Complex numbers Questions and Answers

The degree of a polynomial determines A the y intercept B if the end behavior is up or down the number of turning points the maximum number of x intercepts

Graficul func iei R R f x x trece prin punctul abscisa 1 21 Afla i ordonata acestui punct

Write an exponential model given the two points 8 120 and 9 230 C The model is y Use integers or decimals for any numbers in the expression Round to three decimal places as needed

Jae invested 3 500 at a rate of 2 25 compounded continuously in 2010 How much will be in the account in 2025 How much interest will the account have earned by 2025 There will be in the account in 2025 Round to the nearest cent as needed

What if Paisley s store was a rectangle with the same dimensions How would that change the amount of carpet she needs O The amount of carpet she would need would increase O The amount of carpet she would need would decrease O The amount of carpet she would need would stay the same

According to the Fundamental Theorem of Algebra how many roots exist for the polynomial function f x 8x7 x x 6 7 roots 8 roots 3 roots

If a polynomial function f x has roots 8 1 and 6i what must also be a root of f x 6 61 6

Which polynomial function could be represented by the graph below 884 to 6 geg do br f x x 6x 8 f x x 6x 8 f x 3x 18x 24 8 X

3 How would you split the polynomial 6 18 18 6 18 S

onvert to exponential form logo 2

Convert to logarithmic form z 101 log

Convert to exponential form log169 13

9 How did Henry Ford ensure that the Model T dominated the sutomobile industry in the early 20th century A Ford bought out the rival Detroit Automotive to limit competition B Ford offered a variety of paint colors and other cosmetic options Ford created the Model T as the most techically advanced automibile on the market Ford made the Model T inexpensive so most all Americans could afford one

8 We therefore formulate and for ourselves adopt the following pledge asking our sisters and brothers of a common danger and a common hope to make common cause with us in working its reasonable and helpful precepts principles into the practice of everyday life I hereby solemnly promise God helping me to abstain from all distilled fermented and malt liquors including wine beer and cider and to employ all proper means to discourage the use of and traffic in the same National Woman s Christian Temperance Union 1908 adapted According to the passage what did the people believe who adopted this pledge Religion had no place in antional politics B Alcohol consumption was damaging to socieyu C Congress should repeal Prohibition D Only the government can solve social problems

7 How did the development of radio contribute to a national American identity Americans began to develop a shared culture across state and regional lines B Television became the centerpiece of the average American living room C Blacks and whites saw their racial divide disappear thanks to mutual interests National celebrities and sports figures became well known throughout the country

The average daily maximum temperature for Shane s hometown can be modeled by the function f x 12 2 cos 54 9 where f x is the temperature in F and x is the month x 0 corresponds to January What is the average daily maximum temperature in March Round to the nearest tenth of a degree if needed Use 3 14 for T Enter your answer in the box

Convert to logarithmic form z 101 log

Simplify the expression m 15 M 7 Om 0200 Previous 15 m 2 NIHI m 1 5

Solve 625 m 1252m 2 m 514

Which graph represents the function f x 2 12 4 3 2 5 4 3 2 1 O 2 3 31 3 2 10 2 3 2 3 4 5 5 4 3 21 12345 O 15 2 5 4 3 2 1 2 3 34 4 3 2 1 2 3 4 5 2 X 5 4 3 2 1 1 2 3 4 5

03 07 MG If a new boat was purchased for 45 000 and the value of the boat decays continuously at a rate of 8 per year what is the value of the boat after 7 years Use the formula A t cet 25 704 41

A bacteria culture begins with 4 bacteria which double in size every hour How many bacteria exist in the culture after 8 hours 128 256 1 024

Joseph and Devan were 230 miles apart Joseph started toward their meetin place at 1 00 p m traveling at 35 mph Devan left at 3 00 p m and traveled mph faster than Joseph When did they meet stance textime 75 en clark 4mp ter than Lewis How fast djd each paddle and reached the lake at 10 00 a the lake at the same time Clark pad time distemed she X 24 hiz 3x 30 far did each person in 24 travel 30 35x SX X 4x 8 4 4 2

14 Crossout Why did Huey Long object to the New Deal He though the New Deal did not do enough to help American workers He felt the New Deal did not do enough to help African American workers He thought the New Deal was too radical He felt the New Deal was overstepping the governments authority

3 Use the picture to address the questions Which of the following contributed to the increasing amount of scenes such as the one in the photograph A widespread unemployment B westward migration C skyrocketing home prices D US involvement in WW2

