Complex numbers Questions and Answers

When comparing the value 13 to 13 which statement is TRUE O 13 13 O 13 13 O 13 13 O 13 13

74 90 1 01 M n 0

If you reflected the point 3 4 across the x axis what would be the coordinates of the new point The new coordinates would be Select Select Select 3 4 3

A statistics lab required students to draw cards numbered between 1 and 6 and track the results Drawing a number between 1 and 6 xx 1 2 3 4 5 6 Number drawn How many students drew a number greater than 4 students Submit

While working as a summer camp counselor Jessica monitored how many candy necklaces each child made Making candy necklaces 12 x 01 3 x 234 56 Candy necklaces made How many children are there in all children

What is the y coordinate for Point C TYPE THE NUMBER ONLY Ay 6 9 4 2 4 2 0 2 XA 2 AB 6 A 4 C 6

Which quadrant is the point 3 2 located in O Quadrant I O Quadrant II O Quadrant III O Quadrant IV

0 5 y 0 5 0 70 0 5 0 34 0 94 An angle is shown State another angle that has the same cos value but a different sin value 0 5 X Check

y 0 5 Give an example of an angle b with a negative cos value and a sin value that is between 0 5 and 0 9 You can use trial and error here type an angle and see its coordinates 0 5 0 0 5 0 5 X Check

0 5 0 866 y 0 5 0 866 The angle shown in red has the same sin value as sin 60 What is the size of the red angle 0 5 0 5 0 60 0 5 0 5 X Submit

0 5 y 0 34 0 94 0 5 0 70 0 5 0 5 X The angle 70 is shown on the unit circle together with its coordinates State another angle that has the same sin value but a different cos value Check

y 0 5 The angle 310 is shown on the unit circle Which two of the statements below are true Select two statements cos 310 is negative sin 310 is negative 0 5 310 sin 310 is positive 0 5 X cos 310 is positive 0 5 0 643 0 766

What is the value of 9 2x z y if x 4 y 1 and z 3

In Exercises 9 16 find the inverse of the function Then graph the function and its inverse 9 f x 6x 11 f x 2x 5 Example 2 10 f x 3x 12 f x 6x 3 13 f x x 4 14 f x x 1 15 f x x 16 f x x 3 115

Find the indicated side length Round your answer to the nearest tenth 1 Find HK H 103 9 in 51 K HK P

What equation is solved by the graphed systems of equations LT 2 3 1 4 4 7x 3 x 3 7x 3 x 3 7x 3 x 3 7x 3 x 3

Solve the system y 3x 2 and 3y 9x 6 by using graph paper or graphing technology What is the solution to the system No solutions Infinite solutions 3 2

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year Three years ago her collection was worth 600 000 Two years ago the value of the collection was 690 000 and last year the collection wa valued at 793 500 Assume that the rate at which Madame Pickney s art collection s value increase remains the same as it has been for the last three years The value of the art collection can be represented by a geometric sequence The value of the collection three years ago is considered the first term in the sequence What explicit rule can be used to determine the value of her art collection n years after that O a 600 000 1 15 1 a 600 000 1 9 1 O an 600 000 1 1 1 600 000 0 1

Where is the hole for the following function located x 3 f x x 4 x 3 x 3 y 3 x 3 y 3

3 m m 9 What is the solution to the equation m 3 3 m m 9 m 3 m 6 O all real numbers no solution

e e T

8 x 5 2x 7

What is the recursive rule for the sequence 2 7 8 3 13 9 19 5 25 1 O an a 1 5 6 where a 2 7 Oana 1 5 6 where a 2 7 O an an 1 5 6 where a 2 7 anan 1 5 6 where a 2 7

10 What is f g x f x x 2x 3 g x 2x3 4x 4

3 Is the function is even odd or neither How do you know 6 The d The and 2

Which description compares the domains of Function A and Function B correctly Function A f x x Function B 10 8 10 B g x 9 2 2 8 10 40 10 B The domain of both functions is the set of real numbers less than or equal to 0 The domain of Function A is the set of real numbers greater than 0 The domain of Function B is the set of real numbers greater than or equal to 0 The domain of Function A is the set of real numbers greater than 0 The domain of Function B is the set of real numbers less than or equal to 0 The domain of both functions is the set of real numbers greater than or equal to 0

