Complex numbers Questions and Answers

Write a conditional statement that the Venn diagran

Find f 1 13 where f is the function f x 4x 3 2x 6 3 Points

Write a conditional statement that the Venn diagram Choose the correct answer below OA If an animal is a bird then the animal is a rob B If an animal is a robin then the animal is not

Question 25 of 25 Suppose there is a strong positive correlation between vand w Which of the following must be true OA When vincreases wtends to decrease OB An increase in v causes w to increase OC An increase in v causes w to decrease D When vincreases w tends to increase

The polar coordinate 3 45 lies in the same location on the polar plane as 3 where 360 0 What is

Listen The graph of f x has the following key features f x 0 when x 4 and 3 x 5 W f x 0 when 4 x 3 and x 5 This means the graph of f x has x intercepts a 4 b 1 O c 3 d 2

10 Use the graphs of f x and g x to find the values f x a 7 4 4 4 4 2 4 Find f g 6 Grade 1 2 4 g 1 4 5 ts f 2 1 20 10 3 pts each g x 104 4 4 2 c Find g f x 3 pts g 4 5 6 4 2 0 2 4 4 4 6 16 b Find g f 5 g f 5 Let f x 2x 1 and g x 4x 5 Fill in the blanks then simplify a Find f g 1 2 pts b Find g f 6 2 pts f 6 2 1 g 40 5 10

The ellipse 1 a zb 0 has foci c 0 where c 2 a 2 b2 and vertices a 0 Select one True False

For the ellipse y 4 9 x 7 25 1 c a2 b2 where c is foci Calculate the value of the foci Select one a 16 Ob 25 C 8

Question 1 18 points Saved Use a graphing calculator to determine which of the following graphs represents the algebraic function f x 4x 5x 8x 1 O 4 3 2 4 3 2 T 7 31 3 2 1 7 y 1 2 3 2 3

Assume the entire graph is shown in the figure below y 3 24 3 The domain is i x i a Estimate the domain Enter the intervals in increasing order x b Estimate the range sxs i

puntea ana follows a path from the line of scrimmage similar to the quadratic equation 1 x 25 30 20 where x is the horizontal distance in yards and y is the height in yards What ordered pair represents the position of the ball at its maximum height O 25 30 O 25 30 O 25 30

Elijah invested 610 in an account paying an interest rate of 4 1 compounded annually Assuming no depositslor withdrawals are made how long would it take the nearest year for the value of the account to reach 900

K Determine if the condition If a figure has four sides

Evaluate dy and Ay for the function below at the indicated values y f x 44 1 2 x 2 dx Ax 0 25 dy

or each of the following surfaces sketch their xz yz and xy traces and then sketch the hole surface a 4x y z 1 b x 2 2 2 c x 1 4 9

By considering total area as the sum of the areas of all of its parts we can determine the area of a figure such as the one shown to the right Find the total area of the figure to the right A Simplify your answer COLL 10 a parallele a triang

5 a Which of the triangles below are similar Explain your reasoning b Determine the length of side DF B A 1 50 in 92 3 25 in 2 75 in 27 1 63 in D E 27 61 G G 1 04 in 88 H 2 38 in 27

In the figures below AGHJ AMNK Find the lengths of the missing sides M G 9 25 in 5 0 cm J 12 5 cm 15 0 cm H

2 In the following table k represents number of items sold M represents profit in dollars a Complete the following table by hand Show the substitution of each number into the equation b Create the table using your calculator Write down what you used for TblStart and ATbl c Graph the data by plotting the points on paper Clearly label and scale your axes d Graph the equation using your calculator Write down what you used for your window Xmin Ymin Ymax Yscl Xmax Xscl k 0 5 10 15 20 25 M 16k 54

Assume lines L and M are parallel Explain why each pair of given angles is equal Use the vocabulary vertical angles corresponding angles and so forth in your explanation a 21 and 24 b 23 and 26 7 1 2 3 4 5 6 8 c 23 and 27 L M d 22 and 27

er Order Thinking Inez bou ge of wrapping paper and 4 W wrapped 4 identical gifts and hows how much did it

How many ways are there of filling in the blanks for a fictitious soccer tournament involving the four teams San Diego State De Paul Colgate and Hofstra X choices 8 San Diego State De Paul

se the Law of Sines to solve for all possible triangles that satisfy the given conditions If an answer does not exist enter DNE Round your answers to one decimal plac elow enter your answers so that B is larger than B a 31 c 46 LA 39 ZB ZC b B EC b O O O

Your broker has suggested that tfolio among tech stocks mun tals She suggests six tech stoc d four precious metals gold si contain five tech stocks three d two precious metals or no in

