Quadratic equations Questions and Answers

Convert each angle measure degrees or radians Leave each answer exact a Convert 165 to radians b Convert 17TT 9 to degrees

The terminal side of an angle a in standard position Intersects the unit circle at Information Note Use to separate numerator and denominator sin a cos a 2 cos a 3 cos a 7 13 9 15 Complete the following table using a

Match the following radian measures to their correct degree measure Triggyl 7T 4 57 6 57 4 11T 6 150 45 330 2250

2 If is in Quadrant II and sin 4 2 3 2 2 2 3 2 what is the cos 0

Find the absolute maximum and minimum for the given graph Give your answer as an ordered pair 54 3 2 3 2 2 3 4 5 a Absolute maximum as an ordered pair Absolute minimum as an ordered pair

2 5 4 3 2 1 2 1 2 3 4 5 a The function graphed above is Increasing on the open interval s Decreasing on the open interval s

3 Be Precise Benjamin is making bow ties How many yard long bow ties can he make if he has 18 feet of fabric

Question 16 2 points Expand the logarithm log 4 x y 4log 2 xlog 3 ylog 1 2log 4 3log x log y 2log 4 31og x logy log 16 log x logy Question 17 2 points Solve the equation 3 3 27

Question 28 2 points A manager is comparing the cost of buying ball caps with the company emblem from two different companies Company X charges a 50 fee plus 7 per cap Company Y charges a 30 fee plus 9 per cap For what number of ball caps will the manager s cost be the same for both companies 10 caps 20 caps 40 caps 100 caps

Question 6 2 points Given g x is a transformation of the graph f x determine which of the below correctly describe g x f x a b Asymptote y 0 g x f x g x f x g x f x a g x f x b Asymptote y 0 a b

Question 11 2 points What is the domain of the following function which is also shown in the graph 5log x 7 All Real Numbers R O O 0x 0 x 0 X 0 X 7 7 6 S L 592 65 S 43 IN do by bolo to 2 3 123

O y log x 1 Question 14 2 points Simplify 6a b 4a b O 2 4a 35 6 49 36 9 46 936 4a 36 6

Compound Interest Sarah opens a savings account that has a 2 75 annual interest rate compounded monthly She deposits 500 into the account How much will be in the account after 15 years 500 00 754 94 1255 27 255 27 Question 26 2 points Saved

Question 27 2 points Solve the following system of equations using SUBSTITUTION 3x 2y 4 y 4x 2 Which of the answers below is the corrected solution to the system 0 2 2 6 1 0 5 No Solution Question 28 2 points A manager is comparing the cost of buying hall

Sci Sicalc Lan U any real number Question 35 2 points If the original parabola defined by y x how would it change if y x 3 graphed instead The parabola would move up 3 The parabola would move down 3 The parabola would move right 3 The parabola would move left 3 were Question 36 2 points A survey is conducted on the use of Facebook of adults in the United States where 12 000 adults are surveyed and 9 450 adults said yes

There isn t enough information to determine the varia Question 41 2 points Consider the data set 18 1 15 7 9 What is the standard deviation of the data set 0 5 2 06 0 6 7 Question 42 2 points Which data set graphed below would mort lill

4 Find the roots of the each function in factored form and graph 4 f x x x 6 a x intercept s b Axis of symmetry c Vertex d Is this vertex a maximum or minimum e What is the maximum minimum value f Domain

34 1 Question 46 2 points Using a Standard Normal Distribution what is the area to the right of the z score 2 32 0 0102 0 0231 0 102 AN z scores 2 320 77

Question 49 2 points A study was being conducted about how much college students spend on the purchase of their textbooks The standard deviation of the population is 40 What sample size n is necessary to have a standard error of 10 On 4 On 10 On 16

11 Find two consecutive negative integers such that the square of the first integer decreased by 22 4 points equals twice the second integer

10 Write an equation that defines m x as a trinomial where 3x 1 3 x 4 19 Solve for x when m x 0 4 points

rule calculate area Hei Using trapezoidal is 150mm width is 7m

4 A rocket is launched upward at an initial velocity of Its flight can be modeled by f x 16x 128x How long does the rocket remain in the air 1 0 2 8 3 16 4 4 the number

