Complex numbers Questions and Answers

Show that the function f R R defined via is measurable f x 1 when x EQ 0 when Q

2 of 6 Enlarge shape A by scale factor 2 with centre of enlargement 3 3 What are the coordinates of the vertices of the image

In one week a music store sold 9 guitars for a total of 3611 Electric guitars sold for 479 ear and acoustic guitars sold for 339 each How many of each type of quitar were sold

25 Identify the graph of each equation a 10x 10y 100 0 b 9x y 9 0 c 9x 16y 144

3 The sum of 3 numbers is 105 The 3rd is 11 less than ten times the second Twice the first is 7 more than three times the second Find the numbers

9 Mixture problems a A chemistry lab assistant wants to prepare 10 liters of 48 acid solution In stock he has 80 and 40 acid solutions How many liters of each in stock solution should he mix to prepare a 10 liter mixture Set up a system of equations and solve b How many litters of a solution that contains 15 chemicals must be mixed with 6 litters of solution containing 10 chemicals to make 10 litters of solution containing 12 chemicals

In the following data set what would be considered the outlier 18 18 18 19 19 20 21 21 23 23 24 32 01 5 18 20 5 32

What happens to the standard error as the sample size gets larger It gets larger It gets smaller It stays the same Question 2 25 points What is the critical value z associated with a 99 confidence interval 0 990 1 645 1 960

Question 4 points Using a Standard Normal Distribution what is the area to the left of the z score 2 32 0 0232 0 768 0 8989 22 2 scores 2 32 G

a sec 14 X b tan 57 0 71 Points DETAILS SALGTRIG4 5 2 016 MI Find the side labeled x 20

ction ballot asks voters to select four city commissioners from a group of ten candidate is be done ity commissioners can be selected from a group of ten candidates in different ways

Graph the exponential function y 2 1 Identify the graph of the function y 2 1 O

For the sequence defined by 1 an 1 Find a2 03 a 4 an 3

An arch is in the shape of a parabola It has a span of 112 meters and a maximum height of 8 meters Find the equation of the parabola Determine the distance from the center at which the height is 2 meters Select an answer Select an answer

Find the focus directrix focal diameter vertex and axis of symmetry for the parabola 25 2y x The focus is The directrix is The focal diameter is The vertex is The axis of symmetry is Be sure to enter each answer in the appropriate format Hint What is the appropriate notation for a line or a point

Write the equation of a parabola whose directrix is z 0 25 and has a focus at 0 25 and has a focus at 6 25 2

Find the equation for the parabola that has its focus at The equation is 37 and has directrix I 27 4

Determine each feature of the graph of the given function f x 3x 3x 6 5x2 20x 15 Horizontal Asymptote y Vertical Asymptote x x Intercept 0 y Intercept 0 Hole No horizontal asymptote No vertical asymptote No x intercept No y intercept No hole

Find all y intercepts of the following function Express your answer as a coordinate point in simplest form f x There is one y intercept 5x 6x 1 10x2 2x Submit Answer

Find all horizontal asymptotes of the following function 3x 9 f x 2x222x 48 One Horizont

Fully simplify to one fraction 7 8 52 7 x 9

Perform the operation and express your answer as a single fraction in simplest form 5 1

n R you are given the points 1 A 402 799 and 2 C 713 119 Find points B and D such that ABCD is a square with A and C end points of a diagonal Answer B has coordinates 80 D has coordinates 309 Your last answer was interpreted as follows Your last answer was interpreted as follows 846 218 80 846 309 218 You are free to name either of the points you found B and the other D

Prove or give a counterexample that A x C B x C A B x C

As of 2015 what country was the world s largest consumer of natural gas and nuclear power O India O United States Russia Saudi Arabia

pts 32 Write the equation of the ellipse 16x 25y 64z 200y 64 0 in standard form z h p y k 1 9 Where h k p q Question Help Video

Which tropical bioregion has adapted to rainfall during only part of the year resulting in sparse trees and grasslands O Steppe O Deciduous forest Tropical rainforest

Which of the following statements is TRUE regarding the Columbian Exchange O Amerindian peoples benefited greatly whereas Europeans suffered as a result of it O Domesticated horses sheep and cattle were introduced into Latin America by Europeans O Amerindian people introduced the Spanish to New World crops like grapes and olives Europeans introduced Old World crops like corn and potatoes to Latin America

