Complex numbers Questions and Answers

Use the intermediate value theorem IVT to determine if the polynomial function has a zero between the given values f x 2x3 9x x 20 2 and 2 5 Select Select Yes No h

line with the given slope that passes through the point with the gi slope 5 ordered pair 3 2

Describe the end behavior of the polynomial function c r d Un f x 9x5 3x6 x 2 b Select Select a b

What is the degree of the polynomial that was graphed HINT Use a logical approach when looking at that graph and the type of graph this appears to y 25 4 25 5 X

THE LCD ional expressions Part a Find the Least Common Denominator LCD for the rational expressions You may leave the LCD in a factored form Part b Rewrite each expression as an equivalent rational expression using the LCD 6 p 9p 18 2p and p 9p 18 p 4p 3 Numerator one preview 2p p 4p 3 THE LCD

4 Given g x notation 5 The graphs of two functions are shown Evaluate each function at its given value of x f g 3 a b 2 5 x and h x x 4 find goh x and write its domain in interval 2 c gof 1 d fog 0 101 10 2 5 X

3 2 7 4 6 Let A 6 5 624 1 3 7 5 b second column of AB B 0 7 049 Calculate a first row of AB c first column of

12 Show that the statement is an identity by transforming the left side into the right side Show all work and a reason for each step cos csc 8 tan 8 cot 0 sin 8 Complete the proof below You may not need as many steps as the chart shows 1 2 3 4 5 6 7 Step cos csc 0 tan 8 13a tan 30 cot 1 2 A 75 3 5 6 7 Reason 13 Use the cofunction theorem to fill in the blanks so that each expression is a true statement Copy left side 13b secx csc 14 Convert the angle to radians Give an exact answer using a reduced fractional form of

Listen Show your work and explain how to determine the domain of the function fx loga x 3 1T 2C

The polynomial of x 0 and x L Find a formula for P x

40 Listen x Provide an accurate sketch of the function learly label any all key features and points 2K 2C 3x x 4 Be sure to 3x 7x 4 a

0 4 10 answered stion 4 e domain of function k below Enter your v

Solve method 4x 6 6 use using iteration 10 10

Fully factor the expression f x 2 22 132 14z 24 gi that x 2 is a factor of fix Show your work 2K 2A

Question 8 2 po Abrev Show all work to determine the exact value of sin 7 4 12A

I Solve the following polynomial Inequality Be sure to verify your answer 2K 2A 2x x 2 1 0 3 Listen RA

Felipe has a new aquarium The tank is in the shape of a rectangular prism 3 ft long 2 ft wide and 2 ft deep He plans to raise fish and sell them to a local store The pet store will inspect the aquarium to make sure that the fish are being kept in a healthful environment One of the main concerns is that each fis has enough water Felipe looks up the amount of water needed for the species of fish he plans to raise He finds the answer but it is given in cubic inches a Find the volume of water that the tank holds in cubic inches Use the table of conversion facts as needed in b The particular species Felipe plans to raise requires at least 470 in of water per fish If there is any amount less than this no matter how much less the pet store will not accept Felipe s fish What is the largest whole number of fish that he can keep in the aquarium fish c The pet store will pay 1 89 for each fish If he fully populates his aquarium and sells all the fish how much money will he collect Conversion facts for length 12 inches in 1 foot ft 1 yard yd 1 yard yd 3 feet ft 36 inches in

Ranking Stadium S Full 24 22 26 17 12 14 11 76 79 43 12 56 85 N1 A college football team s last 7 home games are represented in the table above where the attendance at each game measured as of stadium filled is recorde their national ranking Perform linear regression using a calculator to identify the correct equation that best models this data and state the strength Select Select

13 log x 2 15 log 2x 2 6 17 log 5x 62 62 19 log 4x 3 6 4 21 2 log 250x 6 4

TH An equation is shown y x 4 Which statement about the graph of the equation is true The point 0 4 is not a solution B The points 2 0 and 2 0 are the only solutions All of the ordered pairs on the graph are solutions to the equation The x coordinates of all of the solutions of the equation satisfy the inequality x 2

5 pts for each Given the curve represented by r t t 2t Int a Find the curvature of this plane curve at the point 1 2 0

Simplify the complex fraction a 6 7 36 a 56

Simplify the complex fraction 3q P 9 9 8q P

Simplify the complex fraction 11 1 y Y 121 y 1

Simplify the complex fraction 8y y 7 3 5y 35

Simplify the complex fraction 4w r8 28wr 85

ve the problem 13 The number of mosquitoes M x in millions in a certain area depends on the June rainfall x in inches according to the equation M x 9x x2 What rainfall produces the maximum number of mosquitoes

Fragments identify each group of words as a sentence or as a fragment Make the fragments sentences Make them complete sentences 1 The ocean breeze is usually moist 2 The boat with a huge sail 3 The waves were thunderous 4 Surfing all afternoon long 5 We all slept in a popup trailer 6 Unless you put up the umbrella 7 While we were preparing to fry some fish S Under the bridge the fish were gathering 9 Under the tent 10 We were going to the beach to sunbath

