Complex numbers Questions and Answers

Write expression log answer completely log 10 T 14 210 as a sum or difference of logarithms with no exponents Simplify your

Consider the function P x x 8 x 4 The y intercept is the point The intercept s is are the point s As x y As y

Information in the diagram to determine the radian measure of the angle p 0 5 0 5 O 0 5 0 5 Enable Zoom Pan X

Solve 4 log 625 b

12a 9 Consider the infinite geometric sequence 225 45 9 5 Determine the common ratio between consecutive terms r Enter your next step here X T 96 ald

What is the value of 1 1 1 3 1 2 1 1 22 of 3 1 2 1908 378 1802 405 1805

et f be the invertible linear transformation represented by the matrix 2 1 3 ind in terms of and y the equation of the image f C of the unit circle C he equation is A

0 b If sin x and sec y 5 where 0 x and 0 y evaluate the expression sin x y

4 7i 6 2i 13 10 5i 3 4i 14 9 8i 7 9i 5 i 15

6 Find the domain of the following function Express your answer in interval notation x 4 f x x 2x 8

Use the diagram below to find m 1 m 2 and m 3 1 73 2 3

Find the slope of the line that passes through Point A 2 4 and Point B 0 m Enter your next step here 7 using the formula m 2 1 X2 X1

1 A boat is 15 ft away from a point perpendicular to the shoreline A person stands at a point down the shoreline so that a 65 angle is formed between the closest point to the boat the person and the boat How far is the person from the boat Round your answer to the nearest tenth of a foot Show your work boat 15 ft d 65 person

R G K If all the graphs above have equations with form y ab Which graph has the largest value for b Select an answer Which graph has the smallest value for b Select an answer Which graph has the largest value for a Select an answer

Move the slider k so that the graph of y 2 gets shifted up 2 units Then type the new function f z in the answer box 4 3 2 1 5 4 3 2 0 1 2 1 2 f x 2 x 3 k 0 00 4 0 Don t forget to shift the graph up Using function notation i e f x enter the function that results from the transformation

The graph below shows a transformation of y 2 243 2 y mily 145 644 bind ba Write an equation for the graph above Question Help Video

Solve the following inequality and graph the solution z 8 x 6 20 Choose test values and indicate whether the inequality is true or false in each region Enter the test values from smallest to largest Test Value Inequality Select an answer 12 11 10 8 Select an answer Clear All Draw Draw the solution above Write the solution as a compound inequality Select an answer

A car rental company offers two plans for renting a car 30 per day and 10 per mile 70 per day with free unlimited mileage For what range of miles will Plan B save you money Assume the car will be rented for one day Enter your answer using interval notatic Plan A Plan B

Determine the values of the variable for which the expression is defined as a real number Enter your answer using interval notation

Find the value of x Show all work 22 Area of the rectangle is 30 sq ft 3x 1 X

Find all zeros of the function f x 12r 23z 6 5 Enter the zeros separated by comma

Find all zeros of the function f x 2x 12x 22x 12 Enter the zeros separated by commas

Given the graph of the function f x what is the value of f 2 f 2 DONE w 2 ty

If a sample mean is 92 which of the following is most likely the range of possible values that best describes an estimate for the population mean O A 78 110 OB 82 114 O C 76 108 D 80 112

Which graph represents the function DONE K NO 6 FD 2 23 x 2 x 2 g x x 2 x 0 x x 0 O 4 27

The cost in dollars to produce designer dog leashes is C x 2x 5 and the revenue function in dollars is R x 2x 34x Find the profit function P x Find the number of leashes which need to be sold to maximize the profit Select an answer Find the maximum profit Select an answer Find the price to charge per leash to maximize profit Select an answer What would be the best reasons to either pay or not pay that much for a leash

Write an equation for the quadratic graphed below x intercepts 3 0 and 2 0 y intercept 0 1 y 3 2

