Quadratic equations Questions and Answers

and x in each factor If each expression is rewritten in standard form will the two expressions be the same Explain or show your reasoning 2 Show that the expressions 5 1 5 1 and 52 12 are equivalent

Question 29 Solve for a without the use of a calculator a 2401 49 x b 2 4 x c 72 343 x d 7 2 9 10 4

Solve the equation using logarithm 9 2 53 5 3 Next syntax incomplete

Suppose that f is a function given as f x 2x 7 Write the expression for f x h f x h Write an expression for f x h f x h Rationalize and simplify f x h f x h Now find lim h 0 f x h f x h f x h f x h f x h f x h 11

The vector 0 3 2 is a solution of the linear system x 3x2 3x3 15 5x1 13x213x3 65 x 2x2 2x3 10 O True False

Sketch the function f x 4 and determine the domain and range Draw the horizontal asymptote with a dashed line Select the correct answer below Domain Range 0 00 O 3 2 1 y 8 7 6 5 4 3 2 1 2 3 4 5 6 7 8 9 x

1 Given AABC state the six trigonometric ratios for LA B 5 13 12 A 6p

10 Use an identity to explain how to find the value of sin 0 180

Let g x 9 0 1 Selected values of h x are shown in the table X 1 0 1 h x 2 6 18 The y coordinate of the y intercept of g x is the y intercept of h x the y coordinate of

Evaluate each expression Write the exact value no decimals and no nega 2 pts each Senior Final Exam 2022 1 1 log 3 9 A 1 C 2 S U B 27 D 2 Expand each logarithm 2 pts each 3 log 4 5 log 7 y x A 17 y C x y 2 log 27 A 3 C 5 only lamiah of a toy borsot gol al gabbewer yd avio 4 log x e Rewrite each equation in exponential form 2 pts each H 2 B y x D x 17 B 3 D 9 A xlog 3 y A log u log 4 2 B 2log 3 x B log4 u log 4 v C log 3 2 log 3 x C log u log 4 v D log y log 3 x D vlog u toe zounet a no 2008 Xyd robnups dana sviat HO los ang E 201 AA1 8 rele Ca IDEA A 201 18 01 Bul 21 8 A

Choose the letter of the equation for the graph 2 a y sin x 2 1 b y cos x 1 c y cos x 1 d y cos x 2 e y sin x 1 2 Ent

Select the correct answer below O f x log1 2 x 3 O f x log1 2 x 3 O f x log1 2 x 3 O f x log 2 x 3 5 4 3 2 1 5 43 4 3 2 1 2 3 4 5 1 2 3 4 5

1 What is the y intercept of the line 2 What is the slope of the line 3 Write the slope intercept form of the function 6 3 y 9 3 3 6

Use the graph of y f x to answer the questions a For how many values of x is f x 37 There is arex value s where f x 3 b What is the value of f 1 CLLD 0 3 1040 15 42 7 0 20 2 1 1 1 11 3 33 6 0

The graph of a periodic function f is shown below where is in radians 21 a What is the period of f b What is the midline for f y Preview c What is the amplitude of f Preview Preview 3 2 1 1 Preview f 0 d Is it easier to express f as a transformation of cosine or sine sine cosine e Write a function formula for f Enter theta for 9 f 0 2 3 6

Find all real number solutions x 7x18 0

5 Solve the equation cos 2x 3 sin x 2 2

A scientist needs to make 5 4 liters of saline solution salt water in which the salt level must be at 28 concentration meaning 28 of the water is salt Unfortunately the scientist only has two types of saline solution in his possession He has saline solution with a 12 concentration level and saline solution with a 30 concentration level How much of each type of saline solution should the scientist mix together to achieve 5 4 liters of saline solution at a concentration level of 28 Let a represent the amount 12 saline solution and let y represent the amount of 30 saline solution K 9 1 point Determine which two equations ca Before moving to the next question ma equations you ve chosen 12a 30y 1 512 12x 30y 5 4 x y 1 512 12c 30y 28 x y 5 4 x y 28

2 4pts Use synthetic division or long division to find the quotient of 3r 2 2

30 Determine algebraically the zeros of f x 3x3 21x 36x

Questions are 1 Graphing quadratic equations are different from linear equation Why is this 2 What does vertex in quadratic graph represent 3 How does the quadratic equation graph shape determined by examining the equation itself 4 Can you come up with a real example of quadratic graph DUE every Wednesday Respond to your peers using complete sentences and write at least one paragraph

