Complex numbers Questions and Answers

rounded to two decimal places Use e 2 71828182845905 Answer ex 3 504x 3 If you wish to enter log or In you must use the keypad X 22 K Keyboard Sh

If the original exponential function defined by how would it change if W D 2 were graphed instead The exponential function would be vertically stretched factor 3 translated right 1 and up 2 The exponential function would be vertically compressed factor 1 translated left 1 and down 2 The exponential function would be vertically compressed factor 1 translated right 1 and up 2 The exponential function would be vertically stretched factor 3 translated left 1 and down 2

Find the inverse of the following Oy log x 7 Oy log x 7 Ox b x 7 Oy x 7

Expand the logarithm log O log 4 2log x log3 y 1 3 2x y 2 log3 4 log x log y log 4 2lay

Rewrite the logarithm as an exponential equation 5 1ng 200 O 200 200 X 5 200

e The range of the function 4 Use the leading coefficient test to f x 3x 7 4x 5 2x 3 7

Complete the square for the binomial Then factor the resulting pe x 11x 0121x 11 2 x 2 0 121 x 11x 21 x 2 O 4 121 x 11x 121 x 11

Use the product rule to multiply x 2 x 2 O Vx2 4x 4 O x 4 Ox 4 O 2x

A quadratic function f x has one solution of x 2 What is a possible equation for f x f x

Carefully sketch the set of points in the complex plane defined by z 2 4 i z 2 2i

2 Carefully sketch the set of points in the complex plane defined by z 2 4 i 2 2 2i

Every day Audrey s orange juice stand uses 10 bags of oranges How many days will 1 2 3 bags of oranges last

Identify the center and radius of each 1 x 2 x 1 9 43 3 x 2 3 5 Graph each equation 5 x y 25 A3 2 2 x 4 x 1 1 43 4 x 4 y 2 4 AF

1 Monday morning Michael bought 750 shares of a stock at 26 per share During that work week the stock went up 2 per share on one day and dropped 3 per share on each of the other four days Determine the value of the 750 shares by closing time on Friday Simplify 8 6 2 2 4

Find the first partial derivatives of z y e2x y

A 3 B5 4 Guacamole Dip D 1 Cheese Dip Burrito Enchilada Burrito Enchilada Chicken Beef The tree diagram shows Pam s choices for her appetizer and meal at a restaurant How many choices include chicken Chicken Beef Chicken Beef Chicken Beef

14 There are 21 plates of tomato sandwiches 27 plates of cheese sandwiches and 12 plates of beef sandwiches on a buffet table If a guest randomly picks a single plate what is the probability that he gets tomato or cheese sandwiches A 0 8 B 0 48 0 75 D 0 1 E 0 25

8 At Bay High School 20 0 of all students have a car and an Iphone and 70 0 of all students have a car What is the probability that a student has an Iphone given that they have a car A 14 0 B 99 C 28 5714285714 D 50 0

Solve correct to 2 decimal places MERE GATANEA 2 8 63

1 Question 9 of 26 1 point Question Attempt 1 of 1 2 b Find Siven f x 7x 8 a Find f x h and simplify 3 f x h f x h and simplify 4 5 9 Show Transcribed Text Part 1 of 2 0 0 O O a f x h S X Show Transcribed Text Part 2 of 2 H f x h f x g

Solve the given equation over the real numbers Present your answer as an integer or reduced fraction Do not use decimals If there are more than one solutions separate them by a comma If there is no solution enter DNE 7 2 3 12

Given that k z Evaluate the followings Leave the answer in the simplest fraction or integer If the answer is undefined type DNE k 3 k 2 k 2 3x 2 I 2

Solve each inequality and give your answers in interval notation 7x 3 1 2x 6 7

Identify the x intercepts y intercept and the vertex 10 8 6 4 10 8 6 4 0 2 4 6 8 2 4 6 00 8 10

V Use polynomial long division to rewrite the following fraction in the form q x where d x is the d x denominator of the original fraction q x is the quotient and r x is the remainder Answer 2 Points 15x5 3x4 22x 2x 8x 3x3 2x Keypad Keyboard Shortcuts

ev Step 3 of 3 Identify four ordered pairs on the graph of the function Answer 2 Points 17 72 12 f x 0 16 2x 1 x 16 1 15

