Functions Questions and Answers

60 Find the rectangular equation of the parametric curve x t y t7 2 t 0 V

1 point How many ways can 4 CD s be choser from a case of 10 CDs

What is the smallest zero of h x x 2x 5x 6

and 12 Plot the intercepts to graph the equation 8x 4y 8 Use the graphing tool to graph the equation Use the intercepts when drawing the line If only one intercept exists use it and another point to draw the line Click to enlarge graph C This question 1 poir possible 10 6

A circle is represented by the equation 20 x y 8x 6y Which statement is true about the circle A The center of the circle is located at 4 3 and the radius of the circle is about 2 2 units B The center of the circle is located at 8 6 and the radius of the circle is about 2 2 units C D The center of the circle is located at 4 3 and the radius of the circle is 5 units The center of the circle is located at 8 6 and the radius of the circle is 5 units

44 DETAILS Sketch a graph of the polar equation r 4 5 2 S 2 5 5 5 0 5 x 2 5 Express the equation in rectangular coordinates Use variables x and y 2 S 5 0

B Find the rectangular equation of the parametric curve x t 2 y t t 0 y symbolic formatting help DETAILS Find the rectangular equation of the parametric curve 2 9 2 9 t

A pair of parametric equations is given x 5 cos t y 6 sin t 0sts 2n a Sketch the curve represented by the parametric equations kkk 0 4 61 2 4 6 6 2 41 21 2 2 4 4 b Find a rectangular coordinate equation for the curve by eliminating the parameter 6 6

Sketch a graph of the polar equation r sin 49 1 0 x 2 1 0 ds 0 5 1 0 2 1 0 10 3 1 0 0 5 1 0 0 1 0 0 5 1 0 0 5 R 2 1 0 0 5 1 0 x 2 1 0 1 0 0 5 0 5 1 0 1 0 0 0

DETAILS Determine which point in the figure P Q R or S has the given polar coordinates Select DEFAULE

Sketch a graph of the polar equation r 4 4 cos 8 15 10 5 15 10 5 x 2 15 10 10 15 2 15 10 51 S 10 15 5 5 10 10 15 15 0 0 15 15 10 10 5 5 7 2 15 10 5 5 10 15 R 2 15 10 5 5 10 15 5 5 10 10 15 15 0 0

models the value of the car y car that sells for 18 000 depreciates 25 each year Write a function that Given Information Initial Value Growth or Decay

contains 60 percent of the carbon 14 that is present in living trees How long ago to the nearest year was the artifact made The half life of carbon 14 is 5730 years years

Given the following information draw a sketch of f x f 3 0 f 6 0 f 0 0 f 0 f 2 0 f 4 0 f x 0 for x 1 and for x 3 f x 0 for 1 x 3

y 3 Given the graph below what would be the equations of the asymptotes in the inverse graph 5T X 3 10 T173 x n T76 n n Z 5 T 6 na n Z y n n Z n n Z 3 2 14 0 2 3 TT 3 TT 2 21 3 51 6

h x 3 x 4 2 5 graph the transformation following sequence of transformation

O 3 Given the function f x x 9x 27x 5 determine the absolute maximum value of f on the closed interval 2 4 Answer I Submit Answer 0 25 H attempt 1 out

The first four terms of a sequence are given Can these terms be the terms of an arithmetic sequence 16 20 24 28 Yes the sequence is arithmetic No the sequence is not arithmetic If the sequence is arithmetic find the common difference d If the sequence is not arithmetic enter DNE d

Find the first six partial sums S S S3 S4 S5 S6 of the sequence whose nth term is given 52 62 72 82 S1 S S3 S4 S5 S6

A vendor at a carnival sells cotton candy and caramel apples for 3 each The vendor is charged 275 to set up his booth Furthermore the vendor s average cost for each product he produces is approximately 0 25 a Write a linear cost function representing the cost C x in to the vendor to produce x products b Write a linear revenue function representing the revenue R x in for selling x products c Determine the number of products to be produced and sold for the vendor to break even d If 50 products are sold will the vendor make money or lose money

Agustina has a change jar that contains 28 00 in half dollars and dimes She has 15 times as many dimes as half dollars How many of each type of coin does she have She has half dollars

5 4 TT 7 6 5 Win 4 3 2 3TT 4 TT 2 TT 4 0 1 TT 4 c Give the midline vertical shift of the function d Give the amplitude of the function TT 2 a On the graph shown highlight one period of the function b Give the period this function 3TT 4 TT e Find an equation for this graph of the form f x asin b x c d Bonus points if you can give more than one answer f Find an equation for this graph of the form f x acos b x c d 51 4

Match the equation with the graph y 1 25 10 10 5 5 y 10 51 5 10 y 10 5 10 5 5 10 X X 10 10 5 y 10 10 5 10 X y 10 5 5 10 10 5 5 10

A graphing calculator is recommended Use a graphing device to graph the ellipse x 1 10 4 2 2 y 4 2 4 2 X X 4 2 2 2 4

Match the equation with the graph y 2x y 5 4 3 5 4 3 2 1 2 1 1 2 3 4 5t y 5 4 5 4 3 2 1 3 2 1 1 1 2 3 2 3 4 5 1 X 2 3 4 5 X y 5 5 4 3 2 1 4 3 2 1 1 21 3 4 5 5 4 3 2 1 y 5 4 3 2 1 1 2 3 4 1 1 2 2 3 4 5 X 3 4 5 X

Which of the following statements are true OA pyramid has one base that is a polygon and triangular faces that meet at a point A prism has two bases that are identical polygons and rectangular sides called faces O All of these statements are true Report an Error question 3 of 5 OA pyramid and a prism have length width and height

