Quadratic equations Questions and Answers

OD tan 44 tan 44 20 21 Round to the nearest hundredth as needed

Calculate the ratio for tan 44 in the triangle to the right Do not use the trigonometric function keys on a calculator A tan 44 B tan 44 OC tan 44 D tan 44 tan 44 21 29 20 29 21 20 20 21 Round to the nearest hundredth as needed 44 29 21 E 20

Calculate the ratio for sin 33 in the triangle to the right Do not use the trigonometric function keys on a calculator Which ratio is used to calculate sin 33 O A sin 33 OB sin 33 O c sin 33 OD sin 33 33 22 22 40 22 33 33 40 33 40 33 22

Find the length of the missing side on the triangle using the Pythagorean theorem The length of the missing side of the triangle is Type an integer or decimal rounded to the nearest tenth as needed

Label the shaded angle as acute obtuse right or straight The shaded angle is a n angle right acute straight obtuse 1

The concentration C t of a certain drug in the bloodstream after t minutes is given by the formula C t 0 04 1 e 0 2 What is the concentration after 8 minutes Round to three decimal places Answer How to enter your answer opens in new window drug concentration Keypad Keyboard Shortcut

The value of a machine V at the end of f years is given by V r where C is the original cost and r is the rate of depreciation Find the value of a machine at the end of 4 years if the original cost was 894 and r 0 1 Round to the nearest cent Answer How to enter your answer opens in new window 2023 Hawkes Learning S 10 M Keypad Keyboard Shortcuts Submit Answer O tv N

f x fog 6 X 7 and g x b gof 5 X find the following composite functions and state the domain of each c fof d gog

e 2 71828182845905 Answer If you wish to enter log or In you must use the keypad 2023 Hawkes Learning 20 e2x 3 7 K Keyboard Sh Submit Answer

Suppose B 8 8 7 and AB 1 2 9 The A help points

15 points Let denote the vector space of all polynomials in the variable x of degree less than or equal to 2 Let 1 3 3x 2 3x x be an ordered basis for a Write 8 x as a linear combination of elements from the basis 8 x 3 3x 2 3x x b Let q denote the coordinate representation of q relative to the basis Find the coordinate vector representation for 8 x relative to the basis Your answer should be a vector of the general form 1 2 3 8 x 1

Evaluate the polynomial when x7 and y 8 x2 3y2 2xy

18 Cindy says that 12 3 Is she correct If not justify your reasoning and give the correct quotient

10 The following dot plot represents how fast Michael Phelps 200 meter freestyle times La a b 100 101 102 103 104 105 106 107 108 109 110 Use the dot plot to find the five number summary Create a boxplot that represents Phelps 200 meter freestyle

Two secants are intersecting outside the circle notice the whole length of the bottom secant is labeled x Find the length of the whole secant on the bottom 8 12 x

2 The length and width of rectangular pool are represented in the figure shown X A B 3x 1 C 5x 1 D 3x 1 A l w 4x x 1 3x x

2x 1 The length and width of rectangular garden are represented in the figure shown x 3 A l w Which equation represents the area A of the garden in terms of x A A 3x 3 B A 2x 6x C A 2x 5

For 13 14 graph each function SHOW WORK 13 y x 4x 2 A Os Verter 22 2 4 42 2 X 4 84 2 4 2 3 2617 X 448 2 12 2 y 16 axis of symmetry X4 vertex 4 19 y intercept 0 2 additional point s 13 14 y x 4 7 4 0 5 vertex y axis of symmetry y intercept additional point s x A y 3 4 1 2 144 2 y 4 2 4 3 10 HOW WOHE s y 10

Show your work for full credit Point R Convert the following function into factored form then graph SHOW WORK 12 y 2x 10x 8 x intercepts axis of symmetry vertex y intercept Point S additional point s 10 10 3 points okbor 6 points each

You can work at most 20 hours next week You need to earn at least 92 to cover you weekly expenses Your dog walking job pays 7 50 per hour and your job as a car wash attendant pays 6 per hour Write a system of linear inequalities to model the situation

Jonna is selling t shirts for the cross country meet The long sleeve t shirts are 12 00 and the short sleeve t shirts are 8 00 If Jonna sells thirty two short sleeve t shirts and x long sleeve t shirts write a function f x to represent the total amount of money Jonna collects from t shirt sales

Complete each problem No partial credit will be given You must show work on all questions even multiple choice questions to receive any credit 1 Find three consecutive even integers such that the sum of the integers is 14 more than twice the middle integer

2 The formula for the volume of a cylinder is V r h Find r in terms of V and h 19

4 A projectile is thrown upward with an initial speed of 800 feet per second It is given that h 15t 600t h is the height of the projectile at any given time What will you set h equal to in the equation to find how many seconds it takes for the projectile to hit the ground h feet

5 The police department uses a formula to determine the speed at which a car was going when the driver applied the brakes by measuring the distance of the skid marks The equation d 0 03r r models the distance d in feet traveled after applying the brakes in a car moving r miles per hour r is the speed of the car Factor the equation Od r r 1 Od 0 03r 0 03r 1 Od 0 03r r 1 Od r 0 03r 1 This equation is already completely factored

