Complex numbers Questions and Answers

Week 1 1 1 do 1 to 6 submit 3 to 6 Week2 1 2 do 7 13 17 18 19 20 27 28 submit 7 12 17 28 Brief summary of text ch 1 3 4 Look for patterns in Pascal s triangle Add rows You make 16 dollars an hour plus time and a half for hours more than 40 How many hours to earn 808 Make a list Graph of when couples break up Weights of players in Bears vs Angels 3 98 90 82 74 2 4 7 11 16 2 10 20 40 100 81 64 49 4 37 43 49 55

Nathan has joined the Frequent Coffee Buyer program with a local cafe The program costs 15 per month which allows him to get a discounted coffee price of 1 5 per cup Answer the questions below regarding the relationship between the of number of cups of coffee purchased and the total monthly cost Answer The independent variable x represents the number of coffee cups purchased and the dependent variable is the total monthly cost because the number of coffee cups purchased depends on the A function relating these variables is T x So T 18 meaning 18 B

Solve each equation 2 12 3 42 2x 67 A 6 C 6 B 7 9 D 7 13 13 8 8 2 3 0 4r 9 2 33 18 A 0 2 3 8 C 7 6 9 B 3 5 49 5 D 0 2 13 8

Simplify Write answers with only positive exponents All variables are nonzero 44xy5z 24x4y5z 5 2 44xyz 24 5

Find the quotient 35n8 28n6 7n5 7n5 35n8 28n6 7n5 5 7n Simplify your answer Use integers or fractions for any numbers in the exp

Simplify the expression Write the answer using positive exponents All variables are nonze p 7 0 7

se the negative exponent rules to simplify Write the answer with only positive exponents 4a 4a 2 3 11 3 Type an integer or a simplified fraction

Find each quotient 19 wiw 51 11100 124 MIN

3 20 pts While working on a video game Your studio needs to outsource their development to another willing to offer to help in the development of the video game company The following are the prices for every year of work that 5 companies are 450y 3000 Company 1 C Company 2 C 500y 2000 Company 3 C 360y 7000 Company 4 C 400y 8000 Company 5 C 600y 3250 Go online and find out how long a video game is usually in production in years How long does your game take to develop and which of the companies would be best for your cost If needed show work and be sure to include units

Simplify the expression Write the answer with only positive exponents All variables are nonzero 2x y 3 4 2x y 3 4

5 5 8 54x y Step by Step Solution Simplify 42x Write the answer with only positive integer exponents All variables are nonzero Step 1 Write the quotient as the product of factors 5 5 42x y 8 54x y 42 54 0 y 5 y

Use the quotient to a power rule to simplify 5 2 X 3 5 2 5

Simplify the following expression 7 3 8 1

Simplify the numerical expression Assume all variables are nonzero 11 11 7 4x

Simplify the following numerical expression 1 9 2

9 REVIEW Sum 1 Solve each inequality 1 31 23 9 A r 6 or r 10 B r 3 or r 3 C 3 r 3 D r 4 or r 4 10 10 0 4 2 5k 1 1 A 5 75 k 5 09 B All real numbers C k 2 1 or k 2 6 D No solution

Solve each inequality 5 7 3r 6 62 48 A 0 rs4 B 45754 C r Sor D 3 rs6 3 6 2 4 6m 8 262 A m 4 or m 26 B 4 6 9 sms4 D 0 S or 24

Solve each inequality and graph its solution 7 8 8a 8 5 69 a 1 A a 1 0 421 1 2 3 C as 10 or a 2 D No solution B Isas 8 4 8 5 10b 9 7 12 A 3 b 2 14 12 10 8 7 B 6 b 7 C All real numbers D 4 b 3 7 8 9 10 202 8 7 6 5 4 3 2 1 0 1 2 3 0 567

Simplify the following expression X X 8 x 8 3

Use the quotient rule to simplify 36w8z6 24w4z 36w8z6

1 20 points Find the surface area of the right trapezoidal prism with side a 15 side b 36 the height is h 30 cm the slant length is d 36 cm and the length is c 72 cm D UP 1

Consider the following scenario Choose the sentence that represents a reasonable You do not need to solve the system A plane flies 2400 miles from Orlando Florida to Los Angeles California against the wind in 4 hours and 10 minutes Then the plane flies back to Orlando with the wind in 3 hours and 45 minutes Find the speed of the plan with no wind and the speed of the wind The speed of the plane with no wind is 608 hours The speed of the wind is 32 hours The speed of the plane with no wind is 32 mph The speed of the wind is 608 mph The speed of the plane with no wind is 608 mph The speed of the wind is 32 mph The speed of the plane with no wind is 608 km h The speed of the wind is 32 km h

Wayne is hanging a string of lights 59 feet long around the three sides of his rectangular patio which is adjacent to his house The length of his patio the side along the house is 7 feet longer than twice its width Find the length and width of the patio Width of the patio is Length of the patio is feet feet

Jotham needs 15 liters of a 40 alcohol solution He has a 30 and a 80 solution available How many liters of the 30 and how many liters of the 80 solutions should he mix to make the 40 solution Liters of 30 solution Liters of 80 solution