All participants in the survey Had dizziness 48 152 Had anxiety 32 63 119 101 57 Had nausea 31 had dizziness number gives the number of participants who fall into that Venn diagram categor a How many of the participants had exactly one of the three side effects participants b How many of the participants had dizziness participants How many of the participants had both nausea and anxiety but didn t have dizziness X S

Sets B and D are subsets of the universal set U These sets are defined as follows U 1 2 3 4 6 7 8 B 1 3 4 8 D 1 2 3 4 6 Find the following sets Write your answer in roster form or as a BUD

a A g h j k B g r q h b A is the set of integers greater than 11 and less than 15 B is the set of integers greater than 11 c A is the set of odd numbers greater than 16 and less than 24 38 39 40 4 d A 93 92 91 B 91 92 93 equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equal equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equal O equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equ O equivalent but not equal O equal but not equivalent O both equivalent and equa neither equivalent nor e

Which of the graphs shows exponential decay 20 40 0 07 9 00000000 5 10 15 20 00 ooooooooooo 5 10 oooo 15 20 O Both the curves not the straight line 50 10 30 0000 oogl 5 10 15 20 Report an Error question 4 of 5

A poll was taken of 13 533 working adults aged 40 70 to determine their level of education The participants were classified by generation and by level of education The results are shown below Education Level Gen X High School or Less 2520 Bachelor s Degree 3565 Master s Degree 471 Ph D Total 67 6623 Gen Y 3961 2593 305 51 6910 Total 6481 6158 776 118 13 533 A person is selected at random Compute the following probabilities a What is the probability that the selected person is Gen X given that they have a Master s degree b What is the probability that the selected person does not have a Master s degree given that they are Gen X c What is the probability that the selected person is Gen Y given that the person has a Bachelor s degree d What is the probability that the selected person has a Ph D given that they are Gen Y

Ajar contains 8 red marbles numbered 1 to 8 and 6 blue marbles numbered 1 to 6 A marble is drawn at random from the jar Find the probability of the given event a The marble is red Your answer is b The marble is odd numbered Your answer is c The marble is red or odd numbered Your answer is d The marble is blue and even numbered Your answer is

K Determine whether the sequence is a Fibonacci type sequence each term is the sum of the two preceding terms If it is determine the next two terms of th 13 13 0 13 13 26 Is the sequence a Fibonacci type sequence Select the correct choice below and if necessary fill in the answer box to complete your choice OA Yes the next two terms are and B The sequence is not a Fibonacci type sequence Use ascending order

Three g are given below For each choose its equation from the following y cot x 2 y cscx y sec x 1 1 I 1 I 1 2 H 4 I T 1 I 1 1 Equation Choose one 5m V y tanx I I 1 98 4 y cscx y tan x 2 Equation Choose one 31 I 5x 21 I T H I I 9x 11 m 4 Equation Choose one 1 1 L I 21 I I T

Three graphs are given below For each choose its equation from the following y cotx y secx Equation y sec x y cot x 7 4 4 y 2 cscx y tanx 3x 5m 4 4 Equation rrhaarn an 4 3x 5 min S 2 Equation Choose one

A current asset is O 1 the last asset purchased by a business 2 an asset which is currently being used to produce a product or service 3 usually found as a separate classification in the income statement expected to be converted to cash or used in the business within a relatively short period of time 4

Net income results when 1 Assets Liabilities 2 Revenues Expenses 3 Revenues Expenses 4 Revenues Expenses

Suppose that 46 of people own dogs If you pick two people at random what is the probability that they both own a dog

A Produce and a distributor of gift cards produces x boxes of Cards per day at an average cost C x in dollars of C x Sy 5000 Round your answer to the nearst cent 4x 560 4 a find the average rate of change in the average list as a productio a increases from 410 boxes day to b find the average rate of change in the average cost as production Increases from 60 boves day to

J for ALG 2 Period 4 due on Apr 17 2023 question 1 of 5 Which of the following is NOT a characteristic of a normal distribution O Perfectly symmetric around its center O Mean Mean Median Mode O It is shaped like an inverted bell O Unimodal Next

The shaded region between the graphs of y 2 2 20 and y 3x 15 is displayed below in orange 25 16 1 X A Ar t 40 and a The shaded region lies between x A typical rectangle is shown in the diagram located at position x What is the height of this rectangle in terms of x Now find the total area of the orange shaded region X

Find the five number summary for the following data set 86 88 90 80 87 88 85 Min 82 80 85 90 81 85 Q1 Median Q3 Max

Specify the set by description 1 12 144 1728 20736 nonnegative multiples of 12 O counting numbers O multiples of 12 O nonnegative powers of 12 O powers of 12

pecify the sets by roster a Odd counting numbers less than 13 b Positive multiples of 3 Enter only the first three values of this se

Complete the rate table Enter fractional answers as decimals Distance km 0 4 Time min 5 LO 10 20 25 D 60

Add and simplify the following expression 2 1 5 3i 03 4i 0 3 2i 0 3 4i 0 3 4i 0 7 4i Rep que

How many roots does the equation below have 2 y x 2x 6 O2 real roots the assignment for ALG 2 Period 4 due on Feb 3 2023 O2 complex roots O 1 complex root O1 real root

Solve the equation below 2 y x 3x 5 O O X X 3 i 11 2 3 11 2 O X X 3 i 11 2 3 ti 11 2

Multiply and simplify the following expression 2 3i 4 2i 014 16i 014 8i 08 8i 6i 02 16i 02 8i

Simplify the following expression 3 2i 1 i 1 i 05 03 03 2i Next 05 2i 03 4i Report a question