A design was constructed by using two rectangles ABDC and A B C D Rectangle A B C D is the result of a translation of rectangle ABDC The table of translations is shown below Find the coordinates of points B and D Rectangle ABDC A 2 4 B C 2 1 D 6 1 Rectangle ABD C A 3 1 B 5 1 C 3 4 D

Triangle ABC has vertices A 0 0 B 3 2 and C 0 4 The triangle may be classified as 4 scalene 1 Equilateral 2 isosceles 3 right

17 Find the area of the shaded sector Round to the nearest hundredths place B 25 in 1009 Use 3 14 for pi A

ets skoy pre a 585 12 Find the forener Rould LENGTH ARC the nearest tenths place BS 295 AUTRES 3m A Use 3 14 for pi GEORGIA GREZI SK MENN OWLA kala CAS

Question 30 3 3 points The store Better Buys knows that the cost to repair a computer is normally distributed with a standard deviation of 40 a 40 A random sample of 10 computer repairs and found the average of those 10 computer repairs was 154 Construct a 95 confidence interval of the population mean of a computer repair 75 60 232 40 146 30 161 70

A particular airline has determined that an average of 18 5 suitcases 18 5 get lost each week by the company with a standard deviation of 7 6 suitcases 7 6 If those parameters are correct for the year what is the probability the airline will lose a total of 1000 or more suitcases for the year 52 weeks are in a year n 52 Hint This suggests finding the probability that the sample mean would be greater than 19 23 suitcases 15 6 24 4 29 8

6 5 4 3 2 1 6 y 54 3 2 H 2 1 2 3 4 5 6 6H Write an equation for the function graphed above

The graph of f x x 2 is shown A transformation is applied to f x resulting in the function g x x 2 Which graph shows g x

Consider the following data set 20 50 20 34 89 43 84 72 38 29 57 29 For a report a person needs to represent the data in a histogram If the histogram should have 5 classes which interval below would be the best to use for the first class interval 20 33 20 50 0 33 0 25

Question 7 3 4 points Which sampling method will most likely lead to a good representative sample that is unbiased Systematic Sampling Random Sampling Stratified Sampling Convenience Sampling Question 8 3 4 points The scores of the top ten finishers in a recent race are listed below Saved

To rent a canoe the cost is 3 for the oars and life preservers plus 5 an hour fo the canoe Which graph models the cost of renting a canoe O O 25 20 15 10 0 25 20 15 10 5 0 24 25 25 20 15 10 0 25 20 15 10 2 4 2 4 2 6 6 8 8 46 8

A math tutor charges 30 for meeting you at a location and an additional 20 for every hour she tutors Which function below would describe the cost c t in dollars as a function of the number of hours t that she tutors c t 30 201 c t 20 30 c t 20 30 c t 30 20

The function c x represents the clearance price on a piece of furniture after a 20 discount has been applied to the current price The function x w represents the price on the same piece of furniture after the original price is decreased by 15 for each week the piece of furniture does not sell Which expression could represent the function c x w 0 2 x 15w 0 2 x 15w 0 8 x 15w 0 8 x 15w

Give the function Ax 3x determine the average rate of change from x 1 to x 3 O OO 12 2 1

3 25 points A hot air balloon lifted off from ground at t 0 seconds and ascended to 95 feet high after 10 seconds Determine the average velocity of the balloon over the interval t 0 seconds to t 10 seconds 9 5 ft sec 0 105 ft sec 95 ft sec 85 ft sec t 10 h 95 2 03 0

b Three of the equations below show the same relationship between the length of a leg of a right triangle a the length of the other leg of a right triangle b and the length of the hypotenuse c Which is the only equation that shows a different and incorrect relationship you may assume that all variables represent positive numbers a b c b c a Ob a 6 2 a C

Which graph correctly depicts the solution set to the following inequality 4x 5x 6 0 OC 6 3 10 mlet 1

Which inequality has solutions that would be best represented by the graph shown x 2 4x 3 0 x 2 4x 3 0 x 2 4x 3 0 x 2 4x 3 0 A C 2 H H

What is the smallest zero of the function x x 4x 12 Just enter a single number below for your answer

Which of the alternate forms of f x x 2x 8 would most directly help you determine the zeros of the function Ax x 1 9 x x 4 x 2 Ax x x 2 9 x x 2 x 4

A baseball is hit by a batter The following function describes the height of the baseball as a function of time t seconds after the ball was struck h 16 48 2 How many seconds after the ball was struck did it reach a maximum height 1 sec 1 1 5 sec 1 2 sec 1 2 5 sec

B 1 Find xin circle O The figure is not drawn to scale 0 40 C X

A triangular rug has sides that are 5ft and 4ft long with an included angle of 79 deg What is the area of this rug Enter your answer as a decimal in the box Round only your final answer to the nearest tenth ft 2

Functions On questions 1 8 solve each function for y where necessary and then identify each function as linear absolute value quadratic or exponential 1 y 6x 14 2 3x 1 2x y 3 y 7 cs 4 y x 5x x

5 Jake invested a sum of money for 6 years at a simple interest rate of 2 5 and earned 11 700 00 What was the initial amount that he invested p