What is the average rate of change from 0 to 2 of the function represented by the graph 3 y 2 1 Enter your answer in the box 2 3

4 Probability Given the following frequency table answer the following questions Left hand 71 Male Female 7 Total 18 Right hand 3 Total 14 19 26 22 40 a How many variables does the table have b Are the variables categorical or quantitative c What percent of all students are females d What percent of students are males with right hand

The table shows the values of a function f z What is the average rate of change of f a from 1 to 1 H f x 3 3 2 1 1 3 0 11 1 27 2 59

Let f z z 4 What is the average rate of change of f x from 8 to 14 Round your answer to the nearest hundredth 5 16 O 0 19 0 0 19 05 16

y 2x 2 1 y x 1 54 2 3 4 x A 3 2 C 2 3 B 2 2 D 2 2

2 y 21 2 A B d 714 246 1 Made with retinitramural graph represents the function A B C D 4 What is the y intercept Type a response

Desiree s Desserts wants to serve a dessert at 0 C A food inspector takes the temperature for two versions of the dessert The first sample is 4 C and the second sample is 2 C Which statement about the two samples is correct O The temperature of the second sample is 2 degrees farther from O than the temperature of the first sample The temperatures of the samples are the same distance from O but in opposite directions O The temperature of the first sample is less than the temperature of the second sample The temperature of the second sample is less than the temperature of the first sample

Use the number line below to answer the question that follows 9 Which of the following has the GREATEST value 0 9 0 4 01 41 01 91 0

How does the graph of g x 2 4 compare to the parent function f x O g x is shifted 2 units to the left and 4 units up from f x O g x is shifted 2 units to the right and 4 units up from f x O g x is shifted 2 units to the right and 4 units down from f x O g x is shifted 2 units to the left and 4 units down from f x

graph represents f x 2 10 10 0 10 5 0 10

What is the horizontal asymptote f x Oy 2 There is no horizontal asymptote y 0 Oy 2

2 g x 2x 4 1 f x x 1 15 h x 5 x 2 2 f x 2 2x 16 f x x 5 2 h x x 1 4

Given the initial and terminal sides find the following 20 A positive angle measure between 0 and 360 A negative angle measure between 360 and 0 The first positive angle measure greater than 360

Match each trigonometric ratio with its reciprocal ratio tan sin Cos POSSIBLE POINTS

A pack of 36 black sharp tip markers costs 34 49 What is the price of one marke 0 96 0 90

Use the formula A Pe to solve 11 IF 5000 is invested in a savings account that pays 7 85 interest compounded continuously how much money wil be in the account after 12 years

12 If 10 000 is invested in a savings account that pays 8 65 interest compounded continuously in how many years will the balance be 250 000 Round to the nearest tenth

HW 2 12 Given the system of equations below would it be better to solve by elimination or substitution explaining why Then solve listing your answer as an ordered pair 2x y 12 2x 4y 30

Solve the equation 4 4 1 n

A parabola has the equation f x x 3 2 4 Complete The first one is done for you 1 What is the horizontal translation 2 What is the vertical translation 3 What is the vertex 3 to the right The following graphs are translations of y x2 Use them for 4 9 The first one is done for you 0 4 What is the horizontal translation 8 0 7 What is the horizontal translation 5 What is the vertical translation 8 What is the vertical translation 6 What is the quadratic equation 9 What is the quadratic equation Graph the following equations for parabolas 10 y x 1 2 2 11 y x 3 2 4 2

Two trains left the station traveling in opposite directions The distance Train A traveled is modeled by the function d t 81t where c represents distance in miles and t represents time in hours Train B traveled a total of 324 miles in 4 hours How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour O The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h O The distance Train A traveled in 1 h is greater than the distance Train B traveled in 1 h O The distance Train A traveled in 1 h is less than the distance Train B traveled in 1 h

2 Solve the equation Write complex solutions in standard form 13x 1 0 13 x 13 x 13 x 13 13 x 13 x 1

EVEN degree polynomials Match the Equations and Statements You ll have 2 stacks of 3 cards f x 6x x 10x ODD degree polynomials f x 3x 6x 7x2 ends of the on face the same on The ends of the function face opposite directions

roblem 1 Complete the missing key features and graph the polynomial TT VE X Function f x 2 x 1 x 3 End Behavior As x co f x As xco f x Roots include multiplicity Value of Leading Coefficient Domain TT VE 10 10 0