Let f x 2x2 3 and g x 3x1 2 determine g g x

Find how much time it takes until a rain forest whose area is reduced by 50 every 14 years reaches one eighth of its starting area The rain forest reaches one eighth of its starting area in years

v 2 Answer 2 Points G x 2x4 6x3 106x 46x 210 O YES O NO has a real zero between 1 anc Keypad Keyboard Shortcuts

rev Step 3 of 4 Find the x intercept s at which fcrosses the axis Express the intercept s as ordered pair s Answer 2 Points Select the number of x intercept s at which f crosses the axis Selecting an option will display any text boxes needed to complete your answer O none 01 02 03 2023 Hawkes Learning 80 888 MacBook Pro 04

AnswerHow to enter your answer opens in new window 2 Points Separate multiple answers with commas 23 Hawkes Learning 80 888 possi of positive and negative real zeros Be sure to includ Number of Positive Real Zeros Number of Negative Real Zeros MacBook Pro 44 11

zv 31 5 where t z 0 represents the number of months since the first stray cat appeared What happens to the stray cat population in the long run Answer 2 Points com Portal Test TestTakeTeste 2 3 80 54 888 The population will tend towards 5 S 6 MacBook Pro 7 as time goes on 11 8 9 O Keyboard S

Suppose that G x log 3 x 16 a What is G 11 What point is on the graph of G b If G x 2 what is x What point is on the graph of G

18 The punty of gold is measured in karats with pure gold being 24 karats Other purities of gold are expressed as proportional parts of pure gold Thus 18 karat gold is 12 24 gold is 24 or 50 pure gold and so on How much 14 karat gold should be mixed with pure gold to obtain 60 grams of 16 karat gold grams of 14 karat gidshat he used or 75 pure gold 12 karat

EXAMPLE S Find the domain and range 18 y 20 4 2 0 0 2 Chapter 9 Quadratic Functions and Equations 19 21 4 2 2 ty 0 0 ty 2 2 4 4 6 X

Solve the given equation Enter your answers as a comma separated list Let be any integer If there is no solution enter NO SOLUTION 2 cos 0 cos 0 1 0

Solve the following inequality Graph the solution set on a number line x 4 x 5 x 9 20 Solve the inequality What is the solution set Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Simplify your answer Type your answer in interval notation Use integers or fractions for any numbers in the expression OB The solution set is the empty set Choose the correct graph below OA O C OE 4 4 2 2 2 0 0 0 2 2 2 4 4 6 6 6 8 8 8 10 10 10 OB D OF 4 4 4 2 2 2 0 0 0 2 2 2 4 6 6 6 Question Viewer 8 8 10 10

Find the coordinates of the vertex for the parabola defined by the given quadratic function f x x 2x 4 The vertex is Tyne an ordered pair

plane rises from take off and flies at an angle of 13 with the horizontal runway When it has gained 500 feel find the distance to the creatoothpa

An arrow is fired into the air with an initial velocity of 128 feet per second The height in feet of the arrow t seconds after it was shot into the air is given by the function h x 16t2 128t Find the maximum height of the arrow OA 64 ft OB 256 ft OC 448 ft OD 768 ft ICCER

The domain of the piecewise function is 00 00 a Graph the function b Use your graph to determine the function s range a Choose the correct graph below 08 10x 12 x x 3 2x 1 if x23 RUD 10 Q b Select the correct choice below and if necessary fill in the answer box es to complete your choice OA The range does not have any isolated values It can be described by Type your answer in interval notation OB The range has at least one isolated value It can be described as the union of the interval s as needed OC The range consists exclusively of one or more isolated values It can be described as Use a comma to separate answers as needed C and the set Use a comma to separate answ

Passing through 3 3 and parallel to line whose equation is y 3x 8 Slope intereept form 27 CGCC PE 201

aded ime Taken 0 35 27 Ava golke Attempt 1 Use the graph of the function f plotted with a solid line to sketch the graph of the given function g g x f x 2 1 M y f x

B trigonometry computer science biology history Are set A and set B equal equivalent both or neither O A Neither OB Equal OC Both OD Equivalent

K Determine 8 12 16 20 Choose the correct answer below O Finite O Infinite

Fill in the blank Two sets that contain the same number of elements are called Two sets that contain the same number of elements are called equal infinite finite 20 dent

47 Convert the equation x 27 to logarithmic form A log 27 3 B x 3 log 27 3 C X 27 D x log 7 3

42 Identify the vertex and the y intercept of the graph of the function y 3 x 2 5 A vertex 2 5 y intercept 7 B vertex 2 5 y intercept 12 C vertex 2 5 y intercept 7 D vertex 2 5 y intercept 9

40 Which of the following is the solution to A 0 3 B 0 3 C 0 0 3 D 0 0 3 x 3 0

43 Write A Y 2x 12x 14 in vertex form 2 x 12 14 By 6 x 9 4 C x 3 14 D Y 2 x 3 4