any value of x will result in reciprocals Because they are both symmetric about the line x axis

8 Compare the following functions f x Domain Range x intercepts y intercept g x 3 3 f x Domain Range x intercept y intercept g x

Consider the following equation Which of the below shows the correct initial substitution into the quadratic formula O 3 3 4 4 2 X 2 2 O 3 3 4 4 2 2 4 O x 2 2 4 4 3 2 4 4x 3x 2 0 O 3 4 4 3 2 2 4

8 5i 8 5i 8i 5 8i 5 nplex Conjugate of

The perimeter of a rectangle with a length of 2y 3 units and a width of 3y 1 units can be represented by 5y 2 units 6y 2 units 10y 4 units 6y 3 units K 2y 3

Divide using Synthetic division 2x 3x 9 x 3 2x 3 2x 6 2x 3 2x 6

Use Long Division to divide 15 10 6 29x 2 by 3 8 52 102 4x 10 O 1 52 102 4x 1 31 8 5z 30z 18x 36

Which polynomial would be classified as a cubic trinomial 5x 4x O 3x 2x 8 5x 4x 2 7x 3x

Find the multiplier for 21 6 decay O 21 6 1 216 78 4 0 784

Question 4 14 3 points A culture of bacteria triples by the end of each hour If there were initially 40 bacteria in a culture how many bacteria should there be after 3 hours O 1 728 000 bacteria O 1080 bacteria O 120 bacteria

18x 0 6x a actoring m10 ns hs of polynomials Cercises 35 42 simplify the expression See Example 5 81y8 36 8w 40 nials k16 16z6 rcises 43 48 perform the indicated operation and wri itive See Example 6

Let f x 2 1 5 5 x 6 Use logarithmic differentiation to determine the derivative x

16 Simplify the following expression 1 i 2 i 3 i

6 Solve the following triangle 11 c 15 35 You must include diagrams of your solution s for full credit

Igebra 2 J 1 Factor out a monomial NMZ Factor out the greatest common factor If polynomial 3k 3 3k 2

Quadratic Functions K You have 750 feet of fencing to enclose a rectan will maximize the area What is the largest area

rk HW 3 1 ist Quadratic Functions K 70 its height f x in feet can be modeled by where x is the shot s horizontal distance in fee Use this model to solve parts a through c a the graph

HW 3 1 Quadratic Functions t K A food truck gyro vendor ha a Let x represent the numb variable costs

The graph of the function f x is given below 6 2 2 2 10 9 8 7 6 5 3 2 6543 2 1 12345 2 3 0 2 4 6 f x 40 4 5 2 m 9 10 10 points Graph 2f x 4 Make a good scale and neat graph Label important point

Consider the function f x 2x a b C 16x 3 Determine without graphing whether the function has a minimum value or a maximum value Find the minimum or maximum value and determine where it occurs Identify the function s domain and its range a The function has a value

Consider the function f x 2x 8x 6 a Determine without graphing whether the function has a minimum value or a maximum value b Find the minimum or maximum value and determine where it occurs c Identify the function s domain and its range a The function has a minimum value b The minimum maximum value is It occurs at x

w many machines will be needed to complete a task in 3 days given that it takes 9 days for 4 machines to complete the same task machines 8 08

If the image above is rotated about the y axis which of the following images best represents the result OA Z B W C X D Y W X X Y N Z

19 Factor 56a 8a C A A 8a 56a 8a 8a 7a a 20 45x y z 15x y z 10x y4 C 1 What is the perimeter 2 Wha 5x y 9xyz 5x 3x 2xy 5xyz 9xy 3xy 2xy B D B D 3x 2x 5 3 What is the perimeter 8a 7a 1 8a 35a a 5x y 9y z 3z 2y 5x y z 5 3x 2x y

A B Solve the probl 1 Teddy makes 32 fluid ounces of hot cocoa He po The amount of hot cocoa in each cup will fall between which two amounts B A 2 Pierce swims 10 laps in a pool in 8 minutes He spent the same amount of time on each lap How much time did each lap take him A 3 and 4 fluid ounces B 4 and 5 fluid ounces C 5 and 6 fluid ounces D 6 and 7 fluid ounces 83 38 13 13 10 8 10 10 C minutes 8 D 1 minutes 3 Dani needs 8 equal sections from a board that is 13 meters long Which expression represents the largest possible length of 1 section of the board in meters minute minute 8 13 5 cups

