Complex numbers Questions and Answers

21 10 12 3 5 8 then 26 X Estimate your answer to two decimal places y

Find the domain and range of the function X 3 X 5 y D All real numbers except Select R All real numbers except Select

The variables x and y vary inversely Use the given x and y values to write an inverse variation equation and find x given that y 2 4 X 5 V 9 X

A dietitian wishes a patient to have a meal that has 54 grams of protein 58 grams of carbohydrates and 380 milligrams of calcium The hospital food service tells the dietitian that the dinner for toda is chicken corn and milk Each serving of chicken has 40 grams of protein 15 grams of carbohydrates and 100 milligrams of calcium Each serving of corn has 3 grams of protein 16 grams of carbohydrates and 10 milligrams of calcium Each glass of milk has 8 grams of protein 11 grams of carbohydrates and 260 milligrams of calcium How many servings of each food should the dietitian provide for the patient serving s of chicken serving s of corn The patient should have and serving s of milk Type an integer or a decimal

Consider the quadratic inequality x 8x 15 0 What is the solution set O 3 x 5 O x 3 or x 5 O 5 x 3 Ox 5 or x 3

Add the polynomials 4x 2x 5 and x 3x 7x O C a 5x3 3x2 5x 5 b 3x3 3x 5x 5 c 5x 5x 12x d 3x x 2x

1 6 Homework K The expression f x f x 7x 6x

The APR on Austin s credit card is 22 7 What is his monthly interest rate Leave your answer in decimal form and round to the nearest thousandth three decimal places

Construct an appropriate triangle to complete the table 0 deg Function tan Function x CSC 0 rad X Function Value Construct an appropriate triangle to complete the table 0 0 90 0 0 2 0 deg 0 rad Function Value 0

Sample Question 5 bisection method We consider the function f x 2 2r 1 on the interval 0 3 i Show that f has a root p in the interval 0 3 ii Use the bisection method to find p3 write down all the steps and calculations iii Find the maximum number of iterations n needed by this method to find an approximation p of p up to up to 5 10 6

1 2 4 6 P 14 8 R Directions Solve for x Round to the nearest tenth 3 17 48 29 22 50 37 48 X 12 l 58 5 X 16 7 9 sino COQ tan O 37 24 29 67 9 15 51 x sin R cos R tan R

5 The formula for converting Celsius to Fahrenheit temperatures is F C 32 a Find the inverse of the formula Is the inverse a function Give a reason for your answer b Use the inverse to find the Celsius temperature that corresponds to 25 degrees Fahrenheit

find f x and g x such that h x fog x h x x 4 3 x 4 3

Determine the area of the shaded region in the following figure What is the area of the region in terms of x 0 OA 2x x 3 dx O B 3 1 x 3 dx 3 1 3 Oc x 3 dx C 0 3 2x dx 1 1 0 O D x 3 2x dx 1 0 2x dx What is the area of the region in terms of v

K The given figure shows a transforma Write the equation for the transform

K Use transformation Y3 Check by graph calculator y x 5 y Use the graphing t

Your bookstore charges 2 per month on your unpaid balance You charge 212 75 for books You do not pay the bill until 2 months have passed after the first billing What is the bill that you owe after 2 months of accumulated interest Round your answer to the nearest cent

what is y 500 1 0 096 to 12 power

Use the graph of the quadratic function f to write its formula as f x a x h k f x Simplify your answer 10 8 6 4 2 0 2 4 6 8 10 y f x 10 12

omplete the table by finding the balance A when P dollars is invested at rater for t years and compounded in times per year Round your answers to the nearest cen P 1900 6 5 t 10 years A n 1 2 4 12 365 Continuous

tortoise is walking in the desert It walks at a speed of 3 meters per minute for 37 5 meters For how many minutes does it walk minutes

Complete the sentence below The graph of a quadratic function is called a n The graph of a quadratic function is called a n square parabola line

Consider the function f z z 1 a Graph the function 10 9 8 7 Clear All Draw 65 4 3 2 10 9 8 7 6 5 4 3 2 4 1 2 3 4 5 6 7 8 2 3 4567 8 9 10 ANS b Using interval notation state the domain of the function Using interval notation state the range of the function 91C

Graph the linear inequality Clear All 5 Draw 14 12 10 8 69 14 12 10 8 6 4 2 8 10 12 14 2 4 6 8 10 12 14

The salvage value 5 in dollars of a company limosine after t years is estimated to be given by the formula below Use the formula to answer the questions Si 200 000 0 7 What is the rate of depreciation in dollars per year after 1 year per year Do not round unts the final answer Then round to the nearest cent as needed what is the rate of depreciation in dollars per year after years per year Do not roong unti fe snat answer Then roond to the nearest cent as needed What is the rate of depreciation on dollars per year ater 10 years speryear Do net round until the final answer Then round to the nearest cent as needed