Evaluate the expression Solve 3 1 3 1 7 8 8 Evaluate the expression 10 3 64 64 4 2 Simplify the expression Write your answer using only positive exponents 4 21a b 2 3 240 Evaluate the expression 17 128 7 2 5 2 5 20 15 Rewrite the expression in rational exponent form 13 2 53 Rewrite the expression in radical form 15 341 344 2 11 729 5 3 18 25 2 21 343 1 3 14 2 110 3 16 4174 6 4 DE 9 r 2 5 12 8 4 4874 47 that No solution 19 1000 QUIER 3 2 22 1

2 9 8 7 6 Domain Range Intervals of Increase Intervals of Decrease Maximum 24 3 6 0 6 7 8

Q 1 a Let f be a real function satisfying the following properties Df R f 0 0 f 0 0 f x 0 for all x D 0 f is left continuous at x 1 f is not continuous at x 1 and lim f x 0 Try to define such a function f x 1 and skecth a draft graph for f hint you may use the well known real functions to write a piecewise function f satisfying these properties

For each graph determine the domain range intervals of increase and decrease and maximum and minimum points 1 74 Domain Range Intervals of Increase Intervals of Decrease Maximum 10 2 44 1 Domain Range Intervals of Increase Intervals of Decrease Maximum Minimum

The answer above is NOT correct 1 point Find the angle between the plane z 0 and the plane passing through the points 0 0 0 1 3 0 and 0 1 2 1 41 radians

For Problems 6 10 find the a total cost and b cost per mile Rental Cost Gasoline Cost Total Cost Miles Driven 66 50 96 00 154 75 6 7 8 40 39 45 98 78 27 a a a 240 300 476 Cost per Mile b b b

8 9 3 5 4 a Which angle s form a linear pair with 2 b Which angle s form a linear pair with 29 2 1 c Which angle s forms a pair of vertical angles with 24

3 2 7 2 points for correct work shown 1 point for the correct answer Simplify Show all work for full credit

Solve Y9 7 13 Y9 13 7 Y9 6 Y 9 6 Y 6 9 Y 15 and Y 9 6 Y 6 9 Y 3 Y 3 15

7 Monica Rizzo wants to buy a 4 year old V6 four door sedan that has 52 686 miles It has manual transmission a DVD player leather seats front bucket seats and power sunroof but no air conditioning

2ax a 12 Which of these fit the pattern for a perfect square a NOTE Decide what a would need to be to get the x term Then check if that matches the constant term without the x NOTE The middle term with the x can be negative if the value of a is negative The constant term is always positive x 10x 20 2 182 81 10x 25 2 49 2 42 4 2 162 64 z 3x 6

Use the Comparison Theorem to determine which of the following integrals converge i S S arctan x R 2 0 dx dx 2 sinx x3 2 de A ii only B none of them C iii only D ii and iii only E all of them F i only G 1 and 11 only H 1 and 111 only

Determine the domain of each functic K f x x 2x 35 C A g x 2 h x 1 x 12 5 2 3x 2 x2 7x 60

a Write the area as a sum Write the area as a product b

2 Multiply 2x 3 x 5 using a generic rectangle Write the area 360 sum

Micah is twice as old as Richard Richard is four times as old as Ken Ken is six years old How old is Micah O 12 years old O 8 years old 48 years old O 24 years old

In AABC OA a and OB b C lies on OB so that OC CB 3 1 P lies on AC such that AP 2PC Q lies on AB so that O P and Q are collinear Determine the ratio AQ QB 2 A P Q C R B 2 1 5 1

X x The range of the function f x x 4 why this is true you have to do two things is 1 U 1 0o To explain a 2 marks Show that if f x y for some r then either y 1 or y 1 b 2 marks Show that if y 1 or y 1 then the equation f x y has a solution in z

If x t cos t 3 sin t 6 what is the phase of oscillation Please write out answer in detail thanks

3 Evaluate the expression 2 3i 1 5i

Example cos 0 0 456 Method 0 Try these a sin i 0 8345 cos r 0 3463 62 87 62 9 i r is a symbol often used in physics for angle using a calculator rounding to the nearest tenth of a degree because measurements can be made to that precision b tan x 3 750 c tan y 0 1989 y

Which equation represents the transformed function below 5 4 3 2 T 3 2 1 1 2 3 4 5 6 7 7 7 7 7 7 2 parent function y log x transformed function

C Solve each equation 3 13 27 x