Given tan A and that angle A is in Quadrant I find the exact value of cos A in simplest radical form using a rational denominator

Dani needs 8 equal sections from a b represents the largest possible lengt A B 8 13 8 13 O

in 6 years to make a down payment on a house How much money should she nded annually in order to meet her goal

6 A C 3x 1 C 7 A 3x x x 8x 5 2x 10x 8 4x x x 2x 5x 1 3x 3x What is the perimeter of the rectangle Perimeter is the SUM of ALL sides B D B D 2x 16x 10 6x 2 4x 2x 3x 2x

A C A C A C 10 x5 x 6x x 6x5 11 12 A 2x x 2 2x x 10 5x5 2x 6x 5x 2x 6x 8 Identify the degree of the monomial 8a 3 A polynomial that has two terms is a polynomial A T C binomial B D x 2 B X 10 7x5 6x D 5x5 6x anog orlia jedw 191201794 B 1 D 11 B monomial

A C 3 5x 2 4x 5 C A 9x 7 A C 7x 7x 5x 4 4a 8a 4a 7a 7 6a 5 5x A C 9x 7 11a 4a 14a 7 5a 4a2 20a 7 5r 3 47 62 1 9r r 5 9r r 4 71 8 B D B D B D B 5x 2x 2 5x 6x 8 D 9x 11 X 7 What is the perimeter of the triangle shown malo Perimeter is the SUM of ALL sides 5a 4a2 14a 7 5a 9a 20a 7 9r4 r 4 9r r 4

Use the graphs to evaluate the composite functions below Remember t x 9 0 6 7 8 1 2 3 45 f x A fog 9 B gof 1 8 3 7619 5 2 4 g x 7 2 3 15 68 4 9 0

verity the identity 1 cos2x sin 2x cot x Use the appropriate double angle formulas to rewrite the numerator and denominator of the expression on the right For til term in the denominator when it is simplified 1 cos2x 1 sin 2x Simplify the numerator Enter the denominator found in the previous step The expression from the previous step then simplifies to cot x using what OA Even Odd Identity B Quotient Identity OC Pythagorean Identity OD Reciprocal Identity

6 5 4 3 2 1 8 7 6 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 6 7 8 Identify the function whose graph appears above as f x a tan b x or f x a cot b x

3 Problem Suppose that sina for an angle a in quadrant I and that cos 3 for an angle quadrant III a Find the exact values of cos a and sin 8 b Find the exact value of sin a B c Find the exact value of cos a B d Find the exact value of tan a 3

won and enter the solution in set notation 4y 9 5 0

For each of the following functions i Determine its concavity up or down ii the maximum or minimum value iii the quadrant in which the maximum or minimum occurs and iv the intervals of increase decrease a h x x 2 b g x x 2x 8 c f x x 2 d d x 3x 4x 7

Find all points of intersection of the given curves Assume 0 0 2x and r 2 0 Order your answers from smallest largest 8 If an intersection occurs at the pole enter POLE in the first answer blank r 1 cos 0 r 1 sin 0 r 0 r 0

Find the value or values of c that satisfy the equation f b f a b a f c in the conclusion of the Mean Value Theorem for the function and interval f x In x 1 2 6 O ce 5 br 5 Inv5 1 Oct 1 Oca 1 Ins 4 5 In 4 41

15 of 15 Simplify c 5c 14 c 3c 10 1 c 7 c 7 5 1 c 2 c 8c 15 c 2c 15 G O

For the following game a 12 pts Find the rationalizable strategy profiles b 12 pts Find the pure strategy Nash equilibria U M D L 8 9 4 6 10 3 C 10 2 16 8 8 0 R 6 7 6 5 12 6

Let a 3 12 and b 4 9 Find 3a 7b

Unit 4b Test Rational Functions 6 of 15 Simplify T 1 7 r 2 T 2 Or 1 2 4 r71 2 2 r 2 r 2 r 1 r 2 r 1