Decide whether the triangles can be proven congruent by the given postulates or theorem If not state what information is needed 17 AUJH AKHJ by SSS

What is the quotient of 7 2 O 343 07 07 O49

1 point Let be the equivalence relation on Z defined by x y if and only if x y is divisible by 5 How many distinct equivalence classes does define

1 point Let be the equivalence relation on ZZ defined by x y if and only if x y is divisible by 3 Give three examples of elements in the equivalence class of 5 Example 1 Example 2

Find the trig function of each graph Show Transcribed Text 21 A 12 5 NE 12 4 X

4 Given AB CD ABIICD AC DB and EG intersect at F Prove ADFE ABFG Statement 1 ABCD AB 20 AC DBand EG intersect at f 2 ABCD is a parselon 3 AC bects DB 4 DF BF 5 LEED LBFG Reason 1 Given passelogram 2 Diagnols of a porrelogram bisect CEDEZDC 3 t A 5 E A AS B

Simplify 5n4 3 Assume n 0 O O O 1 57 12 5n 1 1257 2 n 125 125 12 n

Find the value of a that makes the statement true 3 3 3 a

What is the product of 44 4 7 4 O 36 O 1 1 1 1

PICTURE FRAME Michelle is purchasing a new picture frame to hang in her bedroom The picture frame is square shaped What is the area of the interior of the picture frame in terms of c and d Write the variables in alphabetical order 5c d

Determine the other factors of P x if one factor is given x 4x 10x 12 x 2 Determine the other factors of P x if one factor is given 2x x 2x 1 x 1

a Find the average rate of change for the number of bacteria from 0 hours to 3 4 hours

The Donaldson Furniture Company produces three types of rocking chairs the children s model the standard model and the executive model Each chair is made in three stages cutting construction and finishing Stage Cutting Construction Finishing Children s Standard Executive 5 hr 4 hr 7 hr 3 hr 2 hr 5 hr 2 hr 2 hr 4 hr The time needed for each stage of each chair is given in the chart During a specific week the company has available a maximum of 134 hours for cutting 82 hours for construction and 66 hours for finishing Determine how many of each type of chair the company should make to be operating at full capacity The number of executive chairs the company should make is

Let f be a differentiable function such that f 1 2 and f What is the x 3arctan x 2 3x 2 value of f 3

8 What are some ways that your client can reduce the cost of premium for teen drivers x A Driver training discounts XB Good student discounts C Good driving habits monitored by telematics D All of the above

A right triangle plate 8 m high and 6 m wide is immersed 2 m below the water as shown in the diagram Determine the force acting on the plate Use p 9810 N m Place your axes at the bottom of the plate 2 m 6 m

15 The portion of a claim that the insured pays before the insurance company pays A Out of pocket expenses B Cost of damage after the liability portion has been determine C The deductible D Property damages

16 What is a factor that impacts auto insurance premiums for everyone ages A Cost B Credit scores C Type of vehicle D All of the above

Question 3 20 points List the possible rational zeros of the function using the Rational Roots Theorem f x x 7x 9 O 1 9 O 1 3 7 9 O 1 7 9 O 1 3 9 Question 4 20 points Find all zeros of the polynomial function P x x 7x O x 49 x 0 x 2 x 7 multiplicity 2 multiplicity 2 Ox 37 x 2 x 7 X 2

Question 2 20 points Factor the following polynomial by grouping 2x 10x 3x 15 Which of the below is a factor of the polynomial O 2x 3 0 x 5 O O x 5 2x 3 Question 3 20 points Factor the following polynomial by grouping x 3x 3x 9 x 4 x 3 3 x 1 x 3 x 3 x 3

Question 7 of 21 19 20 21 22 23 24 25 20 21 22 23 the roster method to write the set A a comma to separate answers as needed

2 pts 2 e e n n 1 n 3 pts W 3 m 2 n 2n n

Suppose A 2i 3 2i 6 2i 1 1 Is z 2i a boundary point of A Justify your answer 1 2 What is the boundary of A Justify your answer 1 3 Is zo 2i a limit point of A Justify your answer 1 4 Is A open closed both or neither Provide reasons for your

5 Find the indicated sum 15 a 4 0 7 1 k 1 14 c 8 0 8 3 k 0 infinity e 4 0 7 1 k 1 25 b 5 0 85 1 k 7 30 d 5 1 1 k k 11 infinity f 3 1 35 k 1 k 4

Sketch the graph of a function that has the following properties f is discontinuous at 3 but continuous from the left at 3 and continuous elswhere