A Identify the graph for the equation y 3 x 3 2 2 2 4 6 8 2468 B 6 4 22 2468 C 8 6 24 2 2

You take out a loan for 4 500 and plan to pay it back over 3 years What is the total paid if your credit score is 690 Fidelity Savings and Loan Association of Bucks County Unsecured Personal Loan Rates Minimum Maximum Loan Amount 2 500 7 500 2 500 7 500 2 500 7 500 2 500 7 500 Term 24 Months 36 Months 48 Months 60 Months Annual Percentage Rate APR for Credit Score of 700 or Above 12 90 13 00 13 125 13 25 APR refers to Annual Percentage Rate based on simple interest Annual Percentage Rate APR fa Credit Score of 699 or Lower 13 90 14 00 14 125 14 25

You are preparing for the final exam in your math course You would like to know what you need to earn on the final exam to have an 85 in the course Use the table below to calcu late your needed grade Round your final answer to hundredths Category Weight Participation 15 Projects 25 Tests 30 Quizzes 15 Final 15 Simplify and Solve for the final grade f 71 60 Grade 75 80 92 85 0 15x0 75 0 25x0 80 0 30x0 92 0 15x0 85 0 15f 0 85

the rest of column E Will find the Rank of E2 in the Excel spreadsheet below compared to 0 00 0 08 A 1 2 3 4 5 6 7 8 9 10 C A RANK E2 E 1 B C Speed 1x D E 20 13 41 86 98 75 12 56 F G 14 Pausec

What is the interest accrued after 1 month A B C 7 35 4 20 14 70 MULTIPLE CHOICE Question 3 Listen Continued from the previous question You started a savings account by depositing 4 200 The savings account earns 2 1 APY compounded monthly

What is the Interest accrued in the first month A 1 300 00 B 24 768 51 C 108 33 MULTIPLE CHOICE Question 7 Listen

A rectangular garden is 20 ft longer than it is wide Its area is 4125 ft2 What are its dimensions W L

A cell phone falls off a balcony It s height in feet is given by the formula f t 16t 14 8t 90 where t is measured in seconds How long will it take the cell phone to hit the ground Round your answers to three decimal places seconds

8 6 4 2 10 8 CO NO st 4 2 Identify the equation for the graph A y 3 x 4 B y 3 x 4 C y 3 x 41 D y 3 x 4

x x 3 x 3 x 3 Simplify both sides of the equation 3x 3 7x 21 21 Move the x terms to one side of the equation and the constants to the other 4 4 x 24 Solve for x If there is no solution enter NO SOLUTION x 6 6 6 3 3 Step 2 Check Substitute your answer from part 1 into the original equation 3 7 17 Simplify and see if the equality holds 21 7

Which of the following transformations would produce a graph with the same x intercepts as the graph of A y f x 2 B y f x 2 C y f x D y 2 x 1

40 The graph below represents the thermostat settings of a house in a 24 hour period If the homeowner wants to reprogram this so that it starts 3 hours earlier and is always 5 degrees warmer which equation would he use to reprogram the thermostat T A 8 t f 3 5 B 8 1 1 3 5 C 8 1 f 5 3 D 8 t 1 3 5 Temperature in F 80 70 0 CHES GR 3 6 9 12 15 18 21 24

1 Given the equation f x whose graph g x undergoes the following transformations reflected across the x axis and shifted 4 units downward Choose the equation that models g x A g x 4 B g x x 4 C g x 4 D g x x 4

You wish to invest 8 307 into stocks of a company that are priced at 13 71 sh How many shares can you buy 0 00 0 12 Hint CA A Divide the investment by the price per share Be careful of rounding Speed 1x 605 shares Paused

To the right are the graphs of f x and g x If g x is a transformation of f x identify the equation of g x A g x f x 4 3 B g x f x 4 3 C g x f x 4 3 D g x f x 4 3 g x 4 f x X