Fesolv SSAKING Which of the following correctly deonstrates the message of this cartoon A While not all New Deal programs were successful FDR continued to try new programs to help Americans B FDR s New Deal programs were being ruled unconstitutional by the Supreme Court The New Deal was extremelly successful at solving the problems of the Great Depression D The probelms of the Great Depression were e made worse by the actions of FDR

2 Graph the system of equations shown below and then list your solution as an ordered pair 8 7 6 5 4 3 2 8 7 8 5 4 3 2 1 1 2 3 1 5 6 Y 67 7 8 1 2 3 5 B 7 8 X y 3x 2 y 8 2x

the function below Be sure to scale your graph and clearly state and label the amplitude midline maximum minimum period and scale y 2 sin x 1 Amp 2 ML ty 2 Graph the function below Be sure to scale your graph and clearly state and label the amplitude midline maximum minimum period and scale y 3 cos 4x 1 Amp 3 ML HORONITORY

Rewrite in simplest radical form 516 1 X6 Show each step of your process

x 3 x 2 6x 7 x 2 x 1

17 1 point Mark is investing 47 000 in an account paying 5 26 interest compounded continuously What will Mark s account balance be in 17 years 114 925 39 114 925 46 114 921 47 114 932 80

5 1 point Solve each equation Round to the nearest ten thousandth logg 2x15 3 512 263 5 248 5 507

21 TIME REMAINING 01 53 46 Which of the following scenarios exhibits a function relation Take the first set listed to be the domain of the relation O the set of tree heights and the set of trees in a forest O the set of car make and models and the set of people in a certain town O the set of birthdays and the set of students in a class O the set of people with Social Security cards and the set of Social Security numbers

According to the Fundamental Theorem of Algebra how many roots exist for the polynomial function 9x 7 4x 1 3x 4 0 1 root 9 roots 3 roots 4 roots

Can the polynomial have exactly 0 real roots Use the Fundamental Theorem of Algebra and the Complex Conjugates Theorem x5 9x 17x x 20 yes no

A sinusoidal function has a frequency of a maximum value of 12 a minimum value of 6 and a y intercept of 3 67 Which function could be the function described Of x 3 sin 9 Of x 3 sin 6 x 9 O f x 9 sin 3 Of x 9 sin 6 x 3

A cosine function has a period of 5 a maximum value of 20 and a minimum value of 0 The function is not a reflection of its parent function over the x axis Which function could be the function described Of x 10 cos x 10 Of x 10 cos 5x 10 Of x 10 cos 5x 10 O f x 10 cos x 10

Which function is the inverse of f x 2x 3 O 05 x 1 2 x 1 0 0 x 2x 3 Of x 2x 3

3 y 1 1

G 2 1 D If point C is rotated 180 degrees counter clockwise around the origin what is the resulting point Point D Point A Point F

AV What criteria can be used to prove these two triangles congruent ASA SSA SAS HL

Each of Jimmy s kittens weighs less than 10 7 ounces at birth If k represents the weight of a kitten would the following inequality be true or false regarding this situation 10 7 k O True O False

Which of the following is a solution to the inequality 3 5y 21 09 06

Small moving containers can hold no more than 25 pounds If w represents the weight of the container which inequality shows the weight that a small moving container can hold w 25 Ow 25 w 25 Ow 25

1 point The mean of a set of normally distributed data is 600 with a standard deviation of 20 What percent of the data is between 580 and 620 50 34 68 95

3 1 point What is the interquartile range of the data set 456 234 567 123 345 567 890 567 234 277 5 289 5 567 Previou

7 1 point What is the median of the stem and leaf plot shown Stem Leaf 3 4566 4 5688 5 234 6 0234 52 48 46

17 1 point What is the sample in the following scenario Mrs Doe wants to determine if Coca Cola really fills its cans with 12 ounces of Coca Cola She randomly selects 100 cans of Coca Cola and measures the number of ounces in each can She finds the average of the 100 cans of Coca Cola to be 12 01 ounces 12 ounces in a can of Coca Cola 12 01 ounces in a can of Coca Cola All cans of Coca Cola 100 cans of Coca Cola 000 0 Next

3 3 4 5 6 7 18 15 1 point Which data is quantitative Ethnicity Length of employment Type of Pets owned Rent or own home Previous

10 1 point The total area under the normal distribution curve is equal to a probability of 99 8 Can t tell because it is infinite O O 0 100