Complex numbers Questions and Answers

AL Function VE End Behavior As x co f x Asx f x Roots include multiplicity Value of Leading Coefficient 1 Domain Range Other f 0 16 Missing key features of the polynomial 40 40 y 20 20 5 0 5

In which 2 boxes would be the value of 140 30 and 125 be placed There should be two boxes checked 1 in the top row and 1 in the bottom row 33x 1 5 25 2 2z

and shown If a function continues use an arrow to show that If it does not use either the applicable open or closed circle to indicate the function stops at that point 1 Given the function f x x 2 3 Say what the parameters changes actually are a h and v and describe how they transform the given function in relation to the parent function 3 points a h Find at least 3 points using the table This is done by choosing input x values and finding the corresponding output f x values Show all your work in how you find each f x value 3 points X f x

The equation y 3 5x2 0 5x 65 models the height of a ball in inches for each bounce What is the best approximation for the height of the ball after the 3rd bounce O 7 in O 14 in 32 in 50 in

For which interval is the function constant O 2 6 0 0 2 0 00 0 O 6 00

1 2 6 5 45 Which number is the location of the Coral Sea 02 03 06 7

Which scenario can be represented by the value 15 OA roller coaster begins at 90 feet above ground level Then it descends 85 feet O Jim s bank charged him 15 for an overdraft fee Then he deposited 30 O An elevator went up 6 floors and down 9 floors On the first play the football team lost 10 yards On the second play the team lost 5 yards

Which of the following points represent positive numbers O a and c O a and b Ob and d a and d a C b 0

f x graph represents the function 6 5 4 3 2 8 7 6 5 4 3 2 11 2 3 4 5 6 2 3 4 5 6 6 5 4 3 2 8 7 6 5 4 3 2 1 1 2 3 4 5 6 234

Enter the equations of the asymptotes for the function f z f z 2 Vertical asymptote

Noelle stands at the edge of a cliff and drops a rock The height of the rock in meters is given by the function f x 4 9x 17 where x is the number of seconds after Noelle releases her rock Cesar who is standing nearby on the ground throws a rock straight up in the air The height of Cesar s rock in meters is given by the function g x 4 92 13z where x is the number of seconds after he releases his rock There is a moment when the rocks are at the same height What is this height Enter your answer rounded to the nearest tenth of a meter in the box

Write the rational expression in factored form by dragging the correct factors in the box provided 7x 56 x2 5x 24 7 1 x 3 x 8 x 6 x 7 8

11 Perform the indicated operations Simplify the answer 5i 125 5 25 25i

15 Perform the operation and write your answer in standard form Explain your process 8 7i

3 Perform the operation and write the result in standard form 19i 1 6i 118 19i 116 19i 115 19i

12 Solve the quadratic equation and express all nonreal complex solutions in terms of i x2 x 8 0 31

10 Perform the indicated operation Write the result in standard form 4 5i 7 i 11 4i 11 4i 11 4i 3 6i

8 Simplify the power of i i 26 1

1 Perform the addition or subtraction and write the result in standard form 7 i 5 5i 13 5i 12 4i 15 7i 16 8i 14 6i

7 Indicate whether the statement is true always sometimes or never When i is raised to an odd power the result is 1 Sometimes Always

5 Write the complex conjugate of the complex number Then multiply the number by its complex conjuga 5 37 5 31 9 5 31 34 5 31 34 5 31 9

2 Perform the addition or subtraction and write the result in standard form 191 15 31 15 22i 15 251 15 22i 15 22i 15 22i

Extend look at the equation What other value of x would make the equation true 2 What value for t below is a solution to the equation 6t2 8t 8 a 0 b 1 c 2 d 3

2 Previous There was a study done on oxygen consumption of snails as a function of pH and the result was a degree 4 polynomial whose graph is shown below 0 101 Oxygen Consumption co hr 0 08 0 06 0 04 0 02 0 00 6 7 8 pH 9 10 Which of the following statements about this function is INCORRECT There is a positive leading coefficient B The degree of the polynomial is even There are two intervals where the function is decreasing At two pH values there is an absolute maximum value

DIG for Victory Producing posters such as this one was part of the United States A B fundraising drive to sell war bonds to citizens rationing program to prevent shortages of goods C volunteering drive to encourage citizens to enlist GROW YOUR OWN EGETABLES se write a justification for your answer explain why you chose the answer that you chose D propaganda campaign to maintain labor productivity