According to a study of Western built commercial jets involved in crashes during ten years the percent of airplane crashes that occur at each stage of flight are as follows Phase On ground taxiing During takeoff Climbing to cruise altitude En route Descent and approach Landing 0 76 0 32 0 05 Percent 0 09 S 19 20 If one of the doomed flights during ten years is picked at random what is the probability that it crashed while taxiing on the ground or while en route 14 31 31

Match the following rational expressions to their simplified form 2x 6x 8x 1 2 3 6x 13x 6 6x 7x 3 12x 19x 4 8x10x 3 5 6 7 5x 6xy 20y 9x a b a 2ab b 9a 9b a b 8 9 6x19x 10 2x 5x 7 10x27x 28 2x 7x 5 x 6x 8 6x 5x 1 LLLL 8x 7x 1 4x5x 1 4x 1 10 4x 4x 11 X 2x 3 12 4x 1 7x 4 2x 3 2x 3 x 4 2x 3 2x 2x 3 2x 3 x 4 x 4 2x 3 3x 6x 3x 13x 4 64x 1 13 1 14 15 2x 3 1 x 4 x x 2 2x 2x 3 6x 13x 6 3x 11x 6 5x 1 5x 1 6x13x 5 12x x 1 A B C D E F G H I J 1 3 x 1 2x 3 3x 4 2x 3 L 3x 2 2x 7 5x 4 2x 7 2 5x 1 x 2 3x 1 4x 1 2x 5 x 3 4x x 3 4x K M 3x 7x 5 x 2 x 2 x 1 N 6x 5x 12 2x 2x 3 0 x 4 3x 2x 1 2x 2x 12x 9 3x 2 2x 3 x 3 3x 2 3x 1 3x 20x 7 2x 3 x 4 4x 1 8x 1 VALENCIA COLLEGE

s differences in political ideology by education ability that a randomly selected person from this

point s possible 1 and dividing by 7 so f x Determine whether the following statement makes sense or does not make sense and explain your reasoning A student found the inverse of f x 7x 5 mentally by reversing multiplying by 7 and subtracting 5 to get adding 5 x 5 7 Select the correct choice below and if necessary fill in the answer box to complete your choice Submit test A 1 The statement does not make sense because f reverses the changes produced by f In this case the first operation on x is multiplication and the second is subtraction So first perform subtraction and then multiplication Hence f x Use integers or fractions for any numbers in the expression B The statement makes sense because fundoes the changes produced by f In this case the first operation on x is multiplication and the second subtraction So first undo subtraction then multiplication C The statement does not make sense because f is the reciprocal f Hence f x 1 Use integers or fractions for any numbers in the expression

O Cambodia O Indonesia O Malaysia Thailand

The city state of Singapore is located in which climate zone O Humid subtropical O Complex mountain O Tropical rainy Tropical monsoon

Which of the following places will receive the most orographic rainfall O Mumbai O Islamabad O Karachi

boat race runs along a triangular course marked by buoys A B and C The race starts with the boats headed west for 3600 meters The other two sides of the course lie to he north of the first side and their lengths are 1600 meters and 3300 meters Draw a diagram that gives a visual representation of the problem Then find the bearings for he last two legs of the race Round your answer to one decimal place 23 7 E

P 8 2 56 P 70 1 70 ber of sequences of 2 different digits chosen from 0 6 is 42 above but where the 2 digits are not necessarily different Che Che Che Che

C 8 2 28 C 12 9 220 ber of collections of 2 different stamps 21 chosen from 7 is ber of different 5 card poker hands that ha dealt from a deck of 25 cars is

3 Solve the system by graphing and check 12 y 3x 5

Write a mixed number giving the amount shaded Then write this amount as an improper fraction a Mixed number b Improper fraction 0 8 X 08

What is the most common language family in the five former Soviet republics of Central Asia O Sino Tibetan O Altaic Turkic O Mongolian O Indo European

Central Asia is unique among world regions in that it is O lower in overall average elevation than any other world region O completely landlocked in the core of the largest landmass the largest region of the world by total land area home to more biodiversity than any other world region

Which of the following cities is an UNESCO World Heritage Site O Kashgar O Astana Samarkand

For the following polynomial one f x x4 72x 729 9i is a ze List the remaining zeros other th

A survey asked buyers whether color size or brand influenced their choice of cell phone The results are below 162 said size 85 said brand 169 said color 51 said size and brand 127 said color and size 52 said color and brand 40 said all three 28 said none of these How many buyers were influenced by color and size but not brand How many buyers were not influenced by color How many buyers were surveyed

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Question 1 of 60 Simplify the expression shown below O 32 101 O80 741 80 10 O 32 101 32 741 Next Reset

5 The point A 5 12 lies on the circle whose equation is x y 169 Which of the following would represent the cosine of an angle drawn in standard position whose terminal rays passes through A 1 5 2 5 12 5 3 73 4 12

1 Which of the following is the value of sin 60 3 2 1 2 2 1 1 2 2 Written in exact form cos 135 3 1 1 2 2 2 2 2 3 4 3 3 4 2

oint Solve the following differential equation wer y x C y 4y sin C