After four years in college Josie owes 12000 in student loans The interest rate on the federal loans is 2 8 and the rate on the private bank loans is 3 4 The total interest she owes for one year was 384 00 What is the amount of each loan Federal loan at 2 8 account Private bank loan at 3 4 account

blem 1 Which of the following is equal to 1 1 cos 2x ii 1 cot x 1 2 1 cos x tan x sin 2x A iii only B ii only C i and iii only D i and ii only E none of them F all of G 1 only H ii and iii only

plify 2 8 y 1 5y z 2 5yz 2 2 ution 5 5

O 5 4 3 2 1 5 4 3 2 1 2 3 2 1 2 1 1 2 3 2 3 1 2 N 3 4 5 4 5 O 5 4 3 2 1 2 1 2 3 5 4 3 2 1 1 1 2 3 1 2 3 4 5 2 3 45 X

What is the solution to the system of linear equations 6x 7y 59 4x 5y 41 Enter your answer by filling in the boxes

7 7 7 5 4b 4 53 A 3 b 5 B 1 b 8

1 Solve each equation 1 x 6 10 A 4 16 C 4 B 8 26 D 20 0 3 0 6 b 0 2 2 9 3 98 B 2 D 0 6 2 A 1 84 1 2 C 2 1 6 2 4 2 A C 25 6552 43 10 2 11 2 24 B D 4 14 9a 14 13 209 A 6 2 28 C 9 B 0 18 D 6 1

2 9 3 98 lity 27 7 10 B 2 D 0 6 2 4 6 S al 4 14 9a 14 A 6 2 c 0 28 C 0 9 D 13 209 B 0 D 6 75 p 4 10 A 4 p 6 B 3 p 7 C p 2 or p 6 D p 3 or p 7 18

ity the following expression 3 7 Simplify your answer Type exponential notation with positive exponents Use integers or fractions for

Find the quotient 50n5 60n 30n 10n 50n5 60n 30n 3

Click here to watch the video What is the equation of a vertical line that goes through the point 4 0 The equation is Type an equation

4 Find the slope and the y intercept of the line given by equation y 1 x 6 The slope of the line is Type an integer or a simplified fraction The y intercept of the line is Type an integer or a simplified fraction

The slope and a point on a line are given Use this information to locate three additional points on the line Slope 2 point 8 1 Determine three points on the line with slope 2 and passing through 8 1 O A 6 0 10 2 12 3 O B 9 3 7 1 6 3 OC 3 9 1 7 3 6 O D 0 6 2 10 3 12

Find the quotient and remainder using long division x 4x 32 X X 4 ran TOY x 4x 32 X 4

Simplify the expression 4p 4p Simplify your answer Type your answer using exponential

Multiply 2w w 3w 3 2w w 3w 3 Simplify your answer

For the following find the discriminant b 4ac and then determine whether one real number solution two different real number solutions or two different imaginary num solutions exist 21 5t 0 What is the discriminant b 4ac 25 Simplify your answer What is the nature of the solution s OA There are two different real number solutions OB There is one real number solution OC There are two different imaginary number solutions

3 Tyler needs to complete this table for his consumer science class He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons number of teaspoons number of tablespoons number of cups 36 12 48 2 3 a Complete the missing values in the table b Write an equation that represents the number of teaspoons I contained in a cup C

Given that g x 2x 3x 11 find each of the following a g 0 b g 1 c g 2 d g x e g 1 t a g 0 Simplify your answer

geogebra org lti launch 5 4 3 2 10 9 8 7 6 432459 4 T 23 6 8 96 10 y X 1 2 3 4 5 6 7 8 9 10 11 Use the two points to graph the line y 5 Check Answer 3

Find the domain of the function f x 19 x The domain is Type your answer in interval notation

Find the domain of the function f x x 5 8 X The domain of the function is Type your answer in interval notation

3 1 a solution of the equation 4a 6b 5 Select the correct choice below and if necessary 6 Is the ordered pair fill in the answer box to complete your choice OA Yes because after substituting for a and b it gives the result 5 5 B No because after substituting for a and b it gives the result 4 5 Type an integer or a simplified fraction Is the ordered pair 0 a solution of the equation 4a 6b 5 Select the correct choice below and if necessary fill in the answer box to complete your choice OA No because after substituting for a and b it gives the result Type an integer or a simplified fraction OB Yes because after substituting for a and b it gives the result 5 5 5

The points 7 5 and 11 3 are endpoints of the diameter of a circle Determine the center of the circle The center of the circle is Simplify your answer Type an ordered pair Use integers or fractions for any numbers in the expression Type an exact answer for each coordinate using radicals as needed

Find the midpoint of the segment having endpoints 5 5 2 2 and 2 2 5 5 The midpoint is Simplify your answer Type an ordered pair using integers or decimals

5 1 x 5 23 A x 1 or x 6 B 1 x 6 C x 14 or x 16 D 5 x 3 6 6 4 4 6 A 12 x 0 B x 6 orx 6 C 2 x 3 D 6 x 6