7 Which equation has the same solution as x 6x 12 0 1 x 3 21 2 x 3 21 3 x 3 3 4 x 3 3

8 What are the roots of the equation x 4x 16 0 1 2 2 5 2 2 2 5 3 2 4 5 4 2 4 5

Solve using a system of equations The perimeter of a rectangular playing field is 288yd The width is 3yd more than half the length Find the length and the width

Look at the graph 10 5 101Y 51 0 5 10 5 What is the excluded value for this function 4 X 10

Graph the function 9 h x x 3 x 2 4 2 AY 8 8 16 2 XY 10 h x 2x 1 4 TUE 2 LO 6 4 2 L

11 g x 2x 4 4 MAI 2 4 2 AN 4 y 2 4x 12 h x x 4 L 2 2 2 4 y 2 4 x

15 Consider the graph of the function f a Find the domain and range of the function b Find the zeros of the function c Write the equation of the function in standard form y 1 0 t 5 0 6 2 2 4 3 4 X

Write the equation of a quadratic function in standard form whose graph satisfies the given conditions 7 Passes through 0 0 2 2 and 4 0

Find the zeros of the function 5 f x 3x 6x 45 6 j x x 9 x 5

Solve and Check x 12 Enter any solution as an integer or reduced fraction Separate with commas if there is more than one solution If there are no solutions click the No Solution button No solution

Which of the following lines of a header on a friendly letter contains a mistake 1776 Liberty Ave Philadelphia PA 19001 March 1 2009

7 6 16 9 9 9 p 7 7 2 2 7p 11 5v 3 v 2 4 11 12v 8 8 17 x 1 10 7 11v 3 7 12 10v 12 12 x 8 11 5 6x 11

Simplify each expression by combining like terms CHECK YOUR ANSWERS WITH YOUR GROUP BEFORE CHECKING WITH ARCHULETA ONCE YOU HAVE CHECKED WITH YOUR GROUP CHECK WITH ARCHULETA 1 7m 4m 3 6p 7 7p 3 5 4 r 4 3 r 6 2 7x 6x 4 8 6 2x 1 6 3 3a 5 6 a 7 Meel free to use your desk

For the right triangle find the missing quantity indicated below the figure a Do not round until the final answer Then round to the nearest hundredth as needed 81 48 km a 45 76

8 Consider the function f x 109 25 X Part A for which value of X does f x 2 Part B for which value of X does f x 3

4 what is the asymptote of the graph of the function g x 3 log x 4 23 A Y 7 B X 4 c y 7 DX 4

2 solve the following logarithmic equation for X 320g x 4 6

12 semplity Condense the logarithm log 4 2 Log x into a Single logarithm

14 Expand the logarithm in 20x Spaces between terms DO

05 5 over which x interval is the graph the function g x log 4 x 6 increasing of A 0 6 B 0 too DC6 too c too poll 8

7 Select all the solutions In x In 24 2x A 8 B 6 to the equation real 4 D e E O

when We with base a consider it the base 15 written for the log Common logarithm of 10 False

C L092 32 2 which equation is equivalent to A Log 2 2 3 2 5 B Log 2 6 3 3 2 6 32 D Logs 32 32 2 5 5 32

Find the consumer s and producer s surplus if for a product D a 25 0 0032 and S x 0 0062 Round only final answers to 2 decimal places The consumer s surplus is and the producer s surplus is

The function C t Co 1 r models the rise in the cost of a product that has a cost of Co today subject to an average yearly inflation rate of r for t years If the average annual rate of inflation over the next 11 years is assumed to be 3 5 what will the inflation adjusted cost of a 23 400 car be in 11 years Round to two decimal places Answer How to enter your answer opens in new window Keypad Keyboard Shortcuts

Calculate the ratio for cos 61 in the triangle to the right Do not use the trigonometric function keys on a calculator O A cos 61 B cos 61 OC cos 61 OD cos 61 24 44 44 24 44 50 24 50 50 61 24 44

Which ratio is used to calculate cos 61 O A cos 61 OB cos 61 OC cos 61 hmm OD cos 61 cos 61 GANA AN 44 50 50 Round to the nearest hundredth as needed