Find the slope of the line shown If the slope is undefined input DNE 4104 9 10 9 8 ono 3 19 465 324 2 3 6 7 84 9 56 10

Find each measure 17 m ABD B 19 WZ Y 7x 1 2x 36 X 39 54 39 6x 11 N 54 W 4x 5 18 DC B 20 m XYW 64 64 W N X 5x 9 3x 5 8x 3 D 11x 3 Y

Jake s water bill is 28 80 per month plus 2 00 per ccf hundred cubic feet of water What is the maximum number of ccf Jake can use if he wants his bill to be no more than 56 00 The maximum number of ccf s Jake can use is

Graph the solution on the number line 22 21 20 19 18 17 16 15 14 13 12 11 1 Clear All Draw iii Write the solution in interval notation i Solve the inequality 18 O Write 18 H ii Graph the solution on the number line H 2 30 31 32 33 34 35 36 37 38 39 40 41 42 Clear All Draw O in interval notation

a 2 5 3 i Graph the inequality 54 3 2 1 0 Clear All Draw ii Write in interval notation 1 2 3 4

5 Let f x 2x 5 and g x x 3x 2 a 3f x 2 b f x 2g x 5f x g x C

4 Let g x 2x and h x x 4 a hog 2 b goh 2 c hoh x

If sin sin 22 cos 2x tan 2 in quadrant 1 then find without finding x

Solve by Reducing to a Quadratic Clue ax2m bx c 0 Ex Solve x4 13x 36 0

Graph the following function by starting with the graph of 2 y x and using transformations shifting compressing stretching and or reflection 92 f x 2x Use the graphing tool to graph the function Click to enlarge graph 16 12 81 124 29 16 12 47 442 14 8

Determine whether the given function is linear or nonlinear If it is linear determine the slope Is the function a linear function OYes X 1 2 3 4 5 y f x 4 7 10 13 16

Given f x 4 x 3 and g x ln x find the following a f g x b g f x c f f x

Suppose that the functions fand g are defined as follows 1 7 f x x 6 8 x X Find 1 Then give its domain using an interval or union of intervals Simplify your answers 140 1 Domain of 0 8 2 0 0 DUO 0 0

Write the complex conjugate of the complex number 4 7i Multiply the number by its complex conjugate Simplify your answer completely

Find all zeros of f x x 4x 3x 2 Enter the zeros separated by commas Enter exact value not decimal approximations To receive credit for this question the following steps must be presented in the solution Step 1 List all potential rational zeros of the function using Rational Zero Theorem Step 2 Use the remainder theorem to determine whether the potential rational zeros are roots of the function If the remainder is 0 the candidate is a zero If the remainder is not 0 discard the candidate Step 3 Divide the polynomial function by the root obtained in the step 2 using synthetic division or long division A quotient will be drived at this step Step 4 If the quotient is a quadratic go to the step 5 If the quotient is not a quadratic repeat the steps 2 3 until the quotient is a quadratic Step 5 Use the quotient to find the remaining zeros by factoring or the quadratic formula

The polynomial f x x 6x x wx divided by x 1 For what value of w will the remainder be 5 W 2 is

The poverty threshold was approximately 10160 in 2010 Alternate Answer The poverty threshold was approximately 10 160 in 2010 Part 2 3 Part 3 of 3 In what year will the poverty threshold pass 17 000 per year The poverty threshold will pass 17 000 per year in X

The set of all polynomials p P p 3 0 where p is the derivative of p is not a vector space Select one O True False

17 7 5 points question 22 Identify whether the Received cash adva

Find the limit 3 2 1 4 Determine the limit lim X 10 1 2 3 X f x where f x 1 X 10

Find values of a and b for which the statement is false Select all that apply log a b log a log b Da 2 b 2 3 Da 2 6 2 a 5 b 5 4 a 10 b 10 a 2 6 2 3

Solve the following equation X 11 30 1 35 424 Write your answers exactly i e no decimals and simplified if possible separated by a comma x 8 914 X H Write your answers as decimals rounded to four decimal places A

8 2600 Sketch in standard position and label 8 y WebAssign Pot

5 Use your calculator to determine a 3 decimal approximation of tan 1 sec 87 5 Showing intermediate steps can earn you partial credit 6 Answer the following a If tant 3 in Quad 2 then what is cost b If cost 1 what is tant

Solve the following equation y 3y 28 0 y Type exact answers using radicals as n separate answers as needed Type each