Complex numbers Questions and Answers

x 2x 15 The solution s is are x Simplify your answer Type an exact answe any numbers in the expression Use a comm

x 3x 2 0 The solution s is are x Simplify your answer Type an exact answer using of i Use a comma to separate answers as needed

1 Determine the HC7 and LCM 07 the following Hoat bcc4 3 90a4b c2 215 3 GO

0 1 2 3 O 12 24 36

5 Use a graph to find a number 8 such that X 8 then tan x 10

Evaluate the number HINT See Quick Examples on pages 430 and 432 C 13 10 2 U www www y www S www

Calculate how many different sequences can be formed that use the letters of the given word Decide where for example all the s s will go rather than what will go in each position Leave your answer as a product of terms of the form C n r Schizophrenia O C 1 13 C 1 12 C 1 11 C 2 9 C 1 7 C 1 6 C 1 5 C 1 4 C 1 3 C 1 2 C 1 1 C 13 1 C 12 1 C 11 2 C 10 1 C 9 1 C 8 1 C 7 1 C 6 1 C 5 1 C 4 1 C 3 1 C 2 1 C 1 1 13 C 13 1 C 12 1 C 11 2 C 9 2 C 7 1 C 6 1 C 5 1 C 4 1 C 3 1 C 2 1 C 1 1 O C 13 9 O C 13 1 C 12 1 C 11 2 C 9 2 C 7 1 C 6 1 C 5 1 C 4 1 C 3 1 C 2 1 C 1 1

Assignment Let f x 4x 3 and g x x 3x 2 Perform the function operation and then find the domain f x g x f x g x Simplify your answer 5

Let f x x and g x x 2 Find fog 5 fog 5 Simplify your answer

Let f x x 1 and g x x 2 Find fog 0 Then fog 0 Simplify your answer

D Question 2 Match the equation with its graph f x x 2x 3 O

Write the equation for the mine described Give answer in standard form Ax By C and y intercept form y mx b Fill in the appropriate box with the correct value m 5 and b 15 1 Ax By C A 2 y mx b m A Write the equation for the mine described Give answer in standard form Ax By C and y intercept form y mx b Fill in the appropriate box with the correct value Through 2 5 having a slope of 4 1 Ax By C 2 y mx b B m b B b

The Chinese government has been accused of manipulating the value of its currency keeping it artificially low in order to give the country an export advantage Some economists feel that the yuan is valued at 20 less than it should be compared to the U S dollar At the exchange rate of one yuan 0 186 dollar a 28 000 car would cost approximately 150 538 in yuan If the exchange rate was adjusted the equation y 4 3 d can be used to convert dollars to yuan How much would that affect the price of that car in China Rounding to the nearest yuan the car would cost yuan less if the exchange rate were adjusted

Find the constant of variation k p varies directly as q and when q is 8 p is 22 k 00

In a physics laboratory a spring is fixed to the ceiling With no weight attached to the end of the spring the spring is said to be in its equilibrium position As weights are applied to the end of the spring the force stretches the spring a distance d from its equilibrium position A student in the laboratory collects the following data Force F lb Distance d cm 3 6 9 12 15 Part 0 2 Part 1 of 2 6 0 12 0 18 0 24 0 30 0 a Based on the data do you suspect a direct relationship between force and distance or an inverse relationship

The total spent y to buy x pizzas at 2 per pizza from a fundraiser can be described by the equation y 2x Use the equation to complete the table of values x 0 10 20 30 y X 3

A house painter charges 47 for a home visit and 40 per room painted Part 0 4 Part 1 of 4 Write a function that describes the cost of hiring the painter in terms of the number of rooms painted Let the function f x represent the painter s charges and the variable x represent the number of rooms

Troy and Lisa were shopping for school supplies Each purchased different quantities of the same notebook and thumb drive Troy bought 14 notebooks and 7 thumb drives for 266 Lisa bought 8 notebooks and 10 thumb drives for 308 Find the cost of each notebook and each thumb drive The cost of each notebook The cost of each thumb drive

8 Sketch each curve using a single transformation of y e and describe the transformation by e t b

Given the equation 3x The slope is The y intercept is 10y 50 Note if the slope is undefined input DNE Write as an ordered pair

Which of the following functions has a graph that is symmetric about the y axis A y x B y x 1 c y x D y x E

The number N of beavers in a given area afer t years can be approximated by the following N 5 5 100 23 Osts9 Use the model to approximate how many years it will take for the beaver population to reach 79 Round your answer to the nearest you years

An image of a rhombus is shown 19 2 cm 20 cm What is the area of the rhombus

4 m O 70 m What is the area of the trapezoid O 38 m 15 m O 35 m 3 m 7 m

If g x 2x 1 and h x 2x 3x 1 what is g x h x 2x 5x 2 2x 5x 4x 3x 1 2x 5x 2 10 pontos If g x 2x 1 and h x 2x 3x 1 what is h x g x 2x x 2 2x x 2x x 2 2x x

3 You buy a car for 15 000 that depreciates 8 yearly Write a function that models the value of the car Find the value of the car after 6 years

