Complex numbers Questions and Answers

5 Let f x x 4 2x 1 and g x 2x 7x 4 Are f x and g x equivalent Justify your answer

Find the slope intercept equation of the line that has the given characteristics Slope 17 13 and y intercept 0 5 The slope intercept equation is Type an equation Type your answer in slope intercept form Use integers or fractions for any numbers in the equation Simplify you

Find the LCM of the following set of numbers 13 12 and 39 The LCM is

7 Write the fractions and as equivalent fractions with the least common denominator 13 7 11

Write the fraction in lowest terms 62 30 62 30

Write 2 with denominator 5 2 Do not simplify

1 point Solve the inequality statement 4r 5 5r 7 Or Or 12 Or 12 r 4

1 point Lloyd currently has 80 in his bank account and he earns 130 a week at his current job Write a function S that represents the amount of money Lloyd has in his account after w weeks S w 80 130w S w 80 w S w 130 80w S w 80 130 w Ney

1 point Theo has 5 more than Denise and Denise has 11 more than Rudy Together they have 45 How much money does Denise have O 22 6 14 17

6 1 point Write an explicit rule to represent the sequence 20 24 28 32 36 f n 4n 20 O f n 4n 24 Of n 4n 12 O f n 4n 16 Previous

Calculator The average daily maximum temperature for Laura s hometown can be modeled by the function f x 4 5 sin T 11 8 where x 0 corresponds to January What is the average daily maximum temperature in May Round to the nearest tenth of a degree if needed Use 3 14 for TT Enter your answer in the box is the temperature in C and x is the month

333 The graph shows how many inches above the ground y the valve on a rotating tire is for a given number of seconds x How many degrees is the tire turning every second Enter your answer in the box m 25 3 3 5 20 15 10 5 0 0 5 1 2 3 4 5

The graph shows the distance y in centimeters a pendulum moves to the right positive displacement and to the left negative displacement for a given number of seconds x How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left Enter your answer in the box S 154 10 5 0 5 10 15 0 5 15 2 25 3 3 5 4 4 5 5 5 5 6 6 5 7

What is the period of the function O 12 T O 16 6 O f x sin x

1 point Mike wants to rent a car for his vacation The rental costs 125 a week plus 15 a mile How far can Mike travel in a week if he wants to spend at most 200 Mike must drive more than 500 miles Mike can drive at most 500 miles Mike can drive at most 5 miles Mike can drive an unlimited amount of miles

1 point The sum of two consecutive even integers is at most 400 The pair of integers with the greatest sum is 196 and 198 True False 7

1 point Three less than two times a number is 55 What is the number 26 55 26 29

A pet sture surveyed 674 people to see how many own a fish how many own a dog and how many own a cat The Venn diagram below shows the results Each number gives the number of people who fall into that Venn diagram category All people in the survey Own a dog Own a fish 66 44 51 37 145 113 Own a cat 71 147 a How many of the people own a fish people b How many of the people own neither a fish nor a cat people c How many of the people own both a dog and a cat but don t own a fish X

Fill in the blank Because a 1 1 a a for any real number a we call 1 the multiplicative ident

Use the Associative Property of Multiplication to evaluate the following expression 1 14 9 9 14 1 9 9 Type an integer or a simplified fraction

Rita is doing research for the city newspaper on the eight topics listed below She can choose to write about some none or all of these topics Agriculture Climate Education Food Healthcare Jobs Politics Religion In how many different ways can Rita choose the topics she will write about The order of the topics chosen doesn t matter S

Tony is going on a trip He can take some or none of the nine novels from the list below with him He can t take all of them Ascent Beloved Catcher Dune Light Lost Pride Stranger Ulysses In how many different ways can Tony choose the novels to take with him The order the novels are chosen doesn t matter

nsert grouping symbols so that the expression has the desired value 10 8 7 5 results in 4

Graph h x 7 sin x Use 3 14 for T Use the sine tool to graph the function Graph the function by plotting two points The first point must be on the midine and closest to the origin The second point must be a maximum or minimum value on the graph closest to the first point Sine Move Undo 1 06 Quiz Sinusoidal Graphs Vertical Shift DOO Redo Reset

Calculator Which function is shown on the graph f x f x o f x O f x O CO sin x cos x sinx 1 cos x COS N NH

Express the number as the product of prime factors 45 45 Type your answer using exponential notation

Evaluate the following expression 27 4 1 40 15 3 27 4 1 40 15 11 wl 3

Evaluate the expression 23 3 4 3 23 3 4 3

Evaluate the following expression 16 16 2 28 20 4 6 0 16 16 2 28 20 4 6 0 Type an integer or a simplified fraction

Evaluate the expression 12 4 4 12 4 42 Simplify your answer

Evaluate the following expression 4 6 2 6 4 6 2 6 Type an integer or a simplified fraction

Evaluate the following expression 2 4 7 4 2 2 2 4 7 4 2 2

valuate the following expression 4 2 5 23 4 2 5 23

Evaluate the following expression 4 2 15 4 3 2 2 4 2 15 4 3 Type an integer or a simplified fraction

Evaluate the following expression 19 53 4 47 4 19 53 4 47 4 Type an integer or a decimal

What is the minimum of the sinusoidal function Enter your answer in the box 4 2 www 14

usoidal Graphs What is the period of the sinusoidal function Enter your answer in the box 14 12 10

Evaluate the following exponential expression 3 2 9 2 Type an integer or a simplified fraction

Evaluate the following expression 3 12 3 24 3 12 33 24 Type an integer or a simplified fraction

Insert parentheses to make the following statement true 18 11 5 9 3 Choose the correct answer below OA 18 11 5 9 3 OB 18 11 5 9 3 OC 18 11 5 9 3 O D 18 11 5 9 3

Evaluate the following exponential expression 10 10

State the property of real numbers that is being illustrated below 85 9 5 8 is equivalent to Choose the correct property below O Multiplication Property of Zero O Multiplicative Inverse Property Multiplicative Identity Property O Commutative Property of Multiplication O Associative Property of Multiplication

Fill in the blank The Commutative Property of Multiplication states that for any real numbers a and b

1 point The legs of a right triangle are 3 in and 4 in Use the Pythagorean theorem to find the length of the hypotenuse 12 in O 7 in 5 in 6 in

1 point 3x 2 3x 2y is a polynomial True False

A health research fund drive has raised 18 700 That is 22 of the goal What is the goal 411 400 187 000 85 000 O 1 914

1 point What percent of 250 is 50 20 15 50 25

5 1 point Your water hose is leaking at a rate of 0 25 cups per hour How many gallons did your hose leak in a full 24 hour day 0 5 gallons 0 375 gallons 0 25 gallons 6 gallons Previous

3 1 point Your fitness tracker says you ran 2 640 yards on your most recent run How many miles is that 1 mile 1 3 miles 000 2 miles 1 5 miles

16 What is 89 equal to can you make a about Values of in based on n general statement