A chemistry lab requires students to identify chemical compounds by using various tests Each student is given samples of three different compounds labeled A B and C Each student is also given a list of six possible compounds If a student does not perform the tests and randomly chooses three from the list what is the probability that he guesses all three correctly

Simplify the expression below 4 5i 2 i A B C D 13 6i 8 52 13 62

The system of equations graphed on the coordinate axes below y 1 2x 2

Question Solve the system by substitution Answer Attempt 1 out of 2 y 6a 2 y 5x

Question Solve the system of equations graphed on the coordinate axes below 1 y 2 3 3 y 2z 1 y3 2x 1 y 1 2x 3

2 26 2y 5x 2y 4 NO 31 0 2 S

Lonioq od ba 28 4 2yoq 4 6x y to solo 4 3 5 2 1 0 2

Factor the common factor out of each expression 1 90n 40n 40n 70n 3 2014 50 2 18x 15 4 8m 8m 20m 24m

Solve each system x y by substitution 5 y 2 y 4x 2

A rabbit farm had 200 rabbits in 2015 The number of rabbits increases by 30 every year In what year would there be 13 308 rabbits You should be able to set up the exponential equation and then solve algebraically DO NOT JUST GUESS AND CHECK

Monica wants to carpet the room shown in the diagram below How many square feet of carpet will she need EXPLAIN your answer and SHOW YOUR WORK HINT Break the figure into shapes you can find the area of Use your formula sheet 24 ft 20 ft 12 ft 12 ft

1 point A grocery store chain has been tracking data on the number of shoppers that use coupons The data shows that 71 of all shoppers use coupons 36 times out of 40 these results were considered accurate to within 3 5 What is the margin of error 0 71 0 29 0 035 0 025

Consider the following histogram in which a student created a histogram about the heights of males in his classroom 5 43 Frequency N 7 69 in Height inches What would be the mean height of the males in the student s classroom 67 in O 67 inches 68 4 inches O68 5 inches 69 inches 68 in 70 in 71 in

Solve log x 2 2 20 100

Solve e2x 40 Round to the thousandths place x 0 801 Ox 3 689 Ox 1 602 x 18411

an analyst researches the relationship between different energy sources in each state for 2014 The data in the table show the number of stater me coal and nuclear power as an energy source

Team Miami Marlins a 65 Ob 72 Ticket Using the information provided find the average cost of a single ticket to see a Miami Marlins Game The Fan Cost Index FCI for a Miami Marlin s game is 341 The FCI include four tickets parking for one vehicle four hot dogs and four soft drinks Oc 85 Parking 25 Hot Dog 8 Soft Drink 6 Miami

Find the value of each trigonometric ratio 17 cos A A C 12 37 19 sin A 21 tan Z X B 35 C 32 40 27 45 Y 36 7 B 24

2 Find the value of y when x 2 in the equation y 2x 3 a 1 c y 2x 3 b y 2x 5 d y 2x 1

Graph the linear function y 3x 2 a The graph of the linear function y 3x 2 is b The graph of the linear function y 3x 2 is a circle a straight line with a y intercept at 0 2 and a slope of 3 c The graph of the linear function y 3x 2 is d The graph of the linear function y 3x 2 is a hyperbola a parabola

Find the inverse of g x 10 7 Type your answer without spaces Use the A symbol if you need to include an exponent

Graph the function g x log3 2 Find the domain range asymptote x intercept and end behavior of the function Domain Range Equation of Asymptote x intercept End Behavior As I 0 y As y Type your answer in interval notation without spaces use inf for infinity For example 2 inf Type your answer in interval notation without spaces use inf for infinity For example 2 inf Type your answer as an equation without spaces Type your answer as a coordinate point without spaces For example 17 6 POSSIBLE POINTS

concerned that the fireworks will explode inside some clouds that are hovering above the area The clouds are hovering between 900 and 1000 feet If the fireworks are launched from a platform 10 feet above the ground at a speed of 255 feet per second how long does it take to get to the clouds O O 5 1 seconds 8 seconds 16 seconds 9 2 seconds none of these choices

Factor each Difference of Squares 7 16x 9

Factor each Long Trinomial 30x 99x 81 19 9p 25p 6