Complex numbers Questions and Answers

28 A eight hour work day includes a total break time of 0 8 hours What percent of the work day is used for breaks Round your answer to the nearest hundredth of a percent if necessary 29 Using a calculator 96 rounded to the nearest hundredth is x 30 Solve for t Do not use a calculator Keep radical in simplest form t 81 0 or

25 Find the distance t between a termite and a magnifying glass if you can see a termite clearly when your eye is 4 cm away from the glass and the focal length of the glass is cm Hint the formula for this 16 8 scenario is in your lesson content t x cm ENGLINE JUUNTARIL 48 126 NE PERALA RESEERIA 27339 SAUN BALEARE MEANIE LES KONDELLEERE

36 Use substitution to solve the system Determine how many solutions there are T 28 2 5r 5s 8 number of solutions

26 Find the unknown measurement b in this parallelogram shown Height is 2 3 feet and the area is 18 square feet The formula for the area of a parallelogram is A base xx height Round to the nearest hundredth b ft 2 3 ft b length of the base

Let f x 2 x state the relation between the graphs of the function and invorse sketch the graphs of f and f on the same of axes pair PO MNI 12 8 7 6 5 3 2 10 2 3 4 5 6 7 8 9 10

of Rudy Meangru Show that the functions f x x 3 and g x x 3 are inverses by verifying that f g x x and g f x x f g x f x 1 g f x g x 1

a f x 2x 3 x 1 y 2x 3 x 1 3 Domain off x 1 4 Range y 2

5 Letf x 2 x 3 Deseribe the domain of the and range in verse function

Let f x 7x 2 and g x 4x 5 Find f g x f g x fg x and 1 f g x Simplify your answer x Give the domain of each

4 Le f be defined as f x x 1 2x 1 Find f 3 in two different ways One Way Find f and then compute f 3 Another way Solve for x f y x 1 2x 1 X 3

5 Let f x 2 x 3 a Show that f is one to one f x x 3 f x x 3

The graph of f x is shown in red Draw the graph of g x f x Make sure to start at one of the endpoints not the middle point After finishing the graph click outside the grid to stop drawing 8 7 6 5 4 3 2 7 8 96 5 4 3 2 1 2 3 4 5 69 7 8 1 Clear All Draw Polygon 2 3 4 5 6 7 8

The graph of a linear function f is shown a Identify the slope y intercept and x intercept b Write the equation that defines f a The slope is Type an integer or a simplified fraction 10 8 230 200 160 20 80 40 240 80 120 160 200 240 280

Solve the polynomial inequality and graph the solution set on a real number line Express the solution set in interval notation x 7x 10 0 Use the inequality in the form f x 0 to write the intervals determined by the boundary points as they appear from le to right on a number line Interval Sign Type your answers in inf positive negative ascending order

Find the equation for a polynomial f x that satisfies the following Degree 5 Root of multiplicity 2 at x 3 Root of multiplicity 1 at x 2 Root of multiplicity 2 at x 3 y intercept of 0 324 f x help formulas

QUESTION 4 2 points A population of punishers is described by the DTDS 1 0 5 1800 where T is the density after t weeks FIND the general Solution of the DTDS if initially to 1000

Find the equation for a polynomial f x that satisfies the following I Degree 3 Zero at x 3 Zero at x 1 Zero at x 3 y intercept of 0 8 f x help formulas

nd the polynomial in the second numerator such that the following statement is true x 16 x 5x 4 3x 10x 8 1

Find the zeros and give the multiplicity of each for f x x x 4 x 2 Note to be counted as correct you must get One zero is a Another zero is x The last zero is x all answers correct and has a multiplicity of and has a multiplicity of and has a multiplicity of help numbers help numbers help numbers

Factor the polynomial function f x 10 9r 3x 2 The zeros are f x

Homework 10 22 1 Car prices for a certain car are projected to increase 125 in 10 years If a car currently is sold for 6000 how much would it be sold for in ten years

2 An adult ticket to a movie costs 40 more than a child s ticket to a movie If adult tickets cost 10 50 how much does a child s ticket cost

3 Ed earns a 15 pay raise If he now earns 1200 each week how much money did he earn before the increase rounded to the nearest cent if needed a 180 00 P 1020 00 c 1043 48 d 8000 00

1 The winning team in a football game scored 20 more points than the losing team If the ing team scored 35 points how many did the winning team score a 7 42 c 45 d 55

5 Miguel spends 702 on bills 204 on utilities and 1200 on rent every month The total amount he spends on these necessities is 35 percent more than he spontyoors g How