5 4 3 2 1 6 5 4 3 2 1 2 3 4 5 6 3 4 5 The function graphed above is Increasing on the interval s 2 u 1 00

17 John has four more nickels than dimes in his pocket for a total of 1 25 Which equation could be used to determine the number of dimes x in his pocket 1 0 10 x 4 0 05 x 1 25 2 0 05 x 4 0 10 x 1 25 3 0 10 4x 0 05 x 1 25 4 0 05 4x 0 10 x 1 25

Marissa and Tori can shovel a driveway together in 22 min If Marissa can shovel the same driveway in 70 minutes by herself how long would it take Tori by her self Type your answer

1 point Consider the planes given by the equations 3y 3z 3 y 2z 7 X 3x a Find a vector parallel to the line of intersection of the planes v b Find the equation of a plane through the origin which is perpendicular to the line of intersection of these planes This plane is

ne x coordinate of the point of maximum curvature call it xo on the curve y 2e x and find the maximum curvature x xo Xo K x

16 In 1927 Charle solo flight acro flew 3 610 mile

Find all real numbers that satisfy the following equation 2 sin 4x 1 Select the correct choice below and if necessary fill in the answer box es within ch your OA OB 1 1 x x kx or x kx where k is any integer Use integers or fractions for any numbers in the expression Use ascending order The solution set is x x The solution set is x x 2ks or x 2kx where k is any integer Use integers or fractions for any numbers in the expression Use ascending order There is no solution

Sketch the graph of the given piecewise defined function y 14 x 1 6 4 intercent 6 4 2 x intercept x y to x v y 6 2 Find any x and y intercepts of the graph x intercept x y 2 2 2 2 4 4 6 6 X smaller x value X larger x value 6 4 6 4 2 4 2 2 2 M 2 4 4 6 6 X X

The expression Aa B 2 C form A B C 6x 13x 5 22 16 where A B and C are integers 3x 1 x 4 can be simplified and written in the

A 30 inch by 25 inch width by length picture is surrounded by a border of uniform width The total area of the picture with the border around it is 1184 in What is the width of the border Hint Draw a diagram of the picture with the border around a rectangle to represent the 30 inch by 25 inch picture and a larger rectangle around it to represent the border and list the inner dimensions the dimensions of the picture only and the outer demensions the dimensions of the picture with the border around it

Solve the quadratic equation by completing the square x 12x 7 0 To complete the square what number should be added to both sides of the equati Type an integer or a simplified fraction

Use the quadratic formula to find the exact solutions of the following equation x x 3 After writing the equation in standard form identify a b and c where a 0

24 Given the point which lines passes perpendicular to 8x 3y 7 Line 2 0

Graph y a 1 y 2x 3 D 7 6 54 3 2 1 B Clear All Draw 71 6 5 4 3 2 C 1 2 3 2 4567 6 7 1 2 3 4 5 6 7 E Which dot s in the graph above is are the solution s to the given sym

Graph y x 1 y x 2 D 7 6 5 4 3 2 Clear All Draw S 74 6 5 3 2 1 11 77 2 ME 7 30 B 123 fic E 56

Graph 7 y 2 2 y 2 3 19 Gr D 4 3 2 1 Clear All Draw N 9 45 JP 23 4 S 6 7 E G 2 3 4 5 6 7 Which dot s in the graph above is are the solution s to the given system of inequalitie CBA E D

4 a Evaluate the following without the use of a calculator sin 1 c tan 3 cos cos b 1 4 cos 1 cot 1 tan tan 57

syst by graphing 42 y 7 y z 10 10 9 8 7 6 S 4 3 9 8 76 54 3 2 1 2 H 2 25 3 75 5 679 7 8 9 S 10 1 2 3 4 5 6 7 8 9 IC

Solve system by graphing y z 4 y 2 4 10 9 287 6 5 4 3 2 10 9 8 7 6 5 4 3 2 1 2 37 5 6 67 7 8 9 10 1 2 3 4 5 6 7 8 9 10

Solve system by graphing y 3z 5 lyzz 4 10 9 486 8 7 65 4 3 2 10 9 8 7 6 5 4 3 2 1 1 vastu NL do 9 10 1 2 3 4 5 6 7 8 9 IC

Solve the quadratic equation by completing the square 10x 6 0 Choose the appropriate process for rearranging the equation if needed before completing the squ equation of the form x k d Type an integer or a simplified fraction OA 10x 6 0 x 10x 6 2 10x 6 OB 10x 6 0 10x 6 x 10 Oc 10x 6 0 11 3 5 10x 6 10x 6 3 OD 10x 6 0 10x 6 x 5

Use a transformation of the graph of y x to graph the function 1 x x 7 Select the graph of f x x 7 OA OB OC Q O D

12 Solve x 7 x 4 28 Type a response 13 Solve x x 8 13 x 8 0 Type a response

Find the amount of money owed at the end of 4 years if 60 000 is borrowed at 5 per year compounded weekly and no payments are made on the loan Simplify your answer completely Assume there are 52 weeks in a year Round your answer to the nearest cent