10 2x24x 1 2 2 2 2 2 Use the discriminant to decide if each of the following quadratic equations has two one or zero different roots 811 2x 1 1 0 C31 4ac tae 16 4x2x1 16 8 13 5x 10 2 4X573 100 2X3 40 T 10m 100 4x5x 100 80 20 14 5x 10x 5 0 Two 17 234 0 GORME 100 1000 10x 1 0 100 5332 CHI 10020 one 100 100 18 x 3x 2 0 TWO TWO si T C one

Draw a circle with an equation of 1 2x y 4y 4 2 5 4 3 2 1 4 3 2 my 1 2 m You can retry this question below 4 54 12 3 tin

E m 3 5 8 3 m 2 Tupo an integer or a fra

Which of the following statements is TRUE about Canada O Ontario has voted two times in the last two decades to secede from Canada O Ontario is the Canadian province with the strongest separatist movement The strongest separatist movement is in British Columbia The political status of Quebec remains a major issue in Canada

What agricultural product is largely responsible for transforming the Plata Basin leading to a loss of biodiversity and increasing greenhouse emissions O Cofee O Soy beans Bananas O Corn

3 Maria solved the equation 7d 56 and found the solution She can check her solution by substituting 7 8 7 8 7d 56 56 56 It checks for d in the original equ

tions by factoring O 7 x 21 1 0 2

Use the following graphs to estimate f g 1 3 3 f g 1 3 3 i f x 8 Round your answer to one decimal place g x 3 3 3 K

18 3 2 Multiply 9 1 2 9 028 4 4 31 1 7 6 8 9 3

pt If A is a 3 x 5 matrix and the sum A B can be computed what is the dimension of B X

1 Graph y 2 Clear All Draw 3 LAS CH ANTITY

Explain why the following equations cannot be rearranged to give a quadratic equation in stan dard form 7 5x 3 x 8 x x 1 6 x 9 x x 1 x 2 1 10 x 2x 2 2 0

Given the system of equat 2x 3y 92 9 1 3z 9 3x y 4z 18 a Determine the type of system O dependent inconsistent b If your answer is dependent in a find the complete solution Write x y as functions of t where z t 4 If your answer is inconsistent write DNE for all three variables 2

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial Then write and factor the trinomial COOLE What is the constant that should be added to the binomial so that it becomes a perfect square trinomial Tyne a simplified fraction Y

Use the elimination method to solve each sys tem of linear equations 1 x y 6 2x y 3 2 2x 3y 6 5x 4y 8 3 y x 4 2y 2x 8 4 x 8 3y x 14 3y 5 2y 4x 3 6y 12x 6 6 2x y 4 4x y 14

Determine if the function is even odd or neither 4 12 19 0 19 14 17 10 0 10 X f x 12 17 4 14

114 Evaluate r x x 7 when x 2 0 and 5 r 2 r 0 r 5

Question 13 1 point Listen The cost of fuel in C dollars is a function of the number of litres L of fuel consumed The cost of fuel is 1 01 per litre The amount of fuel consumed L is a function of the number of hundreds of km K travelled A car consumes 12 4 L per 100 km The equation for the cost of fuel based on the number of hundreds of km travelled is a C K 12 277K b C K 12 4K c C K 1 01K d C K 12 524K

Question 26 1 point E Listen The difference of a cubic function and a quadratic function will be O O a A linear function b A quadratic function c A cubic function d A 5th degree polynomial function Question 27 1 point Listen

Question 3 1 point Listen Find fog 9 for f x 3x 1 and g x log x 1 O a 10 b 4 O c 8 O d 9 Question 4 1 point Listen

Otis Foster purchased a new two door coupe for 23 690 two years ago He drove 19 252 miles last year and kept a record of all auto expenses He estimates the vehicle s present value at 18 320 Determine his cost per mile to operate his vehicle last year Variable Costs Gasoline Oil changes Maintenance cleaning parking 1 26 0 17 0 26 0 19 1834 25 71 85 224 90 278 90 Fixed Costs Insurance license reg loan interest 872 112 50 210 00

ind the exact extreme values of the function f x y 42x 13y 60 ubject to the following constraints y 20 y 16 2 omplete the following fmax at x y at x y