34 Which graph has a dorpain of All Real Numbers and a range of y 37 A B C 10 D I

You invested 8 307 into stocks of a company that were priced at 12 75 sh You decide to sell the stock What is the sale amount if the stock is selling at 11 95 sh 0 00 0 16 Hint Speed 1x 1 Divide the Investment amount by the purchase price per share 2 Multiply the number of shares step 1 by the sale price per share Paused

You purchased 40 shares for 3 95 sh If you sold the shares for a total of 200 Did you net a profit or a loss CA 0 00 0 12 Hint Speed 1x Multiply the price pre share and number of shares to find the purchase price Subtract the purchase price from the sale price Paused

Determine if the following lines are parallel perpendicular or neither 2x 5y 9 10x 4y 12 Select the correct answer below Parallel Perpendicular Neither parallel nor perpendicular

Suppose you purchased a house for 250 000 and three years later it is valued at 280 000 How much equity do you have in the house 0 00 0 10 Reminder Equity Value Principal A 30 000 Speed 1x

For what value of n is a 515 given arithmetic sequence where a 17 and a 29

Writing Equations There are two options for Zeek to choose from for a cell phone Verizon Pay 15 a month and 0 50 for every text he sends or Sprint pay a flat fee of 24 per month for unlimited texts 10 1 1 point When you perform 1 Function or Not 1 Number of pennies put in reflection rotation dilation and translation rotation region Number of gumballs that came out 2 1 3 Juoton INTER Otor 4 reflection and translation 8 9 1 point Write an equation for Verizon y 15x 0 50 y 0 50 15 y 15x y 24x 0000 1 point Write an equation for Sprint y 15c 0 50 O O y 0 50 15 y 24 y 24x produces a similar shape that is not conguent mik you get a congruent shape but doing a dilation 11 Kennyly reflection rotation and dilation OO rotation translation 1 point Is the table a function Yes every x value corresponds with exactly 1y value No it does not go through the origin Yes It goes through the origin

38 of 50 Miguel has a Personal Auto Policy with Collision and Other Than Collision Coverages After some bad luck Miguel calls you with several potential claims Which one of the following claims will be paid under Other Than Collision Coverage damage to the hood of Miguel s car when a large tree limb fell on it damage to the vehicle when Miguel hit a stray shopping cart in a parking lot damage to the vehicle s paint when Miguel scraped a tree damage to the wheel when Miguel hit the carb

9 A ship is on the surface of the water and its radar detects a submarine 238 feet away at an angle of depression of 23 How deep underwater is the submarine

7 1 point Order the numbers given from least to greatest Round to the nearest tenth into lamba to trigari iliw que fainbridesni Least 36 34 tomcibuting to ilgis Hiwonamenssi 6 63 25 21 1 24 65 01 BET ito and the or 86 Combio dingthew

An operator at the top of a lighthouse sights a sailboat The point from which the sighting is made is 25 m above sea level The angle of depression of the sighting is 10 How far is the boat from the base of the lighthouse

3 2 100 1 1 point You and zeek go hiking up palomar mountain and find a part of his spacecraft It reads Distance traveled 84 240 000 000 000 miles away That is really far Write the distance that Zeek travelled in scientific notation with units 8 424 x 109 8 424 x 10 8 424 x 1013 8 242 x 10 3 1 point 1 point Line of best fit 20 0 une tenue www enlignal novige dinument Find the volume of ice cream that can fit in a cylindrical cup with a height of 3 in and a diametere of 3 in 12693 4 821 171 Find the volume of ice cream that can fit in the ice cream cone with a height of 5 in and a diameter of 2 Round your answer to the nearest tenth 900 1 point Write the equation of the line y 49 8x 6 3 y 1x 40 y 6 3x 49 8 y 50x 1 0000 Calculator 05 Calculator

33 Emily s Personal Auto Policy has Medical Payments Coverage with a 10 000 Limit shown on the Declarations Page If five people including Emily in that number are occupying her covered auto what is the maximum amount available using Emily s Medical Payments Coverage of 50 10 000 50 000

35 of 50 Carol was sitting in her parked car when it was hit by a driver operating an uninsured motor vehicle As a result Carol sustained injuries as did the driver of the other car Carol s Uninsured Motorists Coverage is available to provide coverage to whom no one since Carol s vehicle was parked Carol only the driver of the uninsured vehicle Comi and the driver of the uninsured vehicle