What is the solution to the equation 7 5 2 Enter your answer in the box

A company has created an equation f x 5 10 that represents their business profits f x in thousands if they sell x number of products in hundreds A picture of the graph of this function is below Determine if the statements below are true or false based on the interpretation of the key features of the function in context 5 business profits in thousands of dollars 50 5 10 10 number of products sold in hundreds 15 The business will start making profit after they sell 1000 products The business profits are increasing from 0 00 They spent 10 000 to start their company e point 9 5 represents that if the company sells 500 products they will have a profit of 9 000 As the company sells more products their profits increase An appropriate range for this function is 0 0 True False

Use synthetic division to perform the following division x4 4x 4x 21x x 3 x4 4x 4x 21x x 3 Simplify your answer Use integers or fractions for any numbers in the expression

Look at the graph of the function f x x 1 3 below and describe its charact 0 1 3 Domain 5 Range Positive Interval Interval of Negative Interval as x as x V V 10 10 0 average rate of change over the interval 2 5 The point 10 0 is the 15 1 00 f x f x V V V

9 When b is greater than 0 b 1 36 A B D 6 2 5 2 6 E is equivalent to which of the following expressions select TWO that apply

0 Solve the following equation for x x 4x 5 2x 10 2 A x 5 7 B x 7 x 5 D x 3 5 7

Expand the logarithm log2 m5n JA O log2 5m log2 3n log2 4p 5 log2 m 3 log2 n 4 log2 p

Solve the logarithmic equation using properties 2 ln 3 ln x 4 no solution X 13

same road each traveling at a constant rate The distance between two cars can be modeled by the function d m 5280m where d is the distance between the cars in feet m minutes after they left the gas station a Express the number of minutes since the cars left the gas station as a function of the distance between the two cars m d m d b Evaluate m 105600 m 105 600 c Select the statement that best describes the values from b When the two cars are m 105600 miles apart they have been traveling for 105 600 hours O When the two cars are 105 600 feet apart they have been traveling for m 105600 minutes When the two cars are m 105600 feet apart they have been traveling for 105 600 minutes

The function below is one to one Find the inverse function f y 4 x 6 f x 1

Let f x 10x 5 and g x a Calculate and simplify f g x f g x b Calculate and simplify g f x g f x x 3 25 O No c Are f x and g x inverses of each other O Yes

Find the exact value of the following logarithmic expression In 1 2 e2 11 1 In

Write the following exponential equation in its equivalent logarithmic form 12 144 The equation in logarithmic form is

Find the exact value of the following logarithmic expression log12 V12

Find the exact value of the following logarithmic expression 10 1 In In

Find the exact value of the following logarithmic expression e2 In e2

4 Complete the following graph of f given that f is an odd function 10 5 15 10 5 re 5 5 10

Find the exact value of the following logarithmic expression In e8

2 Complete the following graph of f given that f is an even function 10 5 161 10 5 5 5 10

3 Show algebraically that the function f x x 4 x is an odd function Sketch the graph of f T 7 0

Fill in the blanks with the appropriate responses The line x 2 0 has x intercept has y intercept It The line x 2 0 has x intercept has y intercept It Type ordered pairs does not or does Undefined or 0 Does not or does Undefined or 0 have a y intercept The slope of this line is have an x intercept The slope of this line is have a y intercept The slope of this line is It have an x intercept The slope of this line is The line 4y 2 The line 4y 2

Graph the following linear function Give the domain and range Identify whether it is a constant function f x 8 Use the graphing tool to graph the linear equation What is the domain of the function Select the correct choice below and fill in the answer box to complete your choice OA The domain is a value or list of distinct values Type an integer or a simplified fraction Use a comma to separate answers as needed OB The domain in interval notation is Type your answer in interval notation 3 PIRT de 16 d

Graph the line 4x 3y 12 Give the domain and range Use the graphing tool to graph the equation What is the domain Select the comect choice below and if necessary fill in the answer box to complete your choice OA The domain in interval notation is Type your answer in interval notation OB The domain is a value or list of distinct values Type an integer or a simplified fraction Use a comma to separate answers as needed

The city of Sebastian has a current population of 25 479 With a projected growth rate of 1 the population of Sebastian can be modeled by P t 25479e0 01t where P is the population t years from now Use the population growth function to answer the following questions Round solutions the the nearest whole number What is the predicted population of Sebastian 1 years from now Population What is the predicted population of Sebastian 7 years from now Population What is the predicted population of Sebastian 19 years from now Population

For the point P 21 5 and Q 26 8 find the distance d P Q and the Coordinates of the midpoint M of the segment PQ What is the distance Simplify your answer Type an exact answer using radicals as need